diff --git "a/data/dm_maths/full_data_2/2672_11255.jsonl" "b/data/dm_maths/full_data_2/2672_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2672_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (-3*j + j + 0*j)*(-41*j**2 + 40*j**2 - 20*j**2 + 0 + 0 + j**2 - 3*j**2 + j**2 + 3*j**2 + (1 - 2 + 3)*(j**2 + j**2 + 0*j**2) + 0*j**2 + j**2 + 0*j**2).\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -218, -2\/3 in increasing order.\nAnswer: -218, -7, -2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2226 = -2*f - 10690. Let c = -2269 - f. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4720a (base 11) to base 14\nAnswer: 1ab89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 8*m + 10. Let y be f(9). Sort y, 4, -5 in descending order.\nAnswer: 4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*z = 10, -4*z = -5*j - 16 + 7. Let o(a) = -3*a + 7. Let k(b) = -2*b + 6. Let x(n) = -5*k(n) + 4*o(n). Determine x(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h + 7. Let i(t) = 5*t + 13. Give -6*i(p) + 11*x(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(1\/3))*(b\/((b**(3\/4)\/b)\/b*b))\/b)\/(b*b*b*b*b**(1\/2)*b*b*b**(-7)*b) assuming b is positive.\nAnswer: b**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z + 67. Let k(x) = 23*x**2 - 438*x + 34. Let d be k(19). Calculate h(d).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b + 9. Give c(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = r - p, 4*r - 4 = -0*p - 3*p. Suppose r*a - 14 = -6. Let o(g) = 2*g**3 + 2*g + 1. Let c be o(-1). Sort a, 5, c in ascending order.\nAnswer: c, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**4\/3 - 99094*m**3 - m**2\/3 + 99094*m = 0.\nAnswer: -1, 0, 1, 297282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 380 - 4*o**2 + 2*o**2 - 459 as n*o**2 + v + p*o and give v.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 9:18 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316212?\nAnswer: 2, 3, 13, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 1, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(1\/17)))\/o*o*o**(-9)*(o*o*o*o**3*o*o)**45 assuming o is positive.\nAnswer: o**(5966\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1285 - -1289. Let c(u) = -6*u + 15. Calculate c(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -758, -4668, -11192, -20336, -32106, -46508, -63548?\nAnswer: -83232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 11:59 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151108, -301864, -452642, -603454, -754312, -905228, -1056214?\nAnswer: -1207282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 2*x**2 - 5*x**4 + 2*x**3 + 0 + 0*x**2 - 8 + 0*x - 4*x to the form h*x**4 + u*x**3 + g*x**2 + c + p*x and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 2*r - 94 - 2*r - 7 + 505.\nAnswer: 2*r + 404","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58971273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 3*r - 38, -3*v + 13*v + 2*r = 5*v + 51 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20686138313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202121 (base 3) in base 2?\nAnswer: 1000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25276512 by 526594.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94643788?\nAnswer: 2, 19, 59, 21107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 327425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101 + 103?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 110*c**2 + 155*c - 6783. What is j(-108)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m. Let j(x) = 17*x - 1. Give 3*j(a) + 8*u(a).\nAnswer: 3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyyoyyxyyoyoxx. What is prob of picking 1 o and 1 x?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, w: 14}. What is prob of sequence wwwx?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -0.087 (c) 3 (d) -2\/13 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2 - 51*q + 52*q - 1. Calculate r(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11136*f**2 - 2*f - 51345.\nAnswer: -22272*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 6:19 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**3 + 8*o**2. Let i(r) = -6*r**3 + 9*r**2. Let n(m) = 2*d(m) - 3*i(m). What is the third derivative of n(l) wrt l?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Let t be 2\/(-16) + 0\/m. Let r be (4\/7 + 522\/(-203))*7\/(-77). What is the second biggest value in 1\/4, t, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(((-795)\/(-6))\/(-5)). Let j = -273\/212 - c. Suppose 0 = -3*q - 3, 6*q - q + 20 = 5*g. What is the second biggest value in j, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.42772327 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2660, -2650, -2640, -2630, -2620?\n\"Answer: 10*q - 2670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p = -10*p - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -113 + 80. Let j be a\/(-5) - (-12)\/(-20). Let v be (-310002)\/5 - j\/(-15). Round v to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 11 = 5. Suppose 5*b = 5*o, -3*o + 17 = 3*b - 1. Suppose -3*h - 5*a = -19, 4*h - 5*a = -b + 40. What is the smallest common multiple of h and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - -1 - (-18)\/4. Let u = -0.9 - -1. Suppose -11*h + 12*h + 5 = 0. Which is the nearest to u? (a) h (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 651583142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d**3 - 466*d**2 - 82*d + 71. Let h be f(59). Round h to the nearest one thousand.\nAnswer: -189000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*j + 2*j**3 + 11*j + 2 + (3*j - j - 4*j)*(0 + 3*j**2 + 0).\nAnswer: -4*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 u when three letters picked without replacement from mmmuummmmu.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2952 + -2832. Calculate the remainder when x is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.003, -1\/688?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*d**3 + 0 + 90\/7*d**2 - 88\/7*d.\nAnswer: -2*d*(d - 44)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1219556 - -1807968. Let w = u - 311858247\/530. Let j = w - 6\/53. Is 0.1 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-75)\/6*36\/(-30). Suppose y = 6*g - 15. Which is the third biggest value? (a) g (b) -0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 304*s**2 + 10 + 37*s**2 - 10.\nAnswer: 2*s**3 - 267*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*b + 3*b. Let w = -16 + b. Let h(t) = t**2 + 5*t - 8. Determine h(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 948 and 0.003.\nAnswer: 2.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408821395.\nAnswer: 5, 109, 750131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n + 2*n)*(-n - 4*n + 3*n) - n + n + n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f = -4*j + 21*f - 8, 0 = -2*j - 5*f - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10313486162 less than -207?\nAnswer: -10313486369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - l - 7. Let g(o) = l - 5*o + 1 + 3. Let z(q) = q - 1. Let v(r) = 4*r - 1. Let n(w) = -v(w) + 6*z(w). What is -3*g(h) - 7*n(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n\/n**(-2\/5))\/n)\/n*n)\/(n\/n**(-5)))\/((n**(-3\/11)*n*n)\/n**(1\/3)) assuming n is positive.\nAnswer: n**(-989\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r + 2*r + (-1 + 0 + 0)*(-2*r + 5*r - 2*r) + 3 + 2*r - 3)*(94*r**2 - 94*r**2 + 93*r**3 + (3*r**3 - r**3 - r**3)*(2 - 1 + 0)).\nAnswer: 282*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 399880052 to the power of 1\/2, to the nearest integer?\nAnswer: 19997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34.1 + -34. Let a = 47\/238 - -3\/34. What is the nearest to b in 3\/7, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10340*m = -10041*m - 41860 for m.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (351\/(-5712))\/(12\/(-16)). Let x = 1\/28 + p. Let a = -7\/85 - x. What is the closest to -0.1 in a, 2\/15, 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85615977 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2*g - 8)*(-2 - 2 + 5) - g - 8*g + 3*g + g + 2*g - 5*g - 3*g + 6*g - 4*g + 2*g + 0*g - 4*g + (g - g + g)*(-4 + 0 + 3).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w + 2. Let f(q) = -q**2 + 9*q + 9. Let h(b) = 9*b + 11. Let p be h(-1). Let v = -13 + 4. Give p*f(l) + v*o(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -497\/20 - -7\/20. Let u = 24 + v. What is the biggest value in u, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.09 rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 7:48 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -0.06912?\nAnswer: -0.56912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 9*w**2 - 10*w + 19. Let t be j(8). Which is the second smallest value? (a) t (b) 1 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) -1\/12 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(209) - ((1*sqrt(209) - sqrt(209)) + sqrt(209)))\/sqrt(11)*6 - (2*sqrt(2299) - sqrt(2299))**2*1).\nAnswer: 13794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q = -40. Let u be (-4)\/q + 112\/20. Find the third derivative of 2*k**u - 2*k**2 + k**6 - 5*k**6 wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*k**2 + 81 + k**2 - 4*k**2 - 93.\nAnswer: 20*k**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 52146869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 + 31*d + 23. Determine q(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 176 - 214. What is the second derivative of -5*q**2 - 70 + v*q - 25*q**2 + 70 wrt q?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27020 + 1690 = -1256*h + 10477 - 107367 for h.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-3))\/(15\/90). Suppose -4*t + 14 = 2*n, t - n + 4 = -g*n. Suppose -4*s + t*u - 14 = -5*s, 0 = -3*s - 5*u + 32. Solve -4*p = -p + s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - -4 - (1 + -2 + 7). Suppose -5*g + 35 + 25 = 0. Suppose -3*q = -g - t. What is the least common multiple of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: What is next in 94205481, 94205485, 94205489, 94205493?\nAnswer: 94205497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 15*h - 26. Let s be a(-13). Solve -5*x + 5 = s, 2*y = -0*y + 5*x - 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2053, -4101, -6149, -8197, -10245, -12293?\n\"Answer: -2048*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-8)\/4 + 20. Let v(u) = -4*u**2 - 18 + k - u + 3*u**2. Let g(c) = -c**2 + c + 1. Determine g(n) + v(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3570268 rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2)*(-28)\/56.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**3 - 3*a**2 + 4*a - 5. Let w be z(-5). Let x = 204 - 129. Suppose 0 = -3*o, x = 3*h - o + 4*o. What is the highest common factor of w and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqqkqqpxqkqp. Give prob of sequence pkk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 246 or -7063?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5\/7 + 76*f**4\/7 - 474*f**3\/7 - 232*f**2\/7 + 1592*f\/7 - 960\/7 = 0 for f.\nAnswer: -2, 1, 8, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-9)*f*f**(-2\/7))**(12\/7)*f**(-6)\/(f*f\/(f\/f**(3\/5)*f)*f*f)*(f**(-2\/5))**(1\/40) assuming f is positive.\nAnswer: f**(-103389\/4900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*g = -d + 51, -3*d - 4*g + 69 = 0. Suppose 15*v**4 - 4*v - 17*v**2 - d*v**4 + 4*v**3 - 16*v**3 + 5*v**2 = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 4:37 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 1 + 1)*(3*y**2 - 64 + 64) - y + y - y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67375, -68151, -69467, -71329, -73743, -76715, -80251?\nAnswer: -84357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2105800 is divided by 1701.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -2\/3*f**3 - 61 + 26*f**2 - 338*f. Suppose i(b) = 0. What is b?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*u + 6 - 22, l = 3*u - 8. Find the second derivative of 4*g - 26*g + 16*g**u + 16*g**2 + 0*g**2 wrt g.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-34) + (-31)\/(12648\/10560))\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/((-4)\/30 + 44\/(-120)). What is the tens digit of 132 + x\/(3 + -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htwp when four letters picked without replacement from wptih?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 60 = -153. Let u = q - 27. Suppose 7*r = 3*r + u. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/32747 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -335 divided by 124588.\nAnswer: -335\/124588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 23*c**2 + 61*c + 10. Let h be o(-18). Let t = 214 + h. Does 38 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2413, -3698, -5047, -6460, -7937, -9478, -11083?\n\"Answer: -32*r**2 - 1189*r - 1192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/5778 and 143\/454536.\nAnswer: 1363608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 9301.\nAnswer: -4\/9301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1129 + -1059. Calculate the remainder when 6019 is divided by d.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -635*u - 2534. Determine h(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppt when three letters picked without replacement from tpttttppttttpttp.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*a**3 + 139*a**3 - 324*a**3.\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 10:14 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**2 - 2*l - 5. Let k(d) = 7*d**2 - 2*d - 13. Let o(q) = -q**2 + q - 1. Let i(t) = -k(t) + 2*o(t). Give 13*h(g) + 6*i(g).\nAnswer: -2*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001302879 to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16121 - -162?\nAnswer: 16303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -472, 5, -0.1, -109?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 + 5*x + 6. Let c be u(-4). Suppose -7*i + c = -2*i. Suppose 4*w = -3*r + i, -4*r + 4*w + 2 = -r. Which is smaller: r or 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1820.526 to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 7\/2*z + 1\/4*z**2 = 0 for z.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018845 to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -126, -0.2, 3 in descending order.\nAnswer: 3, -0.2, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 2. What is i(17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 114480131 to the power of 1\/3, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2133034034 (base 5) to base 3\nAnswer: -22121201021212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 519942 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 + -15. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43698*h**2 - 87392*h**2 + 43691*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*p - 5*u + 50, -2*p = 4*u - 22. Which is smaller: 564 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v + 6*v - 4*v**2 + 3*v**2 + 2. Let n be p(3). Suppose 0 = n*x + 1 - 17. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 3*j**5 - 67*j**4\/4 + 10*j**3\/3 + 43*j**2\/2 + 2057. Find the third derivative of a(d) wrt d.\nAnswer: 360*d - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/3)\/((-6)\/(-3)) + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -339965 (base 11) to base 3\nAnswer: -1000110000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 5:22 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from eweleerl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*k**4 + 572*k**3 - k**2 - 171*k - 4?\nAnswer: -288*k + 3432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-114)\/7 + (-2)\/(-7). Let b = 29 + o. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2004355 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, p: 1, e: 2, b: 1, m: 1, l: 1}. Give prob of sequence bx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-14) - ((-1404486)\/63 + 40) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/161)\/(111\/74)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*x**2 - 268*x**2 - 41*x**2.\nAnswer: -271*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 - 45*y**2 + 119*y - 1294. What is k(21)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 39*o + 495. Let j be v(-49). Let c(f) = f**2 - 5*f - 1. Let r be c(6). Solve 10 = 5*l + r*p, 2*p - 6 = -j*l - 2*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4334157 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48900 is divided by 1397?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99 - 67. Calculate the greatest common factor of 400 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*j + 301*j - 145*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 + 19*p**2 + 7*p**3 + 3*p**3 - 6*p**2 - 9*p**3 + 2 to u*p**3 + m*p**4 + n*p**2 + x + s*p and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 7*r**2 - r - 1. Let q be f(-7). Find the third derivative of -k**6 + 0*k**6 - k**2 + 4*k**q wrt k.\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nagn when four letters picked without replacement from {g: 1, n: 4, o: 1, a: 5, p: 1, c: 5}?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5 + 2. Suppose 2*y + y - 6 = 0. What is the greatest common factor of c and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -2 - (7 + -595). Suppose 4*w = -v + l, v - 1164 = -v - 5*w. Let n = v + -407. Is n a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 958307.8 centuries?\nAnswer: 95830780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6971309 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 2*v**7\/15 + 3*v**4\/8 + 34*v**2. Let z(k) = -k**4 + k. Let o(r) = l(r) - 5*z(r). What is the second derivative of o(t) wrt t?\nAnswer: 396*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4366*p**2 + 5949.\nAnswer: 8732*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -70. Let f = y + -27. Calculate the highest common divisor of 24 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -21*o - 247. What is the remainder when v(-61) is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -477*x - 929. What is y(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2522536 or 2522535?\nAnswer: 2522536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-14) + 20\/(-28). Let o be (1 - u)\/((-2)\/172). Let p = o - -287. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by 190?\nAnswer: 47\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 2*n**2 - 10*n - 17. Let v be y(5). Suppose 49 + 79 = v*p. Calculate the greatest common divisor of 112 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 253933922?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - d. Let m(v) be the second derivative of -v**4\/3 - v**3\/3 - 5*v. Let k(i) = 2*a(i) - m(i). Let u(p) = 16*p**2. Calculate u(k(y)).\nAnswer: 64*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 2*d**2 + d + 2. Let l be s(-2). Let g(u) = 4*u**2 - 1 - u**3 + 2 + l*u**2. Is g(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -253 - -69. Is y at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 0.4, -0.2, -1832, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -280 + 478. Let v = 201 - x. Which is the third smallest value? (a) -0.5 (b) 1.7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 2*o**2 - o + 1. Let q(x) = x**2 + 7*x + 4. Let k(c) = -c**3 - 3*c**2 + c - 3. Let n be k(-3). Let d be q(n). Give i(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86 - 84. Let s(f) be the first derivative of 0*f + 1\/2*f**2 + k + 0*f**4 - 3\/5*f**5 + 0*f**3. Find the second derivative of s(h) wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z - 269*z**2 + 298*z**2 + 31*z in the form y + v*z**2 + c*z and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -85*n + 77290 + 246759. List the prime factors of n.\nAnswer: 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 4*g + 9)*(0*g**4 - 6*g**4 + 3*g**4) - 3*g**5 + 0*g**5 + 0*g**5 + (3*g - 3*g - g)*(2*g**4 - 4*g**4 + g**4).\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, u: 11}. Give prob of sequence zuzz.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 5*j**4\/24 - j**3\/3 + j**2. Let m(i) = 3*i**2 - 5. Let d be m(2). What is the tens digit of c(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -24. Let j(o) = -5*o**2 - o - 8*o**2 - 6*o**d + 13*o + 7*o**3 + 15. Let x be j(12). Calculate the highest common factor of x and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, -18, -14, -10, -6, -2?\n\"Answer: 4*k - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 179000 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 52 - 242. Let h = 591\/4 + d. Let z be 42\/(-10) - 4\/(-20). What is the second smallest value in z, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 8*j**2 - 8*j + 6. Let k be u(-6). Let h be 4\/k - 5\/(-9). Let g = -0.5 + 0.3. What is the third smallest value in 5, g, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**3 + 53560*k**2 + 846833.\nAnswer: -3*k**2 + 107120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 273 - 192. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -416, -625, -834, -1043?\nAnswer: -1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 10:27 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15689509879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r + 4. Suppose 0 = v + 3 + r. Put v, 1, -2 in decreasing order.\nAnswer: 1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48879262 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 118362\/5 >= 23671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34285 - 34285 + 5*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 100 + 208 = 0. Suppose v - 5*w = -5, 0 = -42*v + a*v + 5*w - 65. Calculate the remainder when v is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(11\/3))\/d*d**32 assuming d is positive.\nAnswer: d**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2. Let y(f) = -1352*f. Determine y(o(k)).\nAnswer: -1352*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 3\/2*o**2 + 5 - 3*o - 2\/3*o**3. Calculate v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -249\/8. Which is the smallest value? (a) -0.5 (b) -3 (c) x (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.7 + 7.7. Which is the second biggest value? (a) -0.2 (b) -2 (c) -0.3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 + -35. Let g(w) = w**2 - 9*w + 22. Calculate the least common multiple of g(t) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51338\/3 + -17114. Let g = 0 - 0.1. Let m = -8 + 2. What is the nearest to g in 3\/8, c, m?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -465 + 234. Let f = x + 230.7. What is the smallest value in -0.1, f, -2\/7, 0.02?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.5, 0.056031, -1\/4 in decreasing order.\nAnswer: 0.056031, -1\/4, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + ((2*sqrt(140)*5)\/(sqrt(252) + sqrt(252) + sqrt(252) + 1*sqrt(252) - (sqrt(7) - sqrt(112)*-2)))**2.\nAnswer: 152\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = -6*g. Suppose -3*k + 3 = 4*n, 0*n + 4*n = g*k - 2. What are the prime factors of (-386)\/(-4) - k - (-6)\/12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-3536)\/3)\/(-4)*(-13338)\/(-936) and 78.\nAnswer: 25194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39515*i - 197590*i + 39517*i + 39515*i + 39511*i + 39529*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) + (-39)\/(-6). Let f(h) = -3 + r*h**2 - 2 + 0 - h. Let u(c) be the third derivative of -c**5\/20 + c**3\/3 - 6*c**2. What is -2*f(k) - 5*u(k)?\nAnswer: k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 260.6 - 39.6. Let o = -3911\/3 - -1304. Is o greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4\/2 + 25*q**3 - 44*q**2 - 192*q = 0 for q.\nAnswer: -2, 0, 4, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8cdc (base 14) to base 5.\nAnswer: -1240443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -14*10\/(-35). Solve -5 = -w - v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 + -1 - 9 - (12 - 7)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x + 6 = 0. Let l = x - -7. Let f be l\/3 - (-5)\/15. Solve 8 - 2 = f*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -15553.61\nAnswer: 15553.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 5*p**2 + 0*p**2 + (-5 - 3 + 6)*(2*p**2 - 3*p**2 + 0*p**2) + 223965*p + p**2 + 1279 - 223965*p.\nAnswer: -p**2 + 1279","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14037 is divided by 195?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 c when four letters picked without replacement from {o: 3, c: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 3*c + 28 + 5, -5*k = -2*c - 62. Let a be (-2 - -9)\/(2\/10). Is (k\/14)\/(5\/a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 - -45. Suppose b*h = 2*h + 18. Let p be (h + -5)\/((-2)\/(-8)). Solve -3*w + 5*z = -p*w - 20, -5*w - 4*z = 37 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15199*r**3 + 270199?\nAnswer: -45597*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5 - 5. Let t be (b\/2)\/(6\/(-18222)). Suppose -4*m = s + m - t, 5*m = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0264, -0.2, -23 in decreasing order.\nAnswer: -0.0264, -0.2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*u**3 - 4)*(-224*u + 19*u**2 + 224*u).\nAnswer: -57*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 2026426?\nAnswer: -2026435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*j**3 + 3*j**3 - 13*j**3.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 6:17 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/145734 and -109\/108.\nAnswer: 2623212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 - 3*x. Let o be z(-3). Let c = o + -30. Solve -3*w + c = -0*q - 2*q, w + q = 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3655013+0.4\nAnswer: -3655012.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 + 2*i**2 + 2*i - 6. Let z(s) = 5*s**3 - 1. Let q be z(1). Suppose -2*m + 6 = -5*r - 8, -5*m = -q*r - 18. List the prime factors of u(m).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54579 and 6923?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 27 = -12. Suppose -2*a + c*w = -79, -5*w - 143 = -0*a - 4*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9832542?\nAnswer: 2, 3, 89, 18413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-10))\/(2\/(-4)). Let j(t) = 1. Let v(y) = 3. Let o(k) = 2*j(k) - v(k). Let p(s) = 5 - 3*s + s**2 + 3*s. Calculate h*p(m) + 5*o(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = 4. Suppose -2*r - 6*r = -3*r. Solve 4*t + 21 = -5*n, r = t + s*n + 8 + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5206 = 426*f - 152*f for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 + 11*w**2 - 23*w**2 + 2*w**2 + 4*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -137864382*o**4 - 215961015*o + 1 wrt o?\nAnswer: -1654372584*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 27. Let v be y(7). Find the third derivative of -2493*t**3 - 24*t**v + 23*t**2 + 2493*t**3 wrt t.\nAnswer: -2880*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i**2 - 694 + 694 - 8*i**2.\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*z + 9. Let k be (-5)\/10*z*2. Let t = k - -11. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4383849809.\nAnswer: 281, 15600889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p + 272 = 4*p - 10*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027 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: Evaluate -9 + (8 + -14 - -23).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m. Let z(l) = m*l - 2*l**2 - 3*l + 3 + 8*l**2 - 3*l**2. Let t be z(2). Calculate the highest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 7, -12897\/8 in descending order.\nAnswer: 7, 1\/9, -12897\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -39. Let u be ((-10)\/(-15))\/(r\/18). Suppose 0 = b - u*f - 65, 0 = 8*f - 3*f. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 73*a**2. Let z(o) be the third derivative of 0*o - 1\/6*o**4 + o**2 + 0*o**3 - 97. Calculate k(z(h)).\nAnswer: 1168*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o + 89 + 1. Let f = -9 - o. Suppose 19 = 3*b + d, 0 = -5*b + d + f + 31. Calculate the lowest common multiple of b and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, v: 14, n: 1}. Give prob of sequence zvz.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 81011629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18601 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, 2254, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(66)*-6 - (sqrt(66) + sqrt(66)*2 + sqrt(66))*2)*6)\/(sqrt(30)\/(sqrt(55)\/sqrt(11)) - sqrt(1536)\/sqrt(4)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 11121?\nAnswer: 711744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a tonne in kilograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 2234*w**2 - 38524*w + 36288.\nAnswer: 2*(w - 16)*(w - 1)*(w + 1134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11256 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - y - 2)*(3 - 2 + 2)*(-13*y - 4*y + 19*y - 5) + (0*y - 4*y + y)*(-4*y - 3*y + 3*y) in the form q + v*y + x*y**2 and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(2)*-5)\/(sqrt(5) - sqrt(5)*-2*-5).\nAnswer: 5*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12404 divided by 4.\nAnswer: -3101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*o - 3 - 25*o**3 - 33*o + 53*o wrt o.\nAnswer: -150*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13089, 52356, 117801, 209424?\nAnswer: 327225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 1 + -34 + 41\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 22*w**2 - 23*w + 37. Let o = -3944 - -3965. Calculate i(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -170.8 + 170.7201. Round r to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30792911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 75. Calculate the remainder when 75 is divided by r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -232?\nAnswer: 22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4917044 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000715 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1648557?\nAnswer: 3, 113, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73929 + -46983. Calculate the highest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 12, -1, -30, -81, -160, -273, -426?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -25, 0.7, -3\/5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9628303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 8. Let k(s) = 2*s - 4. Let j be k(-7). Let z be 24\/j + (-2)\/(-6). Which is the third smallest value? (a) z (b) i (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*t + 46*t - 93*t**3 - 93*t.\nAnswer: -93*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 59\/(-118)*577*8*2. Let y be 300\/(9220\/n + 2). Round y to the nearest 1000.\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 1, v: 4, s: 1, y: 1}. Give prob of picking 1 y, 1 v, and 1 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/72*-15)\/(4\/((-288)\/20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -80, -199, -428, -803, -1360, -2135, -3164?\nAnswer: -4483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = 0. Suppose l = -5*t - 4*l + 35, 5*t - 2*l = d. Let w(p) = 6*p - 3. What are the prime factors of w(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 250 and 8537825.\nAnswer: 85378250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 40082328+29.19\nAnswer: 40082357.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -376 + 536. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 209*c - 1116. Let a(p) = 47*p - 279. Determine -9*a(r) + 2*g(r).\nAnswer: -5*r + 279","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26770 + 120?\nAnswer: 27110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 l when three letters picked without replacement from {l: 8, n: 8, w: 4}?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u + 47*u = -14. Let a(n) = n**2 + n - 2. Give a(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/35)\/((-8)\/20).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130\/12 - 5\/(-30) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(-2\/3)*o)*o)\/o**(-2\/3))\/(o**(2\/9)\/o**(1\/3)))\/(o**(-1\/11)*o\/(o\/o**(-1\/13)))**(29\/2) assuming o is positive.\nAnswer: o**(6278\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, z: 6, w: 2, d: 4}. What is prob of picking 2 d and 1 x?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20315)\/(-69071)*(2\/8*14 - (-6)\/(-4))?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 178328, 356598, 534860, 713108, 891336, 1069538, 1247708?\n\"Answer: -i**3 + 2*i**2 + 178271*i + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.869 to one dp.\nAnswer: -33.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82703689*a**5*q**3 + 2755*a**2*q**3 + 1107*a**2 wrt a.\nAnswer: -4962221340*a**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 3, -3, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -2\/5, 3, -0.3, -3\/20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -20305033 (base 6) to base 8\nAnswer: -2165155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -5271840.6.\nAnswer: 5271836.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1002, 1021, 1040, 1059?\nAnswer: 1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1568 - -949. Let p = a + -2283.4. What is p rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 - 24. Suppose 0*p = -4*p + g. Solve -2*y - y - p = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -135166*j**4 + 225109 wrt j.\nAnswer: -540664*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29300 and 9415555?\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21401 - -5?\nAnswer: 21406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*d = 9, 7 = -2*k + 4*d - 3. Let p be 13\/k - 6\/18. Suppose 1 = -p*a + 21. Solve 0 = 3*s + c - 5, 4*s - a*c = 9 + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15.9, -2\/3, 0.2.\nAnswer: -2\/3, 0.2, 15.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 r when three letters picked without replacement from {n: 6, p: 4, r: 7}.\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 524*t**3 + 525*t**3 - 25 + 527*t**3 - 2107*t**3 + 528*t**3.\nAnswer: -3*t**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 834052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16423262?\nAnswer: 2, 8211631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70277.\nAnswer: 31, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4 - 2*d**3 + 511*d**2 - 70*d + 1519865 wrt d.\nAnswer: 8*d**3 - 6*d**2 + 1022*d - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 52.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u**2 - 48*u + 9. Let s be a(7). Suppose -s*w = -38*w + 88. Solve -2*h + w = 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.63 (b) -1 (c) -8 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/13974202 and 61\/207.\nAnswer: 125767818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 24*x - 7*x + 28*x.\nAnswer: 46*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -3.63224.\nAnswer: -1.089672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12836772 and 4914.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 - 77*r\/5 + 134.\nAnswer: (r - 67)*(r - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4 + -12 + 18). Suppose i = -1 + 3. Solve -b - u + i = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2580, -32, 0 in increasing order.\nAnswer: -2580, -32, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(13\/4))**(2\/59) assuming b is positive.\nAnswer: b**(13\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.79137 + -1.19137. Let n = -1 - -1. What is the third biggest value in w, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/4)\/(156\/2080*-55)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331745 is divided by 169.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 5293900 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 + (-52 - -197) + (19 - 2).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**5)*s\/((s**(-12)*s)\/s)*s*s**(-1\/3)\/(s*s**(-3\/8)*s))**(8\/15))**18 assuming s is positive.\nAnswer: s**(338\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -314, -630, -946, -1262, -1578?\n\"Answer: -316*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m**3 - m. Suppose x = -2*w - 5, 3*x - 7*w + 9 = -10*w. What is n(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/7 + 282*t**3\/7 + 8880*t**2\/7 - 10952*t = 0. Calculate t.\nAnswer: -74, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**2\/5 - 488*c\/5 - 484\/5 = 0 for c.\nAnswer: -121, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 12. Let d be z(12). Suppose 4*c = -2*b + 8 + 4, 0 = 4*c - 2*b - 20. Sort c, d, 2 in descending order.\nAnswer: c, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdsrfr. What is prob of picking 1 s and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/210)\/(477\/12720)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1413 is divided by 234?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/3 and 47.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 11. Suppose -r - p + 2 = 0, -4*p + 4 = 3*r - q. Solve 0 = 2*s + 3*l + 2 + 1, r*s + 1 = -5*l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.59 at most -9.170208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18387261.\nAnswer: 3, 37, 55217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x**4 + 12*x**4 + 13*x**4 + (x**2 + x**3 - x**2)*(-7*x + 10*x + 3*x) to the form p + h*x**3 + a*x**4 + r*x + d*x**2 and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 114014634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 38\/137?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 100\/21 at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/130 and 29\/54132.\nAnswer: 270660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/193?\nAnswer: 3\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -6. Suppose -2*f + f = -q - 1, 2*q + r = f. Let p be (f - 0)*1\/1. Which is bigger: 7\/3 or p?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22106*i**2 + 273 - 21998*i**2 - 273.\nAnswer: 108*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**3\/5 - 1056*v**2\/5 - 61821*v\/5 + 631584 = 0. Calculate v.\nAnswer: -255, -129, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + 344?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4270 and 2135?\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -2, 7 in decreasing order.\nAnswer: 16, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4*h**2 + 1)*((4 + 0 - 2)*(3*h + 0*h - h) + 2*h + 2*h - 2*h - 3*h + 2*h + 4*h) as d*h**3 + f*h + r + l*h**2 and give d.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7722495 and 9438605?\nAnswer: 84947445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 - 45. Let f = 14 - 21. Let s = d + f. What is the biggest value in s, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - o - 3*o + 12, 3*p = 2*o - 34. Suppose 11 + 9 = 5*i - 5*w, 5*w = i. Let a be i\/7 + (-4)\/p. Let c(z) = z - 2. Calculate c(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 53*b - 87*b + 950177600 = 0. Round b to the nearest ten thousand.\nAnswer: 6990000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/8803?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 199, 269 in increasing order.\nAnswer: -50, 199, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -557, 1125, 4309, 8995, 15183, 22873?\n\"Answer: 751*n**2 - 571*n - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 2. Let o(p) = -3*p - 4. What is 5*h(j) - 3*o(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 - l + 1. Let c be p(1). Suppose 0 = c*h + 5*j + 3, -3*h + h + 2*j = -12. Suppose h*m - b - 138 = 2*b, -5*m + 216 = 2*b. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 2*z**3 - z**2\/2 - 7*z + 13. Is y(5) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17740, 35468, 53194, 70918, 88640, 106360, 124078?\n\"Answer: -q**2 + 17731*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 7*w + 46 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 201.5611.\nAnswer: 1612.4888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*f + 235 = 0, z - 8*f = -10*f + 220. Suppose 0 = -2*l - 2*m + z + 328, 3*l + 4*m = 802. What are the prime factors of l?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000026035481 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-12)\/20)\/(4\/(-30)). Let i(g) = -g**2 - 12*g + 5. Let v be i(t). Let d = 121 - v. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13\/2 - 2)*2. Let k(c) = c**3 + 5*c**2 - c + 1. Let l be k(-5). Let i = d - l. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**3 + 4*o**2 - 1. Calculate r(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -281696810 divided by -58022.\nAnswer: 4855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27277, 27326, 27449, 27682, 28061, 28622?\n\"Answer: 6*r**3 + r**2 + 4*r + 27266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*z**2 + 10*z**2 + 14*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f - 75. Solve u + 2*u = -3*q - f, -4*u + 3*q + 1 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**6\/60 + 8*f**5\/15 - 25*f**4\/12 - 14*f**3 - f**2 + 679. Find p such that z(p) = 0.\nAnswer: -1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3)\/l)**(3\/8) assuming l is positive.\nAnswer: l**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -649?\nAnswer: -649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2. Suppose 2*j - 100 = j. Let r(l) = 7*l**2 - j*l + 100*l. Calculate r(h(b)).\nAnswer: 7*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*v + 1 + 11*v + 9*v + v**3 to the form b*v + l*v**3 + n*v**2 + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1256, -4961, -11132, -19769, -30872, -44441?\nAnswer: -60476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507462?\nAnswer: 2, 3, 83, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135144 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**5\/9 + 26*m**4\/3 + 92*m**3 + 1792*m**2\/9 - 320*m - 1024 = 0?\nAnswer: -4, -3, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-240)*-2)\/((-6435)\/360).\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 662, 1408, 2368, 3668, 5434, 7792, 10868?\n\"Answer: 21*f**3 - 19*f**2 + 656*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + g - 28 = -g, 3*p - 43 = -5*g. Let h = p - 6. Suppose h = -5*n + 32 + 13. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 - 22 - 5*x + (3 - 1 - 4)*(-686 + 686 + 15*x).\nAnswer: -35*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*1\/27 + 420700\/63. Suppose 31*f = 10*f + v. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Suppose -r - r = -5*l + 20, r - 11 = -l. Solve k = 5*h + 2 + 2, -3*h - l = j*k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1020043 (base 5) to base 9\nAnswer: 25155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1460*q + 2372 wrt q.\nAnswer: 1460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/21869055 and 89\/18.\nAnswer: 43738110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6985596.\nAnswer: 2, 3, 757, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*g**2 + 12 + 317*g**2 - 968*g**2 - g**3 - 5 - 7 + 319*g**2.\nAnswer: -g**3 + 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/935942 and -89\/28?\nAnswer: 1871884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*a**2 + 31 - 20*a**2 - 26*a**2 wrt a.\nAnswer: -120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 3084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 0*w + 47\/2*w**2 - 34 + 9*w**3. Find the second derivative of l(i) wrt i.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**3 + 771*d**2 - 3003*d - 156. Give s(-158).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776 is divided by 775.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 281 - -1690. Calculate the remainder when d is divided by 1958.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324106 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.157 - -35.057. What is a rounded to zero decimal places?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**3\/3 - 2*a - 3. Let d(f) be the first derivative of h(f). Let r(p) = -6*p**2 + p**2 + 2*p**2 + 2*p**2. Calculate r(d(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*j - 1\/6 - 1\/2*j**2 = 0 for j.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)*5 - sqrt(405)) + 1 + -1*(0 + sqrt(405) + sqrt(405) - sqrt(405)))**2.\nAnswer: 54*sqrt(5) + 3646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52295\/13572 + 3\/377. Calculate the common denominator of a and 53\/2304.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 157 = 59. Calculate the remainder when 68 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1563 is divided by 740?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 5:10 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 4. Let c be i(3). Suppose -3 = -m, -4*v + 9 = v + 3*m. What is the third biggest value in v, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30258 = 177*f - 95*f. Let d be 1\/3 + 431\/3. Let y = f - d. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/382 and 35\/49249.\nAnswer: 18813118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 13.43, 511, -0.3 in increasing order.\nAnswer: -0.3, 0.5, 13.43, 511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18481217?\nAnswer: 18481217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3574*v - 2122*v + 40529 = 12049 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -83*f**2 + 14*f. Suppose -42*t + 24*t + 16*t - 34 = 0. Let l(i) = 28*i**2 - 5*i. Calculate t*l(a) - 6*d(a).\nAnswer: 22*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 43406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (41769\/(-3315))\/(((-16)\/(-4))\/20)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 3:13 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 12 = -3*l. What is the least common multiple of l and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 16 + 16\/5*p**5 + 0*p**4 + 20*p**2 + 0*p + 0*p**3. What is the second derivative of u(z) wrt z?\nAnswer: 192*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**17*x*x**8\/x)\/(x*x**(-2\/41))**(-22) assuming x is positive.\nAnswer: x**(1883\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 12, d: 3, t: 1}?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12997 - 6972. Does 71 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -482536 to the nearest 10000.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 20 = -0. Let n be (-1)\/(6\/g)*-3. Suppose -180*m + 178*m = -5*s + 21, 0 = -m - 4*s + 9. Which is smaller: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 4*w = -12. Solve -w*k - p = 2*k - 7, -8 = 4*k + 4*p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 1 - 23*q + 6*q.\nAnswer: -21*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (97\/776)\/((-6)\/8).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222 is divided by 647?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22112221212 + -11221?\nAnswer: -22120010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 10:44 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-135)\/162)\/(2\/(-12)). Suppose -i - m*h = -377, 3*i = 4*i + 3*h - 379. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t - 3. Determine s(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*h + 4*j, 2*h + 2*j = -h + 3. Let q = 60 - 64. Let m be (-9)\/(-2) - q\/8*-1. Solve 5*s = k + m, -s - h*k - 12 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (2 - 22) - 121\/22\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29290144 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.74791 nanoseconds in seconds?\nAnswer: 0.00000009074791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69)\/230)\/((-4)\/5)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12400 - -51523. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -178*c. Let w(y) = -912 + 912 - 5*y. Determine m(w(g)).\nAnswer: 890*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051402917 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225 - 225 - 6*a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -179.1 - -179. Let n be (-2 - 2)*10\/8. Which is the closest to q? (a) n (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2))**(-20))**(-10))**(15\/7) assuming u is positive.\nAnswer: u**(-6000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3\/11, 2, -0.6, 4 in descending order.\nAnswer: 4, 2, 3\/11, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -141, -150, -173, -216, -285?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128500 and 44975?\nAnswer: 899500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62514 (base 8) to base 3.\nAnswer: -1022120110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -615 + 3063\/5. What is the common denominator of j and -11\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 18*j - 10*j. Let u(t) = -t**3 + 517*t - j - 3*t**2 - 515*t + 3*t**2. Suppose c = -0*c - 3. Calculate u(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 255 = -3*v. Let x be (4\/(-10))\/(2\/(-170)). What is the greatest common factor of x and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 - -77. Is (-9)\/((-108)\/(-8))*k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141305300 (base 6) to base 2\nAnswer: 1010111100110100000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 5*q - 255 = 0, -230*q = 3*d - 231*q + 55 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 14852.64t?\nAnswer: 14852640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361*l + 262*l + 2 - 5.\nAnswer: 623*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:44 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 61.7878207 and 0.04.\nAnswer: 61.8278207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*s**3 + k**3 - 144*k*s**4 - 73*k*s**2 wrt s?\nAnswer: 6*k**3 - 3456*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*w**4 + 10*w**4 + 8*w - 2*w**4 + 3*w wrt w.\nAnswer: 144*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-9))\/((-7427)\/305568).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6675*x - 88 + 34 + 6673*x - 13345*x)*(-4*x + 0*x + 3*x).\nAnswer: -3*x**2 + 54*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54043.9kg in grams?\nAnswer: 54043900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 291408600 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a factor of 4043392717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5\/11 + 4*n**4\/11 - 12*n**3\/11 - 16*n**2\/11 + 10*n\/11 + 12\/11 = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g - 6. Let a be k(-2). Let u be (-186)\/(-24) - a\/(-16). Solve 5*v + 3*t - 13 = u*t, 4*v - 4*t = 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*i - d, i - 5*d - 15 = 5. Suppose 0 = -t + 5*t - 8. Suppose b - t*b + 9 = i. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -3*x**5\/20 + 289*x**4\/8 + 97*x**3 + 4*x**2 + 19. Find l, given that d(l) = 0.\nAnswer: -2\/3, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by 64?\nAnswer: 53\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20155688587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**10\/50400 - k**9\/20160 - k**8\/6720 + k**7\/1680 - k**5\/20 - 4*k**2. Let s(z) be the third derivative of x(z). Factor s(a).\nAnswer: 3*a*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -243 by -1.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*r - 5*r - 6, 4*h - 3*r = 15. Suppose -14*a = -h*a - 44. Put -1, 129, 1, a in decreasing order.\nAnswer: 129, a, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -349669\/2 or -174834?\nAnswer: -349669\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.5 + -2.5. Let n = -0.6 - 2.4. Sort 2\/7, n, s.\nAnswer: n, s, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2861*s + 20553 = 1240*s - 135285 for s.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26503, -53005, -79507?\n\"Answer: -26502*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (40\/(-22) - (-3 + 3)) + 2. Which is the third smallest value? (a) 0 (b) 4\/7 (c) l (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2698 and 456?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -341\/5 - -68. Let s be 224\/(-49) + (-3)\/7. Put s, z, -0.1 in decreasing order.\nAnswer: -0.1, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12858 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: Let b = -741 - -717. Do b and -0.05 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 24080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (16 - 45)) + -41?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-9)*(-9)\/4*804\/2412?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33204080 and 12?\nAnswer: 99612240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*b, -95 = 5*z + 23*b - 22*b. Let s be 15\/(-12)*-4 - (-96)\/z. Put s, -45, -4 in decreasing order.\nAnswer: s, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - s + 359014*s**2 + 20717*s**2.\nAnswer: 379731*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.708620102 rounded to one decimal place?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5264622*h**2*r + 2*h*r - 2*h - 2701*r + 51 wrt h.\nAnswer: -10529244*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11947536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**5\/2 + 7*o**4\/2 + 39*o**3\/2 - 87*o**2\/2 + 22*o = 0. What is o?\nAnswer: -11\/3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 7820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**5\/60 + 5*u**4\/24 + u**3\/6 - u**2 - 59*u. Calculate k(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -31 + (2 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 121*h**2. Let x(w) = 56*w**2 - 5*w - 20. Let u(f) = -53*f**2 + 4*f + 16. Let b(o) = 5*u(o) + 4*x(o). Give q(b(t)).\nAnswer: 203401*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -19*f - 63. Let t be n(-4). What is the greatest common divisor of 247 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -1 (c) 10081\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94790617, -189581241, -284371865, -379162489, -473953113?\nAnswer: -568743737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 11:02 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -5651265050.\nAnswer: 5651265051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15215697*p**5 + 4*p - 214023 wrt p.\nAnswer: -304313940*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1. Let i be (-1 - (-30)\/35) + 589\/7. Suppose -2*a + 119 = 293. Let z = a + i. Let k(o) = -o**2 - o + 1. Give z*j(v) - 2*k(v).\nAnswer: 2*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -26, 101, 352, 769?\nAnswer: 1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.033072547 to 3 decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmymxhxl. What is prob of sequence hlx?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 27*t**2 + 11*t - 8. Suppose -l + 72 = 68. Let b be m(l). What is the greatest common factor of 104 and b?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -11*d + 37 - 75 + 31. Let o(g) = -11*g - 6. Let y(i) = 6*o(i) - 5*u(i). Determine y(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76961 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypx when three letters picked without replacement from ppypypxpppppppy.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119102927?\nAnswer: 61, 859, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00255182 rounded to five dps?\nAnswer: -0.00255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*l = 109*l + 2625. Let a = l + -519. Solve -x + 5 = k, a*x = 3*x - k + 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138 and 31671966?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*sqrt(85)*-1 - (sqrt(85) - -4*((sqrt(85)*2 + sqrt(85) - sqrt(85)) + sqrt(85)))))\/(sqrt(225)\/sqrt(5) + (sqrt(245)*-1 - sqrt(245) - sqrt(245))).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-208)\/(-520))\/(2\/(-25))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835869?\nAnswer: 3, 278623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - f**2 - 11956 + 2*f**2 + 23909 - 11953.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/5)\/p*p)\/(p*(p\/((p\/(p*p**(-1\/4)))\/p))\/p) assuming p is positive.\nAnswer: p**(-23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*p - 103*p + 3665. What are the prime factors of p?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11759332, -11759331, -11759330, -11759329?\n\"Answer: m - 11759333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -2 (c) -0.04 (d) 13 (e) -584\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4 + 2572*r**3 + 404268*r**2 - 2978300*r - 3380000 = 0.\nAnswer: -325, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 3. Let d be b(0). Let c(g) = g**3 + 7*g**2 + 7*g + 3. Let l be c(-7). Let t = l - -38. Sort d, t, -5 in ascending order.\nAnswer: t, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -16, 5.733, 4, -0.5, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*((4 - 4) + -1). Let b(l) = 10*l**2 - 2*l + 7. What is the tens digit of b(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 756 = -7*d. Let b be d\/49 - 4\/(-14). Suppose 3*l = -b + 86. Is l a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79 or 2783\/35?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38500 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -8 - 11)\/13\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 35344386 and 31732.\nAnswer: 35376118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 11:40 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/(-98) - (-22)\/(-77). What is the nearest to i in -4\/3, 5, 2, 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 5*s**2 - 3*s + 4. Let f be x(-4). Let n = 2708\/11 + -246. Which is the nearest to f? (a) n (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from {z: 2, j: 2, r: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.7*4991.\nAnswer: 18466.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 24 - 54 + 30.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1429 times -1?\nAnswer: -0.1429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160 - 84. Let w be ((-5)\/2)\/(-2 - p\/(-40)). Determine t so that w + 3*t - 3*t**2 - 25 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.239 + 0.639. What is the nearest to -4 in 0.5, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -74.2?\nAnswer: -74.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 18 + -21 + (2 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + -83 - (16 - 50)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4070 is divided by 1595.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 441976?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10111 + 22203233?\nAnswer: 22213344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from {d: 18, o: 2}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.514 take away -17.6?\nAnswer: 16.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1659 - g + 0*g - 1331)*(0 - 2 + 3).\nAnswer: -g + 328","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**2 - 116925*u + 701370 = 0.\nAnswer: 6, 23379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2467, -2491, -2561, -2701, -2935, -3287, -3781?\n\"Answer: -4*r**3 + r**2 + r - 2465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*n**2*z**3 - 300849*n**2 + 2*n*z**3 - 8*n*z**2 - 13805*z**3 wrt z?\nAnswer: -150*n**2 + 12*n - 82830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 841302531?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -37. Let v be (-4 - 0)*(1 + t). What is the common denominator of 55\/2 and 468\/v - (-1)\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-264)*2)\/(6\/(-24))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -48 + 0*j**2 + 55*j - 47\/3*j**3. What is the first derivative of u(k) wrt k?\nAnswer: -94*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267 a factor of 292508260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 32026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5*n = -44, 0*n - 223 = -19*z - 3*n + 17 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1218329 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-160)*10\/(-5)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 12:58 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21224 + -3?\nAnswer: -21232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.58 in -11, 2, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 8:26 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqq when three letters picked without replacement from {t: 15, q: 3}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32.68 - 32. Let s = -0.680057 + x. What is s rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 51 - 93. Let y = k - -51. Suppose 0 = -2*d - 2*d + 176. What is the remainder when d is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and 219.\nAnswer: 28.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 10:17 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*k**3*v**3 - 16*k**3*v - k*v**3 - 5*k*v**2 - 112*k*v wrt k.\nAnswer: 60*k*v**3 - 96*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 17*g + 10. Let z be (6\/8)\/(1\/12). Let w be k(z). Is -2 + 0 - (w + -67) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 11*l - 1\/42*l**4 + 0 + 0*l**2 + 2\/21*l**3. Solve f(r) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.58 take away 61.39?\nAnswer: -94.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 228192506 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - g**2 - g. Let s(w) be the first derivative of -2*w**3\/3 - 27. What is d(s(p))?\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 15*a - 2. Let t(s) = 48*s**2. Calculate t(h(r)).\nAnswer: 10800*r**2 - 2880*r + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 337 (base 13) to base 12\nAnswer: 3a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.54 + 0.04. Let m = 0.03 - 0.53. Let h = m - k. Is 1\/4 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49945289 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*s = -0*i + 46, 4*i = s + 54. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/((-144)\/10)*-10*(-988)\/95?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 4053*l**3 + 4050*l**2 + 8104*l.\nAnswer: l*(l - 4052)*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from yygiggygiifffggj?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 7:13 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9969*y - 463*y**5 - 9969*y)*(-10 + 9 - 12).\nAnswer: 6019*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 37, 102, 205, 352, 549?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*n - 26. Let d = -25 + n. Which is smaller: -3\/32 or d?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240.586cm in micrometers?\nAnswer: 2405860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-300)\/175)\/(3\/(-189)) is divided by 42.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-1 - 8) + 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*i - 437999 = 3*i, 0 = q + 4*i - 438009. Suppose -k = z - q, -195039 = -k - 5*z + 242966. What is k rounded to the nearest 10000?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138713 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 5*h + 3. Let v be j(2). Let u(r) = -r - 1. Suppose w - 32 = 5*w. Let s(o) = -160 + 3*o + 78 + 84. Calculate v*s(p) + w*u(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24835 + -24832. Which is the nearest to 0.1? (a) -0.2 (b) 0.09 (c) w (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 25*y**2 - 744*y + 32. Let s be g(30). Calculate the greatest common divisor of s and 2014.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 255 and 495?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = m - 5, 13 = 5*z - 2*m - 3. Solve 0 = -z*j - j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b + 2 + 7*b - 1. Let w(p) = 9*p - 11. Let d = 197 + -194. Let z be (-60)\/(-3) + (5 - d). Give z*y(u) + 2*w(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1517504182 to the nearest one million.\nAnswer: 1518000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-2\/43)\/g)*g\/(g**(3\/13)\/g))**(-36) assuming g is positive.\nAnswer: g**(-56664\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/75 in -2\/3, -0.05, -1, 0.3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.5979 centuries in decades?\nAnswer: 195.979","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-10) + (-3718)\/110. Let k = s - -38. Solve -2*i = -5*d - 5*i + 10, -2 = -d + k*i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95641*-2521\nAnswer: 241110961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - ((-13 + 12 - 44) + 26)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*2.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 5*w**2 - 4*w. Let i(b) be the third derivative of b**4\/24 + 5*b**3\/3 + 7*b**2. Let l be i(-7). Is 4 a factor of k(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + f + 0*f)*(0 + f**2 + 0) + (32*f - 17*f + 15*f)*(0*f + 0*f + f**2) as j*f**2 + a*f**3 + w*f + g and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 3*n. Let u(w) = 2*w**2 - 2*w. Let a(h) = -3*r(h) + 4*u(h). Let v be a(1). Find the first derivative of 2*g**4 + g**4 - 2 - v + g**4 wrt g.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 200*y + 1163. Let o be h(-6). Is 1\/123 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 379738, 380121, 380504, 380887?\n\"Answer: 383*g + 379355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.23 - -0.3. Let w = l - -0.43. Sort w, -1, 0.2.\nAnswer: -1, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206 - 241 - n + 447.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9546 and 21887.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, k: 5, r: 3}. Give prob of picking 3 r.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 3*32\/(-18). Let d = 4 - f. Let h = 4.03 - 0.03. What is the closest to d in 2, h, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66150 divided by 11025.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -20*n + 33. Let i be t(2). Is (-2354)\/i + 2 + 112\/(-49) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008973 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 90121.68km?\nAnswer: 90121680000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 5*u - 16 - 15*u + 34.\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -129, -194?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + 3734 - 32328 = 0. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = -5*v - 0*v + 73, v - r = 4*v - 9*r + 5 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 - -70. Suppose 5*l = -2*m - x, -2*m - 3*m = l + 10. Suppose 5*r - 3*g = 7*r - 397, -r - 4*g + 211 = l. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -18*m - 15. Let s be b(-6). Suppose 0 = -h + 2*o - o + 21, 0 = 5*h + o - s. Let w = -174 + 248. Calculate the remainder when w is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by (27 - 6)*(72\/(-9) - -9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -32, -89 in decreasing order.\nAnswer: -28, -32, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -52 + 2*x - 67 + 119 - 4*x - 3019*x**2 as s + f*x**2 + u*x and give f.\nAnswer: -3019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 168 = -16*x. Calculate the remainder when x is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 11 = -s, -5*s + 2*z - 7 = -4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + 10 - -11) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 644641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*k - 451*k - 1573 = -201*k + 501 for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15980 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 611\/(-611)*2*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59 + 205 - 69 - 3*m**3 - 2*m - 75 to f*m**2 + q + l*m + n*m**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/10 (b) 1\/5 (c) -35 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*q = -x + 90, 2*q - 78 = -4*x. Let z be ((-3)\/7)\/((-2 - 1)\/x). Put 0, 2, z, -4 in ascending order.\nAnswer: -4, 0, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7318458 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 2*q**2 - q - 27 - 8*q.\nAnswer: 2*q**2 - 8*q - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3192 rounded to one decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 172881685?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36591, 72946, 109301, 145656?\n\"Answer: 36355*x + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 17*b = 1224. Calculate the remainder when b is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*y**3 - 3 - 3*y + 1\/3*y**2 = 0 for y.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-5))\/((-806)\/12090).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1118745483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 23, 31\/2?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 39. Let z = -72 - -72. Let t be u(z). Suppose -y + 2*a = -23 - t, 0 = 4*a. What are the prime factors of y?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from {h: 3, l: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -r - 7. Let m be 3*(r\/2 + 3). Suppose 43 = b + 5*z, 0 = 2*b - m*b + 3*z + 35. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 - 46. Suppose 0 = 5*m - q - 3. What is the common denominator of -25\/8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r = 0. Suppose 3*c - 57 - 21 = r. Let f = c + 27. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 17*z + 31. What is b(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 135*d**2*w**2 + 11*d**2 + 290*d*w**4 + 3421*d wrt w?\nAnswer: 270*d**2*w + 1160*d*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17\/10 + 1\/5. Let a = -1 - 0. What is the third biggest value in a, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 2:43 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 28 = 32. Let l = -2273\/149 - -3\/596. Let w = h + l. What is the nearest to -0.1 in 1, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -5*b + 30, 6*q - 5*b = -7*b + 38 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 7*i + 3. Let n be f(9). Which is the fourth biggest value? (a) -1 (b) 0.3 (c) n (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 916 by -228.\nAnswer: -229\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 17*p + 31. Give t(-10).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3*(1\/(-1))\/((-6)\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*j**3 + 38*j**3 - 132*j**3 + 41*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2901512?\nAnswer: 2, 79, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 43) + 55 - (-1 + -15).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2740 = 5*a - 6*c + 8*c, a - 4*c - 526 = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i**(-8)\/i)*i)\/((i*i**(-21)\/i)\/i*i))**(6\/31) assuming i is positive.\nAnswer: i**(192\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c + 5*u = 22, 2*c - 23 = -3*u. Suppose -105 = -5*b - 80. Which is smaller: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127430378 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/(-8))\/(2\/(-24)). Let d = z - -58. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/96965213?\nAnswer: 2\/96965213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-5) + 3)\/(-1). Suppose l = 4*j - 70 - 110. What is the greatest common factor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -21*z. Suppose 11*f + 14 = 18*f. Let c(s) = -189*s + 189*s + f*s**2. Determine o(c(p)).\nAnswer: -42*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20031, 20910, 21787, 22662, 23535?\nAnswer: 24406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121198951.\nAnswer: 3259, 37189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, j: 2, o: 2, w: 9, q: 5}. Give prob of sequence wqqj.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -32, -4, 746, 12.\nAnswer: -32, -4, 6, 12, 746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 11) to base 7.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -6. Suppose -3*h = -4*z - 6*h + 244, 2*z = g*h + 122. Let w = z - 17. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + -7 + (0\/(-3))\/(-2). Let r be (-52)\/(-60) + i\/(-15). What is the greatest common divisor of r and 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1848 = -4*x - 7*x. Calculate the highest common divisor of 636 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.5, -33, 1, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - d**2 + d + 3*d**2)*(0*d + 4*d - 2*d).\nAnswer: 2*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 17*s - 6. Suppose 16*u - 20*u = -2*n, -26 = -4*n - 5*u. Determine q(n).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 10:49 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w + 9*w**2 - 10*w + w**3 + 18*w - 2. Let c = -9 - -1. List the prime factors of l(c).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**4\/12 + 2*a**3\/3 - 3*a**2\/2 + 8*a. Let t be v(-9). Let p = 73 - t. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(0 + -2 + 1). Suppose 0*a = -3*a + y. Suppose -4*x + a*i = -16, x - 5*i = -x + 8. Sort -1, x, 2 in descending order.\nAnswer: x, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + sqrt(2057) + 1 - (sqrt(2057) + 0)*-5).\nAnswer: -396*sqrt(17) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3\/4, -3, -54 in descending order.\nAnswer: 5, -3\/4, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1085*k - 489*k = -288*k - 33436 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*f**4 - 1\/2*f**3 + 1\/2*f**5 + 0*f - 1\/2*f**2 + 0 = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.927 - -0.073. What is the nearest to 1 in -3, -4\/7, o?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26486 and 8894622.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*z - 1 = 0, -2*z + 7*z + 8 = -q. Suppose 17*g - 4498 = -4413. Sort 4, g, q.\nAnswer: q, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/(-36))\/(120\/32). Which is the biggest value? (a) m (b) -2\/17 (c) 2\/3 (d) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2\/4 - 8*s + 33\/4 = 0?\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 962, 1923, 2884, 3845, 4806?\n\"Answer: 961*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16083635, 32167266, 48250897?\nAnswer: 64334528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-14)*f)**(3\/23)\/(((f\/((f**(-2\/7)*f)\/f))\/f)\/f)**(-33))**(-18) assuming f is positive.\nAnswer: f**(73224\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 77986232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 488*c + 2946. Calculate d(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 86654, 86537, 86342, 86069, 85718, 85289?\n\"Answer: -39*l**2 + 86693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40960\/840 + -49 - (-4)\/(84\/(-9)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/(-1)*(-8)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p + 3. Suppose -8*s = -50 + 10. Suppose -13*i + 24 = -s*i. Give o(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by 3.\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -2048691\/8 and -256085 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-44)\/(-11)*(-5)\/4. Let u be 1*p\/10*-10. Suppose 0 = -2*f - u*f + 21. Calculate the remainder when f is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**7\/840 + 7*m**6\/180 + m**5\/2 + 3*m**4 + 77*m**3\/6 + 2*m**2 + 108. Let f(n) be the first derivative of g(n). Factor f(j).\nAnswer: (j + 2)*(j + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q + 2. Let g be m(1). Let v be 0\/(-2) + (g - (3 + 1)). Suppose -3*o = o - 5*z - 9, v*z = o + 6. Solve -o*h = -8*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17874 is divided by 397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*g + 44*g - 215*g + 47*g + 39*g + 66*g.\nAnswer: 27*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -91626 and 593210635?\nAnswer: 593302261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*n + 800 - 796, -6 = 2*o - 3*n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7779 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 691 (base 15) to base 8.\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b - 10*b**2 + b**3 + 0*b + 2*b. Let l be v(10). Suppose l = -7*a - 19 + 229. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-90)\/(-3)*((-74)\/(-18) + -4). Suppose 3*o = -0*o + 18. Suppose -w = -1 + o. What is the third biggest value in x, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(77)*2 + sqrt(77))*-4)\/(sqrt(1100)*-2*4).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -34 (b) -1 (c) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13482?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 49. Let i(o) = -11*o + 5*o + x*o + 6*o. Let q(z) = -20*z. What is q(i(t))?\nAnswer: -80*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 405.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**(-49)\/(p\/(p\/p**(-2\/15))*p*p**(1\/9)*p))\/(p*p**(-8)*p\/p**(-6)*(p\/p**0)\/(p\/(p*p**(-1\/6)))) assuming p is positive.\nAnswer: p**(-4663\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -5*k**3\/6 + 6*k**2 + 7*k. What is the derivative of v(a) wrt a?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1077, -1834, -2577, -3306?\nAnswer: -4021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*i**2 - 2*a**2*i - 25*a**2 + 108*a*i + a - 53026*i**2 wrt i.\nAnswer: 2*a**2 - 106052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -231 + 445. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4762800*l + 9 + 548704*l - 6.\nAnswer: -4214096*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1913246?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -17*t + 54. Let o be h(3). Differentiate -106 + 266*a**4 - 136*a**4 - 109*a**4 + a**o with respect to a.\nAnswer: 84*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 11*g - 14. Let u(i) = 16*i - 20. Let p(k) = -8*s(k) + 5*u(k). Is 19 a factor of p(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, l: 4, o: 3, z: 1, u: 3, a: 6}. What is prob of picking 1 l and 2 a?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(2058)\/sqrt(7)).\nAnswer: sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 96440*q**2 - q. Let b be w(1). Let m = b + 54373. Suppose 4*c + g + m + 89186 = 0, 4*g = -3*c - 179992. Round c to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -7*y**4\/4 + 2*y**3\/3 + y**2 + y + 5. Let m be g(-1). Let x = m + -6. Solve 10 = -x*w - 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11379.764397 - -13.\nAnswer: 11392.764397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 12*m**2 + 428*m + 1977*m - 17*m**2 = 0?\nAnswer: 0, 481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155 and 6634?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213250740.\nAnswer: 2, 3, 5, 3554179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273710 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -4 - (-12 - -4). Let -4 + 5*v**2 - 3*v**2 - t*v - v**3 + 7*v**3 + 2*v**4 = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 64, 10 in descending order.\nAnswer: 64, 10, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 92, 316, 754, 1478?\n\"Answer: 12*c**3 - c**2 + c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 305673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {k: 7, h: 12, p: 1}.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-5))\/(2\/(-90)). Find the third derivative of 11*f**3 + 13*f**3 - l*f**3 + 3*f**2 wrt f.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 + j - 1. Let u(f) = 2*f + 11. Let l be u(-5). What is the units digit of z(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 43. Suppose a = 3*i - 0*p - 2*p - 98, p + 168 = 5*i. Let s(w) = -w**3 + w + 3. Let z(v) = 6*v**3 - 6*v - 17. Give i*s(g) + 6*z(g).\nAnswer: 2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 - 13*a**2 - 35*a + 38. Let n(f) = f**3 + 4*f**2 + 12*f - 13. Let l(o) = -11*n(o) - 4*s(o). Let v be l(3). Solve 0 = -v*i + i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 1568.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-153))\/((-13)\/65).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 272854.6ug?\nAnswer: 0.2728546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0112799mm in micrometers?\nAnswer: 11.2799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -5. List the prime factors of -1 + 4\/(i\/(-19)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3344933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -327 - -335.4. Let t = z + -12.4. Let i(n) = -n + 4. Let y be i(7). What is the biggest value in -5, y, -8, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 - -21.775.\nAnswer: 98.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 4 = 10*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8899, 18201, 27505, 36811, 46119, 55429?\nAnswer: 64741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/7 + 19*z\/7 + 34\/7.\nAnswer: (z + 2)*(z + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150724 is divided by 73887.\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 75413.51 kilometers?\nAnswer: 75413510000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3, -1\/19, 1\/4, -3\/19, -2, -40?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/75 in 4, 5, 139, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2826395?\nAnswer: 5, 11, 13, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.10823*102\nAnswer: -11.03946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.9 plus -142282.95619?\nAnswer: -142273.05619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18103 (base 12) in base 11?\nAnswer: 24092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210885, 421735, 632585, 843435?\nAnswer: 1054285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**2 - 8005*k + 178530 = 0. Calculate k.\nAnswer: -1623, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 341912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 431*-298.\nAnswer: -128438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53\/50 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 49) + 12 - -22.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7277*m - 158. Is a(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -8\/686339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 - 4*1\/4. Suppose u*v - 5 = 7*v. Let o(w) = -1 - v - 2 + 4 + 2*w. What is o(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + u**2 - 1)*(-2 + 2 - 2*u**2) - u**4 + 0*u**4 + 2*u**4 + 2*u - u**4 - 2*u)*((2 + 0 - 4)*(-2 - 2 + 5) + 3 + 3 - 5 - 16 + 76 + 23).\nAnswer: -164*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 6 = 4. Let j be -2*(-6)\/8 + y. Let n(i) = i + 2. Let t be n(0). Which is the second smallest value? (a) -1 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3*(-4 - 0 - -4). Suppose w = -2*k - 2*i + 8, 2*i + 8 = 2*k + 6*i. Solve 0 = -3*s + k*s + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 7 = l, 4*u = -5*l - 1 - 1. Suppose n - 204 = -l*n - 3*f, 3*f - 340 = -5*n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 + 13*v + 8. Let s be u(-6). Let w be s*4\/(24\/(-9)). Let c be (1 - 3)*(w + 2). Solve 3 = -c*z - 3, -3*f = -4*z - 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + 4)*-3)**2 + 3*sqrt(204)\/(-5*sqrt(12)).\nAnswer: 2877*sqrt(17)\/5 + 9936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*-2*(-2)\/4. Let c be -8 - (-27)\/(162\/60). Suppose 5*x + c = 5*q - 8, -x + a = 0. Does 12 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1216\/4711?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2863 (base 15) to base 16.\nAnswer: 21c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/35*(-5)\/(-6))\/(8\/(-168))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**4\/12 + 2*s**3\/3 - 3*s**2\/2 + 81*s. Suppose 2*u - 1 = 3. What is o(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83797013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 9:33 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*d*i**2*m + 2*d*i**2 + 9*d*m + d + 3*i*m - 6*m wrt i.\nAnswer: 50*d*i*m + 4*d*i + 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 = -0. Let q be (-112)\/(-10) + (-4)\/20. Let a = q + -16. Let j(b) = -2*b + 4. Let h(z) = -1. Determine a*h(f) + p*j(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 771 - 274. What is the highest common factor of 14 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 6*u - 82. Suppose 0 = -4*x - 0*x + u, 3*k = 2*x + 12. Solve 0 = -3*p + 3*s + k, 0*p - s = 4*p - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 31*g - 11. Suppose -20 = -78*o + 73*o. Let b be k(o). Suppose -b = -5*u - 3*x, 2*u + 0*x = -2*x + 42. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*(-12)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87497.\nAnswer: 59, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 2*b = -162, -9*h + 4*h + 4*b + 8 - 89 = -6*h for h.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a kilogram in grams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:49 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 304553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 380218 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19.6 or 0.1?\nAnswer: 19.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from fleamea.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -2318.\nAnswer: -2319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -41.356 and 0.2.\nAnswer: -41.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9)\/(q*q**11*q)*(q**8*q)\/(q\/q**4))**(-14) assuming q is positive.\nAnswer: q**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6119*h**4 + 6141*h wrt h?\nAnswer: -73428*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23024531 (base 6) in base 4?\nAnswer: -2223300013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -267*h**2 + 2*h*n - 6*n - 39 wrt h?\nAnswer: -534*h + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*z**4 - 8*z - 17*z**4 + 4*z**4 + 2*z wrt z?\nAnswer: -156*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 12*m + 4. Let q be b(12). Suppose -q*i + 11 = -0*p + p, -3*p - 3 = 0. Factor 3 + 2*r**3 - r**2 - 3*r**i - 2*r**2 + r.\nAnswer: -(r - 1)*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -214, -858, -1932, -3436?\n\"Answer: -215*o**2 + o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-30))\/((-5)\/((-250)\/20)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.02073511 take away -654?\nAnswer: 784.02073511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(2*sqrt(99)) - (5 + (-3 + sqrt(13) + 0)**2).\nAnswer: -27 + 37*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.28 + -3.27. Let m = o + -15.01. Sort 3, 2, m in decreasing order.\nAnswer: 3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 258758214?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18452631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4626 and 16434?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121*g**5 + 61*g**3 + 259*g**2 + 248 wrt g.\nAnswer: 7260*g**2 + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 74\/(-2072) + (-366795)\/3276\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((136\/51)\/8)\/(2\/(-8))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4375 divided by 125\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, a: 6}. Give prob of picking 2 b.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 7*k - 502. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 859589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 4*p + 3 + (-p + 4*p + 0*p)*(-2 + 7 - 2).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53.107 + -30.114. Let x = -0.007 - p. Is x bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27360\/4275)\/(8\/10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22484, -44947, -67390, -89807, -112192?\nAnswer: -134539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11 - 7047\/135)\/((-2)\/5). Does c = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 2:46 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + r - 1)*(-3 + 0 + 4) + (6 - 6 - 4)*(-40 + 22 + 19 - 238*r).\nAnswer: 953*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 47886489 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0409 - -0.2?\nAnswer: 0.1591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19074, 80604, 184590, 331032?\n\"Answer: 21228*w**2 - 2154*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -852 divided by 9?\nAnswer: -284\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = 3*u - 6*u. Let i be ((-28)\/u)\/((-2)\/9). Suppose -n = i - 10. Calculate the highest common factor of 16 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n - 31. What is the units digit of z(-26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9*d + 2*d = 0. Put 1, -2, d in decreasing order.\nAnswer: 1, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354633.\nAnswer: 3, 118211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**5 - 129*x**4 - 1341*x**3 - 5415*x**2 - 8700*x - 4500 = 0.\nAnswer: -30, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -634 = 4*i + q, -112 = 3*i + 5*q + 372. Let l = 171 + i. Calculate the remainder when 137 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5463 + 2*x - 5463. Let w(i) = 232*i**2. Calculate q(w(c)).\nAnswer: 464*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4 = 4*f. What is the greatest common divisor of f and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 684.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 28, 51, 60, 43?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (10\/(-20))\/(1\/(-22))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3852.327 litres in millilitres?\nAnswer: 3852327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v + 2. Let z(p) be the second derivative of -p**3\/3 + 3*p**2\/2 + 96*p. Determine -3*c(r) + 4*z(r).\nAnswer: -2*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 + 2)*(22*w**3 + 6*w**3 + 0*w**3)*(-3 + 4 + 0) to the form y*w**2 + s*w + f + b*w**3 and give b.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929303?\nAnswer: 929303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38332 - 670?\nAnswer: 37662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72032644 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.044 - 2.044. Sort -1, 5, 3, v.\nAnswer: v, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j**2 - 1 + j**2 + 1.\nAnswer: -26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4885 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6)*18\/4. Suppose s*f - f = 6. Solve 8*k + 36\/5*k**2 + 16\/5 + 2\/5*k**4 + 14\/5*k**f = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -13 + (-1 - (-2 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - j + 5*j + 411595 = -5*j + 411590, -11*j - 36 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -2) + (20 - 14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 4*z + 15. Let w be x(6). Suppose -2*g = m + w*g + 20, 2*g - 5 = -3*m. Calculate the greatest common divisor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*h + 1. Let r = -130 - -90. Let i = r - -41. Sort h, i, 2 in decreasing order.\nAnswer: 2, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 310 = -10*x, -2*k - 2*x = -917179 + 917117 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/8 of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50649.\nAnswer: 3, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.029 (b) 5 (c) 4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 124304, 248609, 372914, 497219, 621524?\n\"Answer: 124305*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/9 + 24*s**2 + 24920*s\/9 = 0 for s.\nAnswer: -70, 0, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57655405 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -1122?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*z + 48 = 0, -2*j + 4*z + 4 = -0. Let x(u) = u + 19 + j - 9. What is the tens digit of x(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -275*u**3 + 9*u**2 + 43*u + 107. Is d(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (608\/(-380))\/((-2)\/(-10))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1640)\/(-15))\/((-3)\/(-9)). Let y = h - 64. What is the highest common factor of y and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/8883 and -28\/31779.\nAnswer: 10455291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -11\/542, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12147 and 15590.\nAnswer: 27737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 27, 65, 123, 207, 323?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -3, -0.7, -1\/5 in ascending order.\nAnswer: -54, -3, -0.7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 114, 119, 124?\n\"Answer: 5*a + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11524 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpsoffffpgpff. Give prob of sequence gs.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*l + 3 = 0, 9*x = 5*x + 5*l + 5. Solve -12 = i + 4*f + 1, -4*i - 2*f - 10 = x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -5*i + 45, 0 = 3*i - 15*y + 10*y - 27 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -145729*q. Let u(r) = -3*r - 41. Determine h(u(c)).\nAnswer: 437187*c + 5974889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901.\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 619 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124925319*l*u**3*y**2 - l*u*y + 63*u**3*y - 624743*u**2*y**2 with respect to l.\nAnswer: -124925319*u**3*y**2 - u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24886 - 24876. Solve -s*w - m + 9 = -8*w, -5 = -m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 + 259*b**3 + 1017*b**3 - 214*b + 216*b - 104*b**3 to the form t + n*b + x*b**3 + p*b**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*o + 31*o + 17*o)*(13 - 11 + 44).\nAnswer: 2852*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -73928, -147852, -221776, -295700, -369624?\n\"Answer: -73924*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2463117, 2463072, 2463023, 2462970?\nAnswer: 2462913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s + 6. Let j be i(0). Let x(t) = -t + 7. Let z be x(6). Differentiate z - 3 - j*w**3 + 0*w + 0*w with respect to w.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 + 52*f - 78. What is the lowest common multiple of 7 and t(-19)?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182469.1795 plus -0.9?\nAnswer: -182470.0795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**5\/20 + i**4\/3 - i**3\/2 - 23*i**2\/2 - i - 138. What is t(0)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3\/3 + 19*w**2\/3 - 76*w\/3 - 220\/3 = 0. What is w?\nAnswer: -22, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*r)*(-4*r + 6*r + 5*r)*(r - 7*r + 0*r)*(-3 + 2 + 0).\nAnswer: 84*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 3)\/21 - 720\/13860. Which is the third smallest value? (a) -1 (b) 0.1 (c) n (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -61858, 3, 347?\nAnswer: -61858","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4296 + 2915. Let h = l + 1381.0703. Let w = -0.07 + h. What is w rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.01118454 rounded to 2 decimal places?\nAnswer: -17.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -5 (b) -0.046 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 7*a**2 + 65*a - 333. Give z(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*p**2 + 30*p**2 + 11*p**2)*((-2 + 7 + 5)*(-4 + 2*p + 4) - 6*p - 4*p + 3*p + (1 + 1 - 4)*(-3 + 3 - 3*p)) as j*p**2 + g*p + l + y*p**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242512 is divided by 249.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -1440, 31 in decreasing order.\nAnswer: 48, 31, -1440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123\/7 - 1\/7*m**2 + 122\/7*m = 0. Calculate m.\nAnswer: -1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89595225 a multiple of 491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 144509*a**3 + 183*a**2 + 183*a - 183. Let x(v) = -1588*v**3 - 2*v**2 - 2*v + 2. Determine -2*p(m) - 183*x(m).\nAnswer: 1586*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3800 + 4*g - 3750 - 3*g + 7550.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 + -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o = 30*o - 2. Let b(m) = m**2 - 2*m**o + 2*m**2 + 1439*m - 1 - 1440*m + m**3. Calculate b(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**5\/10 - 7*t**4\/12 - t**3\/6 + t**2\/2 - 9*t. Is y(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 1190. Suppose 63 + d = 2*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390375 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 525*q**3 + 25*q**2.\nAnswer: 3150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 1 + (-4 + 4 - 5130). What is k rounded to the nearest 100?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -153, -210, -289, -390, -513, -658, -825?\n\"Answer: -11*f**2 - 24*f - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 - (-10 - -7 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + l + 260 = p, 3*p + 2*l = 143. What is the remainder when p is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 35 = -3. Suppose -18 - a = -2*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -51.01.\nAnswer: -51.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1*1\/(-7))\/((-13603)\/1561)*-4\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrnozzzzzzzonzj. What is prob of picking 1 z and 3 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - 3*x**3 + x**3)*(1 - 1 - x + (x + 1 - 1)*(0 + 0 + 2) + 2*x - 1 + 1)*(146 - 714 - 68).\nAnswer: 5724*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001011001111101 (base 2) in base 9?\nAnswer: 117714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikdijijkiddidiii. Give prob of picking 1 d and 2 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48420 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*z + 22, 6*n + 2*z - 14 = 3*n. Let m = 84 + -67. Suppose 0 = -4*f + 4*b + 36, -5*f + 0 = 2*b - m. Solve -i = -n*l - 10 + 4, -20 = f*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35831227?\nAnswer: 35831227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(672)*-1 + sqrt(672) + sqrt(42))\/((sqrt(84)\/sqrt(2))\/sqrt(7)) + 2)**2.\nAnswer: -2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/10)\/(14\/(-840)*8))\/1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 11 = 5*f, -b + 2*b - 2*f = -5. Let h(p) = 2 - b - 2*p - 5 - 3. Calculate h(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-6)\/(-9) + -1). Suppose 13632 = 5*d - 2*k - k, 5*d + f*k = 13638. Let o = d + -1107. What is o rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 135 = -20. Let j = w + 40. Suppose 5*k + 3*u = 371, 2*u = -j + 3. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - 5*q + 3*q + (-16 - 43 - 71)*(0*q - 4*q + 3*q).\nAnswer: 128*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116 + -139.7. Let u = l + 23.69978. What is u rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tat when three letters picked without replacement from lalrtrg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g. Let w be p(2). Suppose 8*r = 10*r - w. Suppose r*o - 60 = -m, 0 = 3*m - m. Calculate the remainder when 58 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8 - i + 5*i**2 - 4*i - 6*i**2 + 2*i**2. Let j be w(4). Is 6 a factor of j - -3 - (-1 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -651, -590, -525, -456?\n\"Answer: 2*j**2 + 55*j - 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -12536.5.\nAnswer: -12537.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.999992 + -13. What is p rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3039.\nAnswer: 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s - 6*s - 66 = -4*s. Let l = -2\/167 - -706\/3173. Which is the third biggest value? (a) l (b) 3 (c) s (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2195, -17700, -59791, -141764, -276915, -478540, -759935, -1134396?\n\"Answer: -2216*t**3 + 3*t**2 - 2*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 5338567.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 244?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15226467 - 15226466.92799969. Let k = 0.072 - i. What is k rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 1, -15, -7, -2, 0 in descending order.\nAnswer: 1, 0, -2, -7, -13, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -204 + 197 - (5 - -3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1764.1 + 1764. Which is the nearest to 2? (a) 2\/19 (b) 4 (c) i (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307481127?\nAnswer: 4139, 315893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + m**2 + 52*m + 26. What are the prime factors of d(-13)?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157 - 142 - 5785\/390\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in decades?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 11*z - 11. Calculate b(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.1 and -287776752203.\nAnswer: -287776752199.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -153*n + 147*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**8\/5040 - q**6\/120 + q**5\/30 - 4*q**2. Let i(l) be the third derivative of f(l). What is the derivative of i(p) wrt p?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z - 2*c + 16, z + 2 = 4*c. Does 13 divide (-20)\/(-2) - (z - -8 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 35*f**2 - 6*f + 39. Determine a(35).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 553, 1036, 1507, 1960, 2389, 2788, 3151, 3472?\n\"Answer: -v**3 + 490*v + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -291711 + -12359136.\nAnswer: -12650847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10\/10*(-1325)\/(-53)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-2 + 2)) + -470 + 459.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124998\/13 <= -896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**2 + 576240*h - 576235 = 0. What is h?\nAnswer: 1, 115247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -83 + 101. Solve 2*j + q + 1 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15620985?\nAnswer: 3, 5, 251, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.013, -4\/25, -7?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -220*q**4*s + 937*q**4 + q**3*s + 6430808*q**2 + s wrt q?\nAnswer: -5280*q*s + 22488*q + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 6*m + 83. Let k be 20\/30 + -2 + 19\/m. Solve -3*y = 4*z + 4, k*z + 2*y - 3*y + 5 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 89081766 or 89081767?\nAnswer: 89081767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2. Let a be z(-1). Let c be (-10*(3 - a))\/(-2). Solve 6*b = c*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 31*g = -108 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-9))\/(50\/(-45))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 - 1 + 105362*h - 105360*h + h**2 + 15*h**2 + (2*h**2 - h**2 + h**2)*(5*h**3 + 0*h**3 - h**3).\nAnswer: 6*h**5 + 16*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**3 + b**2 - b + 1. Let r be (-8)\/16 - (-5)\/2. Is v(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13332, -52002, -116448, -206664, -322644?\nAnswer: -464382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10472 + -3607. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 6*a + 12 = -13*x, 0 = -4*x - 3*a + 30 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2\/11 - 2100*h\/11 - 61200\/11 = 0.\nAnswer: -1020, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nineteen quarters of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k - 7. Let v be u(6). Suppose -5*i + 2*c = 56, -4*i - 5*c - 9 - 16 = 0. Let m = v + i. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 63449349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 903652?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-25)*3 + (-132)\/30 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2408 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: Four letters picked without replacement from {w: 1, z: 1, a: 2, e: 6, v: 6, g: 2}. What is prob of picking 1 z, 2 e, and 1 v?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.02963931 - 0.6\nAnswer: -0.62963931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10238183 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -369192?\nAnswer: -369191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/30*(1454\/140 + -1). Let w = -9481\/850 - -333\/34. Let o = w + l. Is o at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1248223\/552 - 18099\/8. Find the common denominator of 7\/11 and a.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020372251 rounded to 7 dps?\nAnswer: 0.0203723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/15 + 202*g**3\/15 - 434*g**2 + 11270*g\/3 + 68600\/3.\nAnswer: -2*(g - 35)**3*(g + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20221002122010 (base 3) in base 15?\nAnswer: -4cb246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g**3 - 6*g**2 + 6*g - 12. Let v be j(-8). Let r(a) = a + 3140 - v. Let x(k) = k. Let i be (-3*25\/60)\/(1\/(-4)). Give i*r(l) - 6*x(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 9) to base 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 15*g**3 - 14*g**3 + 5 + 8 - 45*g in the form d*g**2 + b*g**3 + a*g + k and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 923?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-46*w**4 + 255*w**3 - 255*w**3) - 3*w**4 + 2*w**4 + 2*w**4 - 4*w**4 + w**4 + 5*w**4.\nAnswer: 95*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.6 and 1541.\nAnswer: -4006.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 0)\/(10\/(6 + -7))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbd when three letters picked without replacement from {d: 9, h: 4, q: 2, i: 1, b: 1}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*f + 4*f = 36, -2*y - 3*f + 21 = 0. Let d be 3*((-2)\/6 + 1). Suppose 2*k = d + y. Solve -k*b = -6 + 18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 40*f + 896. Give d(-15).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + -1)*-6 + 4)**2 - sqrt(190)\/(2*sqrt(250) + sqrt(10)).\nAnswer: -1321*sqrt(19)\/11 + 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**5*k**2 - 314*i**3*k**2 + 55*i**2*k**2 - 2*i*k**2 wrt i?\nAnswer: -60*i**2*k**2 - 1884*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duppuidxn. Give prob of sequence un.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*(k*k**(-1\/52)*k)\/k*k)\/k*k*k\/(k**(-25)\/k*k)*(k\/((k*(k\/k**(11\/3))\/k*k)\/k))**(-2\/93))**(-3\/22) assuming k is positive.\nAnswer: k**(-433817\/106392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, v: 1, l: 3, s: 2, y: 2, g: 4}. What is prob of picking 1 s, 1 l, 1 v, and 1 y?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 191*c**2 - 991*c + 41021. Calculate k(195).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118299 divided by 141.\nAnswer: -839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + m + 410 - 53, -z + 119 = -3*m. Let n be 203\/6 + (-2)\/(-12). Let d be (n\/(-10))\/(12\/(-60)). What is the highest common divisor of d and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 343 + -5?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 21*v + 10 + 1 as g + z*v and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11055 divided by 737.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = z + 4, 0 = 4*q - 3*q - 5*z - 24. Let w = 11 - 13. What is the nearest to q in w, -0.5, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 195*y - 1539. Determine z(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 57, 81, 105, 129, 153?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from ssghhhh.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-2 - (-2)\/(-1)). Let s be 2162\/376 + (-1 + (-9 - -4) - 0). What is the closest to s in -17, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 422 - 1906. Let a = m - -5567\/15. Sort 0, 2\/9, a in decreasing order.\nAnswer: 2\/9, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d*h**2*s**3 + d*h**2 + 2*d*s + 3*h**2*s**3 + 2*h**2*s**2 + 13450*s**3 + 449*s**2 - 2*s + 28 wrt s.\nAnswer: 24*d*h**2 + 18*h**2 + 80700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 41, 569206.\nAnswer: 3, 41, 569206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34.031 + -3289.\nAnswer: -3254.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j*t**3 - 4*j*t**2 - 4218*j*t + 1185833*t**3 with respect to j.\nAnswer: -t**3 - 4*t**2 - 4218*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -36*g + 15. Let s(k) = 6*k - 1. Give s(m(n)).\nAnswer: -216*n + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-9)*-8*24\/352*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*a**4 - 6*a**3 + 27641*a + 15130931 wrt a.\nAnswer: 44*a**3 - 18*a**2 + 27641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oopdodddppboppood. Give prob of picking 1 o, 1 p, and 1 d.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p - 12*w + 46 = -8*p - 7*w, w - 34 = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8 - 18 + p + 33. Determine j(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 1. Suppose -14*i = 14*i - 6*i. Let q = -0.9 - -0.6. Which is the nearest to -1? (a) i (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 - (7 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-889)\/(-1260) - ((-21)\/(-28) + 0\/(-2)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 12 and 5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2908 - 4)*(-3 - -1). Let p = -3920 + n. Let t = 5211 - p. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9185a0 - 5?\nAnswer: 918599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 582485.4km in meters?\nAnswer: 582485400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1 (b) 1\/290 (c) 1428 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 6\/311, 0.5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10205? (a) 0.02 (b) 1\/5 (c) 459\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43711214 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a + 14*a = -30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 295.812 to 0 dps.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 3*g + 6*g + 117. Let v(w) = -8*w + 1. Let o(c) = -7*c. Calculate g*v(t) + 3*o(t).\nAnswer: -5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -10 + 7 - -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -32\/3 (b) 2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20\/17 + -94\/51. Let y = 439 - 3953\/9. What is the smallest value in y, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50799 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4678, 9180, 13682, 18184, 22686, 27188?\nAnswer: 31690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38221 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0)*-1 + 10. Let o(l) be the second derivative of 3*l - 5\/6*l**3 + 2*l**2 + 0. Let g(d) = d - 1. Calculate y*g(z) + 2*o(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 749480 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -846 - -846. Sort y, 2, -0.2 in increasing order.\nAnswer: -0.2, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217 divided by -46\nAnswer: 217\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -51234248.1*1\nAnswer: -51234248.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -143*d - 40925 + 45072 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, 126, 431, 1036, 2043, 3554, 5671?\n\"Answer: 17*h**3 - 3*h**2 - 3*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -15\/136, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*n + 10*n - 115. Let w = 19 + n. Calculate the remainder when (-5)\/((-10)\/w) + 15 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34930779 rounded to 2 dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/5, -3, 0.55, -0.5, -5, -0.76?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - f - 1. Let g(w) = 5*w**2 - w - 4. Suppose 144*o = 128*o - 16. Give o*g(z) + 4*u(z).\nAnswer: -z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkvk when four letters picked without replacement from {v: 1, w: 11, k: 3}?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*y - 12 - 16 = 0, 0 = 3*q + 5*y - 84. Suppose -158 = -3*k - z, -3*z + 214 = 4*k - 5*z. Calculate the remainder when k is divided by q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(((-40)\/15)\/4). Suppose -u*t + 10*t = 2023. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -153 + 160. Suppose 0 = 16*x - s*x - 27. What is the remainder when ((-2)\/2)\/(2\/(-10)) is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*q**6 + 17*q**6 - 35*q - 31*q**2 + 35*q wrt q?\nAnswer: 3120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 66? (a) 1\/4 (b) -0.2 (c) 0.5 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 497 and -1988.8?\nAnswer: -988433.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3958 divided by 2.\nAnswer: -1979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 5\/4 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1471 is divided by 240?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**7\/42 + 4*i**6\/15 + 17*i**5\/20 - 17*i**4 + 30*i**3 + 1680*i. Find d, given that l(d) = 0.\nAnswer: -5, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -271 - -272. Is 20 a factor of (g - 14\/6) + (-421414)\/(-651)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49062 and 444.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8cba09 (base 14) in base 9?\nAnswer: 10018456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 15*p - 78 = 0. Solve 36*i**2 + 14*i - p*i**4 + 2*i - 28*i**4 + 2 = 0 for i.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 314 + -123. Let s = p - -20. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u = -13*u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 4*f**2 + 7*f + 17. Let o be p(-5). Solve -8 - o = -5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -13*p**2 - 1608*p + 221952. Let x(b) = 8*b**2 + 1073*b - 147968. Let m(l) = -5*u(l) - 8*x(l). What is s in m(s) = 0?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*a**4 + 2*a**3 - 18\/5*a + 6\/5*a**2 + 0.\nAnswer: 2*a*(a - 1)*(a + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 282 and 12?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(240))\/sqrt(10))\/(sqrt(768) - 3*sqrt(768)))**2.\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1197d72 (base 16) to base 10\nAnswer: 18447730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2556b91 (base 13) to base 10.\nAnswer: -11668047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 272135 = 5*q, -2*q = 6*b - 4*b + 108842. Let m = 170424 + q. Round m to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*s + 194, 8*p - 7*p + 188 = -4*s. Let r = -773 - -1113. Let h = r + p. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8503200 and 15200?\nAnswer: 161560800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10731.\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -15479 less than -15478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 1\/30*s**5 + 0*s**6 + 0*s + 0*s**7 + 5\/48*s**8 + 0*s**3 - 1\/8*s**4 + 0 - 73*s**2. What is the third derivative of g(o) wrt o?\nAnswer: 2100*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + sqrt(208) + -5 + sqrt(208) - (1 + sqrt(208)*-2)))**2 - (1 + ((-5 + (4*sqrt(208) - sqrt(208)))*-5)**2).\nAnswer: -44082 + 2872*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 8*h. Let s be v(8). Suppose -3*r + 135 - 114 = s. Solve -o + r*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 809 divide 8790594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 + 9 + 0*s**2 - 3*s**2 + 14*s**2 - 18*s**2.\nAnswer: -13*s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-12) + 1\/3. Let c(n) = 5 + p*n**2 - 2 - n**2. Let q be c(0). Solve 5*f + 3*k + k = 11, q*f - 8 = -k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 4*c - 224, -m = -71*c + 66*c - 26. What is the remainder when 688 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10736 and 1769.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzuu when four letters picked without replacement from uzuuuuuuzuuuuz?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5\/4 - 11645*l**4\/2 + 33907328*l**3 - 67791368*l**2.\nAnswer: l**2*(l - 11644)**2*(l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v. Let i(s) be the third derivative of -2*s + 0 + 7\/24*s**4 + 10\/3*s**3 - 5*s**2. Give c(i(b)).\nAnswer: -7*b - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.81*-469.\nAnswer: 1317.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*z + 17*z + 3 + 16*z to f + t*z and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5190*y**2 + 5193*y**2 - 6*y + 3*y**4 - 2*y**4 - 2*y**3 to k*y**2 + f*y**4 + c*y + i*y**3 + h and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 11, r: 3}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o\/(o*o**(-2\/17)))\/(o\/o**(-2\/3)))\/(o**(-1\/3)\/(o*o*o**8)))**(-39))**26 assuming o is positive.\nAnswer: o**(-168662\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + y**4 - 5*y**4 + (1 + 3 - 1)*(2*y**4 - 2*y**4 + 2*y**4).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**5\/2 - 315*a**4 - 35975*a**3\/2 - 298300*a**2 - 1713390*a - 1432760 = 0.\nAnswer: -17, -14, -1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-1085.6442.\nAnswer: -11942.0862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c + 95*c**2 - 15*c - 91*c**2 - 6835.\nAnswer: 4*c**2 - 6835","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.14 (b) -101 (c) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10912033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34, -23, -10, 5?\n\"Answer: l**2 + 8*l - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b - 8. Determine s(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -40938160 divided by 18736\nAnswer: -2185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1\/33, -0.1, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**2 - 3*s**2 + s**3 - 3 + 2 - 3*s**3 as f*s**3 + q*s + z + c*s**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = 4*k. Let p be (6\/(-17))\/3*(-1 - k). Which is the closest to -2? (a) -4 (b) 0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 11*n + 154. Let f be c(-19). Let g(u) = 8 - 2 + 0*u**2 - 2*u + 2*u**f - 3*u**2. Calculate g(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1125 + 1129. What is the third biggest value in 3, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1748, -3444, -5134, -6818?\nAnswer: -8496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117992383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7795?\nAnswer: 5, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (11 - (35 - 27)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 2, y: 2, r: 1}. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 16 + 94)*(-15 + 15 - i**2)*(-2 + 1 + 0)*(2*i + 5*i - 2*i).\nAnswer: 340*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -6. Is a - -47*(-1 + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 273 + -207. Let d be 6\/24 - (-37)\/(-4). Let v(r) = -3*r - 11. What is the smallest common multiple of v(d) and w?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/11, -2\/7, -1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 0.3 (c) -0.002 (d) 0.8 (e) 1969\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5 = 10, -456 = -4*a + 4*y. Let v = -152 - -181. Calculate the remainder when a is divided by v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fizjjfjjffofccjj. What is prob of sequence fjzj?\nAnswer: 5\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 5*x - 80, -167*j + 830 - 81 + 201 = -4*x + 167*j for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-50)\/(-225))\/((-5)\/45))\/(-79).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -3*p**7\/140 + 3*p**4\/8 - 3*p**3\/2 - 2*p**2 + 34. Let c(d) be the first derivative of y(d). Differentiate c(m) wrt m.\nAnswer: -54*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*y**2 + 65*y - 503*y + 76*y - 419*y - 10*y**3 + 1 wrt y.\nAnswer: -60*y + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -745\/3 - -5224\/21. Solve 0*o**2 - v*o**3 + 0*o + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4 - 4 = 2*y, -y = -r + 1. Let p be (-32)\/4*(-3)\/3. Let q = 566 + -564. Solve -r*k - q - p = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 245096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - ((sqrt(72) - (sqrt(72) + 1))*4 - sqrt(72) - sqrt(72)) - -1*(-1 + sqrt(72)))**2.\nAnswer: 144*sqrt(2) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -592 divided by -37.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6855051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 23627158*l**3 - 23627148*l**3 - l + 64.\nAnswer: 10*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (8 - 12 - (-8 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-70)*((-12)\/(-9))\/4)\/((-260)\/(-21385)).\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*10\/(-15) - -4. Is 7 a factor of 4\/f - 480\/(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 - 6) - (1 + 57 + -68).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (5 + -5 - ((-7 - -15) + -7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7356753 - -5730909764\/779. Let x = g - -21\/19. Let c = 64\/369 + x. Which is smaller: c or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 38170 in descending order.\nAnswer: 38170, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -24 - 3*u - 6*u - 314*u**2 + 315*u**2. Let g be q(-3). Suppose g = 65*p - 63*p. Solve 21 = -5*i + p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1\/5, 5.9, -1585 in ascending order.\nAnswer: -1585, 1\/5, 1\/3, 5.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 822 - 152. Suppose -4*d - g = -9*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*y + 9*y + 22150 - 18300 for y.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.002, -2.6, 1\/7, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 + 281956*m + 25375392\/5.\nAnswer: 2*(m + 18)*(m + 704872)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 1 - 2)*5. Suppose 6*y - 3*y = -15, -5*y - 21 = g. Sort q, g, 1 in decreasing order.\nAnswer: q, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (17 + 3 + 0)) + 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 62 - -3?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 16*t**2 - 38*t + 35. Let v be f(18). What is the lowest common multiple of 15 and (v + (-548)\/28)\/(9\/(-42))?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - b = -249, 0*l + 184 = 4*l - 3*b. What is the remainder when l is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3353 + -11121?\nAnswer: -14514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 34*v**2 - 21*v + 461. Give h(-35).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634172 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12988816 and 5406.\nAnswer: 38966448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 6*a**2 + 7*a - 4. Let g be y(7). Let u = g + 6. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*l - 21*l - 21*l - 17*l.\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*w + 2. Find the first derivative of -3*k + w - 1 - 6 wrt k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6031 + -3356?\nAnswer: 2342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*u**2 + 14\/3 + 3*u.\nAnswer: (u + 2)*(u + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 15*d**2 - 19. Let a(k) = -9791*k**2. Give z(a(p)).\nAnswer: 1437955215*p**4 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -183.3, -3, 8\/3 in ascending order.\nAnswer: -183.3, -3, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 + 67. Is (-370)\/(-3)*o\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -249 and -1.761.\nAnswer: 438.489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44464487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 5*t - 7. Let k(r) = -r + 1. Let m be k(-4). Let z be c(m). Let g = -7 - z. Solve -i = -g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68232408 to the power of 1\/2, to the nearest integer?\nAnswer: 8260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/15 - 2\/(-10). Let p = 4 + -3. Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = 4*h + i - 11, -2*i = -4*h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2662400*c**2 - 3*c - 15. Let k be i(-5). What is k rounded to the nearest 1000000?\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1377))*5)**2.\nAnswer: -900*sqrt(17) + 34525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4091, 15900, 35431, 62684?\n\"Answer: 3861*j**2 + 226*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 364*u - 4669. Calculate x(194).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 10864012*y - 10864016.\nAnswer: 4*(y - 1)*(y + 2716004)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - i + 3*i)*(6 - 2 - 2)*(-7 + 11 - 5).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2. Suppose -8*w = -45 + 29. Let y(t) = -w + 28*t - 2 + 4. Calculate d(y(f)).\nAnswer: -2352*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q. Let y(o) = -3*o**2 + 6*o - 2. Let j(f) = -3*u(f) - y(f). What is the units digit of j(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3339, -3257, -3127, -2949, -2723?\nAnswer: -2449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.00399 weeks to days.\nAnswer: 490.02793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-44)\/(-6) - 3)*3. Suppose -5*u - 70 = -5*z, 0*z + d = 2*z + 3*u. Calculate the remainder when 32 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + r = 34, -16*m = -15*m + 3*r + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 39*j - 74*j + 37*j. Let a(m) = 1 + 3 - 4 - 10*m. Calculate f(a(q)).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**4\/24 + 4*r**2. Calculate the remainder when g(-3) is divided by (-8)\/6*(-3)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2674*k - 2673*k = j - 10, 4*k = -2*j - 28 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2. Let a(f) = -3. Let p(z) = 3*a(z) + 5*u(z). Let w(s) = -s + 5. Suppose 333*h - 299*h = -34. What is h*w(r) + 6*p(r)?\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 3:01 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 3*q. Let v(s) = -s**2 - s. Suppose k + 4*k = 10. Suppose 2*g - k = -0. What is g*h(w) + 3*v(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 12 = -2*h + 2*j, 5*j + 3 = 2*h. Let r(p) = -p - h*p**2 - p + p**2 + 6 - p. Let y(u) = 2*u**2 + 2*u - 5. Calculate 3*r(o) + 4*y(o).\nAnswer: -o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 77.\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/((-697)\/(-697)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -17*j + 3. Let p be n(-1). Suppose 2*m + o = -p, 4*o + 0*o + 16 = 0. Let c(b) = -18*b - 12. What is the units digit of c(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73844 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2952)\/380 - -2) + 4\/10. Let h = f + 486\/133. Do h and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111044, -7, -4, 14 in decreasing order.\nAnswer: 14, -4, -7, -111044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/47940 and -107\/1428?\nAnswer: 335580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 75 (b) -15 (c) 3\/2 (d) -1 (e) 11\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((22 - 3) + -1)*2. Suppose -c + n = 3*c + 5*x, 8 = -c + 3*x. Let z(b) = b - 2. Calculate z(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 31\/2 of a meter?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w = 8, v = -5*w + 30. Suppose v = -j + 6*j. Let c = -31\/3 + 167\/15. Is c equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 + -61.9. Let t = m + 6.4. Let k = t - 15.5. Sort k, -2, 1.\nAnswer: k, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -3 - -1) + 2. Suppose 3*t = z*n - 2*t - 110, 3*t = -2*n + 34. Let i be (-1)\/((-5)\/50*1). What is the greatest common divisor of i and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5, -116, 4, -2\/25, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*a - 3*a - 82, 3*i - 90 = -3*a. Let k = i - 5. Suppose 0 = 3*l - 0*l - k. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 715.8057 litres to millilitres.\nAnswer: 715805.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*s + 4*p - 12, 6 = -2*s + 2*p. Suppose 0 = 3*m + 4*j - s*j - 49, -4 = -4*j. Let z(k) = -k + 20. Let u be z(m). Solve -3*q = -8*q - u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 3*k**2 - 11*k - 16. Suppose 5*v - 11 - 4 = -5*y, v = -4*y + 3. Give c(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(70)\/sqrt(7)) + -2.\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 15, 3*y + 4*f = -0*f + 4. Suppose 4*x - 5*x + 15 = 0. Calculate the remainder when x is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 + 138*n**2 + n**3 - 17700*n - n**3 - n**3 + 17701*n in the form c*n**3 + u*n + m + p*n**2 and give p.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i - 35 = 43 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 + 1 = -13*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0 + 10 = 0. Factor 0 + 0*j + j**3 + 1\/3*j**5 + j**4 + 1\/3*j**v.\nAnswer: j**2*(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r + 19 = 19*r. Suppose 20 + 36 = 2*h + 5*u, 2*u + 4 = 0. What is the remainder when h is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 56930 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/3 - 1162*d**2 + 8096*d + 27776\/3 = 0 for d.\nAnswer: -1, 8, 1736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -5*v**3\/3 - 3*v**2 + v - 1. Let x(j) = 1045*j - 3150*j + j**2 + 1051*j - 12*j**2 + 2 + 1041*j. Calculate 13*q(k) - 6*x(k).\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) + sqrt(104)*2)*-2 - sqrt(104) - sqrt(104)) + ((sqrt(104)*-1 - sqrt(104)) + sqrt(104))*1)\/((sqrt(432)\/sqrt(2))\/sqrt(3)) + -5.\nAnswer: -3*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -82*j + 1. Let r(n) = -n + 14. Let g(l) = 4. Let u(x) = -7*g(x) + 2*r(x). What is m(u(z))?\nAnswer: 164*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5812.813t to grams.\nAnswer: 5812813000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 976168934 to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.01913 times -4\nAnswer: -0.07652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148962067*n**4 + 4*n - 333424 wrt n?\nAnswer: 1787544804*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011 - 1000?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.2 - 7.\nAnswer: -29.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-21)\/(-182))\/(4\/((-88)\/11))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/1334 and -127\/460.\nAnswer: 13340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 7*v. Suppose 2*i = -5*b + 24, v*b - 4*b = 2*i - 20. Suppose 4*d - b = 2*d. Which is greater: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -101 in decreasing order.\nAnswer: 3, -1, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -j - 4*d, -4*d + 216 + 408 = 4*j. Calculate the highest common factor of j and 567.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f + 88 = 70 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 3*j**2 - 2*j + 7. Let v be r(-5). Let y be ((-3)\/2)\/(v\/(-4)). Let i = -6.8 + 5.8. What is the nearest to i in y, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0\/(q*(q*q**(3\/8)*q)\/q))\/(q*q**0)**37)\/((q**(2\/3)\/(q*q**(2\/9)))\/((q**(-1\/2)\/q)\/q)**(-12)) assuming q is positive.\nAnswer: q**(-635\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -13624710\/7 greater than -1946387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - i**2 + 12 + 3 + (0 + 0 + 2)*(2 + 3 - 1)*(-2*i + 6*i**2 - 12*i**2 + 8*i**2) as d + z*i**2 + a*i and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from cotcuttmcm?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a = 67. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10228 and 76344349?\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one eighths of a millisecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (128\/96)\/(14\/70)\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1143, 23, -5?\nAnswer: 1143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/9)*j\/(j\/j**3))**(-10) assuming j is positive.\nAnswer: j**(-290\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -10706 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 3 - 2 - 2. Let h be c(2). Let q be (-1)\/(-6) + (-3388)\/792 + 4. What is the second smallest value in h, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94 - -5 - -8) + 24.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291*c = -295*c. Let g(q) be the second derivative of c + 0*q**2 + 0*q**5 - 2\/9*q**3 - 1\/6*q**4 + 3*q + 1\/45*q**6. Factor g(n).\nAnswer: 2*n*(n - 2)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzq when three letters picked without replacement from qgqgqqgzqqpqpdqgqq?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*m - 4. Let k = 34 - -8. Suppose 48 = 4*v - 4*l, -l = v + 4*v - k. Calculate the remainder when v is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 + -65. Which is the nearest to v? (a) -1 (b) -6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22296 is divided by 1013?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 84*a - 756. Calculate the smallest common multiple of 112 and r(10).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o = 1. Suppose -22 - 2 = 4*h. Let m(g) = g**3 + 7*g**2 + 6*g - 1. Let k be m(h). Put 3, o, k in decreasing order.\nAnswer: 3, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2966.\nAnswer: 2, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 - -119. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 11.1. Let n(u) = -u**3 - 5*u**2 - 5*u - 14. Let l be n(-6). Let s = -154\/3 + l. What is the closest to -2 in s, -1\/4, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 31\/1246050 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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: Is 6816316 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 0*t**2 - 7*t**3 - 3*t**2 - 2*t. Let o be s(-2). Let w = o - 20. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 235 and 9.\nAnswer: 2115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t - 3. Let a be q(6). Let y(g) = 19*g - 53. What are the prime factors of y(a)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3.3, 64, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50689*q**5*x - 1428*q**3*x + q**2*x + q**2 + 2*q*x + 9302825*q + x - 1 wrt q.\nAnswer: -3041340*q**2*x - 8568*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -102214*g - 715489. Give a(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 3449 and 20695\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 12) to base 16\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 47. Calculate the smallest common multiple of 12 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1131115 to the nearest 1000.\nAnswer: -1131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(16)\/(sqrt(16)\/sqrt(2)) + 0 + -5)**2.\nAnswer: -2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i**(-1\/3))\/i*i))**(1\/4)*i**(-4)\/i*(i**(1\/3)*i)\/i*(i**(2\/5)\/i)**(4\/27)*i**2\/i**(2\/13) assuming i is positive.\nAnswer: i**(-6613\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/2 - (-3 + 5). Let j(y) = -3 + 1 - 24*y**2 + h. Let m(p) = p. Determine j(m(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y + 3. Let m be o(-2). Calculate the lowest common multiple of -1 - (m + 3 + -3) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2895 divided by -579\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4266282379 to the nearest integer?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -203*h + 23255. Give o(117).\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56665 and 64760?\nAnswer: 453320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 74*f**2 + 3568*f + 51. Calculate y(-48).\nAnswer: -717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1765966 * 0.3.\nAnswer: -529789.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from wwvwnvvv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17421\/260 - 912\/13. Let c = 46561\/20 + -2326. What is the common denominator of i and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + -6. Let t = -9 - n. Let h = 0.3 + -0.1. What is the closest to h in -3, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127055353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 126198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -764, -361, 42?\n\"Answer: 403*g - 1167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000022073 rounded to six decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 u when four letters picked without replacement from {z: 9, u: 6, e: 2}?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 59*m**2 - 6*m + 51. Let k(o) = 176*o**2 - 16*o + 136. Let x(v) = 12*k(v) - 32*y(v). Let a(l) = 17*l**2. What is x(a(w))?\nAnswer: 64736*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19218 + -3305529\/172. What is the common denominator of t and -37\/2?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*k + k = -226, 4*k = -3*t - 173. Let s = -5 - t. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -19 + 3 + 4*u - 14 + 34. Let f(o) = 863 - 863 + 3*o. Determine q(f(x)).\nAnswer: 12*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4\/5, -2\/99, 0.26 in ascending order.\nAnswer: -3, -2\/99, 0.26, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 649931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 6) to base 4.\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 10) + (2 - (1 - (-12 + 5))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 339 by -1.\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 228 + -231. Let y = -8.7 - -9. Which is the nearest to -0.1? (a) z (b) 1\/9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 0 + 38*q + 37*q**2 + 29\/3*q**3. Differentiate z(o) with respect to o.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 114442726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(405) + 1)**2.\nAnswer: -9726 + 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10004\/15 - -667. Let d(g) be the third derivative of 7*g**2 + 32\/3*g**3 + 0*g + 0 - 4\/3*g**4 + w*g**5. Factor d(p).\nAnswer: 4*(p - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4020120034 + 0?\nAnswer: -4020120034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 400*q**2*s*t - 7*q**2*s + 56898*q**2*t**3 - 2*s*t**3 - 5*t**3 wrt s?\nAnswer: 400*q**2*t - 7*q**2 - 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*u**4\/3 + 44*u**3 + 85*u**2\/3 - 44*u + 12 = 0 for u.\nAnswer: -1, 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2267811 rounded to three dps?\nAnswer: 0.227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, d: 2, w: 2, r: 3, f: 1}. Give prob of sequence dwf.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118876 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 45*n - 48*n + 2*n + 1. Let y(o) = 15*o + 2. Let d be y(-2). Let p(f) = -12*f + 14. Determine d*z(g) + 2*p(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 11:54 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1\/(-2))\/(5\/(-4)) - (-1250571)\/1085 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0*j + 0*j**5 - 1\/60*j**6 + 1\/12*j**4 + 1\/6*j**3 + 4*j**2 + 0 - 1\/210*j**7. Find h such that i(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (324 - 342) + (-2 - -40)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -0.04 (c) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/1725 and ((-120)\/630)\/((-100)\/95).\nAnswer: 12075","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 384*t + 25 + 1071*t - 25 to i + l*t and give l.\nAnswer: 1455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4140 divided by -1380\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45*s**3*y**2 - 83*s**3*y + 1069165*s**3 - 2*s + 1141*y**2 + 3 wrt y?\nAnswer: 90*s**3*y - 83*s**3 + 2282*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y - 2*y + 4*y)*(-1 + 0 + 2)*(2 - 2 + 2*y**2)*(31*y**2 + 12*y**2 - 9*y**2).\nAnswer: -204*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*r + 20 = -107*r + 47*r + 4*h, 9 = 12*r - 5*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101972 and 7208?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*f**3*o**3*r**2 + 4*f**3*r**3 + f**3*r + 2*f**2*o**3*r - 66*f*o**3*r**3 wrt r.\nAnswer: 24*f**3 - 396*f*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -21. Suppose -11*v + t*v = -14. What is the closest to 1\/5 in -2\/5, v, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 1\/2 (b) -14 (c) -2\/207 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 630 by -6.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8816.094 microseconds to weeks.\nAnswer: 0.000000014576875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 32. Let t(y) = y**3 - 10*y**2 + 3*y - 12. What is the smallest common multiple of 10 and t(l)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*h - d, h + 23 = 2*d + 3*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*((k*k**(1\/3))\/k)\/k)\/k)**(3\/8) assuming k is positive.\nAnswer: k**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*sqrt(1664))\/(sqrt(32)\/sqrt(4)).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(1\/2)\/u)*u)\/u*u)\/(u*u**(-2\/13)*u)*(u*u*u*u*(u\/((u\/u**2*u)\/u))\/u)\/u*u\/u**7*u assuming u is positive.\nAnswer: u**(-35\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 51 + 29. Calculate the greatest common factor of 144 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*x = -3*s, 2*s = -x + 3. Calculate the remainder when (-46)\/6*9*12\/(-18) is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49257*n**3 - 7863*n**2?\nAnswer: 295542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 83*m - 2. Suppose -3*l + 2*y + 18 = 6*y, -4*y = -4*l - 4. Let c be s(l). Do 1 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*u = 0, 5*l + 0*u - 2*u - 28 = 0. Let h be (-2)\/l - (-14)\/4. What is the units digit of 15\/h - (1 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/2930 and 193\/4230.\nAnswer: 1239390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9 + -2.2. Let l = -17 + 36. Let f = l + -18. Which is the closest to -1? (a) d (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4615043760?\nAnswer: 2, 3, 5, 19, 29, 11633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 + -102 + (60 - -11) + -7 + (-2 - -1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002307 to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 585 and 10111165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -25. Suppose j*b - 33 = 21. Which is smaller: b or 27\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106080 by 8160.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryyryrbrrryrl. What is prob of sequence lbr?\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 0\/(-2 - 5). Which is the second smallest value? (a) -0.4 (b) -18 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 5*a + 20, -13*g + 190*g + 3*a = -12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o**3 + 226836*o**2 - 15274708*o - 7694064 = 0. What is o?\nAnswer: -1\/2, 68, 28287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -34. Let s = 75 + -53.95. Let m = s + y. Which is bigger: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/44 - 4\/22*-76. What is the nearest to k in 1\/4, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 262345234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m + 5. Let v(f) = 8*f - 21. Let o(a) = -2*v(a) - 9*w(a). What is o(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.23 - 0.07. Let t = -114\/5 + 23. Which is the third smallest value? (a) -5 (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*p + 133 - 99, 0 = 5*p - 4*l - 16. Let a = 0.6 - 1.1. What is the closest to 1\/3 in p, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702046566 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 195*p**2*q**3 - p**2*q**2*x + 4*p**2*q*x - 11*p*q**3*x - 3*p*q*x - 43*p*q - 3*p wrt p.\nAnswer: 390*q**3 - 2*q**2*x + 8*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-1)\/(-2 + 1)). Let k = -3171 - -2780.6. Let p = 390 + k. What is the nearest to l in p, 2\/11, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u. Let z(b) = 241434*b. Give w(z(q)).\nAnswer: -482868*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170485661?\nAnswer: 3, 390161887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16058)\/1240 + 3\/((-12)\/(-52)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 7*s**2 - 7*s - 4. Let y be c(-6). Find the second derivative of -240*z - 766*z**2 - 730*z**2 + 1278*z**y wrt z.\nAnswer: -436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -382007 - -382012. Let f = -1 - -4. Which is the closest to f? (a) 2 (b) u (c) -3\/8 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 1806*d**2 - 16173*d.\nAnswer: -d*(d + 9)*(d + 1797)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 131141.18 take away -453.117?\nAnswer: 131594.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, 3, 888.\nAnswer: 3, 115, 888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1055 + 0?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 137, 182, 209, 212?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -2\/17 (c) 2\/5 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -758*b**6 - 25*b**5 - 57*b**2 - 4234*b wrt b?\nAnswer: -90960*b**3 - 1500*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c + 12*c - 14*c)*(-2*c**2 + 0*c**2 + 3*c**2)*(5*c + 3*c - c) + 4*c**3 - c**4 - 4*c**3 to z*c**4 + p*c + o*c**2 + m + s*c**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 y when three letters picked without replacement from yypppyppiyyppyypy?\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212033230 (base 4) to base 14.\nAnswer: ac8a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tfgdyygyffyffggfffyf. What is prob of picking 2 f and 1 d?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 58 = 32. Let u be (-12)\/f - (-75000002)\/3. Suppose 3*j + 2*j = u. Round j to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 12*v = -26*v - 150 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(147)*-5 + sqrt(147))*-3 + ((4 + sqrt(147))**2 + 1 - sqrt(147))).\nAnswer: -266*sqrt(3) - 328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/28 and -139\/937644.\nAnswer: 6563508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1300))**2 + -1 + -2.\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 14*h = 6. Let t(n) = -10*n - 6. Let p(c) = 2*c + 1. Let v(u) = h*t(u) - 11*p(u). Calculate v(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2058 and -1?\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*s. Suppose 0*a - 3*a - 39 = s. Let d = a - -36. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 825 and 2350?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -114.9 + 115. Suppose -3 = -w - 1. What is the closest to -0.2 in y, -5, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 55, 186, 393, 676?\n\"Answer: 38*u**2 + 17*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(77)\/(-5*sqrt(11)) + sqrt(7))**2 + sqrt(7) + -1 + 3).\nAnswer: -972\/25 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4485, 5\/4, -35, -0.2 in increasing order.\nAnswer: -35, -0.2, 5\/4, 4485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/101, -2\/23, 1\/2 in descending order.\nAnswer: 1\/2, -2\/101, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2 - 5514*n + 16520. Determine s(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 38157*m + 152676.\nAnswer: -3*(m - 12723)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**5\/20 + l**4\/6 - l**3\/3 + 3*l**2\/2 + 59*l - 1. Suppose u + 2*o - o - 1 = 0, 5*o = -4*u + 8. Determine t(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-25)\/1770) - (-1)\/5. Calculate the highest common divisor of 2 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/2, -0.014, -32, 0?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 871*n**2\/4 + 1741*n\/4 - 1\/2.\nAnswer: (n + 2)*(871*n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-12)*(3168\/(-40))\/(-9). Calculate the highest common factor of 374 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3361778966 to the nearest integer?\nAnswer: 57981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -1, 5, -0.5, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 + 2*h**2 - 3*h - 7. Give t(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(7*r - 7*r - 4*r) + (r - 3 + 3)*(0 + 2 - 4).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/(-6))\/((-20)\/690))\/(462\/(-33)*2).\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -18?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, j: 3, w: 9}. Give prob of picking 2 j.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -100.7 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4711*f - 13429 wrt f.\nAnswer: -4711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 - 2*p - 1. Give c(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from wawafaawqwwwxxae?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8*(-504)\/2072)\/((-6)\/8).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 263\/18, 0.442, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 12) to base 15\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 37796*t + 12 - 75618*t + 37956*t as d*t + j and give d.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**5\/2 + 14*x**4\/3 + 4*x**3 - 19*x**2\/3 - 7*x\/2 + 5\/3 = 0. What is x?\nAnswer: -1, 1\/3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2401, -10253, -23559, -42319?\n\"Answer: -2727*k**2 + 329*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*-9*(-36)\/324?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*n - 31*n - 4 - 19*n - 37*n in the form v + a*n and give a.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 12*t**2 - 11*t. Let a be k(-11). Let z = 9359\/39 - 240. Is a equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12833\/23 + 558. Put 3\/4, -3, n in decreasing order.\nAnswer: 3\/4, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -1312510?\nAnswer: -1312505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(-8)\/n))\/(n**(-5\/4)\/n))\/(n**(-2\/7)*n\/(n\/(n\/(n**0*n)))) assuming n is positive.\nAnswer: n**(379\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u - u - 5*u + (0*u - 3*u + 4*u)*(4 + 3 - 4) + 582 - 275 - 290 + 8*u in the form x*u + s and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*o**3\/11 - 2727744*o**2\/11 - 24550182*o\/11 - 55238274\/11 = 0. Calculate o.\nAnswer: -9\/2, 340977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -7. Suppose 0 = -3*d + k*d - 26. Solve 1 - 5*i + 3 + d*i + i**3 + 5*i**2 = 0 for i.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 7, 3 in increasing order.\nAnswer: -2, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -123 - -65. Let u = l - -286\/5. Which is the smallest value? (a) 2\/7 (b) 0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -182 + 182. Let z = 162.03 + -162. What is the second smallest value in 1\/9, z, 0.2, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 4*(-6)\/24. Let q(a) = -a**2 + a + 1. Let r be q(0). Suppose -6 + r = 5*c - v, -2*v + 10 = 4*c. Solve -h + 5*p - p - 2 = 0, t*h + 3*p + 6 = c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*y**3 + 13639*y**2 - 13639*y**2.\nAnswer: -244*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 4*d**2 - 2*d**3 + d**3 + 2 - 4*d. Let c be 0 + (1 - 4) - 0. What is w(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 181698199?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 391 = -331. Which is the third smallest value? (a) g (b) -0.4 (c) -2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in 2\/5, 1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + r - 1. Let o(m) = m**3 + 5*m**2 + 8*m - 3. Let l(s) = -c(s) - o(s). What is the remainder when l(-4) is divided by (1\/(-1))\/((-1)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961 is divided by 135.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 580 take away -4990529.438?\nAnswer: 4991109.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 230856612 - 230596194.00016. Let c = h + -260401. Let i = 17 - c. What is i rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 309.24 + -309.74. Sort s, 0.4, 44\/5, 2\/11, -2\/11 in ascending order.\nAnswer: s, -2\/11, 2\/11, 0.4, 44\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96361953 = -636*u + 639*u. Let q(b) = -b**2 - 13220651. Let z be q(0). Let w = z + u. Round w to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 2:57 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from ooppooopop.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by 185?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 618 + -302. What is the remainder when j is divided by 80?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -82*u**2 - u - 1. Let l(n) = 3*n**3 - 127*n**2 - 81*n - 216. Let k be l(43). Give f(k).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*i*j**3 + i*j**2 - 33267*i*j + i + 44*j**3 - 2*j**2 - 2141*j + 37 with respect to i.\nAnswer: -5*j**3 + j**2 - 33267*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1473 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11382 is divided by 523.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 10*h - 18. Let t be b(-6). Suppose 4*f = 7*f + t*f. Round f to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19524496, 78098000, 175720506, 312392014, 488112524, 702882036, 956700550?\nAnswer: 1249568066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2287.2 + 2287. Which is the nearest to 0? (a) 0.03 (b) m (c) -2 (d) -3\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 9.7, 3, -30?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -245b32 (base 12) to base 6\nAnswer: -20355302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 - 37*v - 32. Let n be x(-11). What is the greatest common factor of 4668 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -508\/9 (b) 8\/7 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {n: 8, u: 4, g: 5}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071.162 nanometers in meters?\nAnswer: 0.000001071162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 21*w + 10. Let r be a(0). Suppose -r = b - 6*b + 5*l, 0 = -5*l. Solve 5*p + 22 = b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 0 = -2*f + 4*f + 2, 0 = 2*f - 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (8 - (29 - 10)) - (-4 - (3 + -29))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 - 42*h - 13. Let a be p(-11). What is the highest common divisor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97029, -194080, -291131, -388182?\nAnswer: -485233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -21 - (-2029 + 2096).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 6. Suppose 58 = 2*z - 4*r, 0 = 5*z + 3*r + r - 103. Suppose 5*h = -2 - z. What is a(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32042*k**4 + 7*k - 243 wrt k.\nAnswer: 384504*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005554 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 1, t: 1, k: 2, h: 1, f: 1}. What is prob of picking 1 k and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 324.1.\nAnswer: 320.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*o = -62, 4*o - 14 + 10 = 0. Solve 5*u + 5 = -g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -304*n - 503*n + 3*d - 3195, n - d = -4*n - 6 - 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63920*w**6 - 7*w**5 + 41819*w**2 + 3?\nAnswer: 7670400*w**3 - 420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 0*j**2 + 6*j**2 + 4 + 3 - 4*j**2. Let u be z(-4). Suppose -i - 4*r + u = 0, -5*r + 175 = 5*i - 0*r. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3670 is divided by 118?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 174 - 174.0000464. What is s rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -3*n - 9. Find t such that 8*t - 11*t**4 - 5*t**5 + 15*t**3 + 40*t**2 - 11*t + t**4 + n*t = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.42942 from 0.0176668.\nAnswer: -0.4117532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 174281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, l: 3, k: 1, g: 5, m: 4}. Give prob of sequence lk.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + y - 1, 4*g = -0*y - y + 13. Suppose 0 = -i + z + g, -5*z - 4 = 3*i - 48. Let k = i - 4. Solve k*n - 4 = 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2492311218 to the power of 1\/4, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6640.3104 - -6636. Let f = -4.3 - v. What is f rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -8 - (-5 + (2 + 3 - (-38 - -36)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -115, -172, -229, -286?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 0 - 1\/8*k**6 + 0*k**5 + 0*k**4 + 0*k - 32*k**2 - 14\/3*k**3. What is the first derivative of l(a) wrt a?\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**2 - 2*x + 2*x + (25 - 25 - 26*x)*(x + 0 + 0) as w + u*x**2 + g*x and give u.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 68*f**2 + 71*f**2 - 137*f**2 - f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-22162)\/(-6))\/((-308)\/(-264))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 4*g - 15686, 4*g + 3118 = 4*y - 3*y. Suppose 0 = -32*h + 2914 + y. Is h a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*x**2 + 62\/9 - 20\/3*x.\nAnswer: -2*(x - 1)*(x + 31)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -8, 0 in decreasing order.\nAnswer: 0, -8, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5608918 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -143 (b) 0.278 (c) 0.1 (d) 182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {e: 3, d: 2, z: 2, c: 1, k: 3, p: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-95)\/(-665)*28\/24. Let u = -0.2 + 0.3. What is the nearest to u in f, -19, -3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*v - 49 = 0, -3*v + 7*v - 40 = -5*m. What is the highest common factor of 132 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhp when three letters picked without replacement from {h: 2, p: 1, w: 1, m: 7, z: 4}?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -9 - -13 - -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -34*(-3 - 245\/14). What is the highest common factor of x and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81475026.69999939 + 81475032.1. Let h = p + -5.4. Round h to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.13 + 178.13. Let t = p + -298. Let o = 123.9999851 + t. Round o to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b\/b**(1\/14))\/b)**(2\/123)\/(b**11\/b*b\/(b*b*b**(-1\/10)\/b)*b*b) assuming b is positive.\nAnswer: b**(-34637\/2870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i = -42*i - 75 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7687866 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, -94, -352, -862, -1708, -2974?\n\"Answer: -14*l**3 + 8*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 152*r - 3456.\nAnswer: 4*(r - 16)*(r + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -94. Suppose -4*p = -5*x - 57, 6*p - 3*p - t = -x. What are the prime factors of (p\/12)\/((-6)\/(-116))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005343 rounded to five decimal places?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 555\/37*(144\/20)\/(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4182097327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28083721 is divided by 1784.\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*t - 1070*t = -54*t + 574*t + 7296 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892856 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 3:10 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*f + 1485 = 0, 4*f = -4*r + 1869 - 681. Solve 84*z**2 + 78*z**2 - 23*z**5 + 162 - 24*z**3 - r*z - 4*z**4 + 24*z**5 = 0.\nAnswer: -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/(-9) + 6\/(-27). Let n = 5896 + -53060\/9. Put 0, n, y in ascending order.\nAnswer: y, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 215\/10*(-5 - -3). Let s be i\/(-4) - (-13)\/52. What is the derivative of 19 + 11*z**4 + 7*z**2 - s*z**2 + 4*z**2 wrt z?\nAnswer: 44*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 3605?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, h: 6, p: 8}. What is prob of sequence hp?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 110*h**3 - 3*h - 422*h**2 - 109*h**3 - 6 + 430*h**2 + 22. Give v(-9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30.1, -8560\/3, -1\/10.\nAnswer: -8560\/3, -30.1, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -238.088258992 - -0.087846992. Let t = x + 238. What is t rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58955 and 14779565?\nAnswer: 4535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -79*u - 5. Let y be f(-2). Let j = -71 + y. Suppose 170 = 2*d + 2*c + 2*c, d - j = -3*c. What are the prime factors of d?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 145.8?\nAnswer: -150.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 - q**5 + 4*q**5 + (0 - 2*q**2 + 55 - 28)*(9*q**3 - 2 + 2).\nAnswer: -14*q**5 + 243*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 10*n**2 + 10. Let j be b(-10). Let f be 6*(-1)\/(-1) - 1. Suppose 4*h = -6*c + j*c + 16, f*h = -2*c + 13. Solve -14 = h*x + 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/2, 5.1, -3, -30, 3, 1974, 0?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 1. Let p(f) = 26*f + 7. Suppose -o = 2*u + 3, -2*o - u = -0*o + 3. Let g(c) = o*p(c) - 6*t(c). Is g(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 d, and 1 l when four letters picked without replacement from {d: 5, x: 2, g: 1, l: 1}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 4*c - c)*(-60*c - 4*c**2 + 60*c) - 3*c**2 + 3*c**2 - c**3.\nAnswer: 27*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 4)*(-f - 2*f + 2*f) + 5*f - f + 4*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**2 - 30*g**2 - 2*g - 33*g**2 to the form v*g + s + d*g**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/295872 and -71\/35479984.\nAnswer: 425759808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -22863 divided by 218?\nAnswer: -22863\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 5 + -4 + 5 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105 + -101. Differentiate 8*d**4 - 32*d**4 - 45*d**b - 51 with respect to d.\nAnswer: -276*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 82*x + 4 = 83*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.83 - 14. Let p = o - -0.1. Let c = -2137\/12 + 178. What is the second biggest value in 0.5, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 38964.57 millilitres?\nAnswer: 38.96457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 853070230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*y + 67*y - 1 + 47*y in the form g + o*y and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*t = -118*t - 530 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - -250?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535*m + 166*m + 38880 = -36*m - 73*m for m.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6518\/9 - 726. Which is smaller: i or -0.7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 18. Suppose p*w + 6 = -3*t, -7 = w - 4. Suppose 0*f + 2*f + 3*d + 7 = 0, 0 = -2*f - 4*d - 12. Sort t, f, -2 in increasing order.\nAnswer: -2, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19569835*s - 23153746?\nAnswer: -19569835","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -469\nAnswer: -1\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0332077 and -603826?\nAnswer: 603826.0332077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/4*(-26)\/((-182)\/14).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14451 = -924*g - 1038*g - 10331 + 17462 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582 divided by -6?\nAnswer: -791\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**2\/2 + 23*i - 5. Calculate the remainder when p(12) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -26 - 4. Let m be ((-16)\/(-10))\/((-4)\/x). Let d be (-12)\/6 - (2 - m). Solve 0 = -s - 1 - d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**4 + 1330*u**3 + 87060*u**2 - 190280*u - 718240 = 0?\nAnswer: -134, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2247 - 17?\nAnswer: -2265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2010444513?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y - 67*y = 26*y - 218889. What is the highest common factor of 67 and y?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220001210000 (base 3) in base 14?\nAnswer: c48ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 26\/12 - -2. Let v be 1\/(-4) + (-56)\/(-96). What is the closest to 1\/3 in -5, l, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7767837.9 seconds in days?\nAnswer: 89.90553125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/31, 3, 1, -2\/29?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 196 + -154. What is the remainder when n is divided by 2 + -3 + 11 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 - -108. Let m be 1*((-3)\/(-4) - x\/8). Factor -1\/4*r**2 + 0 + 1\/4*r**3 - m*r.\nAnswer: r*(r - 2)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**5 + 12*c**4 + 24*c**3 - 40*c**2 - 84*c - 36 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 41 = -3*d + 26, -2*d = 40*c - 1006 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*f + f. Suppose -f*u + 34 = x, 0*x + 4*x + 4*u = 112. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -310, -327, -378, -481, -654, -915?\nAnswer: -1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1.85 = 35.68169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 364354687 - 364355187.999118. Let y = f + 501. Round y to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00701 to four decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 5:17 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.0647443ns in weeks?\nAnswer: 0.00000000000004309646875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-75)*(-100)\/(-2)*(-2)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.14351.\nAnswer: -0.043053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 + u**2 - u**4 - 1 + 3 - 3*u**3 in the form f*u**2 + g + d*u + c*u**3 + t*u**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*r - 15 = 0, -4*x = -0*x - r - 12. Let w(v) = -1 + 4 - 2*v + 5 - x. Suppose 3*o - 18 = -6. Determine w(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -3*v**4\/2 - v**3 - v**2\/2 + v - 2. Let f be j(-2). Let k = f - -14. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 501124 and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.5, -8, 1\/7, -3, 5 in decreasing order.\nAnswer: 10, 5, 0.5, 1\/7, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12*12\/10)\/((-1)\/30).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121230002 (base 4) in base 13?\nAnswer: 38b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17, 39, 61, 83, 105?\n\"Answer: 22*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 1734853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -236, -943, -2122, -3773, -5896, -8491?\n\"Answer: -236*q**2 + q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 42, -2\/5, -4, 3.1, 25 in increasing order.\nAnswer: -4, -2\/5, 3\/7, 3.1, 25, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 12*j**2 + 2080*j + 89597. Determine l(-80).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -10*v**3 - 13*v**2 - 3*v. Let f(h) = 15*h**3 + 20*h**2 + 4*h. Let m(y) = -5*f(y) - 8*q(y). Let b(n) = n**3 + n**2 + n. Calculate 4*b(p) - m(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 1698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lykluyuuuk. What is prob of picking 2 u and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 21*i - 864 = 0. Calculate the least common multiple of 4 and i.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (-12)\/(-3) - 53. Let p = l - -38. Let m = p - -31. Calculate the remainder when 79 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -18, 4 in decreasing order.\nAnswer: 42, 4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109 + -154. Let i = -1543.1 - -1722. Let u = -179 + i. Which is the nearest to u? (a) o (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 694 or 664?\nAnswer: 694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/19640 and -107\/9820?\nAnswer: 19640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340290833?\nAnswer: 773, 440221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*d - 2440, 2*d = g + 4*g + 2424. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/1 - (-370)\/111\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 3. Let o(r) = 1. Let u(c) = -2. Let n(h) = 7*o(h) + 4*u(h). Let m(a) = a**2 - 4*a + 5. Let w be m(3). Determine w*t(x) - 4*n(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*r - 26*r + 25*r as y + j*r and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.021, 62, -0.4, 10\/9 in increasing order.\nAnswer: -0.4, -0.021, 10\/9, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 5)*(1 - 2). Suppose 31 = n*r - i, -i = -3*i + 2. Suppose 4*x + 3*c = x, r = x - 3*c. Solve -3*a + 2*j = -20, -x*a = 3*j + 2 + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 13*r**2 + 9*r + 9. What is the units digit of n(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -13344320234?\nAnswer: -13344320224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -u + 5 + 8, -5*u - 15 = 0. Suppose 6 = -l*z - 2*r, -5*z = -0*z + r + 9. Let x = z - -21. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + 0 + -12 + 15 + -14 + 9 + 8?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 13*d - 179. Give t(-6).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10592570657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -5, -1, -14, -3, -218 in descending order.\nAnswer: -1, -3, -5, -14, -62, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -91 - (38 + 0 + -12 + -12)\/(3 + -4)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five eighths of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*-10*5106\/(-4255)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -5*p - 5*r + 52, p + 5*r = 16. Let v(d) = d + 3*d - d - p*d. Let k(u) = 3*u**2 + 4*u**2 - 5*u**2. Give k(v(b)).\nAnswer: 128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21215 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 101166828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 + 3)*(1 - 5 + 5) - 4 - 1 + 4)*(30*p**2 - 5*p**2 + 2*p**2).\nAnswer: 108*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 6 in ascending order.\nAnswer: 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6729?\nAnswer: 3, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(112) - ((sqrt(567) + -2)*-5)**2.\nAnswer: -14272 + 908*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/30)\/((6\/(-264))\/(4\/((-64)\/(-6))))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12190\/11 + 1108. Put -3\/4, t, 459 in decreasing order.\nAnswer: 459, t, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6)\/(u*u\/u**11*u)*(u\/u**6*u*u)**(-3) assuming u is positive.\nAnswer: u**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*h + 6 = 191*h. Let m(q) = -2 - 3 + q - q**2 - 4 + 2*q**h + 10. Let d(r) = 9*r**2 + 6*r + 5. Calculate -d(b) + 5*m(b).\nAnswer: -4*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78469 or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 j when three letters picked without replacement from szjzzzjcjzzzjzzjzzj?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 - -6. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 289 + -465\/2. Let o = j + -55. Determine d, given that -3\/2*d + 9\/2*d**2 - 9\/2*d**3 + 0 + o*d**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75550 by 10.\nAnswer: 7555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 0) + 5 + 65\/(-21). Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 366*o**2 + 23*o + 394. Is f(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 12:18 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1670d9 (base 15) to base 3.\nAnswer: 2001020000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14318*p**2 - 168097*p.\nAnswer: 28636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8*i**3 + 25*i**2 + 4*i - 28. Give x(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -202 - -146?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.24 (b) 0.2 (c) -6 (d) 6 (e) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.913 rounded to 1 decimal place?\nAnswer: 29.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000915663 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 10 = 3*g + 3*b, 5*g + b = 14. Let f = 10 - 5. Let u be (f\/(10\/(-12)))\/(-1). What is the highest common factor of u and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -6*f - 5*o - 435, -3*f - 2*o = -624. List the prime factors of f.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*j**5 + 8*j**4*x - j**3*x - 18*j*x + 2*j + x wrt j.\nAnswer: -140*j**3 + 96*j**2*x - 6*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 38 + -40 + 41 + 35?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+840214\nAnswer: 840213.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -100*m**2 - 39*m + 39. Let h(i) = -575*i**2 - 225*i + 225. Let a(y) = -75*f(y) + 13*h(y). Let b(z) = -z**2 - 35. Calculate b(a(l)).\nAnswer: -625*l**4 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -64\/5 - 1\/5*i**3 - 48\/5*i + 3*i**2 = 0?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-141)\/94 + 3 + 518\/28.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29.001 + 0.001. Let l = 29.1 + r. Which is smaller: l or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -406 + 404. Let q = 2.27 + -2.3. Which is the nearest to x? (a) 7 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 15, f: 3}. Give prob of picking 3 l.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1756 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 15*g + 19*g - 215*g.\nAnswer: -181*g + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 2*i**2 - 3*i + 5. Determine y(-5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 4998*v**2 - 3124998*v + 3120002.\nAnswer: -2*(v - 1249)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p - 6. Let m = -7 - -5. Let o be ((-4)\/m)\/(1\/(-2)). Let v(j) = 5*j - 5. Let k(d) = -6*d + 53. Let t be k(8). What is o*z(s) + t*v(s)?\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 13. Let z be 5 + -3 - (-1 + y). Suppose 2*n = 4*j + 10, -2 = j - 1. Solve -z*d + s + n = 4*s, 5*s - 5 = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Let d = 5 + -1. Suppose 4*i + t = 13, -i = t - r - d. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387400 is divided by 95.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 11:04 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 + 913 + 2*z**3 - 5*z**3 - 57*z - 913.\nAnswer: -10*z**3 - 57*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-6 - (-6 + 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 371.41 + -371.41. Let u = -1 - -0.5. Let r = -2\/45 + 53\/180. What is the nearest to 1\/3 in u, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(272\/(-85))*16\/(-10)*102\/24?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4780 a factor of 426108227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from eeieieeekiexkiik?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -99. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhvhhhhhh. What is prob of picking 1 v and 1 h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56431 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 b when three letters picked without replacement from {e: 6, b: 2, a: 9}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -82, 46, -2\/3.\nAnswer: -82, -1, -2\/3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116897 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47033, -188262, -423643, -753176, -1176861, -1694698?\nAnswer: -2306687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176, -170, -150, -110, -44, 54, 190, 370?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6379751 or 6379750?\nAnswer: 6379751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - -148. What are the prime factors of p?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 71 in descending order.\nAnswer: 71, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2, -0.1, 0.54, 38\/159?\nAnswer: 38\/159","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 12) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24534.234 months to centuries.\nAnswer: 20.445195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 141353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 337888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -94*i. Let t(z) = -14*z. Determine t(y(f)).\nAnswer: 1316*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 712*w**2. Let q(d) = -d - 23045. Give q(y(i)).\nAnswer: -712*i**2 - 23045","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2396 - -40?\nAnswer: -2356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - b = -5*b + 65, 16 = -z + 5*b. Suppose v + 4 = z. Solve 4*k - 7 = s + v, -k + 3*s = -3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-8)*1208\/906\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95173453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10585 * -3\nAnswer: 31755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.626 rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166272 divided by -2?\nAnswer: -583136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17468?\nAnswer: 2, 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - 11 - 4 - (-14 - (-34 - -23))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/10449567 or -1?\nAnswer: -4\/10449567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from yyxryyxyymymmm?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*f - 1122*f - 1534*f + 222*f)*(-5*f + 2*f + 4*f)*(-3*f**3 + 3*f**3 + 2*f**3).\nAnswer: -4904*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 2 (b) 0.4 (c) -3\/2 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*o - 62648, -x - 985*o + 980*o = -15656. What are the prime factors of x?\nAnswer: 15661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 - 1796866*r**3 + 32849*r**3.\nAnswer: -1764017*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 - 7*q**2 - 2*q + 6. Determine o(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 17*o - 21 = 0. Solve 25 - o = -9*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 10. Let t = y + 7.99935. Round t to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.7 (c) -0.19 (d) 2\/7 (e) 3\/4 (f) -0.171 (g) -30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in -1887, 1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.6 + 20. Let r = -0.4 + s. Let x = r - 1. What is the smallest value in -0.5, 4\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-6)\/15))\/(45\/90).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**2 - 1090405140*u + 1090405135 = 0?\nAnswer: 1, 218081027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 5*r - 5*k - 54, -5*r + 245 = -3*k. Solve -10*s + 2 = r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(1008)\/sqrt(7)) + -4*(-2 + sqrt(48) - sqrt(48)).\nAnswer: sqrt(3)\/4 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*m**2 - 106*m**2 - 799*m**2.\nAnswer: -1141*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bays when four letters picked without replacement from yiyagisiibiyiigi?\nAnswer: 1\/14560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/8 and -47\/323704712.\nAnswer: 323704712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 172 - 167 + 336*d + 255 - 143*d - 132*d to the form g + z*d and give g.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -4*b + 5*f, -5*f + 120 = 3*b - 134. Suppose 231 = 4*h + b. What is the remainder when h is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 84 in -1254, -0.2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 71\/6*g**3 + 0 + 0*g**4 - 5\/6*g**5 + 0*g + 120*g**2. Find the first derivative of t(z) wrt z.\nAnswer: -100*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 39*i + 201. Let l be t(-3). Calculate the greatest common divisor of l and 756.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -107969, -215894, -323771, -431594, -539357?\n\"Answer: p**3 + 18*p**2 - 107986*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -297 (b) 2.2 (c) 2\/5 (d) 362 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.03575 years to millennia.\nAnswer: 0.07403575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) + -8 + 8. Suppose -3 = i - 7. Let o be 5 - 0 - 51\/9. Which is the closest to o? (a) i (b) q (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1605824 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 11:05 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 20\/(-6) + 0)\/(5573\/(-16719)). Suppose -10 = -2*q + 2*n, -3*n - 4 = -q + 3. Solve 5*j + q*p = -16, -6*j + 4*j - p = y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1131132312 - -1?\nAnswer: -1131132311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -355, 6 in decreasing order.\nAnswer: 6, 0, -4, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 69*i + 7377. Determine h(-107).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*o, -9*l = -10*l + 5*o + 1008. Is l at least 982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -10*z - 12. Give i(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 363 - 2546\/7. Find the common denominator of -51\/11 and f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**3 + 3*h**2 - 6. Let z(j) = 4*j**3 + 2*j**2 - 5. Let f = -776 + 773. Determine f*z(m) + 2*o(m).\nAnswer: -2*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6, 4, 8, 18, 34, 56, 84?\n\"Answer: 3*h**2 - 11*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1024 and 3712.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -89, -86, -83?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -3, -7, 69, -117 in increasing order.\nAnswer: -117, -7, -3, 3, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7205?\nAnswer: 5, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5214673 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36582 + 3?\nAnswer: -3657b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103 or -1262?\nAnswer: -1262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27\/52 + 629\/78. What is the common denominator of (3\/7)\/(((-408)\/416)\/(-17)) and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -435*l*v**2 - 4*l + 13638*v**2 - 1863743*v wrt v?\nAnswer: -870*l + 27276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45967559 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 5, 1, -1, -4, 3745 in decreasing order.\nAnswer: 3745, 24, 5, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.152, -0.1?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 5. Solve t = -w - 0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - 112207*s - 76. Calculate j(0).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 4) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 + 0*m**3 + 5*m**3)*(-3*m**2 - 9*m**2 + 11*m**2) + (2*m + 0*m + 0*m)*(3*m + 3*m - 2*m)*(m**2 - 5*m**3 - m**2).\nAnswer: -41*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 + 122 = 12*g. Solve 3*f - 9 = 3*v, 0*f = 3*v - g*f + 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 25. Let r(x) = 25*x + 17. Let h(p) = -30*p - 21. Let s(j) = 4*h(j) + 5*r(j). Give s(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/48 + 25398\/(-5712) + 4\/7?\nAnswer: -25\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*n - n + 3*n)*(717 - 552 - 415 + (2 + 3 - 3)*(-1 + 4 - 2)) as p + y*n and give p.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-887914\nAnswer: 17758.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -682, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.05896l in millilitres?\nAnswer: 23058.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1817 = -2*a - 3*n + 1832, 10 = a + 2*n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 290013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 52, 59?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y**2 + 40*y - 4. Let j be r(6). Calculate the greatest common divisor of 70 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1728477 is divided by 192050.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 6*x - 3. Let d be k(5). Suppose -w = -d*w + 9. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 2 = -7*z. Let o be 16\/6 - (-3)\/9. Let n be (-2)\/(-6) + z\/o. Solve -p + 1 = -n*x - x, 2*p + 2*x - 6 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31904\/171 or 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - q = -13, 17 = 4*a + 4*q - q. Let y(d) = -d + 1. What is y(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 12 = 0, -4*k + 3*g - 4*g + 4 = 0. Let y = 125 + -157. Let m(r) = -r**2 - 39*r - 227. Let z be m(y). Put 14, k, z in increasing order.\nAnswer: z, k, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 11*k + 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 12*x - 17. Let k be l(15). Suppose 7*w = -k - 14. Let a(t) = t**3 + 9*t**2 + 15*t + 2. What is the units digit of a(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1520668974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 179.51 and 0.0469.\nAnswer: 8.419019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -420.145 * 116\nAnswer: -48736.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 6*(1 - 2\/3). Solve -12 = p*d + 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2628 + -0.0372. Put -0.4, t, -1, 10 in descending order.\nAnswer: 10, t, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/17 - -25\/34. What is the fourth biggest value in g, 0.2, -0.06, 5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(4\/(-16)*1). Suppose r*d - 8 = -2*x, -5*x = -d - 19 - 1. Suppose 7*c - 724 - 116 = d. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10672 and 294784?\nAnswer: 196620928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncc when three letters picked without replacement from {h: 4, n: 6, c: 5, d: 4}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 446880 and 50160.\nAnswer: 4915680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 841905203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136683408*j**2 + 117673851*j wrt j.\nAnswer: 273366816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61.86 + 0.14. Let d = 0.377 - 0.177. Which is smaller: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 * -1.48.\nAnswer: -0.2368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 248 (c) 3\/5 (d) 2\/3 (e) -0.5 (f) -9\/4 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 1:40 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-576)\/(-63) - 9)*-2. What is the nearest to p in -4\/7, -5, -3\/4, 1.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + s - 43, 26 + 0 = c - s. What is the remainder when c is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 123 = 11. Suppose k*n - 5396 - 9570 = 0. What are the prime factors of n?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w + 0*w + 3*w)*(-w**3 + 2*w**3 + w**3) + 0*w**4 + 11*w**4 + w**4 - 11*w**4 + 5*w**4 + 2*w**4 to m*w**2 + s*w**4 + c*w + j*w**3 + q and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14, -3, -669, 0, -4 in increasing order.\nAnswer: -669, -14, -4, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2 = -0. Suppose -r + 6 = 2*n. Suppose 0 = n*m + 3*m. Is -2\/23 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -108\/17 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 5, -3, -2, 2 in ascending order.\nAnswer: -14, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7275 + -7180. Solve -46*t + 27*t + s = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (348\/2 + 3)\/1. Let v be 4\/(-6) - ((-632)\/l)\/4. Let n = v + 15353\/1770. Find the common denominator of -3\/8 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -56256, -225591, -507828, -902973, -1411032, -2032011?\n\"Answer: -l**3 - 56445*l**2 + 7*l + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 22176.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 5 - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s + 40 = 36*s - 5*q, 2*s = -4*q - 2. Let u be (-1)\/((-1)\/2) + 1. Suppose -3*o + 186 = -4*g, u*o - o - 124 = -s*g. What are the prime factors of o?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(-30))\/(2\/(192\/16)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/7 + 603823*i\/7 - 603822\/7 = 0.\nAnswer: 1, 603822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119546, 238875, 358206, 477539, 596874, 716211?\nAnswer: 835550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 9*k**4\/8 + 213*k**2. Let r(o) = -8*o - 6. Let l(y) = -7*y - 5. Let w(v) = 6*l(v) - 5*r(v). Calculate s(w(j)).\nAnswer: -54*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -3 (b) -6\/7 (c) 1.82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 480605\/7777392 + 137\/4688. Let y = g + 1\/237. Calculate the common denominator of y and 46\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18716*n - 239 with respect to n.\nAnswer: 18716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 345941 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2779058832 to the nearest integer?\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2211 divided by -3\nAnswer: -737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 5*s**4\/12 + 55*s**3\/6 + 60*s**2 + 18*s + 14. Let c(g) = 0. What is g?\nAnswer: -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 3. Let x be u(3). Solve 0 = -x*v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -257292050 by -51458410.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -19, 9, 81, 215, 429?\n\"Answer: 3*y**3 - 5*y**2 - 4*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -309 (b) 1\/3 (c) 2\/61 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4 + sqrt(500)*-1 - 2*sqrt(500)*2 - (sqrt(500) - (2*(0 + sqrt(500)) - sqrt(500)) - ((sqrt(500) + 2*sqrt(500))*6 + sqrt(500)))))**2 + -3 + -4.\nAnswer: -10080*sqrt(5) + 882137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 29. Let r be l(0). Suppose 5*f + r - 119 = 0. Calculate the least common multiple of f and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i - i)*(-3*i - 7*i + 5*i)*(300*i**2 - 358*i**2 - 585*i**2).\nAnswer: -3215*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - z = 8. Suppose -4*y + 68 = -s, -z*y + 3*s = -0*s - 24. What is the least common multiple of 94 and y?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2. Let g = -9 - 6. Let a = -9 - g. Let m(k) = -4*k + a*k + k. Calculate m(w(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-105) - ((-2)\/(-1428))\/((-29)\/(-1160))\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 770 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**3 - 16*n**2 + 217*n - 200 = 0?\nAnswer: -25, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {v: 4, i: 7}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -146*a + 148*a + a**4 - 516*a**2 + 2*a**3 + 510*a**2 in the form d*a**4 + n*a**2 + p*a + v*a**3 + y and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3207.963 millennia?\nAnswer: 3207963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*j + 4*o, 0*j + 3*j - o - 14 = 0. Let y = 58 - j. What is the remainder when y is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 + 2*a - 1. Let q be m(-3). Let w(u) = -18*u**2 + 0*u + 0*u + 1 + q*u**2. Calculate w(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -9424*d + 9426*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2 + 4*a. Let k be 8\/(-4) + (2 + 0 - 34). Let s(n) = n**3 - 17*n**2 - 23*n. Determine k*v(j) - 6*s(j).\nAnswer: -6*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, -5, 5, 85, -4 in ascending order.\nAnswer: -8, -5, -4, 2, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bogw when four letters picked without replacement from {g: 1, w: 4, z: 2, o: 1, b: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 884*g = -880*g - 8, 60 = -5*u + 2*g + 3*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -6027044?\nAnswer: -6027043.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from {d: 2, h: 1, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14421 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -5, -3 in decreasing order.\nAnswer: 5, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/11 - 2\/11*l**2 - 10\/11*l.\nAnswer: -2*(l + 1)*(l + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**6\/180 + k**4\/12 + k**3 - 1. Let q(l) be the third derivative of y(l). What is the tens digit of q(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/9*-3*(-8)\/16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6+7437821356033\nAnswer: 7437821356039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2865730 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -628 or -116.93?\nAnswer: -116.93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*g - t + 8, -29 = -5*g + t. Let k(p) = -22*p**3 + 2*p**2 + 2*p + 1. Calculate the remainder when k(-1) is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8931931 a multiple of 1037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 + 51. Let h = v + 55. Let j = h - 3. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22144 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05065422473 rounded to four decimal places?\nAnswer: -0.0507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -32*w - 64. Let c be v(-8). Let b = -78 + 25. Let o = c + b. Is 32 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3138 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/13? (a) -0.215 (b) 4\/5 (c) 2\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-30)*20\/8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 1. Let o(t) = -35*t + 42. Let d(q) = -o(q) - 42*v(q). Let b(p) = -117*p + 380*p - 146*p - 116*p. What is b(d(a))?\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1249932 divided by -6\nAnswer: -208322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*1*4\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 1)*(-393)\/1048. Put q, -0.3, 0.2, -2\/29 in ascending order.\nAnswer: -0.3, -2\/29, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 162*b - 161.\nAnswer: -(b - 161)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 12320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 21 = -2*c - 5, 0 = -3*n + 4*c + 84. Suppose -g + n = 3*g. Suppose m + 3 - g = 0. Solve w + 5*f - 27 = 0, m*f = -2*w + 20 + 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*l + 2. Let k = 6 + -5.3. Let x = k + -1. Which is the nearest to 0? (a) x (b) l (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.42292 + 0.07708. Let m be (8\/(-18))\/((-10)\/3). Suppose c = 6*c - 10. What is the nearest to -1 in m, c, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 57*w**2 - 4*w - 21. What is the tens digit of s(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b + 5. Let j(g) be the first derivative of -g**2\/2 + g + 2. Give -h(k) + 3*j(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 76\/5. Let s be (-1560)\/325 + (-11)\/((-88)\/40). Which is the closest to 0.2? (a) 8 (b) h (c) s (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235, 461, 687?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.40641l to millilitres.\nAnswer: 19406.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -28. Suppose 0 = j*u - 18. Suppose 180 = -2*n + u*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + r - 3 + (2 + 1 - 4)*(3*r - 4*r + 0*r) + 0*r + 2*r - r)*(635 + 663 + 352) as u + y*r and give y.\nAnswer: 4950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(-1)*1\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - 2*a - 7*a + 2*a to h + x*a and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, 261.6, 41, -0.5?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -550 - -570. Solve -4*u - 12 = -p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48\/763 or 1?\nAnswer: 48\/763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgg when three letters picked without replacement from vggv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836065.259ns in weeks?\nAnswer: 0.0000000030358221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 174051 a multiple of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - -16. Suppose q + 8 = 3*d, 0 = 5*q + 5*d - 0*d + 140. Let u = q + h. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 2778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -131, -828, -2523, -5654, -10659?\n\"Answer: -73*y**3 - 61*y**2 - 3*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/5, -4, -100, 7\/25, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**6\/10 + 3*x**2\/2 + x + 2. Let i(q) be the first derivative of n(q). Differentiate i(c) wrt c.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - 3*a**4 + a**4 - 4*a**2)*(-78 + 121 - 61).\nAnswer: 36*a**4 - 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**5 - 2*h**5 + 4*h**5)*(3 - 1 - 3) + 3*h**5 - 4*h**5 + 4*h**5 + (-2*h**5 + 3*h**5 + h**5)*(1 - 3 + 1) + (-23 + 23 + 7*h)*(h**4 + h**4 - 4*h**4).\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25060 + -2130052\/85. Find the common denominator of 41\/4 and m.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-33)\/(-132))\/((-3)\/(-12)). Let t be (-1 - -5)\/((-19)\/1). Which is bigger: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 207 by 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 6) + (-1 - 1) + -4 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -102 bigger than 154977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 7:06 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 0*p - 1\/840*p**8 + 1\/150*p**6 - 4\/75*p**5 - 2\/15*p**3 - 5*p**2 + 7\/60*p**4 + 2\/525*p**7 + 0. Determine w so that l(w) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.1281 micrometers in meters?\nAnswer: 0.0000151281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p**17)\/p))**8 assuming p is positive.\nAnswer: p**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/5 + 590*k**2 + 2936*k\/5 - 17688\/5 = 0.\nAnswer: -1474, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7722062, -15444147, -23166232, -30888317, -38610402?\n\"Answer: -7722085*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-366)\/(-4) + 1\/2. Suppose -5*f + 5*i = 37 - n, f + i = 1. Let x be (2\/f)\/((-3)\/(-36)). Solve x*c + 1 = -3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 747684 and 37926.\nAnswer: 5233788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 - 177 = -14*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/8)\/(90\/(-80))*6. Suppose -3*f - 12 = -39. Suppose 3 = c*o - f. Solve 32 = 5*j - 4*t, o = -t - 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195 divided by -239?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31037403 to the power of 1\/2, to the nearest integer?\nAnswer: 5571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*a - 334*a + 10 = -3*u, -5*u + 30 = -15*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20193\/97750 - 2\/2875. What is the common denominator of 2\/((48\/(-26))\/(-3)) and v?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -77, -85, -99, -119, -145, -177, -215?\n\"Answer: -3*q**2 + q - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/10 (b) -2 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-56)\/6*(-3 - -2 - (26 + 0)) and 126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*k*q**3 + b*k*q + b*k + 2*b*q**3 - b*q - 353*b - 2354459*k*q**3 + k*q**2 + 3*q**3 - 24*q**2 - 14*q wrt q.\nAnswer: 6*b*k + 12*b - 14126754*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, b: 6, w: 7, l: 2, z: 1, d: 2}. What is prob of picking 2 d, 1 b, and 1 z?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 11 = 2*l. What is the common denominator of l and 3 + 148\/8 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(119)*3*-1)\/(-3*(sqrt(1008)*-3 + sqrt(1008) + sqrt(1008))))**2.\nAnswer: 425\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 8*k**2 + 11*k + 7. Let b be o(-7). Let v be 6\/b + (-57)\/21. Let u = v + 7. Let n(r) = -r**3 + 4*r**2 + 2*r + 4. Calculate n(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2052*w - 331*w = 154*w + 29773 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446 is divided by 150.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 12*y + 67. Let h(a) = -a**3 + 2*a + 1. Calculate -g(t) + 5*h(t).\nAnswer: -6*t**3 - 2*t - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1ab (base 13) to base 4\nAnswer: -10312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 189 - 327. Let h = x - -313. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 95 - 23 = 0. Let k = -97 + 313. What is the highest common divisor of a and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 882*a - 878*a = -4*y + 24, -4*y = -5*a - 24. Suppose -3*r + 10 = 2*r. Let j be (-2)\/2*(-8 - -3). Sort r, j, -23, a in decreasing order.\nAnswer: j, r, a, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 5 - 7)*(-2 + 0 + 0)*(-1 + z**2 + 1).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (155 - 99)*(-18)\/(-24).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660216 is divided by 962.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5225 + -174645?\nAnswer: -202072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -643361\/3 and -214454 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-180)\/(-216))\/(1\/2))\/((-1160)\/34104).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o**4 + 2*o**3 + 7*o**2 - 2. Let h(b) = 27*b**4 - 9*b**3 - 27*b**2 + 9. Let v(f) = 2*h(f) + 9*x(f). Find the third derivative of v(k) wrt k.\nAnswer: -216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7074 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: Solve -815*d + 667*d + 3482 = -8210 for d.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 107, 112, 119?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2 - 2102*q + 110100 = 0 for q.\nAnswer: -1101, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/(-78)*9\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z - 9 - 4*z + 4*z. Is v(7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -72*h + 2449. Give q(34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901 = 3*f - 892 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/(-16))\/(4\/16). Let b = i + 33. Suppose 7 = f - 3*c, 2*c = 3*f + 5 - b. What is the remainder when 22 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2236 or 2243?\nAnswer: 2243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d + 94. Determine q(-26).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*q + d, 4*q + 2*d = -0*d + 92. Let p(u) = u**2 + 2*u + 2. Let j be p(-1). Let m = 567 - 565. Solve 0 = -f + b + j, 0 = -4*f - m*b + q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 5107.44?\nAnswer: -5107.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l**2 + 8. Suppose 5*a + 22 - 62 = -5*u, 6 = 3*u. Let y(h) = 26*h**2 - 23. Determine a*y(v) + 17*j(v).\nAnswer: 3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 302143 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 4*g**2 + 5*g + 3. Let f be d(-5). Let m = -21257\/285 - -364\/57. Let k = -68 - m. Which is the second smallest value? (a) -1 (b) k (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23277349 a multiple of 773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 8.076.\nAnswer: 40.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*t**2 + 66*t - 64*t + 94*t**2.\nAnswer: -214*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 10*g + 2*g)*(g**3 - 7589*g**2 + 7589*g**2 + 21).\nAnswer: 10*g**4 + 210*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -7) + (36 - 20 - 35).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 160 + -150. Let c(o) = -5 + 11*o + 2 - 6*o + 5*o. Calculate the remainder when c(4) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 312*i + 2209. Give h(-7).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 10:35 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(567)*1)**2 + 0 - sqrt(567)) + sqrt(567) + sqrt(567)) + -3*(sqrt(567)*-2 + 0).\nAnswer: -567 + 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/162 and -49\/3348?\nAnswer: 10044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 2, h: 2, j: 2, r: 1}. What is prob of picking 1 s and 2 j?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 + -83. Solve q = 4*s + s - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.083 + 31.917. Let d = y - 31.999971. Round d to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -1\/8 (b) -0.3 (c) -1 (d) -1081 (e) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15317.151 rounded to the nearest 100?\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*n + 36 = 4*o, 0 = n - 7. Solve 77 = -0*i - o*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 880416 divided by 864\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*6\/(-6)*-3. Suppose -1 - 4 = 5*t - m*k, -35 = -5*t - 5*k. Factor 3\/2*o**t + 6*o + 0.\nAnswer: 3*o*(o + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**4\/12 - 2*a**3 + 8*a**2. Let v be d(-7). Solve 5*h + 14 = -3*r, -v*r - 2*r = -h + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045891 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + -18. Let f = -15360 - -15405. Let j = n + f. Which is the fourth smallest value? (a) j (b) -3 (c) -5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) -4 (c) -0.3 (d) -54\/547 (e) -0.1 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 8. Let w be d(6). Find the second derivative of 3*m + w*m**5 + 4*m**5 - 3*m**5 wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, b: 4, o: 5, l: 1}. What is prob of sequence bbo?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5 = 3*a, -11 = -5*a + 19*o - 17*o. Solve a = 63*x - 64*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1119384419 to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 + 654*w**3 + 1935*w**2 - 12*w - 2580.\nAnswer: 3*(w - 1)*(w + 2)**2*(w + 215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/32)\/((-2)\/(-20)). Let f = -3 - r. Let n = -29 + 59. Calculate the highest common divisor of n and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -6*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24914521*i - 29332602 wrt i.\nAnswer: -24914521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/4)\/(13\/(-26)). Solve -a + 4 = d*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/3751 and -119\/3410.\nAnswer: 37510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 6 = 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 584*n - 4800.\nAnswer: 2*(n - 300)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aar when three letters picked without replacement from raharrphppabzra.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**5 - 2*s - 4. What is the derivative of w(i) wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33335 or 33338?\nAnswer: 33335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -34*7508\/(-32) + (-10)\/8. Let v = 16059 - w. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/(-3*(-15)\/18)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -389*q - 415*q - 7824 + 29532 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 81*t**6\/40 + 531*t**5\/20 - 31*t**4 + 14*t**3 - 66*t**2 + 1. Solve a(v) = 0.\nAnswer: -7, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25921*a + 5 + 2 - 8.\nAnswer: -25921*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -185 - -2037\/11. Which is the closest to -1\/2? (a) 0.2 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/18 + 91\/(-182)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -75\/2*g**2 + 0 - 38\/3*g**3 - 105*g. What is the first derivative of m(f) wrt f?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 + 79. Factor -12\/7*m + 2\/7*m**q + 18\/7.\nAnswer: 2*(m - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -a + 6, 5*a + 27 = -3*p - 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(36)\/((sqrt(6) - (sqrt(6) - sqrt(36)\/sqrt(6))) + sqrt(6) - sqrt(6))))\/(sqrt(125)*1 - sqrt(245)*-1).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -3\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 5. Let s(i) = -i**3 + 9*i**2 - 12*i + 12. Let o be s(p). List the prime factors of 2\/6 - o\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*k = -c - 4, 3*c = k + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/16107 and 31\/9912.\nAnswer: 128856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**4\/3 - w. Let x(c) = c**3 + 5*c**2 + 3. Let h be x(-5). Let l(i) = -13*i**2 - h*i**2 + 12*i**2. What is z(l(q))?\nAnswer: 64*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) -2\/5 (c) -3\/2 (d) -22319 (e) 1 (f) 0.4 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000573964492 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 42*r - 335. What is h(0)?\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 + -0.1. Let y be 1\/(-5) - 1\/(-5). Is y at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 - (-1 + 8\/2). Suppose -4056 = -v*b - 210. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 203 + 62)*(187 - 15*v**5 - 187).\nAnswer: 2295*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 660\/(-1760) - 67\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 3*h**2 + 3. Suppose -y - 1 = -4. Let j(z) = -2*z**2 - 3 - 4 - z**y + 5. Let k be ((-6)\/(-4))\/((-9)\/(-12)). Calculate k*n(a) + 3*j(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/15 - 20\/(-12).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 357*d = 362*d - 32, -64 = -2*l - 5*d - 20 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 73340.3308 to the nearest 10.\nAnswer: 73340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/22*(-27)\/6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 416\/(-26)*(-5)\/(-20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-4) - 920\/(-32). Let n = -4 + c. What are the prime factors of 2\/5 - (-1090)\/n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 8*z**2 - 3*z - 6. Give v(-6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -11*g**2 - 183*g - 28. Let u(m) = 8*m**2 + 183*m + 19. Give 2*r(w) + 3*u(w).\nAnswer: 2*w**2 + 183*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/45 and 67\/15110?\nAnswer: 135990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + -a7?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000407463 rounded to five decimal places?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1526 - 1505. Let a = 142 - 138. Solve -a = -5*x + q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1345 + -756. Does 31 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -8. Put -1, p, 5 in increasing order.\nAnswer: -1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 16. What is the remainder when m*(-1 + (-14)\/6) is divided by 0 + (-1)\/2 + 207\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101746420?\nAnswer: 2, 5, 41, 167, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -19135648 divided by 2\nAnswer: -9567824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4994091884 divided by 4.\nAnswer: -1248522971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 18 - 29 - h - 7*h. Suppose -5*n - 5*b - 2 = -3*b, 0 = 4*n - 3*b + 20. Let s be c(n). Solve 0*l - 20 = -s*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -9. Let q = 76 + -58. Calculate the remainder when q is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + h - 4. Let p = h - -1. Find the third derivative of 4*m**5 + 3*m**2 - m**p - 2*m**5 wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-13)\/(143\/(-172040)) + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g - 21133 = 18*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213338130 rounded to the nearest 100000?\nAnswer: 213300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 43421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.8?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19718779, -19718777, -19718775, -19718773?\nAnswer: -19718771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*k - 18 = -0*k, 2*k - 2 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 397 + -351. Suppose 8 + m = -6*v. Which is smaller: -12 or v?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 24 = -3*h - 8*d, -4*h + 2*d - 56 = 0. Let a(z) = 4*z + 56. What is the least common multiple of a(h) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = -16*o - 112 - 133 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**3 + 39*f**2\/2 - 90*f - 72. Suppose g(x) = 0. What is x?\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6242930521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22\/7*l - 8\/7*l**3 + 4\/7 + 26\/7*l**2.\nAnswer: -2*(l - 2)*(l - 1)*(4*l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*(sqrt(11)*1 - sqrt(11)) + -2)*-1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-1\/2)*y*(y**(-4\/7)*y)\/y*y*y**(-2\/9)*y**(-2\/11) assuming y is positive.\nAnswer: y**(3499\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9870218 is divided by 883?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6280.97 millimeters to micrometers.\nAnswer: 6280970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19741 and 756922?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-3)*1)\/(1622\/(-5677))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352024.6 litres to millilitres.\nAnswer: 352024600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -13 + 3 + -6 + 1. Sort -1, q, -3.\nAnswer: q, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140202 + -4230214?\nAnswer: -4420421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 79881.06703 to the nearest ten.\nAnswer: 79880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 68369, 67398, 66427?\n\"Answer: -971*f + 69340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/(-1) - 1815\/165. Suppose 5*l - 123 = -53. Let b be (-4)\/14 + (-52)\/l. Sort b, d, -5 in descending order.\nAnswer: d, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5339387 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/3038445648 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -15, -13, -7, 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 697400 to the nearest ten thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5296 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 2805641852?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 299624.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 + 12*g**2 + 2*g + 11. What is o(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*v + 2*f, -2*f - 7 = -1. Suppose v*m - 5*l + 1248 = 0, 3*m + 2*l + 938 = 2. Let n = 605 + m. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2 + 148*v - 430. What is b(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34.071 - -0.071. Let g = 26.8 + m. Round g to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 25 = 0, -2*n + 312 = 2*v - 4*v. Let x be -3*-20*10\/(-50). Let q = n - x. What are the prime factors of q?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -205 in decreasing order.\nAnswer: 3, 1, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -284 - -124. Is 20 a factor of ((-24)\/(-8))\/((-6)\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**5\/60 + z**4 + 17*z**3\/3 - 3*z**2 + 2*z. What are the prime factors of g(15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*d**2 - 111*d**2 - 17*d**3 - 11*d**3.\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 6*a - 2. Let u be x(-7). Let n(w) = -9*w - 4. Let v(o) = 2*o. Let h(b) = 9*b - 1. Let i(z) = -2*h(z) + 11*v(z). What is u*i(s) + 2*n(s)?\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j + 12. Let h be -18*j*1\/9. Suppose h*a + 23 = 569. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 2*g, -69*q - g + 3 = -74*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120 + -79. Let g = v - 41.00252. What is g rounded to four decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -629 times -1\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-2 + 8 + -2. Suppose f - 1 = 5*w - 11, -4*f + n*w - 8 = 0. Suppose -3*d - 5*t + 252 + 86 = f, -3*d - 2*t = -326. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - 71?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 4*t + 3. Let o be g(2). Suppose -o*y + 5 + 7 = 0. Let r be (6\/(y\/2))\/1. Solve 2*z = r*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196*c**2*f**3*g + 2*c**2*g**2 + 6*c**2*g - 304039384*c*f**3*g**2 - c*f**3*g - 102*f**2 - 2*f - 17*g wrt g?\nAnswer: 4*c**2 - 608078768*c*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 555 + -6 + 4 - 9. Let q = 3810\/7 - p. Which is smaller: 285 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/22 and (7\/252 - 0)\/((-1)\/26)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 28*n + 47. Let p be a(-3). Let u = -33 - p. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 7.82373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94770?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 1)\/(-1) - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -226 (base 13) to base 14\nAnswer: -1c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 672176 = 672127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150229?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12478 is divided by 158.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*y, -3*t = -y - 5 - 1. Suppose 4*x = m - 17 + 44, 4*m = t*x - 30. List the prime factors of (2\/(-5))\/(x\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 - -2.1. What is the closest to 9 in y, -3, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3041*x**2 - 1645*x**2 - 1406*x**2.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from lvqvv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**4\/3 + a**3\/3 + 408*a**2. What is g(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 275 = 13*g + 5*f, -5*g + 3*f = -279. Solve 57*r - 37*r = -g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1263*q = 209*q + 28458 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4834442 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1157 + -1155. Which is bigger: 2361 or u?\nAnswer: 2361","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.2. Let p = -5.1 + s. Let h = p - -7. What is the nearest to -0.1 in 1, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 10. Let h be j(-12). What is the smallest value in -0.4, h, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134017067 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*(sqrt(448) - 3*sqrt(448)*-2)*5*6 + 1)*5)**2.\nAnswer: -336000*sqrt(7) + 7902720025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2)\/(3\/33). Let n(p) = -5*p**2 + 2. Let h(b) = 26*b**2 - 11. Determine x*n(k) - 2*h(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + -2*(-1*sqrt(171) - sqrt(171)).\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*w**4 - 19*w**2 - 2368*w wrt w.\nAnswer: -204*w**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/14 - -5*9\/(-84). Let q = -4\/129 + 30\/43. Which is the nearest to 0.1? (a) q (b) -12 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 2. Let v(i) = -4*i**2 - 4. Let y be -2 - -2 - (-6)\/((-6)\/(-7)). Let s(o) = -o**2 + 11*o - 15. Let k be s(y). What is k*w(g) - 6*v(g)?\nAnswer: -2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 5*q - 4. Let t be a(-8). Let n = -24 - t. Suppose 0 = -n*d - 5*x + 931, d - x - 2*x = 237. Calculate the highest common divisor of d and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -65*j**3 + 3*j**2 - 4*j + 5. Is h(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117 - 106. What is the remainder when 18 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 153 - 108. Suppose 5*n - o = -0*n. Suppose -3*t - 4 = -4*t. Solve -t*x - n + 1 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -12bbc?\nAnswer: 12bbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from xfxfxffxxffxxfxfxxf?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**7\/4620 - j**5\/660 - j**3\/6 - 3*j. Let f(y) be the second derivative of v(y). Factor f(i).\nAnswer: 2*i*(i - 1)*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063006 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*m + 75, 5*m + 3*b - 60 = 32. Let p(u) = 65*u + 27. What is the remainder when p(1) is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/1 + 38\/10)\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3072 = -16*u + 5*k - 1406 - 1235, -2*u + 52 = 4*k for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51732 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/7))**(1\/11)\/(a**5)**(-18))**(-8) assuming a is positive.\nAnswer: a**(-55504\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-3))\/(2\/(-87)). Suppose -4*k + a + 47 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-24)\/(-5712) - (-290)\/306\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(6\/11))**(-1\/19)\/(d\/d**(-5\/2)*d)**45 assuming d is positive.\nAnswer: d**(-84657\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Suppose -3*p - 2*y - y = -3, d*p + y - 11 = 0. Suppose -p*a + 24 = -3*a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*28\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.35 - -170.65. Let y = 310.3 - 128.6. Let q = i - y. Round q to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (19 - 7) - 4) + -11 + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ilwwliiilwdkdwwwml. What is prob of sequence iwd?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*j + 40*j - 20*j)*(j + 3*j - 3*j) to t*j**2 + v*j + f and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = 2*w. Suppose 4*d - 8 = -w*d. Solve -d*j - 1 = 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 - 122. Let r be 2431\/(-26) + (-4)\/8*-3. Let d = w - r. What is the remainder when 54 is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.29 = -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -13 - 29. Suppose 0 = -5*y - 3*q - q + 265, -y = -3*q - 53. Calculate the remainder when y is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3\/140765 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 24*h**2 - 16*h + 20. Let d(k) = 2*k. What is d(i(z))?\nAnswer: 48*z**2 - 32*z + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325\/(799500\/2583)*3\/21*-1.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1701 and 2187.\nAnswer: 15309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 6) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*u - 63, 9*h + 2*u = 5*h + 86. What is the remainder when 193 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.65 + 2.35. What is the biggest value in 3\/4, 1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 6*l**2 - 3*l - 4. What is the remainder when 27 is divided by q(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m - 65. Let h be k(-13). Suppose -5*o + o - 8 = h. Sort o, 0.3, -21 in descending order.\nAnswer: 0.3, o, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/(-44) - (-25)\/4. List the prime factors of (-95)\/(-2) - b\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -120*l. Let p be t(-1). Let h(m) = -9*m - 3. Let k be (-6)\/(-4)*20\/(-15). Let c be h(k). What is the highest common divisor of c and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996d (base 14) in base 5?\nAnswer: 1322212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 17, c: 2}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -5, 0.4, 9, 0.066, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*r**4 - 117*r**3 + 194*r**2 - 108*r + 8.\nAnswer: (r - 2)**2*(r - 1)*(23*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 3:07 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 5)\/(-4 - (-2 + -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**2 - 12*i + 12*i + 0*i**2 - 9*i**3 wrt i.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 59 (b) -0.4 (c) 0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 194, 308, 438, 590?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 18 = -3*x, 4*d + 16 = x - 0*d. Suppose -5*q + 2*o + 796 = 0, -3*o = x*q + 2*o - 650. Let u be ((q\/6)\/4)\/(1\/(-9)). Does -59 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3851 + 3812 + 2 + 3 + 1 + 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 j when three letters picked without replacement from {g: 2, v: 3, m: 1, q: 7, j: 2, l: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2. Let w(q) be the third derivative of -q**4\/6 + 2*q**2. What is w(z(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2. Let o(r) = r**2 - 11345*r - 1. Determine o(v(l)).\nAnswer: 9*l**4 + 34035*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1196 - 1195. Sort m, -63, 5, 3 in decreasing order.\nAnswer: 5, 3, m, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -15, -38, -61, -78, -83?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 10*w + 566. Determine x(-55).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11270421*c**3 + 5635207*c**3 + 5635211*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 319 + 324 - 644 - 4*a + 6*a**3 + 63*a**3 wrt a?\nAnswer: 414*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from uuuhhuuheuuehueeeh.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8044.509ml to litres.\nAnswer: 8.044509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -4\/7, 34, 0.3, -38, 2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from yzzfzfzzfyfyzfy.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/8*((-16)\/12 - -2). Which is the second biggest value? (a) k (b) -93 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 360 + 6712 = 0. What are the prime factors of n?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143894480.\nAnswer: 2, 5, 37, 173, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 329 + -334. Put d, 0, -7 in decreasing order.\nAnswer: 0, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 1, r: 2, j: 2, f: 1, t: 2}. What is prob of picking 1 u and 1 j?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7))**11*(p**(-1\/5))**20 assuming p is positive.\nAnswer: p**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 230736.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 3*v - 4. Let a(c) = 3*c**2 - 5*c - 7. Calculate 4*a(y) - 7*w(y).\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276366 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5494 is divided by 4563?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1179087\/4595 + 1283\/5. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6454 divided by 922?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from ivvjjjjej?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -52*d**2 - 20. Let h(o) = 73*o**2 + 28. Let x(l) = 5*h(l) + 7*r(l). Let k(f) = -1189*f. What is x(k(w))?\nAnswer: 1413721*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 4:20 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54546143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 26 = -2*o, -303*s - 3*o + 35 = -305*s. Suppose 2*k - 13 = -3*h + 7*k, 0 = 4*h - 2*k - 8. Put s, h, 5, 8 in decreasing order.\nAnswer: 8, 5, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 - -22?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.015 - -0.015. Let w = 1 - 6. What is the nearest to 1\/3 in w, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -737 - -736.9999437. What is x rounded to 6 dps?\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98521923.000027 + 98521966. Let d = k + -43. Round d to six dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 0 + 0*n**3 - 2*n**4 + 5*n**2 + 2*n + 2*n**3 - 2 to m*n**4 + l*n + u*n**3 + d + a*n**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 33 + s**3 + 2*s - 2*s in the form c*s**3 + a*s + p*s**2 + q and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*d + 4*b, 13*d - 9 = 14*d - 5*b. Let n(o) = 3*o - 32. Let k be n(d). Suppose k*y - 1006 = 1218. List the prime factors of y.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -9*u + 99 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**6\/120 + 19*g**5\/60 + 11*g**4\/12 - 13*g**3\/3 + 25*g**2. Is 65 a factor of m(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264, 265, 266?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001267623 to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*s - 81*s + 38*s + (-1 + 2 + 1)*(2 + 19*s - 2).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 6*w + 10. Let i be q(-7). Suppose 0*x = i*x - 9. Suppose x*h + 18 = 3*d, 3*d + h = 3*h + 20. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 15 - 5*u + 19 as x + a*u and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q = 5*h + 20, -3*h = -4*q + 12. Suppose 3*i - 13 = -5*g + 7, -g = 3*i - 4. Solve i = -q*v - 4*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r*(r\/r**(2\/9))\/r)*r)\/((r*r\/(r**(3\/8)*r))\/r))\/(r*r\/(r\/(r*r**(-1))))**(-16)*((r**(5\/2)*r)\/(r**3*r))**(8\/9) assuming r is positive.\nAnswer: r**(1379\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -7. Let u be ((-102)\/(-208))\/(-17) + (-2)\/16. Which is the biggest value? (a) u (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15205, 30410, 45615, 60820, 76025, 91230?\n\"Answer: 15205*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -26*c + 78. What is w(7)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/148)\/((-3)\/48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-10) + (-34)\/(-10). Let z(v) = -1 + v - v**2 + 3 - 5 + 4*v. Calculate the least common multiple of z(f) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45 + 53)*(-3)\/(-6). Let t(i) be the second derivative of 3*i + 6\/11*i**3 - 8\/11*i**2 + 5\/66*i**d + 0. What is m in t(m) = 0?\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 1\/11, -1, -132\/7?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46588 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 4, 2\/139?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 8. Suppose 2*l = -10, 2*f - 1 - j = 2*l. Solve 6 = -2*u - f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*c + 38, -2*y - 42 = -5*c + 3*c. Suppose -4*l + c = -3*l. Suppose 0 = 3*o - 93 + 3. Calculate the remainder when o is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1695278455?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*c + 6. Let f(y) = y + 17. Let n be f(-12). Let u be n\/((-30)\/(-27)) - (-1)\/2. Solve -1 = c*z - u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 0 + 2 - 6. Let v be d + (3 + -2)\/1. Let p be (v\/(-7))\/(12\/14). Do 0 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trgigaz. What is prob of picking 1 i and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 1. Let g(p) = -4*p + 14. Let b(x) = -g(x) + 2*u(x). Let f be b(3). Solve -j = -4*j - f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -20. Let z = 64.6 - i. Which is bigger: z or -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6017299*r**3 - 17776492*r**2 wrt r.\nAnswer: -36103794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*f + 2*f + 136, 4*f + 4*b = -112. Suppose t = -4*n + 82, 3*n - 6*n = 5*t - 427. Let m = f + t. Calculate the remainder when m is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-81) - 58\/(-18). Suppose g*m = -2*t + 207, -3*t - 138 = -5*m + 3*m. Suppose -650 = -w - m. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**4\/4 - 3*k**3 + 3*k**2\/2 - 21*k + 17. Let x be l(9). Suppose 0 = 5*n - x*n + 90. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*s**4 + 1280*s**3 + 4010*s**2 + 520*s - 504 = 0. Calculate s.\nAnswer: -2, -9\/19, 2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(260\/67)*10.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 at least as big as -6.3679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835106 is divided by 147?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 4:57 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9744)\/1827)\/(3\/18).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**3\/5 - 22*m**2\/5 + 67*m\/5 + 18 = 0.\nAnswer: -1, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -1 - 3, -8 = -t - 5*s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -610 and 0.036.\nAnswer: -21.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by -11\nAnswer: 68\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2752 - 2706) + 1 + 3 + 1 + -2?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 783616584 divided by 6?\nAnswer: 130602764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -15, -2, -89 in descending order.\nAnswer: -1, -2, -3, -15, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Suppose -77 - 10 + 7 = -40*r. Sort x, r, -2, -1 in increasing order.\nAnswer: -2, -1, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 1\/39685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3774 + -3762. Solve 0 = -i + 5*n - 3, 11*i + y = 7*i - 2*n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*c + 4883 = 3*d - 59*c, 2*d - 4*c - 3252 = 0. What is the remainder when d is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -2) + -9 - 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:53 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-3 - ((1 - -7) + -17 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*w = 91*w - 377 - 251 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20169 is divided by 3171?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 2600 = -19*w. Calculate the highest common divisor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 851832 and 272?\nAnswer: 28962288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 11\/2, 0.3, -2\/3, -148?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-26)\/(-4))\/(5 + 84\/(-16)). Let p be (s\/(-39))\/(4\/378). What is the highest common factor of 42 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c - 95*c = -74*c + 560 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62*r - 387 wrt r.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -212, 30214, -2 in descending order.\nAnswer: 30214, 5, 2, -2, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -6 - -6 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 6*d**2 + 2*d**2 + (-6*d + 4*d + d)*(d + d + 0*d) + 79*d - 79*d - 11*d**2.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 2*v - 13. Suppose 11*q - 67 = 65. Let u = 6 - q. Let m be s(u). Calculate the highest common factor of 99 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**5\/300 + 3*n**4\/4 + 135*n**3\/2 + 85*n**2 + 86. Let b(p) be the second derivative of t(p). Factor b(s).\nAnswer: (s + 45)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - (-11 - 137156))\/(-2 + 4)?\nAnswer: 5, 11, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152337 and 728076?\nAnswer: 2174763012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -0.2, 5, 100?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(112) + -2*sqrt(112)*-4 - -1*(4 + sqrt(112) + sqrt(112))) + -3)*-6)**2.\nAnswer: 269280*sqrt(7) + 12207204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k - 69. Let b be u(-14). What is the nearest to b in 0.2, 3, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-784)\/(-10) + (-6)\/(-10). Suppose -v*r - 48 = -82*r. Let g be (r\/14)\/((-8)\/(-28)). Put -3, 0, 3, g in increasing order.\nAnswer: -3, 0, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = -4*g. Suppose d = g*p + 11, -2*d - 5*p = 2*d + 7. Suppose d*l - 26 = -4*y, 0*l + 4*y + 23 = 5*l. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1539) + 1) + (sqrt(1539) - (-2 + sqrt(1539))*-2)**2 - -6*(-5 + -3*sqrt(1539)*1).\nAnswer: -414*sqrt(19) + 13833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((2 + sqrt(5)*1)*-2 - (sqrt(245) + -4 + sqrt(245)*-1 + sqrt(245) + sqrt(245)))*5)**2.\nAnswer: -480*sqrt(5) + 32009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 287576, 3\/4, -2, 0.1, -4 in decreasing order.\nAnswer: 287576, 3\/4, 0.1, -0.2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04772 + 0.06772. Which is the closest to -0.1? (a) 1 (b) l (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -758, -1219, -2028, -3185, -4690, -6543?\nAnswer: -8744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 - 3*h - 6*h**2 - 3 + 4*h**4 + h**3 + 8*h**2 - h**4 to m + u*h**4 + f*h**2 + l*h**3 + r*h and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6*k = 2*o - 115, k = 4*o - 223. Suppose j + 3*j + o = 0. Let l = -9 - j. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1866 - 722 = -143*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3364470 and -0.04?\nAnswer: 134578.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2) + 3 + -3 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = 6*v - 4*v + i, 2*v + 4*i = -192. Let a = v - -109. Suppose a*k = 831 + 233. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4806 greater than or equal to 4809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/41, 1\/5, -2\/141, -4\/7?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 0 - 12*s - 5 + 3. Suppose -83*b - 203 = 23*b + 433. Does 14 divide k(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - i + 8. Let g = -21 + 27. Let l be w(g). Suppose l - 100 = -2*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**5\/60 - 17*h**4\/24 + h**3\/3 + 7*h**2. Let v be o(-17). Factor 2\/9*i**v + 2\/9*i**3 + 0 + 0*i.\nAnswer: 2*i**2*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39303931 is divided by 9825981.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, c: 1, m: 1, h: 1, z: 4}. Give prob of sequence gm.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*i = -32, -2*i + 16 + 8 = 4*a. What is the remainder when 6 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601680 a multiple of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001077913 to 7 decimal places.\nAnswer: -0.0010779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -53778, -107558, -161338?\n\"Answer: -53780*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 2*f + 5*f)*(3 - 5 + 5)*(4*f - f + f) to w*f**2 + u*f + m and give w.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20036, -11522, -3008, 5506, 14020, 22534?\n\"Answer: 8514*u - 28550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 48, 145, 288, 477?\n\"Answer: 23*j**2 + 28*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124 + 238. Let t = -112.5 + u. What is the third biggest value in 1, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3563 > 1\/78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1414347.7 or -2\/5?\nAnswer: 1414347.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 127 or 119?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1827 (b) 0.5 (c) -2\/7 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*f**2 - 12*f**2 - f**3 + 4*f - 18*f**2 + 66*f**2 + 3*f**4 - 2 - 21*f**2 in the form d + c*f**3 + a*f**2 + z*f + p*f**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(96))\/(sqrt(128) + sqrt(128) + (-2*sqrt(128) - sqrt(128))).\nAnswer: -sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956844453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 11*v**4\/12 - 3*v**2. Let x be -54*(-2 - (-25)\/15). Let o(m) = -x*m**2 - 22*m**2 + 42*m**2. What is o(d(p))?\nAnswer: 968*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**2)\/i**(-2\/9)*(i\/(i*i**(-2\/13))*i*i)\/(i*i*i**(-2\/13)) assuming i is positive.\nAnswer: i**(62\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 t, and 1 i when three letters picked without replacement from {s: 2, i: 4, a: 9, t: 1, p: 3}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2537 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-6) - 1)*(-10)\/20. Let z be ((-3)\/(-6))\/(6\/4). Sort -1, o, z, 0.2 in decreasing order.\nAnswer: z, 0.2, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38981.\nAnswer: 17, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 459800 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-512)\/88 + (-4)\/22. Let j(h) be the first derivative of 7*h**3\/3 + 1. Let t(n) = 6*n**2. Give c*t(k) + 5*j(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -95*k**2 + 0 - 19 + 19 - 51*k**2. Let g(m) = m**2. Determine c(g(p)).\nAnswer: -146*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n - 77 = -252 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 1\/72*x**4 + 1\/90*x**5 + 0*x - 1\/360*x**6 + 0 - 5*x**2 - 1\/9*x**3. What is l in q(l) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5725, 11451, 17177, 22903?\n\"Answer: 5726*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (19 - 9) - -13\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5432\/354 - 2)\/(981\/(-27) + 35) - -10?\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t = -15*t + 1131. Let g = 1 - -14. What is the remainder when t is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19614.999967181 + -19615. Round w to 7 decimal places.\nAnswer: -0.0000328","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3 - 362*o**2 + 10531*o + 1549352 = 0.\nAnswer: -379, -56, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -7\/27642977 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -20*i + 9. What is the units digit of h(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + sqrt(3200)*-2)\/(sqrt(1000)*-1) - (-4 + sqrt(20) + 1 + 2).\nAnswer: -sqrt(5)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.27 - -0.77. Which is the nearest to -1? (a) 0.01 (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*k = -0*k + 12, 4*h - 2*k = 10. Suppose h*b - u = -2*b - 7, b - u - 1 = 0. What is the remainder when (-3)\/(18\/111)*b is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 5)*((-1603251)\/54 + -14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Suppose -p*g + i = -0*i - 4, 3*i = -5*g - 12. Let d be (-2)\/9 - 10\/144*-14. Is g equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 8*r**2 + 35*r + 12. Let x be j(-4). Suppose 3 - 1 = t. Solve t*y = -x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6217 (base 10) in base 15?\nAnswer: 1c97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-9))\/((-72)\/(-27))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -39. Let l be 1\/(-1)*(-6)\/(c\/(-2935)). Suppose 0 = -18*y + 19*y - l. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = t - 4*l - 0*l, 3*l = -t + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b*b**0))\/b**(-5))\/(b**(-3\/5)*b**5))**28)**46 assuming b is positive.\nAnswer: b**(3864\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4 = -w - 1, 3*w + 15 = -5*h. Solve 9 = 3*o - h*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 - 178. Let h(n) = -4*n**2 - 6*n + 2. Let u(o) = -5*o**2 - 9*o + 3. Let w(t) = 3*h(t) - 2*u(t). What is w(k(b))?\nAnswer: -8*b**4 - 1424*b**2 - 63368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 161295564 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.008 - 0.462. Let l = -0.07 - v. Let x = -71\/9 + 8. What is the biggest value in -1, x, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800) - sqrt(1800)*1 - sqrt(1800) - sqrt(1800))\/(sqrt(216)*-2 - sqrt(216) - sqrt(216)).\nAnswer: 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82151.9946 + -82163. Let w = 11 + s. Round w to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74620\/11760 - 136\/11424.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(((-4)\/(-6))\/((-8)\/6)). Suppose -r = 4*i - 36, -2*i - r - j + 22 = 0. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3880 + 3880.00018738. Round i to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 5*q + 1. Let p(l) = 3*l**2 + 9*l + 2. Determine 4*p(r) - 7*v(r).\nAnswer: -2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.42 + -35.58. Let x = -45 - s. Let y = 9.0056 + x. What is y rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28084 (base 12) in base 8?\nAnswer: -154144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-232))\/((-3)\/(-48)*-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*w - 35*w = 240. Suppose w*x = -29*x + 2205. Let f(z) = z**2 + 5*z. Let c be f(5). Is c bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -73, -82, -95, -112, -133, -158, -187?\n\"Answer: -2*c**2 - 3*c - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -151.9 + 146.9. Which is the third biggest value? (a) 0.263 (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*a - 31*a = 18. Let f(z) = -z + 5*z**2 + 59 - 66 - 6*z + z**3. Let d be f(-6). Put a, -19, d in descending order.\nAnswer: a, d, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/2432 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {y: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0307178 rounded to 3 decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/2, -2\/7, 3.\nAnswer: -3, -2\/7, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51736 and 5568?\nAnswer: 1241664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -366*t + 257*t - 3052. Suppose 0 = -2*g - 8 - 0. Let x be (t\/(-6) + g)\/((-4)\/(-126)). Calculate the highest common factor of 49 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7249*g**4 - 7952*g**4 + 14210*g**4)*(4 - 2 - 3)*(0 + 0 + 2).\nAnswer: 1982*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75.0301 - 75. Round f to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -493.9 - -490.9. Let w(u) = -u**3 - 6*u**2 + 8*u + 3. Let q be w(-7). Let l be q\/((-156)\/(-111)) + 3. What is the fourth biggest value in 3, x, l, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, z: 5, k: 3}. What is prob of sequence zk?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**5\/20 - g**3 - g**2\/2 - 21*g. Let l be a(-3). Let i(r) = 380*r. Let j be i(l). Round j to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3423 smaller than 3423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -25 - 130. Find the common denominator of b and -81\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 + 99 = -8*v. Let j be 0*4\/8 + v + -7. Solve -2*r - 5*s - 28 = r, s = -j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of -135*(-11)\/((-132)\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380169405 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272)*-2)**2 + 3)*2 - (sqrt(17) + 2 + 4 + (4*sqrt(187) - sqrt(187))\/sqrt(11)))*5.\nAnswer: -20*sqrt(17) + 10880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68850 and 550?\nAnswer: 757350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n - 5*n + 3 - 3*n - 3 - 2*n + 4*n + n + (4 - 4 + 2*n)*(-3 + 0 + 2))*(-1 + 1 + 2)*(2*n + 0*n - 3*n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(28\/(-63)) - (3 + -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71\/30 + 13\/6. Let f = 7\/23 + -31\/253. Let y be 3 + -1 + 3 + -3. What is the smallest value in a, f, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1121 and -990.\nAnswer: 1109790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -592 less than -1184984309?\nAnswer: -1184983717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-2 - -5) + -4 + -39 + 7?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.27 + -2.17. Let g = c + 0. What is g rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -810*g**3*q + g**2*q - 3*g*q - 52*g wrt g.\nAnswer: -4860*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 - 1056*r + 19980. Determine b(-370).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 225, 467, 727, 1011, 1325, 1675, 2067, 2507?\n\"Answer: q**3 + 3*q**2 + 226*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3693*f = 629*f + 169388 + 238124 for f.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 2*q. Let g be (q - 1)\/2 + 3. Let a(w) = 2*w**3 - g*w**2 - 3*w + 7*w - 10 + 7. What is a(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 173806 and 20492.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v - 19*v + 23*m = -21*m + 42*m - 72, m = -9*v - 231 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41990 is divided by 5749?\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 + 2*l - 2*l + (-9 + 4*l + 9)*(0*l + 0*l - 2*l**3) + 2*l**4 - 2*l**4 - 2*l**4.\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 25454 + 3*v + v**3 - 7*v**2 - 11*v**2 - 25463 + 12*v**2. Determine d(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + 15. What is the highest common divisor of z and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -180 + 179. Let f be 1\/3 - (s - (-448)\/(-24)). Solve -f = -5*a - 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1057, 2115, 3171, 4225, 5277, 6327?\nAnswer: 7375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d + 28. Let j be u(13). Suppose -f - 5*b = -4*f + j, -8 = 3*f + 5*b. Let v be (16\/102)\/(4\/(-6)). Which is greater: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1066164 (base 7) to base 13.\nAnswer: 49119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/1232 and 41\/560.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6100*n**3 - 6802*n**2.\nAnswer: -36600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43148?\nAnswer: 2, 7, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 476*r**2 + 32*r**3 - 479*r**2 - 11*r**3 to q*r + u + h*r**3 + g*r**2 and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -467 - -465. Which is the second biggest value? (a) 0.01 (b) h (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -903.\nAnswer: -2\/903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 1. Let f be 8\/5*15\/6. Let z(j) = 0*j**2 + j - 5*j**2 + 0 + 1 + f*j**2. Let s be z(0). What is c(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.245 - -0.07. Round h to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*f - f, -3*s = -f - 10. Suppose 5*n - 115 = -5*m, s*m + n = 5*n + 88. What is the greatest common divisor of 20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4529, 1 in decreasing order.\nAnswer: 1, -2, -4529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)*i*(i**(1\/8)\/i)\/i*i)\/(i*i\/i**(-1\/4)*i)**(2\/17) assuming i is positive.\nAnswer: i**(-43\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 8:40 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -268*o. Let n(r) = -994*r - 539. Let f(s) = 13*s + 7. Let i(u) = 154*f(u) + 2*n(u). Determine z(i(h)).\nAnswer: -3752*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1359225 to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -84, -47 in ascending order.\nAnswer: -84, -47, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169327 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16765292 to the power of 1\/2, to the nearest integer?\nAnswer: 4095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 89\/6, -340, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-7) + (-39372)\/(-119) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*q + 24*q - 12*q)*(-37 - 38 - 49).\nAnswer: -5704*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 s when four letters picked without replacement from sfsfsfssss.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z - 154 = -5560. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 3*k. Let a(f) = -f**2 + 5*f - 1. Let r = 196 + -193. What is r*a(y) - 5*v(y)?\nAnswer: 2*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*s = 11*o - 95*s - 23, 5*s + 53 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53873664.\nAnswer: 2, 3, 13, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 497*w - 495*w - 768. What is the remainder when w is divided by (-4)\/6 + (-699)\/(-9)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -44, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*-109981.282\nAnswer: 219962.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 39313762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44110 and 57343.\nAnswer: 573430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 0*v**2 - 3*v**2)*(1 + 17 - 5) + (5 + 1 - 4)*(7 + 4*v**2 - 7).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 2160?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 1\/2 (c) 9301950 (d) -3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + x. Let d be a(-1). Suppose -2*w + 4 + 2 = d. Solve -4*g + y = 5*y, 4*y = w*g - 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/9*12\/16. Which is the nearest to x? (a) -2 (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -13*i**3\/6 + i**2 + 124*i. Let f(v) = 16*v**2. What is b(f(g))?\nAnswer: -208*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u. Let g(v) = 208*v. Give r(g(p)).\nAnswer: 1872*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.727 + -3.927. Sort -219, r, 2\/7 in increasing order.\nAnswer: -219, r, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38265105, 38265107, 38265109, 38265111?\n\"Answer: 2*j + 38265103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32140 divided by 6428?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1.999936. What is r rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/344 and -101\/4952955.\nAnswer: 39623640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-201)\/(-3504))\/((-3)\/6) and -1\/18.\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 41*m**5\/60 - 19*m**2\/2 + 39*m. Let v(i) be the first derivative of n(i). Let u(q) = 2*q. Calculate u(v(b)).\nAnswer: 82*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001239 rounded to 5 decimal places?\nAnswer: -0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 9:51 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/30 + (-134)\/(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -13*i**2 + 2677*i - 5359. Calculate c(2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, 1, -7 in ascending order.\nAnswer: -7, 1, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)\/n)\/(n**(-13)*n)*(n*n**(-2\/31))\/n*n\/n**(-2\/7) assuming n is positive.\nAnswer: n**(1133\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 127760207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 11*c**2 - 21*c - 49. Calculate u(13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 5:21 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, 3, 4, -3 in ascending order.\nAnswer: -3, 3, 4, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*r**3 + 33*r**2 + 271*r + 35366317 wrt r?\nAnswer: 117*r**2 + 66*r + 271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -379 - -379. Suppose t - 952 + 293 = -2*l, -t - 1 = p. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7271.\nAnswer: 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 - 623112*p\/5 - 33053026.\nAnswer: 2*(p - 311821)*(p + 265)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -28. Let x = 7 + -6.5. Sort k, -1, x.\nAnswer: -1, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -863 at most as big as -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/43 (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2. Let k be t(1). Let c be (3 - k) + 1 + -2. Let a be 5\/(10\/12) + c. Solve -16 = a*r - s, -5*r - 8*s - 20 = -3*s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 482 + 74. Let n = 341 + o. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -8241265?\nAnswer: 8241265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from znzznnnzzznzzzzznz?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.51 minus 0.4?\nAnswer: 58.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*((-145)\/25 - -4) + -7. Let j(v) be the second derivative of v**4\/3 - v**3\/6 - v**2 - v. Give j(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4218.\nAnswer: 2, 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -46268 (base 12) in base 5?\nAnswer: -10444210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -2*b**3 + 0 - 1\/4*b**4 - 6*b - 9\/2*b**2. Solve s(q) = 0 for q.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h + i = 5, 0 = -2*h + 2*i - 6. Let v be 1*(1 - (h - -2)). Let u = 23\/468 - 1871\/28548. Which is smaller: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1177956245.9 rounded to the nearest ten thousand?\nAnswer: -1177960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, a: 2, f: 7, y: 2}. What is prob of sequence ydaf?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/12 - -4) + -11.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 244527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199980979 - 7*s + 399961950 - 199980971.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 123*c + 1300. Determine z(-55).\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -216*q**5 + 5*q + 11?\nAnswer: -4320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 244380802 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 111968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/34 (b) -166 (c) -1\/6 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -122951*v**4 - v**3 - 2*v - 4469464 wrt v.\nAnswer: -491804*v**3 - 3*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/42)\/(4\/2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f - 20 = 0. Suppose -22 = 3*k - 2*w, -f*k + 5*w - w = 28. Is -8 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6584548.\nAnswer: 2, 163, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -44047348 divided by -4?\nAnswer: 11011837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**3 + 217400*u**2 + 434788*u + 217392 = 0?\nAnswer: -54348, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/13 + 197460*k\/13 - 4873806450\/13 = 0 for k.\nAnswer: 49365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 485*p**2 + 1. Let w(o) = -5766*o. What is w(b(x))?\nAnswer: -2796510*x**2 - 5766","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 + -72. Is (170\/30)\/(k\/(-1101)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-15)*3 + 1040\/(-100). Let p be 153\/45 - (-4)\/r - 1. What is the second derivative of -23*x**4 - p*x**4 + 30*x - 4*x - 3*x**4 wrt x?\nAnswer: -336*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -247*s**3 + 3*s**2 - 2*s - 6. Calculate d(-2).\nAnswer: 1986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqe when three letters picked without replacement from qheeehhh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/20)\/(105\/504*-28)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*j - 34*j - 8*j**2.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 816 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + t**2. Let j(n) = -7*n**3 + 6*n**2 - n + 3. Give -5*a(s) + j(s).\nAnswer: -2*s**3 + s**2 - s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06 - 0. Let m = -0.12 + -13.78. Let k = m + 14. Sort 1, a, k in increasing order.\nAnswer: a, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 13, h: 5}. What is prob of sequence hh?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 4 + (5 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 14. Suppose 4139 = 2*m + s + 2*s, 4136 = a*m + 4*s. Suppose -3*u - 206 = m. Round u to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g + 720 = -u, 5*g - 735 = 4*u. Solve -g + 167 = 6*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8042 - 5176 = -6*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m - 11 = -2*v, -17 = -5*v - m. What is the third derivative of -2*w**6 - 2*w**2 - 2*w**4 + 2*w**v wrt w?\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -10*f**3 - f**2 + 2*f + 2. Let z be b(-1). Suppose -4*m + z*m - 10 = 0. Solve m*a + 2*a = -16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85884 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5\/11 + 36*k**4\/11 + 64*k**3\/11 = 0. Calculate k.\nAnswer: -16, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2528 and 14327203?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 5*u - 3*k - 27, -30 = 3*u + 3*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 + 67. Suppose -2*r + 872 = 4*o, -3*r + y*o = o - 1358. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 + -2 - ((9 - 1) + (20 - 7) + -15).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(6\/(-30)))\/((-140)\/112)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 600067 (base 9) in base 16?\nAnswer: 56833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/25 - -12\/25. Suppose -4*u = 2*u - 1284. Let w = -2780\/13 + u. Sort p, w, 4.\nAnswer: w, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + j**3 - 4 + (2 + 2*j**2 - 2)*(-2 + 2 + j) + 0*j**3 - 3*j**3 + 2*j**3 + 0*j + 0*j - 3*j**3 - 5*j**3 - 7*j**3 - 4*j**3 + 20*j**3 - 170 + 170.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 465 and 2976.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*r - 96*r**3 - 4*r + 11*r - 2*r**2 - 24*r + 5*r in the form b + l*r**2 + d*r**3 + m*r and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/13 (b) 0.1 (c) 0.02 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4234599 is divided by 478.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 7:14 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*g - 811 = 0, 0 = s - 3*g + 123 + 159. Let r be (-3)\/(-3) - s\/9. Let m = -30 + r. Which is the nearest to m? (a) 5\/3 (b) 3 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 21*t - 76. Let x be y(-16). Solve 3 = d - v, 5*d = -x*v + 19 + 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:04 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(75) + sqrt(3)*-3 + 5)**2.\nAnswer: 120*sqrt(3) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1479 and 348?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*m + 111064 = 2449*m + 5229*m - 157712 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1322022, -2644059, -3966096, -5288133, -6610170, -7932207?\nAnswer: -9254244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 12\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 + 4*c**4 - c**4)*(82*c + 131 - 131) + c**5 + 12*c**3 - 12*c**3.\nAnswer: 165*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37911890?\nAnswer: 2, 5, 3791189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -12. Let r = w - 6. Let m be 6\/(-8) + 1\/(-4). Which is smaller: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-8 + 8)) + -14 + (-2 - 4)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2677004 is divided by 855.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 32 - 353*y - 15 + 100*y.\nAnswer: -253*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 21*m - 294. Let h be j(13). Suppose 3*v = 2*s + 116, 4*v - s + 0*s - h = 0. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + t**2 - 33*t - 20. Let o be n(-6). Let i(m) = -m + 2. Let r(u) be the first derivative of 3 + 15\/2*u**2 - 33*u. What is o*r(a) - 33*i(a)?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -2135 and -2140 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = 0, -2*o + 3*o - 7 = 2*a. Is o equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*w**2 + 50*w**2 - 140*w**2 + 45*w**2.\nAnswer: 88*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 3:28 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 + 2*j**2 + 6 - 10 - 4*j**2 + 12*j.\nAnswer: -2*(j - 5)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (330 - 330 - 657*b)*(2*b - 2*b + b + b - 2*b + 3*b + (1 + 0 - 3)*(0 + 2*b + 0)).\nAnswer: 657*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-5) - 3\/(-45). Let d = 232.9 - 232.9. What is the closest to d in -0.6, -1\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -3*i - 6*t - 13 - 6, 3 + 0 = 6*i + 3*t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1695 (base 15) to base 11.\nAnswer: 3723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 125 - 161. Let c(x) = -x**2 - 18*x + 1. What is the tens digit of c(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*p + 50, -5*p = -3*p - 4*z + 36. Are -13 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2 = 0, -72*n + 41 - 16 = -4*x - 23*n for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 358216368 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*d + 8. Let y(w) = -w**3 + 3*w - 13. Let s be y(-3). Let g(f) = f**2 - 4*f + 5. Calculate the smallest common multiple of d and g(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*k - 5*o + 20 = 97*k, 5*o - 25 = 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 7:51 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 2:08 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 0, -3, -51 in decreasing order.\nAnswer: 0, -4\/7, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t = -4. Let f be (-4)\/16 + t\/4. Suppose -20 = -f*k - 5*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4449059 by -5.\nAnswer: -4449059\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89 or -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 11:10 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 720 = -2626*z + 2641*z. Calculate the highest common factor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 12:01 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 16*h**2 - 14*h + 12. Let l be (3 + (-4 - -4))\/(2\/(-10)). Let o be z(l). Do -1 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 719*g**2*o**2 - g**2*o + 1689*g - 14*o**2 + o wrt o?\nAnswer: 1438*g**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4 + 66754*l**3 + 1113489969*l**2 - 17828658320*l + 71331726400 = 0. What is l?\nAnswer: -33385, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 9:36 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 - -0.53. Let k = 0.39 - 355.39. Let l = k + 354. Which is the biggest value? (a) l (b) -0.7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13586607*d**2 + 1773814*d wrt d.\nAnswer: 27173214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001432244 rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - y**4 - 3*y**2)*(0 - 8 - 7) - y + y + y**4.\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-10)\/(-25))\/(2\/10). Suppose t = -n, -4*t - 37 = z - 6*z. Let u(j) = 13*j**2 - 7*j + 5. Let p(y) = -20*y**2 + 11*y - 8. What is z*p(o) + 8*u(o)?\nAnswer: 4*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 - 3)\/((-16)\/(-88)). Solve -s = -5*f - 33 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441) - sqrt(49))*2)\/(sqrt(112)*3 + sqrt(112)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 88867.82 minutes?\nAnswer: 5332069200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (-2*sqrt(78)\/sqrt(6) - sqrt(13)))*6.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z + z - 3*z + (-3*z + 7*z - 8*z)*((0 + 0 + 2)*(0 - 5 + 4) + 2 + 6 + 0).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*b**2 + 57*b**2 + 1096 + 105*b**2 with respect to b.\nAnswer: 228*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/7 + 4608*l**2\/7 + 9210*l\/7 + 4604\/7.\nAnswer: 2*(l + 1)**2*(l + 2302)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14916 - 14627. Let p be 51*(2 - 5\/3). Calculate the greatest common divisor of i and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20777680 to the nearest integer?\nAnswer: 4558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -207 - 304. Let s = r - -688. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31, 215, 705, 1657, 3227, 5571?\n\"Answer: 26*q**3 - 3*q**2 + 11*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -19. Suppose 0 = -0*m - m + 60. Calculate the greatest common factor of m and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 51\/5 of a decade?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.048, -0.2, -5?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 160145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iisfeiiz. Give prob of picking 3 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*x = 7*x + 314084, -2*a + x - 157046 = 0. Is 9\/(-12) - a\/24 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*f + 14. Let t = f + -12. Suppose -l = -t*l. Let y(s) = s**3 + 8. Calculate y(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1895*j**2 - 45*j - 650. Let b be r(41). Round b to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -101.679919 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1166562 and 272403.\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 806985 and 5675?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78789 and 519.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1831 or 0?\nAnswer: -2\/1831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-10)*115\/(-69).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 36 = 25*n - 48*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 + 845. Round t to the nearest ten.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26004923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**3 - 132009*b**2 - 3167784*b - 19005840 = 0.\nAnswer: -131985, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 - 7)\/(1*2). Let i = z - 2. Is (i - 0)*-1*373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-18 + (0 - -12))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, y: 5, m: 7}. What is prob of sequence yy?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/(-42) - 1520\/10640)\/((-16)\/6 + -1)\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, e: 11}. Give prob of picking 3 e and 1 p.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/(42*(-9)\/(-432))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 170 - 6*y - 170 + 36*y to q*y + b and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 4 (b) 81 (c) -1\/2 (d) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 506\/7, -3, 5\/4 in descending order.\nAnswer: 506\/7, 5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 914106.66 to the nearest one thousand.\nAnswer: 914000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*c = -100*c + 79*c - 11861 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b - 3*b + 2*b + 5*b - 8*b - 3*b - 5*b + 0*b + 6*b + (2 + 1 - 5)*(2*b + b - 4*b) + 3*b + 2*b - 3*b + 5*b - 12 + 12 to f + k*b and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((-3)\/(-8))\/(36\/(-48))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 + 66*d - 1. Let o be x(-33). Let g(f) = -17*f + 1. What is g(o)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 0 + 0*n**3 - 10*n**2 + 0*n - 1\/12*n**6 + 9\/20*n**5 + 1\/105*n**7 + 0*n**4. What is the third derivative of l(f) wrt f?\nAnswer: 48*f - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a\/(a**(-1\/4)\/a)*a)\/(a**(-2)*a)*(a**(-3\/2))**(-3\/13) assuming a is positive.\nAnswer: a**(395\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/23269 - 6189644\/349035. Let p = n - -52\/3. Which is the smallest value? (a) 2 (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19883 + 20000. What is the remainder when 1395 is divided by q?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/(k**(-2\/7)*k)*k)**48*(k**(1\/2))**(-1\/9) assuming k is positive.\nAnswer: k**(19865\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z. Let o(h) = h**3 - 6*h**2 - h + 1. Let g(b) = -b**3 + 9*b**2 - 2. Let w(u) = -2*g(u) - 3*o(u). Give -5*j(k) - 2*w(k).\nAnswer: 2*k**3 + 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 + 3*a. Let w(m) = m**2 + 5*m - 1. Let q(j) = -2*d(j) + 3*w(j). What is q(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 7\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5276306?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90938*h + 91214*h + 3036 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 59 and 3.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-276)\/(-690)*(50\/12)\/1\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 + -48. Suppose -u = -4*c + 4*b, c = -4*c + 3*b + 28. Suppose -33 = -c*n - 3. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away 6.2168?\nAnswer: 2.7832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 458.\nAnswer: -137.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 14*p + 7. Let k be q(14). Let r = k - 7. Let i(s) = 2*s**3 - 2*s**2 - 3*s + 4. Let y be i(2). Solve -5*l = -4*z + y, -2*z - z + 12 = r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2513 is divided by 1252.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7455074?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 16 + 0*p**3 + 6\/5*p**5 + 0*p**4 + 0*p - 9\/2*p**2. What is the second derivative of s(w) wrt w?\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 16*i + 15. Let a(q) = 8*q + 8. Let r(g) = 5*a(g) - 3*k(g). Differentiate r(h) wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/3 and 27\/1375?\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = -5. Solve -5*t = -10, -3*g = s*g - 5*t + 25 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1036506 by 6.\nAnswer: 172751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02417627219 to 6 decimal places.\nAnswer: 0.024176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021100 (base 3) in base 12?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -39. Let f = 13 - u. Let t(w) = 5*w**2 - 3*w. Let h be t(-3). What is the greatest common factor of h and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/9)\/k)**41*(k**28)**(-41) assuming k is positive.\nAnswer: k**(-10783\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, x: 5}. What is prob of picking 3 x?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -116\/35?\nAnswer: -116\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3234 divided by -1?\nAnswer: 3234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 847048.7 to the nearest one hundred.\nAnswer: 847000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 8:05 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from {b: 1, m: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.014 - -0.0206. Round w to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and (0 - 0) + (17 - 11)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1 (c) -311 (d) -5 (e) -1\/3 (f) -118\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -38384*s + 14515213 - 14515213 + (-3 - 3 + 4)*(4*s - 2*s - 4*s) as a*s + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -28, -30, -32, -34, -36?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a**2 + 2*a)*(a**3 - 4*a**3 + 4*a**3) + 6*a**5 + 73*a**4 - 73*a**4.\nAnswer: 8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c = -19*c + 21. Let m(p) = 3*p**2 + 6*p - 7. List the prime factors of m(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 0*p - p)*((0*p - 3*p + 2*p)*(2*p - 2*p - 2*p) + (0 + 4 - 3)*(-51 - 48*p**2 + 51)).\nAnswer: -46*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 35, 3, -69, -193, -381, -645, -997?\nAnswer: -1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 31\/3*i**3 + 11\/4*i**4 - 4*i + 8*i**2 - 1. Determine b so that u(b) = 0.\nAnswer: -2, -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14 from -120.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -51\/8, -5, -4\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-4))\/(39 - 41). What is the closest to -0.1 in 20, j, 8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*g = r - 199, 2*r + 14 = 1317*g - 1320*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 divided by 365.\nAnswer: 67\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/81, -410, -7?\nAnswer: -410","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 447, 1421, 3045, 5319, 8243, 11817, 16041?\n\"Answer: 325*u**2 - u + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 1) + 8\/(-8). What is the derivative of 2*y + 9 - 4*y**2 - m*y + 2*y**2 wrt y?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -7 + 9\/((-72)\/(-1688)). Calculate the highest common divisor of 128 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 - 41 = 4*z. Let j = z - -193. Is 26 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3310 divided by 26?\nAnswer: -1655\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40249*t**2*w + 56*t*w - 11*w + 1 wrt t?\nAnswer: 80498*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*sqrt(96))\/(sqrt(242) - (sqrt(242) - sqrt(242)*-4)) + -4)**2.\nAnswer: -24*sqrt(3)\/11 + 1963\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6333.\nAnswer: 3, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-80)\/10*(1*-31 - -2). Is -8 + 9 + t*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/11*(-47)\/94\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x = -175. Let i be (3\/(-6))\/(x\/20). Let h be (-2 + 0)\/((-2)\/4). Which is the biggest value? (a) h (b) i (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6911999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/4824324 and 47\/147872.\nAnswer: 38594592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 206, 202, 196, 188, 178, 166?\n\"Answer: -r**2 - r + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 733 divide 9940213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206 + 562 - 830 = -79*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*b = 33, 2*b - 39 = -3*q - 3*b. Find the first derivative of -9*r - 11*r - 6 - q - 4 wrt r.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 2:44 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (0 - 1 - -2). Let x be 0\/((-9)\/(-3))*a. Let m = -1429\/9 - -159. What is the nearest to x in m, -3\/8, 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 16*m + 50 = 0. What is the remainder when m is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -468 + 663. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 9:57 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*c + 1811 = 134*c - 3121 - 1118 for c.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641877399 to the power of 1\/3, to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691695 is divided by 57637.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 3*g**2 - g - 3. Let x = 3 + -6. Let i be s(x). Which is the nearest to -1? (a) 4 (b) i (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8551755151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*x - 12*x + 483803 = 95*x. What is the greatest common factor of 136 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 3*o**2 - o**2)*(-4*o**3 + 0*o**3 - o**3).\nAnswer: 15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 2*x + 2*x)*(-57*x + 172*x + 401*x).\nAnswer: -1548*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -718 * 0.07\nAnswer: -50.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/9*(1 - 1). Let t(m) = -m + 24. What are the prime factors of t(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213236 - -1.285.\nAnswer: -213234.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5151727 is divided by 24183?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*b**2 + 0)*(6*b**2 - 3*b**2 - 117 - 4*b**2).\nAnswer: -2*b**4 - 234*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**2\/4 - 487260327*q\/2 - 79140875422715643\/4 = 0. What is q?\nAnswer: -162420109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*i - 425 - 612, 0 = -4*i + 2*a + 832. What is the greatest common factor of i and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2686 - -2?\nAnswer: 2688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:12 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4 + 16*b + 6 + 3 - 6*b.\nAnswer: 10*b + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 15*z**2 + 15*z + 411. What is the remainder when 909 is divided by l(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 3*s - 48. Let g be 2 - (-1)\/(1\/1). Let a = s - g. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - a = -4121, -2*z - 20613 = 3*z - 3*a. Let y be 2\/((-11)\/(z\/(-10))). Let t be (-5 + y\/(-10))*8. Solve -3*w - 2*w = t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1\/2, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 38 (c) 4 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 5*v**2 + 2*v - 5. Suppose -2*f = 4*p - 24, -1 = p - f - 4. Let l be z(p). Solve 0 = -l*h + 25, 3*r + 2*r + h = 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**3 + 124*d**2 = 0.\nAnswer: -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.25407 and -5?\nAnswer: 1.27035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 1:42 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 2*q - 4*q. Solve -5*d + 3*i + 22 = 0, 4*i - q = -4*d + i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)\/(sqrt(12) - sqrt(48)) - sqrt(35) - -4*(sqrt(35) - sqrt(2835)))\/(5*sqrt(4032)*-6))**2.\nAnswer: 289\/25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*d**0*d)\/(d**(2\/7)\/(d**(-1\/7)\/d*d)) assuming d is positive.\nAnswer: d**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = 3*w. Which is the third smallest value? (a) -4\/7 (b) 0.03 (c) -3 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 14597*x\/4 + 73085\/4.\nAnswer: -(x + 5)*(4*x - 14617)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/3 and 87\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98 by -3.\nAnswer: 98\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = 3*d + 13, 3 = 3*l - d. Solve l = 5*u - 3 - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*x + 17980395 = -12*x + 1741467. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 334, 293, 210, 85?\n\"Answer: -21*q**2 + 22*q + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -132*b + 611. Determine w(5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10}. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.97726 rounded to 0 decimal places?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.215 - 6.115. Which is the smallest value? (a) -105 (b) t (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.05 - -0.05. Suppose -107*u + 108*u = -2. Which is the nearest to u? (a) -0.5 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 + 4*b + 4. Let u(c) = 7*c**2 - 9*c - 9. Let o(w) = 4*u(w) + 9*y(w). Let p(z) = -15*z. What is p(o(k))?\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-205)\/(-45))*4\/(-8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*4\/(-8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2*(-1 + -7). Suppose b*a + 0*a - 392 = 0. Suppose 0*m + 3*m - 196 = -4*p, -2*p + m + a = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.2826 times 4?\nAnswer: -349.1304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 4*w + 20 + 2*w)*(-8*w**2 + 0*w**2 + 0*w**2) to the form j + n*w + t*w**2 + m*w**3 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -786 + 786.2. Sort a, 17.4, 0.1 in descending order.\nAnswer: 17.4, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 + 866 = -54*l for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1661\/(-99) - -18)*9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 47*m**2 - 91*m + 45.\nAnswer: -(m - 45)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/97 and 53\/2328?\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -71*w + 5. Let p be (5\/1)\/((-4)\/4). Let y be u(p). Suppose -5*o = -5*r - 0*r - y, 2*r = 4*o - 278. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 2)*(-4*l**4 + 1168*l**3 - 3*l + 1 - 1168*l**3).\nAnswer: -12*l**4 - 9*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 4*j + 119 - 79, -j + 4 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -592*l**4*x + 14*l**4 + 4*l**3*x - 3*l**3 - 50372*l**2*x + 3*l**2 + 4*l + 4*x wrt l?\nAnswer: -14208*l*x + 336*l + 24*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8896992681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 53 = -3*u, -3*u = -b + 7 + 52. Let p = -16 - u. Let a(l) = p*l - 20 + 10 + 10. Give a(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 22 = v, 0 = 5*v + 7*j - 4*j - 22. Solve 2*s - 40 = -v*s + 4*d, 0 = -s + 4*d + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73 (base 9) to base 8.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(189\/21)*6*(-126)\/(-27)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6702 + -6694. Solve -4*g + 15 = g, q + g - s = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 + 22*q**2 + 170*q**2 + 1.\nAnswer: 192*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3))**(-1\/12)*(z*z*z**(-2\/17)\/z*z)**(-18) assuming z is positive.\nAnswer: z**(-20753\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000042877875 to 6 dps.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(8)*-2))**2 - (sqrt(48)\/sqrt(4) - sqrt(3)).\nAnswer: -sqrt(3) + 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -55417, 2.\nAnswer: -55417, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -846710760*z**2 - 825717596*z.\nAnswer: -1693421520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5*v + 21, 3*o = -7*v + 4*v - 9. Let r be (-5 - (1 + o))\/(2\/(-36)). Suppose 192 = 4*m + t, t = -5*m + 2*m + r. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/1326 and -13\/2754.\nAnswer: 35802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/5177, -0.12.\nAnswer: -1, -0.12, -2\/5177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2223, -4448, -6657, -8844, -11003, -13128, -15213, -17252?\n\"Answer: w**3 + 2*w**2 - 2238*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1176894570?\nAnswer: 2, 3, 5, 47, 179, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 1 - 8. Let h(b) be the third derivative of -3*b**5\/20 - b**4\/24 + b**2. Let j be h(x). Sort j, 5, -1.\nAnswer: j, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16638.6*-0.14\nAnswer: 2329.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyy when three letters picked without replacement from ttttytytttytytty?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.09 - 0.26. Round c to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 400*r - 300*r - 2516*r as w*r + c and give w.\nAnswer: -2416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2. Let w = 2669 - 2665. Which is the second biggest value? (a) n (b) -0.2 (c) w (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -190 - -188. What is the closest to q in -0.4, -0.1, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-2)*(-17)\/(-136)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30714090943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f**3 - 1076*f**2 + 308*f + 22. Calculate w(-154).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0663128052 to 6 dps.\nAnswer: -0.066313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13556 or -13553?\nAnswer: -13556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -212 + 569. Let a = d + -356.9767. Let c = -41.2233 + a. What is c rounded to the nearest integer?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 613305*s + 1839926. Determine a(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 468 (base 9) to base 4\nAnswer: 12002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avxw when four letters picked without replacement from {v: 2, a: 2, w: 1, x: 6, y: 3}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 355 + 355. Let x(h) = 6*h - 26*h**2 - 6*h. Give m(x(a)).\nAnswer: -1352*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -0.9. Let s be (-1)\/(-2)*12 - 1. Suppose r - 7 = d, 5*d - 2*d = s*r - 31. What is the smallest value in 3, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -222, -332?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 8. Suppose -z*t - 2*y = 15, t - y = 6*t + 18. Let v be (-24)\/(-18) + (-2)\/t. Solve 5*b + 2*k + 1 = 7, 2*k - 6 = v*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8406090 and 594.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 4. Let y(r) = r + 2. Let m be y(-6). Let k be s(m). What is the lowest common multiple of (-1 + 3 + k)*2 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*t + 82271 - 84637 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62*3.7.\nAnswer: -229.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53472561?\nAnswer: 3, 1229, 14503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/64*10\/4\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 38, -42, 0.18, 2?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from umumcmuuzmmmmmmzm?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o - 75389 = -63*o + 31*o - 70431 for o.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 163. Let q(l) = 8*l - 491. Let z(h) = 7*k(h) + 2*q(h). List the prime factors of z(-30).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 185.4 - 185. Let l = -5 - -5.1. Let x = l - -3.9. Which is the second biggest value? (a) h (b) 1\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -1. Let h = 0.222549 - 0.022549. Sort 12\/7, 4\/7, i, h.\nAnswer: h, 4\/7, 12\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15 - -8) + 3)\/((-176)\/1012)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (10 - 4)) + -8 - -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 3) to base 5.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*i - 3226 + 1258. What is the remainder when i is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**11\/(j*j*j**(2\/83)*j*j)*(j**(-4\/7)\/j*j*j)\/j**16 assuming j is positive.\nAnswer: j**(-4994\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 9:54 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46.42 + -41.1. Round v to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -27*h + 19. Let j be w(-3). Let b = j - 91. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1 - (9 - (-20 - -11)) - 3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -128, -2.8, -0.33507?\nAnswer: -0.33507","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 24, 96 in descending order.\nAnswer: 96, 24, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (5 + -9 + -1536). Suppose -d = 8*d - g. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41944 (base 10) to base 8.\nAnswer: 121730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 26*z - 236. Give m(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*i**4 - i**2 + 8*i**4 - 14*i**4)*((-3 - i + 3)*(-4 - 1 + 3) - i - i + i + 3 + i - 3).\nAnswer: -84*i**5 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 4:21 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 36*j**2 + 1282*j + 46171. What is b(-36)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 35120736.67 to the nearest 10000.\nAnswer: 35120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2 = -102. Suppose 4*n = -n - f. Let j(v) = v**3 + 7*v**2 + 6*v. List the prime factors of j(n).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3*u)\/(u\/(u\/u**22)*u) assuming u is positive.\nAnswer: u**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3272 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9502 or 9501?\nAnswer: 9502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let a = 388 - 383. Solve -3*k = m - 14, -4*k + r*k + 26 = a*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 21. Is p > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -453 - -500. Suppose j*o = 50*o - 12. Calculate the least common multiple of 78 and o.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 246 = 8*b. Suppose 4*h = 3*j + 66, 0 = -h - 2*h - 2*j + b. Calculate the smallest common multiple of 5 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 - (-59 + -85 + 70)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 30*x**3 - 217388*x**2 + 57960*x + 57968 = 0?\nAnswer: -2\/5, 2\/3, 7246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5 + 132*p**4 + 591*p**3 + 174*p**2 - 2412*p - 2808 = 0 for p.\nAnswer: -39, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.641 * 0.248.\nAnswer: 0.406968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11503 is divided by 180.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 58224763 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1601*o**3 + 7*o**2 - o + 8. Let y(v) = 3204*v**3 + 13*v**2 - v + 14. Let s(a) = 5*u(a) - 3*y(a). Is s(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/27547828?\nAnswer: 1\/27547828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2324\/5 - -461. Let r be (-1)\/4 - 223\/4. Let a = r + 36. What is the common denominator of s and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 7 = -2*m, -73*w + 8 = -211 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*x = 91*x - 120. What is the derivative of 29 - 53*w - 29 + 27 + x wrt w?\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 295*p - 299*p. What is the remainder when 47 is divided by 18*p\/4 - -3*1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 16 = 0, 28*b - 30*b + 16 = -5*o. Let i be (-1765 - -24)*(b + 3). What is i rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-63)*-3*(-3)\/11\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 + 3 + -2 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**2 + 3660 - 1095 + d**2 - 959*d**3 - 543*d**3 wrt d?\nAnswer: -4506*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 75390694 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*-4*(4 - 3). Let g be v\/(-2)*6\/(-12). Suppose z - q = 11, -g*z = q - 33 - 52. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 j when three letters picked without replacement from aiajjjijaijijajaji.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -6*(sqrt(112)*-4*-1 - ((1 + sqrt(112) - sqrt(112))*5 - sqrt(112)))*-2)*-6)**2.\nAnswer: -1105920*sqrt(7) + 14662656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*q + 7*q + 35 = 0, 0 = -4*z - q + 34. Suppose 11*f - 7500 = z*f. Let c = f + -2017. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 11\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.956 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.403028 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.3, 0.4, 3\/7, 1.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (1 - 2 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - 1. What is the common denominator of 2 + (222\/(-20) - -2) and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) 0 (c) 14\/9 (d) 2 (e) 1 (f) -827\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 158502 divided by -333\nAnswer: -52834\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1153 times -0.4\nAnswer: 461.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v + 9. Is f(4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 1. Let m be l(8). Does 4 divide (-8)\/(-3)*m\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3571000 to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 2, -18, -74, -184?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.9324 + -0.0676. Is 20 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m - 30. What is x(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1232 - 3232 = -67*m - 305*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x + 3. Let y(s) = -3*s + 2. What is -4*d(r) + 3*y(r)?\nAnswer: -r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -55 (b) -0.0192 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1031 - 12202?\nAnswer: -13233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -32 (b) -11 (c) 3\/4 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 0 - (-7 - -3 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2961 + 1982. Let s = k + 8857\/9. Let a = 12\/1171 - 43459\/12881. Calculate the common denominator of s and a.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*d**2 + 20*d**2 + 19*d**2 - 62*d + 62*d.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30982*y**2 + 34*y - 5?\nAnswer: 61964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16786491.673 rounded to the nearest 1000?\nAnswer: 16786000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -28.6. Let x be ((-93)\/93)\/(-11 - -1). Which is the nearest to -0.2? (a) -0.3 (b) s (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -121155 - 30200?\nAnswer: -151355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 5:32 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 47*t**2 + t + 2. Determine u(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/35 and 119\/7850?\nAnswer: 54950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1940, 1941, 1942, 1943, 1944?\nAnswer: 1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + -2)**2*1*-1 - 3*(sqrt(1100)*4)**2*-6.\nAnswer: 40*sqrt(11) + 315696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**3 - 9*g**2 - 14*g = 0.\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 8:48 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81754*f + 1993*f**2 - 81754*f - 498*f**2 to g*f**2 + a + d*f and give g.\nAnswer: 1495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.3, 0.2, -25.\nAnswer: -25, -0.3, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 9 - o - 1 - 7.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 9:23 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4108*y + 7070*y - 861999 = -2982*y + 908001 for y.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o. Suppose 4*g - 2*y = -14, -4*g + 9*g + 4*y = 15. Let v be b(g). Let f = v - -3. Solve 0 = -f*h + 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 12 = -14*y. Suppose 3*q - u = 67 + 147, -y*u - 82 = -q. Is 18 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.183, 1\/7.\nAnswer: -1, 1\/7, 0.183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15632846634122\/4790293660779 - 4\/404346557. Let n = q - -10\/1077. What is the common denominator of n and (1*-167)\/(30\/1)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h**2 + 503464*h + 27245376 = 0.\nAnswer: -54, 126136\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -4.321, -5, -0.08, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881533133 a multiple of 11553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 761230218+50279\nAnswer: 761280497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -712, 866, 2444?\nAnswer: 4022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b699 (base 12) in base 8?\nAnswer: -117425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Calculate the remainder when 35 is divided by (1 - s) + 8 - -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856477057 to the power of 1\/2, to the nearest integer?\nAnswer: 29266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28\/13*k**2 - 34\/13*k + 2\/13*k**5 + 8\/13*k**4 - 12\/13 + 0*k**3 = 0. Calculate k.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**4\/5 - 51*z**3\/5 + 161245*z**2 + 604707*z\/5 - 40313 = 0.\nAnswer: -455, -1, 1\/4, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**3 - 3*t**2 + 2*t - 2. Let h(c) = -3*c**3 - 4*c**2 + 2*c - 2. Determine -4*f(x) + 3*h(x).\nAnswer: 3*x**3 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95759?\nAnswer: 31, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, b: 10}. What is prob of picking 2 t?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 15, -q = -4*k + k + 69. What is the least common multiple of k and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 91 = -81, 4*h = 2*l - 31888. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from {u: 2, g: 2, j: 4, s: 1, f: 1, i: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.07, 2.4, 0.5, 2, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 139467 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/((-5180)\/(-120))*-2*21\/78.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 - 5*y**2 + y + 3. Let c be k(3). Suppose 3*s = b + 15, 2*s + 2 - 12 = -5*b. Solve -2*q + c = s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 767*d**5 - 598*d**2 wrt d?\nAnswer: 46020*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110100101001101 - -1000110110?\nAnswer: -111110011100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugul when four letters picked without replacement from {l: 5, u: 3, g: 3}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/4 - (-1)\/4. Solve 0 = -3*o + 1 + 2, -3*b - 5*o = -y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**2*v**2 + 59*n**2*v + 16135*v**2 - 2*v - 24 wrt v.\nAnswer: 6*n**2 + 32270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htb when three letters picked without replacement from {t: 1, l: 1, b: 4, h: 1, z: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 58 = 6*b, 103 = -3*l + 115 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 4. Let r = -5 + j. Let h(g) = 12*g**3 - 2*g**2 + g. What is h(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7 and 39805.\nAnswer: 67668.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 40. Suppose 0 = -3*p - 2*m + d + 4, 5*p - 2*m - 40 = 0. Solve 0*o + 3*o + 2*w = 5, 5*o - p = -3*w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 1. Let c(w) = -6*w**2 + 24*w + 3. Let y(z) = -c(z) + 3*h(z). Let s(a) = -2*a**2 + 5*a. Give -24*s(x) - 5*y(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3227 and 1383.\nAnswer: 9681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) 60081 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 - (-18 - (-21 - 84))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10433 (base 5) to base 16.\nAnswer: -2e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (631*t - 633*t - 11038 + 3100)*(-2 + 2 + 2) to s + w*t and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23744 - 15347. Let v(n) = -j - 8*n + 8397. Let b(u) be the second derivative of u**3\/6 - 13*u. Calculate v(b(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274861, -549735, -824609, -1099483?\nAnswer: -1374357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*w + 20*w - 32*w)*(0 + 1 - 2)*((-1 + 3 + 0)*(1 - 1 + 1) + 3 - 1 - 1).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 3 (c) 0.4 (d) 3\/5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24755385271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4001*s**2 + 813*s**2 - 1747*s**2 as a + l*s + k*s**2 and give k.\nAnswer: -4935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*(728\/(-70) + 11)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926319 is divided by 802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(99)*2*-6 - (5 + (0 + sqrt(99) - sqrt(99)) + 1)))**2.\nAnswer: 21600*sqrt(11) + 1426500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -108000 divided by -5?\nAnswer: 21600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**4\/4 - n**3 + n**2\/2 + 4*n + 18. Let u(o) = o**2 + 3*o + 2. Let g be u(-3). Suppose -2*a = g - 8. Determine w(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.358, 1, 8, 135.9 in descending order.\nAnswer: 135.9, 8, 1, -0.358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**6\/105 - w**5\/35 + 2*w**3\/21 + w**2\/7 - w - 2. Let y(m) be the first derivative of r(m). Factor y(d).\nAnswer: -2*(d - 1)*(d + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-12)\/(-8))*(-165)\/(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1120 = 1641*i - 1501*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 1647 + 2371 = 29*j. Calculate the lowest common multiple of j and 224.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -511920 - 357036 = -58*r. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.348055 rounded to three decimal places?\nAnswer: 0.348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + n - 30, 0 = -y + 5*n - 2*n - 15. Let a = y + 15. Factor 2\/3*o**2 + 2\/3*o**3 - 2\/3*o**4 - 2\/3*o + a.\nAnswer: -2*o*(o - 1)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 10:53 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2400\/(-105) + 13 + 9\/(-3) + 10?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 5 - 171 = 0. Solve 2*q - 4*k = 2, -3*q + k - 3 + h = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 464*w - 451*w. Suppose w*d - 3*n = 4573, 3654 = 11*d - 7*d + 2*n. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20108)\/(-201080))\/(1\/410*-3).\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -598802 less than -598802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.298 + 0.002. Let q = -10.8 - -1.8. Let j = -9.4 - q. What is the closest to 0.1 in 0.5, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o = 5*q + 10, q + 2 = 0. Suppose -n - 2*n + 9 = o. Solve -b + n*k = 0, -4*k = 3*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000802 rounded to seven dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1199 or 1198?\nAnswer: 1199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 0.4 (c) -1\/3 (d) 125\/8 (e) 5 (f) -5 (g) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23046160 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1226907 divided by -33.\nAnswer: -37179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z + 2 - 2)*(-5 + 0 + 4) + (2 - 2 + 2)*(-23*z - 4313 + 4313) - 9*z + 9*z + 15*z + z - 4*z + z + (-5*z + 4*z + 2*z)*(0 + 2 - 1) as g + l*z and give l.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -3, 8\/17, 1\/113, 0.8, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, 21, 58, 131, 252, 433, 686?\n\"Answer: 2*s**3 - s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.35 - 0.05. Let h = 4.6 - z. Let m = 5.0068 - h. Round m to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -1\/13 (c) -38 (d) -5\/3 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8949179509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + 7*g + 7. Let q(c) = c**2 + 6*c + 6. Determine -6*d(r) + 7*q(r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37290*d**4 - 5*d**2 + 1860*d wrt d?\nAnswer: 894960*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*i**2 + 22251*i + 3339 = 0 for i.\nAnswer: -3\/20, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*h - 56*h + 235 + 5*h**2 - 49*h - 3*h**2 - 43*h to a + r*h + f*h**2 and give a.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 9*q**2 + 6*q - 75. Let t = -1 - -4. List the prime factors of p(t).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 7:06 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 544571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*h - 9. Let s be 16\/(-105) - h\/14. Let l(j) = -3*j**2 - 2*j + 4. Let v be l(-2). Which is the second smallest value? (a) s (b) 1\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.34. Let w = z - 0.04. Let t = -0.228 + w. Round t to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 7*v + 6. Let x be w(6). Suppose q + x*b - 7 = 2*b, 2*b - 18 = -4*q. Sort -4, q, -0.5 in ascending order.\nAnswer: -4, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let t(x) = -x**3 - x**2 - 1. Suppose 0*h = h. Suppose h = -o - o. Let n be t(o). Let d(p) = -2*p - 2. Give n*r(j) + d(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -57 * 43723\nAnswer: -2492211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a - 60*a = -405 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**3 - 3*v**2 - 3*v - 6. Let l(u) be the third derivative of u**6\/20 - u**5\/15 - u**4\/6 - 7*u**3\/6 - 5*u**2. Determine 4*b(p) - 3*l(p).\nAnswer: 2*p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y - y**2 - 15*y + 7*y. Let u(b) be the first derivative of 9*b**2\/2 + 20. Determine u(j(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 0*c**2 + 3\/5*c**5 + 7 + 0*c - 2*c**3 - 3\/4*c**4. Let l(y) = 0. Calculate y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 111111022?\nAnswer: 111111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -8713*y**2. Let r(o) = -96*o**2. Calculate r(u(c)).\nAnswer: -7287971424*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + 2*q**2)*(0 + 1 + 1 + 8336 - 4372 - 4182 + (0 - 1 + 2)*(4 - 2 - 1) - 2 - 2 + 2 + 1 + 0 - 3).\nAnswer: -438*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 87644647 to the nearest one million.\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3408 rounded to two dps?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + 1. What is the smallest common multiple of 12 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 4*t + 3*t)*(-13*t - t**2 + 13*t) + t**3 - t**3 - 4*t**3 + (2*t - 4*t + t)*(t**2 + t**2 + 0*t**2) - 2 - 2*t**3 + 2.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6402446\/171 + 37441. Calculate the common denominator of o and 71\/3.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3.8. Let f = 2.6 + -3.3. Let a = j - f. What is the biggest value in a, -5, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 416\/9 - (3 - 200\/72). Suppose 30 = -u*t + 52*t. Solve 35 + t = -8*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 12 = -0*w - 3*s, -4*s + 46 = -5*w. Let k be 5\/w*(-30)\/5. Solve -9 = 5*d + 4*c - c, 17 = -k*d + c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -8. Let j be 2\/3*u\/(-32). Which is the closest to j? (a) -2 (b) 0.1 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a**2*t**2 + 35*a**2 + 58*t**3 wrt t.\nAnswer: -6*a**2*t + 174*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.116 - 22. Let b = 0.03 + -0.078. Let x = m - b. What is x rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 c when four letters picked without replacement from {b: 2, n: 1, c: 3, u: 3, p: 2, r: 3}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/6 + 149*v**2\/6 + 1135*v\/6 + 329\/2.\nAnswer: (v + 1)*(v + 7)*(v + 141)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by -108\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from vvvllvvjlljjivlvivl.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 7230*j + 7602*j - 14858*j + 1.\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -59996.93 rounded to the nearest one hundred?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*h - 4*a + 504 = 0, -5*h - 5 + 6 + 1 = -5*a - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h - 3*r = -6*h - 415, 5*r + 48 = -5*h - 7 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -6. Suppose 30 = -2*r + 26. Let s(p) = -p**3 + 3*p**2 + p + 1. Let b be s(3). Put a, b, r in descending order.\nAnswer: b, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = -3*o + 108. Suppose 2*q + o = 44. Let p = 36 - q. Solve -5*c + p = -0*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - c**2 - 2*c - 2. Let y be o(-2). Let x be (-3)\/2*y\/(-9). Suppose 2*f = 5 + x. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -16*m - 12. Let u(p) = -4*p - 4. Let q(y) = 4*h(y) - 11*u(y). Let n(l) = 2*l. Calculate q(n(f)).\nAnswer: -40*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 693203.9t to micrograms.\nAnswer: 693203900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11*u**5 - 35*u**4 - 1329*u**2 + u - 2. Let n(a) = 2*a**4 + a - 2. Let d(r) = -n(r) + q(r). Find the third derivative of d(z) wrt z.\nAnswer: 660*z**2 - 888*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**5 + 36858*j**4 + 9718632*j**3 - 120160032*j**2 + 485354112*j - 650280960 = 0.\nAnswer: -270, 4, 12544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*f + 8, 2*h - 51*f + 56*f = -20. Solve h = -7*d + 2*d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 7*c**2 - 7*c. Let h be z(6). Let l(p) = -p**3 - p**2 - p - 1. Let o(m) = 6*m + 6 - 3*m**3 + 8*m**3 + 6*m**2 + 1. What is h*l(y) - o(y)?\nAnswer: y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (7 - 0) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84084 and 303368.\nAnswer: 490546056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + sqrt(117)\/(sqrt(9)*1).\nAnswer: 2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**3 - 24*i**2 - i - 3. Let p be b(-8). Suppose g - 3*r - 2 = 0, -g - 2*g + 34 = p*r. Let u(a) = g - 4*a - 5 + 10 + 5*a. Calculate u(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 73430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebebebbebbbbbb. What is prob of sequence ebbe?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.05825266.\nAnswer: 0.023301064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d - d**2 - 3*d - d**3 + 3*d**2 - 7*d + 7. Let t be h(3). Is 8\/(-10) + (-1176)\/t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + -1 - sqrt(17)) + 1*sqrt(17)*6.\nAnswer: -1 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -79*q**2 - 68*q - 318. Determine u(-4).\nAnswer: -1310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/9733512 and 11\/4866756.\nAnswer: 9733512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 450*k**3 + 12*k**2 - 48*k + 247. Is d(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -952, -954, -964, -988, -1032, -1102, -1204, -1344?\n\"Answer: -b**3 + 2*b**2 - b - 952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, 0.09, 5, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -370, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i + 3. Let q(o) = 10*o + 4 + 3*o + 1 - 7*o - 3. Calculate -3*q(f) + 2*y(f).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqy when three letters picked without replacement from qyk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 5. Suppose i = 4*u - 11 - 5. Solve -5*p = -u*m + 10, 20 = -5*m - 5*p + 55 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7183765.\nAnswer: 5, 281, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/v**2*v)))**(2\/17)*(v*v*v**(-1))**(-10\/9))**(-2\/7) assuming v is positive.\nAnswer: v**(20\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11440082 or -0.2?\nAnswer: -11440082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6457\/5 + 430\/(-1075)?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {k: 11, a: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-4197.4081\nAnswer: 1678.96324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 391293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 10*f**2 + f - 3. Let b be x(10). Suppose -2*d + b*d = 35. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 475 + -339. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 8*n + 8. Let k be p(-7). Let x be (-33)\/(k*(-3)\/2). Let u = 559 + -493. Calculate the highest common divisor of u and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in 2, -139, 117, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9482.\nAnswer: 2, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32824*d**2 - 64072*d**2 + 31255*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -0*o - 45. Let p(r) = 110*r - 19. Let j(v) = 46*v - 9. Let h(x) = 5*j(x) - 2*p(x). Let n(s) = -5*s + 3. Determine o*n(k) + 4*h(k).\nAnswer: -5*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*p - 655 = -5*o, 659 = 5*o + p. Suppose o = 11*d - 33. Solve 4*k + g - d = 0, -3*g = -6*g + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -243 - -245. Put -4, 5, -2\/5, a in ascending order.\nAnswer: -4, -2\/5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 25. Solve 0 = -6*o + k*o + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*g - 4. Let r = 127\/2 + -1655\/26. What is the nearest to 0.3 in 1, r, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 867?\nAnswer: -1\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 - -3780 - (230 + -246)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 16) to base 8\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 957049\/46 - 20808. Is -4 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879 a factor of 488641466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 - -31310?\nAnswer: 31333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 21 = -2*n, -7*n = -3*n - b - 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 941\/4 - 235. Which is the closest to j? (a) -3\/5 (b) -2\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 110000?\nAnswer: 101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - c + 0*c + 2*c + 2*c - 3*c + (-2 + 2 - 2)*(-3*c - 4*c + 6*c) + 221*c + 136*c - 119*c as w + t*c and give t.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/37, 0.3, -563?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3654 = -16*t + 34*t. Let c = 459 - t. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + s + 9. Let i be y(-4). Calculate the highest common divisor of 9 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1. Let j(b) = 4*b**2 + 9. Suppose 2*d - 77 = -79. Calculate d*j(x) + 6*i(x).\nAnswer: -4*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t - 18*t + 1 + 13*t**2 + 12*t. Let h be k(-2). Suppose -h = 8*r + 9. Let o(v) = v**2 + 4*v - 7. What is o(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in 1, -1\/5, 16?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 65.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168) + sqrt(168)*1 + sqrt(168) - sqrt(168)\/(sqrt(12)\/sqrt(3)))\/((sqrt(6) - 2*sqrt(150)) + sqrt(24)\/sqrt(64)).\nAnswer: -4*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-2))\/k*k)\/(k*k**1))\/(k**(-1)*(k\/(k\/((k\/k**(2\/3))\/k)*k))\/k))\/(k**(-6)\/(k*k**(-2\/5)))**(24\/11) assuming k is positive.\nAnswer: k**(226\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z + 10. Let a be g(-4). Let h(u) = -u**3 + 2*u**2 + 3*u - 2. Suppose -4*y + 2*y + 6 = 0. Let n be h(y). Sort 0, a, n in descending order.\nAnswer: a, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 12:30 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)*-1)\/sqrt(2)*1.\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41292.\nAnswer: 2, 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/6 - 4\/(-6). Solve -4*b = 4*n - 8, -4*n - c*b + 2 = -3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 + 3. Let o be 2\/(2\/2 - -1). Let t = 7.7 + -7.7. What is the nearest to s in 5, t, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmrm when four letters picked without replacement from rrrrmrrmmrr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 498759000 rounded to the nearest one million?\nAnswer: 499000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 10 = -7*u. Let z(q) = q**2. Let h(r) be the first derivative of -16*r**3\/3 + 3*r**2 - r - 19. Let g(s) = u*h(s) - 22*z(s). Factor g(d).\nAnswer: 2*(d - 1)*(5*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -88*g + 84*g + 3720, -5*g - 3*x + 4644 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 58\/3 + (-2)\/(-3). Suppose -w = -2*w + x. Suppose -3*j + 5*z + 15 = -0*z, 0 = 4*j + 5*z - w. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (368\/10)\/(290\/42775). Are h and 5427 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 2*d - 12, 0*o + 3*d - 3 = -4*o. Let x be -2*o\/36*-12. Solve -r + 1 = x*g + 2*g, 0 = -g - r + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - (-10)\/3. Solve -13 = h + s*n, -2*h - n = 2*n + 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 7. Let c be s(-9). Suppose 5*k - 6 = c*k. Suppose 4*z + k*y - 2 = -0, -2*z + 19 = -5*y. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 5*v**5\/12 - v**4\/24 - v**3\/3 + 29*v**2. What is the remainder when w(-1) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-489)\/(-1141))\/(1\/(-2)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 12 = 4*f - f, 2*j + 4*f + 2 = 0. Let x(c) = c**3 + 3*c**2 - c - 1. Does 2 divide x(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**7\/210 - w**5\/60 - 7*w**3\/3 - 8. Let c(t) be the third derivative of v(t). What is the second derivative of c(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1783\/60 - -121\/4. Determine q, given that 0*q - 2\/15*q**2 + b = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r. Let s(j) = 454*j + 3*j**2 + 493*j - 20*j**2 - 372*j. Let a(o) = -3*o**2 + 115*o. Let l(z) = -11*a(z) + 2*s(z). Give u(l(c)).\nAnswer: 2*c**2 + 230*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -6\/7, 4 in decreasing order.\nAnswer: 4, -3\/7, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {p: 1, n: 1, k: 3, c: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a64 (base 14) in base 11?\nAnswer: 15a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/764 and 17\/336.\nAnswer: 64176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5*a + 49714 + 43220, a - 61943 = -2*w. What are the prime factors of w?\nAnswer: 47, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 574 and 12796.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-3)*75180\/112 + -5. What are the prime factors of 15\/(-40) + t\/(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2380*q**2 - 33319*q + 32. Determine z(14).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f*g**3 + 62812*f + 4*g**3 - 230*g**2 wrt g.\nAnswer: -6*f*g**2 + 12*g**2 - 460*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22224 divided by 1389\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 7*a**2 - 16*a - 3. Let v be q(8). Suppose 0*g = -4*g + v. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -51\/2 (c) 4 (d) -10.1 (e) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2608 - -3783. Does 30 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a milligram in micrograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0)*(75 + -38 + -64)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**5 + 26*j**4 + 40338*j**2 + 11218*j - 112 wrt j?\nAnswer: 40*j**3 + 312*j**2 + 80676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 7*k + 2. Let j be o(-6). What is the third derivative of -2*f**2 - j*f**2 + 7*f**3 - 2*f**3 wrt f?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 - -11220112220021?\nAnswer: 11220112220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alag when four letters picked without replacement from ggllagggglalgllegg.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/33 - 65\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6710 (base 9) to base 15\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**3 + 10*p**2 + 2*p - 8. Let a(s) = 7*s**3 - 19*s**2 - 3*s + 16. Let r(f) = 3*a(f) + 5*x(f). What is the tens digit of r(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28618111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 344197672?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0*a**3 + a**3 - 37*a**2 + 0*a**3 to the form m*a**2 + q*a**3 + v*a + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f - 24 = -d, 0 = -4*d - f + 66. Suppose 13*m + 23 + d = 0. Which is smaller: -33\/8 or m?\nAnswer: -33\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8490 + 5144 - 24896 = -523*p for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 10) + (-1 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54 or -1383\/26?\nAnswer: -1383\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from llltllllllt?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.7. Which is the second smallest value? (a) u (b) -1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/568*((-3)\/6)\/((2680\/(-160))\/(-67)).\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (7\/(-4) - -3). Let m = -16 - -11. What is the nearest to 0.1 in 4, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206016 (base 7) to base 8.\nAnswer: -105545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6676645 and 8815?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, -488041, 2\/13, 3 in descending order.\nAnswer: 3, 0.9, 2\/13, -488041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 473 - 116. Is f a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(8) + sqrt(128)*6))\/(5*(sqrt(44)*-1)\/sqrt(11)).\nAnswer: -25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z = -16*z - 2*d + 2, -6*z - 2*d = -18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*i - i + 66, -d - 5*i = -58. Suppose 0 = -2*s - 10 + d. What is the remainder when s is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*((sqrt(121) - (sqrt(121) - (sqrt(121) - (sqrt(121) - (sqrt(121) + sqrt(121) + -2*sqrt(121) + sqrt(121)) - sqrt(121)))))*1)\/sqrt(11).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2, 1, 0, -1?\n\"Answer: -t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17819 + 17829. Solve y*h + 53 = 33 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 4464 = 4*p - 14*p. What is the remainder when p is divided by 66?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226867408.5 rounded to the nearest one hundred thousand?\nAnswer: 226900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from quuununnqun?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*(-55 - 4 - 61)*(2*g**2 + 0*g**2 - 3*g**2) as y + o*g**2 + c*g and give o.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 - -84 - -170 - ((-2 - 28) + 1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 + 104 = 3*o. Suppose -3*k + 5*j = -79, -k = -4*k - 5*j + o. What is the greatest common divisor of 56 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 37*b - 41*b + 4381, 4*b = 2*d - 2894. Let l = d + -966. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzdzkdkkzkddqdq. What is prob of sequence zzq?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1152 divide 10703981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -8*k**3 - 113*k**2 - 5*k - 1. Let j(v) = -11*v**3 - 112*v**2 - 10*v - 2. What is 2*j(t) - 3*w(t)?\nAnswer: 2*t**3 + 115*t**2 - 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.7? (a) 1 (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6296479 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from joflojaaaokaaoaaf?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23556 or 23554?\nAnswer: 23556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 4, -2*p + 35 = 196*x - 193*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 5:56 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14563 + -4a?\nAnswer: -14602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3243362, -6486740, -9730120, -12973502, -16216886, -19460272?\n\"Answer: -s**2 - 3243375*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33119030 and 1290.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-9 - (-7 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17442*f + 875*f**3 + 17442*f.\nAnswer: 875*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12121748646.75 and -0.78.\nAnswer: 12121748645.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*j = -5*j + 16, 3*j = 3*z - 48. Suppose z = 2*f + 4*w, -1 = 2*w + 7. Solve 2*p - 14 = 5*p + 2*k, 4*k + f = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18923, 75700, 170321, 302780, 473071?\nAnswer: 681188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105*y**4 + 69*y**3 - 6*y**2 - y - 496 wrt y?\nAnswer: -2520*y + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11899774, 23799582, 35699390, 47599198?\nAnswer: 59499006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38589 and 106191.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 146134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**7\/42 + k**5\/4 + 673*k**3\/6 - 2*k + 25. Find the second derivative of g(a) wrt a.\nAnswer: 20*a**3 + 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g + 1. Let d(w) = -15*w - 2. Calculate -6*d(t) - 13*j(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 v when three letters picked without replacement from {v: 12, l: 1, d: 6}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/538, 4\/3, 52.1, -4 in decreasing order.\nAnswer: 52.1, 4\/3, -9\/538, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/9*j + 2\/3*j**2 + 4\/9*j**3 - 8\/9 - 2\/9*j**4 = 0. What is j?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 380, 773, 1166, 1559?\n\"Answer: 393*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g - 14. Let d(c) be the second derivative of 7*c**3\/6 + 7*c**2 + 232*c + 13. Calculate 5*d(x) + 6*n(x).\nAnswer: -x - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*r + 8. Suppose r*q = 3*q - 110. Let h be (30\/(-12))\/(q\/8). Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2656376*r + 13401. Let c(l) = 2973*l - 15. Let q(b) = 8934*c(b) + 10*v(b). Let m(k) = -2*k**2. Determine q(m(i)).\nAnswer: 5956*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -3a?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/8461492 and -157\/751020?\nAnswer: 126922380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*m + 92. Suppose b + 10 = -b, -b = -3*h + 14. Suppose -7*p + 36 = -h*p. Calculate the remainder when m is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000674196 to six decimal places.\nAnswer: -0.000674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3, 5, 25, 63, 125, 217?\n\"Answer: w**3 + w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 72706.75 milligrams?\nAnswer: 72.70675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (52\/4)\/(8*(-4)\/(-224)). Let m be (-4)\/(-14) - 48\/(-28). Suppose m*n + 2*f = 5*n - 39, f - 13 = -n. Calculate the highest common divisor of u and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/98*6*(-6)\/3.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 17*n - 11. Let b(y) = 3*y**2 - 26*y + 17. Let j(p) = -5*b(p) - 8*v(p). Determine j(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 8) to base 5.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1472134362 + -3?\nAnswer: -1472134365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 3. Let b(a) = -4*a + a**2 + 4*a - 7 + 3*a. Let i be b(-5). Let f be y(i). Solve f = 2*p - 3*k, -3*p + 2*k + 9 = 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + afa3?\nAnswer: afa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 s when four letters picked without replacement from wslllwwslllsslssw.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3984515677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -23*n**7\/21 + 887*n**3\/6 + 8*n - 29. What is the second derivative of i(f) wrt f?\nAnswer: -920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 39489995.\nAnswer: 78979990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35264?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 0*u + 4*u)*(0 + 3 - 2 - 3 + 3 - 1 + (-4 + 5 - 3)*(-5 - 1 + 4)) - 2 + 2 - 2*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -12. Suppose -u*c + 44 = 14. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 2*g - 1. Let d be ((-4)\/6)\/((60\/(-54))\/(-10)). Determine f(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.175, 60, 0.4?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 916*g + 913*g - 2699*g + 903*g.\nAnswer: 33*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319586, 319548, 319510?\nAnswer: 319472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + sqrt(130) + (sqrt(130) + sqrt(130)*2)*-1 + sqrt(130))*-5*-3)\/((3*1*sqrt(70))\/(sqrt(112)*-2 + sqrt(112))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (72\/120)\/((-1)\/(-25)). Let q(z) be the first derivative of -z**2\/2 - z + 1. Let r be q(-1). Solve r*c = -5*c - v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/801 and -101\/18.\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558 (base 9) in base 16?\nAnswer: 4a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, b: 7}. Give prob of picking 3 w.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 18 - 3 - l**3.\nAnswer: -l**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*j**4 - 543 + 624 + 1429 + 248*j**2 + 2*j**4 - 2*j**4 wrt j.\nAnswer: -12*j**3 + 496*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1359995 divided by -637\nAnswer: -2135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.08, -576, 0.4, -1.209?\nAnswer: -1.209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.3 + -61.7. Let k = y - -66.0332. Round k to 3 dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 0.1 (c) 0.2 (d) -4\/125 (e) -4653\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -15*v - 337. Let y be f(-28). Solve -4*n - 91 = -y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 41054320*d. Let j(h) = 12*h**2. Calculate a(j(b)).\nAnswer: 492651840*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155729 is divided by 54.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536805 is divided by 2386?\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 3. Let h = r - 11. Let s = -4.5 - 0.5. Sort h, s, -2 in decreasing order.\nAnswer: -2, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2822 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 230723 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*k - 4*y - 15, 5*y = -27*k - 3 - 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57515957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s + 80 - 72 + 0*s. Let i(k) = k - 7. Suppose -5 = -5*n - 30. What is n*c(z) - 6*i(z)?\nAnswer: 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256219.7 times 5?\nAnswer: 6281098.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*f**3*n**4 - 2*f**3*n - 2*f**3 + 2*n wrt n?\nAnswer: 948*f**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/2699744 and 6\/2952845.\nAnswer: 94491040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 15*n**2 - n + 19. Let y be o(15). Suppose 5*r - y*p - 94 = -0*r, -3*r + 4*p = -50. Calculate the least common multiple of r and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.12 and 749855.\nAnswer: 749855.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146 by -1.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**11)**(-9))**46)**(-10\/11) assuming i is positive.\nAnswer: i**4140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 f when four letters picked without replacement from {f: 4, i: 2, k: 2, v: 2, u: 5, y: 4}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/3 + 18158*w**2 + 2558069*w\/3 = 0. Calculate w.\nAnswer: -54427, -47, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1312 - 1317. Sort 4, -73, -2, d in descending order.\nAnswer: 4, -2, d, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 1:32 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f + 2 - 2)*(15 - 14 + 40).\nAnswer: 287*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/425*(-68442)\/2684?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24828 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/29, 0.1, 0.5, 10, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 11138028.\nAnswer: 55690140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*h - 95*h + 103*h + 6174 = -38*h for h.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 5. Let z be h(-3). Suppose 2*t - 108 = -t. Suppose z*g - 6*g = -t. Solve 0*x + g = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(16\/8)*2\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - q**2 - 92.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = 0, 0*v - 13 = 3*v - 5*x. Let a be v + (-4)\/4 + 4. Find the second derivative of a*b**5 + 5*b + 3*b + 0*b**5 + b wrt b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -11*p**3\/3 - 341*p**2\/2 - 6015*p + 718. Differentiate i(g) with respect to g.\nAnswer: -22*g - 341","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(2)*-2) + sqrt(12))\/(sqrt(60)\/(sqrt(40)\/sqrt(4))) - 6*sqrt(32)*-1*-2.\nAnswer: -95*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*g - 80, -g = -2*c + g + 54. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(3 - 15\/6). Suppose 0 = d - n*h + 1, h + 1 + 13 = 5*d. Solve -3*x + 19 = -5*w, -3 + 26 = -d*w - 4*x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*c - 122*c - 118*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a + 4*a**5 - 3*a - 3*a**5 + 2*a**4 + (5*a**5 - 6*a**5 + 3*a**5)*(2 - 7 + 2).\nAnswer: -5*a**5 + 2*a**4 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 - (-4 + (-10)\/(-1)). Solve 2 = i*o + 11, t + o = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7) + 3)**2 + sqrt(63)\/sqrt(81).\nAnswer: 11 + 13*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.22 and -7.0653 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10027*n - 10236*n = 5434 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 7. Let f be -4*1\/2*-6. Suppose 2*s = 2 - f. Let h be c(s). Solve 0 = h*t - 0*t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-15)\/(-6) + -3)\/(4\/(-696))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 62, -94, -532, -1228, -2158, -3298, -4624, -6112?\n\"Answer: 4*i**3 - 165*i**2 + 311*i - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -160, -271, -386?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhhhhhhh. Give prob of picking 1 n and 3 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4337.698um in meters?\nAnswer: 0.004337698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - k + 5*k + 20, -3*f + 2*k = -10. Suppose 2*o + 3*o + 4135 = f. Let t = 9143\/11 + o. Calculate the common denominator of t and -39\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 3)\/(1\/2). Does 18 divide (1 + g)\/((-1)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.054, -6, -0.5, 0.12, 21 in ascending order.\nAnswer: -6, -0.5, 0.054, 0.12, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -127 and -6991399?\nAnswer: 887907673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2. Let r(f) = 40188*f**2. Calculate b(r(c)).\nAnswer: 1615075344*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 8643*r - 8654*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3514 and 4267?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863721?\nAnswer: 3, 19, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1471288 + -0.42.\nAnswer: 1471287.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5946 or 5948?\nAnswer: 5948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 242 - 253. Let f(s) = 3*s + 44. Let n be f(w). Suppose 0*a + a + 491 = 5*t, 87 = t - 3*a. Calculate the greatest common factor of t and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2255805 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z**2 + 9*z**2 - 21*z**2 + 7*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*c*p**2*s*v - 4286076*c*p*s*v - c*p - 30*c + 9*p**2*s - 1146*p*s + 5*p wrt v.\nAnswer: -4*c*p**2*s - 4286076*c*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12843, 2 in increasing order.\nAnswer: 2, 3, 12843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1362*g**2 + 0*g + 170 - 1503*g**2 + 0*g + 63 wrt g.\nAnswer: -282*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1121\/177 + 1\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/205416 and 97\/11708712?\nAnswer: 11708712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 22*b + 44*b = 454, 4*z + 28 = 5*b + 80 + 30 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023 a factor of 12937085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 - 182238*s\/5 + 364484\/5.\nAnswer: -2*(s - 2)*(s + 91121)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a. Let v(z) = -6411*z + 1. Determine v(m(l)).\nAnswer: 38466*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111083*b**2*j**2*l + 25*b**2*j*l - 2*b**2*l - 9*b**2 - 3*b*j*l - 39*b + 2*j*l wrt j?\nAnswer: -222166*b**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002072 rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 464575, 464514, 464467, 464440, 464439, 464470?\n\"Answer: v**3 + v**2 - 71*v + 464644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3102175 to the nearest integer?\nAnswer: 1761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57964 and 3?\nAnswer: 173892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/10*(-6)\/(-9). Let m be (4\/(-3))\/((-52)\/273) + -7. What is the nearest to m in -5, -17, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1*sqrt(77)*5)\/(sqrt(121)\/(sqrt(22)\/sqrt(2))))**2 - 1*(6*(sqrt(70) - -2*sqrt(70)))\/(sqrt(40)\/sqrt(4)*-4).\nAnswer: -11*sqrt(7)\/2 + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 9:03 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 8 = -2*a + 3, 0 = a + 5*r - 43. Let i = -15 + 15. Let v be i + -18*(-10)\/2. What is the greatest common divisor of v and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -139*d**4 + 89*d**3 - 63972*d wrt d.\nAnswer: -1668*d**2 + 534*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*q - 5 = 0, 0 = 3*q - 3. Let v = g + 0. Suppose -3*a = -0*r - 2*r - 11, 4*a + 5*r - 7 = v. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 4*d - 7. Let f(b) = -b**2 - 5*b - 8. Let r be -4 + (-1 - (-1 + 1)). What is r*f(s) + 6*z(s)?\nAnswer: -s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**2 + 2*y - 53. Give t(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6337\/133688 - -4\/983. What is the common denominator of 47\/204 and y?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 138, -4 in ascending order.\nAnswer: -4, 5, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9932, -9933, -9934, -9935?\nAnswer: -9936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 5:41 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 + 4*k**3 + k**3 + (-k - k + k)*(-1693*k**2 + 2821*k**2 - 1678*k**2 - 6).\nAnswer: 551*k**3 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*z = 148, 3*t = -t - 3*z - 153. List the prime factors of (t\/(-15) - 0)*15.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i**2\/9 + 422*i\/9 + 124\/3 = 0. What is i?\nAnswer: -6\/7, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 4:04 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*o**2 - 21*o - 20*o + 41*o.\nAnswer: -29*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.88385us?\nAnswer: 0.00788385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 10*p**2 - 9*p. Suppose r - 4*a + 0*a + 31 = 0, 0 = 2*r - 4*a + 42. What is t(r)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = j - 3*x, -5*j + 27 + 18 = 5*x. Factor -5*m**j - m**3 + 0*m**4 - 2*m**2 + 3*m**4 + 5*m**4.\nAnswer: -m**2*(m - 1)**2*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.651 + -2.349. Let r = 69 - 757\/11. Put c, r, -0.3, -2\/7 in increasing order.\nAnswer: c, -0.3, -2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30eb (base 16) to base 4\nAnswer: 3003223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1775 to the nearest 10.\nAnswer: -1780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 + 46. Which is the nearest to 0.1? (a) z (b) 1\/2 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 6) to base 15\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 272*d - 18524. Determine v(-125).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(0 + 4 - 3)*(-2 + 0 + 1 + 2*d)*(131*d**4 - 1933*d**3 + 1933*d**3).\nAnswer: -262*d**5 + 131*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46157.29268 + 46159. What is k rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 274595 by 54919.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-20)*(0 - 8\/(-12))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 w when four letters picked without replacement from wmoowwom.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6614*r**3*t**3 - 27*r**3 - r**2*t**3 + 38159*r**2*t + 5*t wrt r.\nAnswer: -39684*t**3 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12110210120 (base 3) to base 2\nAnswer: -11010010011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -5, -5713?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 5*c - 14. Suppose 3*s - 30 = d - 10, -5*d = -4*s + 45. Let z be (36\/(-8) + s)*0. Sort c, -3, 6, z in descending order.\nAnswer: 6, z, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 6. Let k = n + 17.7. What is the nearest to 2\/3 in 2, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14893.\nAnswer: 53, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 768710 to the power of 1\/2, to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 69 = -0*u. Let a = 34 - u. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < 1384\/307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 1501*n**6\/30 - 179*n**4\/24 - 26*n**2 - 34*n. Find the second derivative of c(r) wrt r.\nAnswer: 36024*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 11:37 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -58. Suppose 20*i - 392 = 16*i. Let x = i + g. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 227*o - 12. Let n be y(9). Suppose 0 = 3*q - 0*q - n. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 n when three letters picked without replacement from {h: 2, f: 1, r: 4, b: 3, x: 1, n: 4}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggtx when four letters picked without replacement from {g: 4, x: 2, h: 1, t: 7, c: 1}.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 - 2*o**3 + 3*o - 2*o - 7*o**3 in the form v + u*o + d*o**2 + c*o**3 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = a, a = 4*a - 4*u - 11. Suppose 0*x = a*x. Which is smaller: x or -3\/19?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r - 33 = -322 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*v + 2. Solve -3*t - v = -4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228431 times -2?\nAnswer: -456862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3 - 817078*g**2 + 152002455*g - 7068516336 = 0. Calculate g.\nAnswer: -817264, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1132054 - -3?\nAnswer: 1132060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, o: 2, d: 1, t: 2, n: 1, l: 4}. What is prob of sequence dot?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/121 in -1\/6, -3\/7, 4\/25?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 25*v = -20*v + 12, k = -3*v - 2. Solve 469*a = 456*a + k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssjjxjsbxm. Give prob of picking 2 s and 1 b.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 46683 divided by -273?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -25. Let q = 28.3 - y. Let s = -11.700468 - q. What is s rounded to five decimal places?\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-81))\/((-2)\/6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**5 + 436*o**4 + 400*o**3 - 3504*o**2 - 5184*o = 0.\nAnswer: -108, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/38, 1 in decreasing order.\nAnswer: 1, 0.2, -1\/38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqa when three letters picked without replacement from {a: 8, q: 5}.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -30 - 7*m**2 + 12*m**2 - 15*m - 28*m**2. Let u be y(-16). Let q = 113651\/20 + u. What is the common denominator of -25\/22 and q?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**2 + 25*y - 10. Let s be r(6). Let l be s\/80 - (-468)\/5. Is l\/(1 - (-57)\/(-59)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**15\/s*s**22*s)\/(s\/(s\/((s\/(s*s**(-3\/7)\/s))\/s*s))*s\/(s*s**(-1\/5))) assuming s is positive.\nAnswer: s**(1238\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 5*y + 9 = 2*w, 0 = -4*y - 20 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 10.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (24 + -3 - 13) - 12.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 89*b**2 - 75*b**2 + 77*b**2 + (4*b - 5*b + 2*b)*(b - 1 + 1).\nAnswer: 92*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 434 times -1927144\nAnswer: -836380496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/21 and 64\/224 + 162\/62 + -3.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 9*x + 8. Let a be s(-6). Let u = 6 + a. Suppose 0 = -3*p - 2*q - 7 - 1, 4*p + 6 = 2*q. Which is bigger: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 58, 4, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -81 - -4700?\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 356\/(-72) + -1 + 2. Which is the closest to -1? (a) -0.3 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45599\/2 + -22800. Let f = 2\/67 - -197\/134. Let p = -1.05 - 0.15. What is the nearest to w in -0.1, p, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + 4*(5 + (2 + 2 + -2 + sqrt(99))*-4))**2.\nAnswer: 1056*sqrt(11) + 25465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 219\/11 - 20. Let j = 0 - v. What is the closest to -3 in j, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2414 divide 2704800096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2363 by -100.\nAnswer: -2363\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/((sqrt(120)*-1)\/sqrt(12))*6 - (sqrt(19) + (sqrt(19) - 6*sqrt(76) - sqrt(19)) - (sqrt(19) + (2*sqrt(475))**2 + sqrt(475) + sqrt(19)))*3.\nAnswer: 48*sqrt(19) + 5700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l + 18070227 = 44*l - 6549303. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34853?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (26 - (-29 - -63))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 819 a factor of 31873035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/11, 4, -0.3, -3\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31700711?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6048 = -5*p - 3*a, -6*p = -2*p - 5*a - 4868. Do p and 1213 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/297996 and -13\/10?\nAnswer: 1489980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from {j: 3, l: 1, c: 3, h: 4}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13782*g**3 + 2 - 158*g**2 + 237*g**2 - 116*g**2 - 859*g**2 + g wrt g?\nAnswer: -82692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333137593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(((w\/(w*w*w**47*w))\/w)\/w))\/w)\/w*w*w*w*w**(1\/10)\/w*((w*(w*w**46*w)\/w*w)\/w)\/w*w\/w**(-45))**(-21) assuming w is positive.\nAnswer: w**(-30471\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 82013441864767 and 1.\nAnswer: 82013441864768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 27*q - 794. Let d(w) = w. Give i(d(t)).\nAnswer: 27*t - 794","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/117 - (-7)\/9. Let d = 2 + 8. Suppose m - 2 + 4 = -3*f, -m = -5*f + d. Is q at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t**2 + 178*t - 747. Give c(31).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.5, -24\/31, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqgywqwqgbwgbwgb. What is prob of sequence yg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 3 - 3)*(2126 - 2126 - 1035*r) in the form s + x*r + v*r**2 and give v.\nAnswer: 1035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**6\/120 + 3*m**5\/10 + 49*m**4\/24 - 10*m**3\/3 - 163*m**2. Is 17 a factor of n(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981446453?\nAnswer: 13, 31, 2435351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3228 + 5880 = 2277*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - ((-1 - -2) + -3). Let g = -8.14 + 0.14. Let x = g - -9. Which is the closest to p? (a) 1\/4 (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 159 and 3216?\nAnswer: 170448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2 + 4. Let k be (-1)\/5 + 81\/5. Solve -3*x + v = k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164226262 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 88, 18\/5, 2\/11785?\nAnswer: 2\/11785","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1246 less than -5?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + 0*o**3 + 0*o**3)*(0*o**2 + o**2 + o**2).\nAnswer: -8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -10012002002?\nAnswer: -10012001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*k + 9. Let l(t) = -3*t + 2. Let b(y) = y + 1. What is k*l(d) - 2*b(d)?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -831680 divided by 460.\nAnswer: -1808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48073 + 624951\/13. What is b in k*b**2 + 6\/13*b - 20\/13 = 0?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 3825517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -32. What is the tens digit of 72 + 1 + b + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 3:27 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-12)*1*-24*(-17)\/(-306).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57598850 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + z + 15300000. Suppose 5*d - 5 = n, 4*d + 25 = -0*d - 5*n. Let b be g(d). Round b to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6224*j + 162769 = -236*j - 27738 - 55001 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 132434?\nAnswer: 132431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 54 + 60. Suppose p*u = -5*x + 130, -3*x - u + 78 = u. Suppose -14*l = -x*l + 1116. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262621766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-25))\/(16\/(-160)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 0 (b) -785 (c) 283\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 20*g - 40. Calculate the remainder when 4 is divided by t(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2003995, 4008085, 6012179, 8016277, 10020379, 12024485?\n\"Answer: 2*s**2 + 2004084*s - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q**2. Let h(i) = 12*i**2. Determine h(n(f)).\nAnswer: 300*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124500849158 - -10587.\nAnswer: 124500859745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - 54 - (9 - (3 - -7)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32\/(2\/2 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 58 (b) 0.3 (c) 3\/850\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 304, -2, 4 in increasing order.\nAnswer: -2, 4, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 174?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*(-4)\/16)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 5*h - 16, 61*z - 62*z - 3*h - 10 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o + 263. Let l = o - 382. Let s = l + 835\/7. Which is the third biggest value? (a) 4 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5549 and 18631?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 11 (b) -0.01 (c) -18129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*y**2 - 8157*y - 31950.\nAnswer: 3*(y - 213)*(13*y + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 10:12 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkpwpksmpp. Give prob of picking 3 p and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 421 divide 17153101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -3*f**7\/140 + f**6\/80 + f**5\/15 - f**4\/12 + 3*f**2. Factor m(d).\nAnswer: -d*(d + 1)*(3*d - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 39021*v - 53836110.\nAnswer: 3*(v - 1258)*(v + 14265)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -340410 + -13?\nAnswer: -340423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(700) + (sqrt(700) - sqrt(700)*-1) - (sqrt(700) - (sqrt(700)*1 + 0)))**2*-1.\nAnswer: -6316 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -7*d**4\/3 + 493*d**3\/3 + 1021*d**2\/3 - 493*d\/3 - 338 = 0.\nAnswer: -2, -1, 1, 507\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (0\/1 - 6). Suppose -t = -2*n - q*t - 2, -n + 11 = -4*t. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 1020.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o + 3*o - o)*(-o**2 + 2*o - 2*o) - 112*o**3 - 4*o**2 + 91*o**3 + 2*o**2 to the form x*o**3 + n + r*o + h*o**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16274 + 16269. Suppose 12 = -5*x - 8. Sort x, 1\/23, h in descending order.\nAnswer: 1\/23, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190 by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37546*c**2 - 50472*c wrt c.\nAnswer: -75092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -676, -1525, -2714, -4243, -6112?\nAnswer: -8321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*u + 9. Let d = 221 + -223. What is the second smallest value in u, -2\/7, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(2*o - o - 4*o + (0 + 0 + 2*o)*(-3 + 2 - 1) + 2*o + 3*o - 7*o).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1544 - -1546. Solve -b = f*b + 5*v - 22, -3*b + 18 = 3*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -138*a - 1231. What is the tens digit of q(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 76 - 362. Suppose -2*l + 170 = o, 5*l - 4*o - c = -0*l. Let q = 121 - l. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 7. Let u be l(11). Suppose -8 = 4*r + u*x, -x = -3*x - 10. Is 3 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkpe when four letters picked without replacement from kekeekepekkepppkk?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -17. Let a = -18 - -9. Let j = a - -13. What is the biggest value in j, 4\/5, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34144011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 3 (c) 4\/9 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 48*p**2 + 108*p - 1002. Calculate the least common multiple of b(10) and 4.\nAnswer: 9756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-4 + (5 - -13)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 1. Let u(l) = 2*l + 2. Let h(o) = 11*n(o) + 6*u(o). Let i be h(2). Solve -2*q + i = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8184 rounded to one dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a gram in milligrams?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i - 18. Let s(r) = -r**3 + 2*r**2 + 4*r + 1. Let f be 4\/(-10) - 34\/(-10). Calculate the smallest common multiple of w(-14) and s(f).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1165*f**2 + 9*f - 11. Let t(o) = 578*o**2 + 4*o - 5. Give -4*q(v) + 9*t(v).\nAnswer: 542*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(0*v**2 + 3*v**2 - v**2 + (v + 0*v - 3*v)*(-5*v + 2*v - 12*v)).\nAnswer: -64*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 1 = -4*x + 2*g, 0 = 4*g. Let l be x + (1 - (-1 - -1)). Do -7\/11 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 87*w**2 + 3486*w + 240.\nAnswer: 3*(w + 40)*(29*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -136, -250, -338, -388, -388, -326, -190?\n\"Answer: 2*m**3 + m**2 - 131*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**3 - 9*r**3 + 6*r**3 + 2)*(-4*r**2 - r**2 + 4*r**2).\nAnswer: -2*r**5 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*r - 38, -2*b + 5 = 4*r - 55. Let v be (0 - -1)\/(2\/28). Is v smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1460946 is divided by 730471.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by 33\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-4 - -4)) + 19 + -26?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 464302, 464322, 464342, 464362, 464382?\n\"Answer: 20*z + 464282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -878 + 0?\nAnswer: -878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6*3\/((-36)\/92)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-848)\/284 - (-81)\/27)?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = -43 + 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2554 divided by 2554\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81270 and 487620.\nAnswer: 487620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004168059362 to four dps.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -487812, -1951238, -4390266, -7804884, -12195080, -17560842?\nAnswer: -23902158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 213 + 215. Solve t = -8*w + 7*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 306\/(-7803)*1870\/(-22)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 1\/6*q**3 + 1\/10*q**5 + 0*q**4 + 0*q**2 + 0 + 3*q. Find the second derivative of m(b) wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -42.50858080835.\nAnswer: -43.00858080835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 - 48*w**2 - w + 24. Let y be z(24). Suppose -a = y, 11 + 5 = 4*d + a. Put -2, d, 8 in decreasing order.\nAnswer: 8, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 14. Let l = -20 + b. Let c = -5.0022 - l. Round c to 4 dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 47680752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 1038*((-51)\/9)\/(-1) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -296 - -301. Suppose -f = -z, -f = -0*j - 5*j + 1950. What are the prime factors of j?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1805 + -1804. Are -12\/247 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 3. Let i be f(1). Solve 3*w - i*a + 15 = 3*a, 4*w - a + 3 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from {m: 3, g: 1, c: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + -3. Let t(w) = 2*w + 2403*w**2 + 17 - 2387*w**2 - 2*w - 27. Let s(b) = 11*b**2 - 7. Determine u*s(r) + 5*t(r).\nAnswer: 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (54\/(-270))\/((-1)\/23830)?\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 14, l: 2, f: 1}.\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -10, -13, 4, -3, 1, 7 in decreasing order.\nAnswer: 9, 7, 4, 1, -3, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*z + 23 = -5*z, -5*f - 2*z + 23 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-8))\/(17\/136). Let p(n) = -n + 4. Let a(d) = d - 4. Let c(k) = -5*a(k) - 4*p(k). Let t be c(x). Which is greater: 4 or t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n. Suppose -851 - 269 = -16*f. Let x(k) = -24*k + f - 70. Determine x(d(b)).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -9\/2*j**2 - 1\/6*j**4 - 1\/10*j**5 - 10*j - 2\/3*j**3 + 0. Is i(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 304b0f (base 16) to base 13\nAnswer: 86a762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 279, 412, 547, 684, 823, 964, 1107?\n\"Answer: r**2 + 130*r + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.5? (a) -0.3 (b) -942 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 4*v**2 - 3*v + 9. Give w(6).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1060\/(-23) - -27 - 8\/(-92).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 23.3. Let k = -1.1 - -0.1. Let s = 3 + -3.4. Which is the nearest to k? (a) s (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -2 in descending order.\nAnswer: 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 336 = 9*s - 8*s, 3*g = -4*s + 265. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5324077 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 156323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, k: 2, d: 4}. What is prob of sequence kt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -66*g + 2085. Determine q(31).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 5*v = 5679. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 600 and 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 18. Let x(h) = -4 + 1 + 2*h + 2 + 2*h**3. Let o be x(1). Sort o, d, -1 in decreasing order.\nAnswer: d, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -192*u - 348. What is s(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 47 = 11*n - 38*n. Suppose -z - 3*d = -3, 3*z + 5*d + 0*d = 9. Suppose 0*m = z*m + 9. Put 1\/30, m, n in decreasing order.\nAnswer: 1\/30, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10211*l + 10211*l - 5*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -36, -1, 5.\nAnswer: -36, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 + 79. Factor -29*g + 80*g**u - 7*g - 4 - 161*g**2.\nAnswer: -(9*g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.1 - -10.4. Let o = 6 - f. Which is the nearest to 1? (a) o (b) 0.5 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.36430407 to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 8\/7, -3 in descending order.\nAnswer: 8\/7, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*p - 32*p + 19 - 2*p + (2 + 0 + 0)*(-5*p + 2*p + p) + p - 3*p + p + p - p - p + 7*p - 3*p + 8*p to the form a + k*p and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flcffcllcccll. Give prob of picking 1 l and 2 c.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393789.287 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v - 1\/8*v**4 + 0 - 2*v**2 + 1\/3*v**3. Let u(o) be the first derivative of -3*o**2\/2 + 2*o + 1. Give -5*g(a) + 4*u(a).\nAnswer: 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvxvvvxvvv. Give prob of sequence xvxv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344422624?\nAnswer: 2, 7, 13, 118277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 2*v**2 + 5*v + 155. Does 19 divide h(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -231844 - -231843.6. Let z = -4.5 + 0.5. Put -2, z, y, 2\/11 in descending order.\nAnswer: 2\/11, y, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f + 2 - 5*f**2 + 7 + f**3 - 3*f**2. Let x be r(7). Solve 2*c = -d + 2*d - 6, -4*d + x = -4*c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1821148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 3*f + 6, 0*c = -c - 5*f - 22. Suppose -c*y + 100 = -146. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*o + o - 3*j, 4*o - 2*j + 12 = 0. Let f be (o\/21)\/((-1)\/(-2)). Let d = 14086.95 - 14087. Which is the second biggest value? (a) d (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1968 and 53\/248?\nAnswer: 61008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 - -193. Let x be (56\/(-168))\/(-4*3\/1584). Calculate the highest common factor of r and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -0*r + 313 - 317, -323 = -63*b - 2*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 17)*(-1 + 0). Let b = t - -19. Suppose 25 = 5*l - 2*o, l + b*o + 12 = -o. Solve l*w - 10 = 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 5244222?\nAnswer: 5244217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114538 is divided by 1660.\nAnswer: 1658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 + -76. Let a be ((-20)\/120)\/(t\/(-12)). Let s(d) be the third derivative of d**4\/24 + d**3\/6 - 3*d**2. Let k(v) = -1. Determine a*s(r) + k(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*p - 20*p + 4*p**3)*(-2 - 3 + 3)*(1771 + 1503 - 1068) to t*p + q*p**3 + b + m*p**2 and give q.\nAnswer: -17648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -18\/37 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + k - 2 = -k, -2*k - 2 = -3*c. What is the remainder when 7 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0044 + -10.2444. What is p rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 4*b**3\/3 - 3. Suppose 3*y + 2 = 4*y. Let g(n) = 13*n**2 - 23*n**y + 6*n**2 + 6*n**2. Give g(q(i)).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -500 (base 6) in base 5?\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**3\/6 + 3*j**2\/2 + j - 2. Suppose 4*d = -n - 8, 4*n - 5*d - 7 = 3. Determine z(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -197 - -202. Solve v*t + 13 + 12 = 4*a, 10 = 3*a + 5*t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2938 by -13.\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -376528 and 0.313.\nAnswer: -117853.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 2048\/5 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/4 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 9:53 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 322994593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 10*q**2 - 13*q - 80. Calculate the remainder when i(-5) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l = 26*l - 54. Let w be ((-8)\/6)\/(8\/(-192)) - 4. Which is bigger: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-475)\/(-150) + (-13)\/6 + 2. Solve q*c + 5 = 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 6. Let h be p(-4). Suppose -2*l - 24 = h*l. What is the common denominator of ((-3)\/10)\/(l\/(-2)) and 37\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131719, -263441, -395163, -526885, -658607?\nAnswer: -790329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 + l + 45. Let c(n) = 7*n**2 + n + 89. Calculate 3*c(a) - 5*j(a).\nAnswer: a**2 - 2*a + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 692 + -688. Let l(d) = 2*d**2 - 3*d - 35. Let q be l(5). Which is the closest to q? (a) -3 (b) 0.7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.3 - 21.3. Let g = -0.6 - -0.1. Let w = g + 0.3. Which is the nearest to u? (a) -2\/3 (b) -1\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*r - 2108 = 0, 3*k + r = -k + 1684. Suppose 12*q = 8*q + k. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 22 + -5 - 5) + -25 + 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 5:33 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from vzvkkqdqqv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17, -1.1, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -4.26.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -242*h**3 + 42*h**3 + 452 - h**2 - 452 in the form c*h**3 + n*h + i*h**2 + f and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 4)\/((-5)\/((-5)\/(-2))). Suppose 3*v = -k - 0*k + 608, 2*k - v - 1181 = s. Suppose 3*y - k = 5*u, -7*u = 5*y - 4*u - 943. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/27, -2\/25, -8\/7, -3539 in decreasing order.\nAnswer: 2\/27, -2\/25, -8\/7, -3539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001001 (base 2) to base 16.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 89442915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-15))\/1)\/((-12)\/(-40))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 0*o**2 - 2*o**2 - 106*o.\nAnswer: -2*o**2 - 106*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 27 = 123. Let j(r) be the first derivative of r**4\/4 - 16*r**3\/3 - r**2\/2 + 23*r + 2. What is the remainder when 20 is divided by j(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 - 12*t**2 + 3. Let p be w(6). Let m be ((-2)\/(-6))\/((-2)\/(-12)). Suppose 4*l = -p*h + 344, 0*l - m*l = -4*h - 194. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -35. Suppose -o*b + 112 = b. Let s = -2 + b. What is the smallest common multiple of s and 20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.949998731 + 2.95. Round i to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0.3 (c) 89 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - x + 1, -3*r - 19 = -120*x + 115*x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3105493822.\nAnswer: 2, 239, 6496849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -10*t - 16. Suppose -k + t = -2. Solve x = 3*x - k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 12, 3, -9, 2 in descending order.\nAnswer: 12, 6, 3, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 11:48 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -36161, -36182, -36201, -36218, -36233?\n\"Answer: m**2 - 24*m - 36138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**4 - 18*u**3 + 24*u**2 + 132*u - 240. Let x(v) = -6*v**4 - 37*v**3 + 44*v**2 + 264*v - 480. Let t(q) = -7*p(q) + 3*x(q). Factor t(r).\nAnswer: 3*(r - 2)**2*(r + 4)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**7\/2520 + l**6\/72 + 7*l**5\/120 - 3*l**4\/4 + 14*l. Let b(t) be the third derivative of x(t). Determine b(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 58, 49, 42, 37?\n\"Answer: x**2 - 12*x + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16478)\/(-428) - ((-34)\/(-4) + (-8)\/(12\/3))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16 or 79656\/4963?\nAnswer: 79656\/4963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 11*s**3 + 2*s**2 - 2*s - 1. Let f(i) = 8*i - i**2 - i - 4*i**2 - 2*i + 3 - 33*i**3. Let b(y) = 3*f(y) + 8*o(y). Suppose -u + 2 = u. Give b(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -0.85?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29372, 117487, 264344, 469943, 734284, 1057367, 1439192?\nAnswer: 1879759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -156 - -98. Let l = i - -57. Is l bigger than -11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1004 + 153?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 57. Let g be z(-8). What is the remainder when 0 + 1 - (0 - 31) is divided by (-3)\/7 - (-28)\/g*-20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -169, -748, -1779, -3262, -5197, -7584?\n\"Answer: -226*p**2 + 99*p - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202559.\nAnswer: 7, 19, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 14*b**2 + 47*b - 18. Let f be t(9). Solve 20*k - 17*k + 15 = f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 12:35 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4*t - 16, 22 = -4*x + 5*t - 3*t. Let z be (3 - x)\/((-3)\/3). What is the tens digit of 3\/z - (-34)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*n + 2*u + 172, 5*u = -2*n + 126. Suppose 2*l + 60 = 3*j, 209*j - 212*j + 60 = l. Calculate the remainder when n is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275)*4 + -5.\nAnswer: -5 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 390\/(-2275)*40\/12*(-7)\/18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 180 - 178. Solve 0 = -q - v - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhnhhhhnnhhhhh. What is prob of sequence hhhn?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 577 = 597 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/54*3)\/(5\/(-45)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z = -22*z - 70. Calculate the remainder when 82 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4*-1*16. Let b = -3 - t. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2)*(-8)\/3. Suppose 0 = s*v + v - 28500. What is v rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 328 + -307. What is the remainder when 271 is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*u - 165*u - 2574 = 0 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 12:06 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(9) - (sqrt(9) - sqrt(36)\/sqrt(4)))*-6 + 1)**2 - (-6*(sqrt(85) + sqrt(85)*1 + sqrt(85)) - sqrt(85))\/(-3*sqrt(5)*-2).\nAnswer: -53*sqrt(17)\/6 + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 2. Let r(k) = -k**2 + 57524 - k**3 - 57524 + k. Give d(g) + 2*r(g).\nAnswer: -2*g**3 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 793*i = -13*t + 795*i + 4, -t + 6 = -3*i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 303, 308, 313, 318, 323?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 9570*d**2 + 4.\nAnswer: 9570*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.9 + 11.9. Let m = 1170 + -1158.18. Let n = z + m. What is n rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**5\/v*v\/(v\/(v*v\/(v\/v**21)*v)))**(-2\/7))**(1\/81) assuming v is positive.\nAnswer: v**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 209393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 1:12 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/107, 1, -1\/8, -17, 11 in decreasing order.\nAnswer: 11, 1, 2\/107, -1\/8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 times 16840.53?\nAnswer: -623099.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7618\/1655 + -1\/331. Find the common denominator of s and 17\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 v when three letters picked without replacement from {k: 2, v: 1, x: 3, u: 2, h: 2, r: 4}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - s - 1. Let v(b) = -39*b**2 + b + 2. Let x(y) = -c(y) - v(y). Let d be x(-1). Suppose -5*i + d + 18 = 0. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 - 35*c + 489. Give y(18).\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 5*k + 3 = 0, -u + 5*k = u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8381703689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = 180144*d - 180062*d. Suppose -2\/9*g**4 + 0 - 2\/3*g**2 - 2\/9*g - 2\/3*g**d = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 78568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8542\/(-10)*(-35 + 30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 31 - 20 + q - 12. Let h(f) = -f + 4. Let n be h(3). Determine a(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -6*w + 2*w - 97, 67 = -3*w - 2*g. Sort -4, w, -3, -2 in decreasing order.\nAnswer: -2, -3, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 10. Let x be n(5). Let l = 2 - 3. What is the units digit of (3 - x)*10*l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -g - 0*b + 412, 2*b = 2*g - 840. Suppose 28628 = -17*p + 29172. What is the highest common divisor of g and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - y = 3*y, f + 5*y - 19 = 0. Let m(h) = h**2 - h**2 - h**2 + 2 + h. What is m(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174766*-1.\nAnswer: 174766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/2 (b) -0.057 (c) 0 (d) 3\/7 (e) 8 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.604 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**7\/126 - f**6\/9 + f**5\/3 + 5*f**4\/18 - 7*f**3\/6 + 529*f. Let p(l) = 0. Calculate l.\nAnswer: -1, 0, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1327*a**6 + 17*a**4 + 518*a**3 - 123768268*a**2.\nAnswer: 159240*a**3 + 408*a + 3108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 15) to base 16.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 329983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2182 by -1091.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(136)\/(sqrt(8) + sqrt(32)))**2 - (sqrt(119)*2)\/sqrt(7)) + 3).\nAnswer: -88\/3 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1643720?\nAnswer: 2, 5, 13, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.62 - -1.24. Let x = 0.12 - i. Which is the nearest to -18? (a) 2 (b) 2\/11 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 2 = -4*h + 3*v, -4*h = v - 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t - 5. Give o(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 4*c - 0*z + 3*z, 80 = -2*c - 4*z. What is the least common multiple of (-320)\/(-3)*((-3348)\/c)\/31 and 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -12 (b) 4 (c) 1\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 3*r - 7. Let o be a(5). Let w be -4 - -2 - 1*2*-3. Solve -12*j + 8*j**w + j**4 + 9*j**o - 6*j**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 83*d**2 + 534*d + 2. What is w(89)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + -4. Let u be 15\/d*(-28)\/(-6). Let v = -2 - u. Solve 11 = 4*j - v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-9))\/(19\/133).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -40751494710 from 5.3.\nAnswer: 40751494715.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**3 + l**3 + l**3)*(3*l + 3*l - 7*l) - 614241*l**4 + 630904*l**4 + 2*l**3 - 2*l**3.\nAnswer: 16666*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008689 rounded to 7 dps?\nAnswer: 0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1679*-0.17293.\nAnswer: -290.34947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 + 2*d - 2. Let p(r) = 10*r**2 + 5*r - 7. Give -2*p(h) + 7*s(h).\nAnswer: h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/504 and -43\/28.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115995*o**2*u**2 + 2*o**2*u + 9*o**2 + 555231*o*u**2 - o - 3*u wrt o?\nAnswer: 231990*u**2 + 4*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, y: 2, u: 8}. What is prob of sequence aaau?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 1, d: 9, r: 7}. What is prob of sequence rrj?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944002350.\nAnswer: 2, 3, 5, 17, 13711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 8*h - 14. Let m be k(9). Suppose 11 = 3*g - 1. Let d be (1\/(-3))\/(g\/(-60)). Sort m, 6, d in descending order.\nAnswer: 6, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -16. Let m be 10*3\/12*2. Suppose -4*c = -m*z + 63, -z - 6 = c - d. What is the least common multiple of 7 and z?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 8*l + 7. Determine p(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 11:02 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 4*h + 39. Let r(c) = 3*c**2 + 9*c - 80. Let n(p) = -4*r(p) - 9*y(p). Let d(i) = -2*i**2. Determine d(n(u)).\nAnswer: -18*u**4 - 372*u**2 - 1922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 3*v**4\/4 + v**3 + 4*v - 240. Let h(q) = -q**3 - q**2 - 1. Let z(k) = -3*k - 71. Let s be z(-23). Give s*i(d) - 7*h(d).\nAnswer: d**3 + d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*k - 28, 0 = -94*k + 95*k + o - 6. Let y(s) = -s + 1. Let n(z) = -16*z + 8. Give k*n(c) - 8*y(c).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 8*i - 4. Let n be x(9). Suppose 0*m + 28 = -4*m. Let b(j) = -j**2 - 7*j + 4. Let l be b(m). Is l less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7))**(-2\/35))**(2\/3)*(x*x**6*x**(-4\/9)*x)**50 assuming x is positive.\nAnswer: x**(833024\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/9)\/o)**(-3\/34))**24\/((o\/((o*o**(-2\/7)\/o)\/o)*o)**(-9\/7))**(4\/25) assuming o is positive.\nAnswer: o**(67976\/20825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29956.7 rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 14*y**2 + 11*y + 32. Let n(u) = -u**3 - 21*u**2 - 23*u - 47. Let s be n(-20). Let c be z(s). Solve w = 2*d + c, -3*d + d + 6 = 2*w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) 0.2 (b) 34 (c) 0 (d) -1\/21 (e) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 4:28 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4912 - -4911. Let t(a) = -a. Let c(u) = 13*u**2 + 5*u. Give m*c(w) - 5*t(w).\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**3 + 6*p**2 - 6*p. Let w(h) = -h**3 + h**2 - h. Calculate n(m) - 6*w(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21\/737 - -527\/7370. What is the smallest value in -1\/4, -0.5, u, -2989?\nAnswer: -2989","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -3 (b) -4.4 (c) -1117 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 8. Let m be (3 + 113\/(-38))*4. Which is the smallest value? (a) 5 (b) g (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 20837596?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/19, -2\/11, -2, -18 in increasing order.\nAnswer: -18, -2, -10\/19, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqzmzrqmqmtlqtzzzzzt. What is prob of sequence lr?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 1846 and 1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19467 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2441945 - -8247719. Let x = c + -81213397\/14. Let u = 4820 - x. Find the common denominator of 53\/8 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 10*b**3 + 6*b + 0*b.\nAnswer: 10*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118583690 is divided by 1718604.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 696 divide 1808586608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -6*g**6 + 2*g**4 + 2711*g**3\/3 - 401. Find the third derivative of y(i) wrt i.\nAnswer: -2160*i**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 898*g - 389*g - 342*g = 319*g - 8208 for g.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 17*l**2 + 17*l - 1. Determine n(-18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 4. Let n be x + -1 + -1 - -17. Solve -2*f - 5*r + n = 0, 3*f - 4 = 4*f - 2*r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 + 42*n + 3. Let m be j(-14). Suppose -4*d + 20 = 0, 3*s - 4642 = -m*d + d. List the prime factors of s.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41\/3 - -13. Let g = 2157 + -2155. What is the nearest to q in g, 1\/4, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12 - (-520)\/39)\/(4\/180) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 5. Let f be c(-6). Sort 5, -4, f in ascending order.\nAnswer: -4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 4*s - 3. Let i be l(-5). Let z be 36*(5 - i - 2). Suppose 24*w**2 - 101 + 4*w**3 + z*w + 101 = 0. What is w?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.49532 - 0.495350381. Round l to six decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3623 - 19097 = 947*j + 10425 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - v. Suppose -2*z - 12 = -4*h, v*z - 2*h = -2*z - 8. Let l = 0 - z. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1111720756?\nAnswer: 2, 557, 498977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*(3 + (2*sqrt(832) - sqrt(832))))**2*-2.\nAnswer: -1513800 - 86400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y - 1. Let t be x(-4). Let b = t - -47\/4. Calculate the common denominator of b and -34.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/(-48))\/((-2)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Let b = -2.6 + -0.4. Let l = -8.2 - -7.8. What is the nearest to u in l, b, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -126.3\nAnswer: -137.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/7 + (10 - (-7190)\/14). Suppose 25 = 5*c, 2*c + 142 - h = -p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 q when three letters picked without replacement from {n: 2, o: 2, k: 3, a: 3, q: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -498461.\nAnswer: 1495383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175660505.\nAnswer: 3, 5, 26125789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*y + 311*z - 315*z + 20 + 44, -46 = 5*z - 46 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56471 - -56498.9074. Let j = -0.0074 + l. Let g = -28 + j. What is the nearest to g in 1\/2, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18 + 22)*(2 - 1). Suppose 2*c + 3*c - 30 = f, 36 = 3*c + 3*f. Let v(m) = -m**2 - m - 4 + c*m + 0*m. Determine v(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*j + 617512, 0 = -2*r - 3*j - 127375 - 119613. What is r rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*y + 1. Suppose 6*t - 4 = -y. Solve 0 = -4*k - t*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 6:55 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 24. Let p be 1\/1*-1 + -13. Is j\/((p\/(-20))\/(-7)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5786475343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 16. Let n = 1525 + -1523.0025. Let r = n - g. What is r rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**3\/3 + 10*j**2 + 4*j. What are the prime factors of y(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123 + 126. Suppose 0 = b*p - k - 512, -4*p - k = k - 696. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 55*i - 184. Calculate x(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from iiiiitiiiittiiii.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 29. Let z be (-1*8\/14)\/((-42)\/147). Is i smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 4 + 16. Suppose -3*s = 2*s + g*m - 7, 3*s - 5 = -m. Let l(h) = 3*h - 1. Let a(f) = 4*f - 1. What is s*a(n) - 3*l(n)?\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 61 + j + 8*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -0.2, 26, -2\/11, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-6)*(1 + 2). Suppose -2*k - x*t = -3*t - 100, -4*k + 2*t = -212. Let g = k - 27. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1346 - 0.3\nAnswer: -1346.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -864807 - -864806.9290037. Let n = -0.152 + 0.081. Let q = n - b. Round q to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/170)\/(((-18)\/(-80))\/(366\/(-488)))\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 - (44 + (28 - 67)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 12\/25 of a centimeter?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.7 + 0.3. Let y = 0.186 - -9.514. Let a = y - q. What is a rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 4:35 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 10:25 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*g + 10. Which is smaller: -120\/11 or g?\nAnswer: -120\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)\/g*g)**(-2\/19)\/(g**13\/(g\/g**(8\/5))) assuming g is positive.\nAnswer: g**(-1262\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 2*j - 1. Let l be k(-2). Let n be 4\/10 - l\/(-1). Let t = -0.195 - -0.495. What is the second biggest value in n, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443896 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 4*a - 3*a + 2*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -11*u**2 - 3*u + 1. Let y(v) = v**2 + v. Let w(h) = -p(h) - 4*y(h). Let f be 2\/(-4) - (-10)\/4. What is the units digit of w(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5 = -0*u. Let f(m) = m**3 - m. Let s be f(u). Let r = 0 + 5. Solve -g + s = r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 25*q + 73. Determine b(29).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j - 555 + 648 = 0. Sort 2\/5, 1\/3, j, 0.5.\nAnswer: 1\/3, 2\/5, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7429 + -7409. Solve 5*c + 5*x = n, -5*c + 16 = -4*x + 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408989.\nAnswer: 7, 58427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 102*q - 3495. Let b be o(36). Solve -124*a - 477 = -b*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 17. Suppose -1269 = -59*t - 36*t + 536. Give m(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -282148, -282152, -282156?\n\"Answer: -4*u - 282144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3278.32911 + 3107.33. Let h = 400 - 229. Let i = s + h. Round i to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 188, -116, 3, 5, -4 in decreasing order.\nAnswer: 188, 9, 5, 3, -4, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 7*i**2 + 51*i + 416. What is s(-8)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -2. Let i = 5.4 - 0.4. Let f = i + -4.9. Which is greater: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00094943 rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 8*l = 255. Let k be ((-70)\/4 - l)\/((-2)\/(-16)). Sort k, -5, 3, -3.\nAnswer: -5, k, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166\/3 + 56. Let l = 0.44 + 5.56. Let s = -10 + l. Which is the third smallest value? (a) n (b) -0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69808 to the power of 1\/2, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4536456 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u - 9. Let v be f(7). Let x(b) = b - 18. Let d be x(25). Solve 4*j - v = -a, -j - d = -a + 4*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 610 divide 10579415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or 443417?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 157.\nAnswer: 1\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24693, 98768, 222227, 395070, 617297, 888908?\nAnswer: 1209903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-15)*(1 - 5*2). Let r(q) = 6*q**3 - 2*q**2 - q + 2. Does 11 divide r(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxxffxf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 15*n**2 - 14*n.\nAnswer: -n*(n - 14)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 53*g**2 - 52*g - 158. Determine x(54).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**5\/60 + 2*u**2. Let k(z) = 5*z**2 + 6*z + 1. Let y(j) = k(j) + 4*p(j). Determine y(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 50430988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2521 and -30.\nAnswer: -75630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 1:30 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 725486.4 weeks?\nAnswer: 438774174720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6681, -2, -4, 1 in increasing order.\nAnswer: -4, -2, 1, 6681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*q**3 + 66*q**3 + 56*q**3 + 53*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 381 and 57275349.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, e: 2, d: 7, r: 2, g: 2, t: 1}. Give prob of picking 3 d and 1 r.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*i**6 + 4*i**2 - 17?\nAnswer: 9720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -2 (c) 5 (d) 994 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-5) - (1\/(-1) - -4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18363 rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2700 + -2699.8. Let g = -0.31 - -0.3. Which is the second biggest value? (a) -1\/2 (b) f (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158794405?\nAnswer: 5, 7, 11, 277, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 15, 2*a + 5*c = -a + 2643. Suppose 7*h = 4*h + a. Let t = 609 - h. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -2, -0.6, 4, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -580 - -206?\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -12. Let g = 7 - 7. Let z(x) = -x**2 + x + 60. Let a be z(g). What is the greatest common factor of h and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 3*i + 0*i)*(-4*i - 2*i + 4*i)*(-i**3 + 0*i + 0*i).\nAnswer: 12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0182 + 0.3398. Round f to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 8:22 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, -44.617, 2\/11?\nAnswer: -44.617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**2 - 2*b + 1. Let i be w(1). Suppose i*n = -n. Suppose n = 5*l + 3*z - 60, 2*z - 34 = -3*l + 2. Solve 3*c = -l - 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1047399, 2094787, 3142175, 4189563?\n\"Answer: 1047388*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**3 + 2*n**2 + 2. Let u = -7 - 14. Let j be (-14)\/u - 4\/(-3). Let m(r) = -r**2 + 5 + 2*r**2 + 4*r**j + 6*r**3. Determine -5*a(y) + 2*m(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**3 + 19*h**2 + 14*h + 21. Let r(s) = -10*s**3 + 28*s**2 + 21*s + 31. Let p(u) = -5*r(u) + 7*v(u). Let n be p(8). Solve 2*f - 4*f = n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2220220201 - -111?\nAnswer: 2220221012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -321914? (a) 0.1 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15\/4? (a) -12 (b) 2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.391 + -0.091. Let n = -416\/15 + 85\/3. Let s = -5\/52 - 2\/13. What is the third biggest value in n, j, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**3*h - 10*d**3 - 89*d*o - 89*h*o - h - 4*o with respect to d.\nAnswer: -6*d**2*h - 30*d**2 - 89*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018033 to 7 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*b + 1 + 10 - 11 - 7*b**2 + 6*b**2 to the form z*b + w*b**2 + l and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in centimeters?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 8:08 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -4, 4, -3 in descending order.\nAnswer: 4, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 79 = 9*h, 2450387*h + 4*g + 80 = 2450384*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -16*w + 2. Suppose 0*a + 2*a = 0. Let d = 3 + a. Let c be b(d). Round c to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/40)\/((-52)\/10). Is 0 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9248\/23 + 402. Let f(p) = p**2 - 3*p + 2. Let h be f(2). Is h != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 555379 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6185984 and 110464.\nAnswer: 6185984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 5670.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.596287 to 2 decimal places.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 2688.\nAnswer: -107.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2850 times 0.015948?\nAnswer: 45.4518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29433 (base 10) in base 7?\nAnswer: 151545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*d = 4*o - 107, -3*o + 104 = -2*d. Let w = -37 + o. List the prime factors of 3 + -2*(w - 105\/6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8*c - 4*y - 5 = 0, 0 = 4*c + 3*y + 4. Let i be c\/6 + 5\/102. What is the nearest to 0.2 in -2\/9, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 110, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 + 2*s**2 - 2*s - 1. Let w(k) = k**2. Let v(x) = -j(x) + 4*w(x). Let u be 2\/6 - 4\/(-6). Suppose 2*q - q + u = 0. Give v(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2911367296 to the power of 1\/3, to the nearest integer?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*u + 21, u = -124*i + 128*i + 17. Let w(o) = -22*o + 7. Let k be w(-5). What is the greatest common factor of u and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (945\/(-27))\/(-35)*(-12)\/(-66)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**6\/90 + 211*f**3\/6 - 233*f**2. Let t(r) be the first derivative of z(r). Let p(c) = 2*c**2 - 11*c. What is p(t(n))?\nAnswer: 32*n**4 + 44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.29521 to the nearest integer.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -334182 not equal to -334174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**6\/120 - p**5\/12 + 7*p**4\/24 + p**3 - 4*p**2. Let x be n(-6). Let v(q) = q**3 + q**2 + q. Calculate v(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1207756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*p**2 + 97809*a**2 - a*p**2 + 87*a*p - 78*p**2 wrt a.\nAnswer: -4*p**2 + 195618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69a (base 14) to base 12.\nAnswer: -914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 739217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -10*b**3 + 8*b**2 + 22*b + 7. Let a(c) = -110*c**3 + 88*c**2 + 242*c + 78. Let m(u) = 6*a(u) - 68*o(u). What is p in m(p) = 0?\nAnswer: -1, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36287943?\nAnswer: 3, 2083, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-195)\/(-120))*3060\/272.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 8*s + 4. Let k be g(-8). Suppose -5*u + 33 = -f, 2*f + 3*u - 31 = k*f. Is 31320\/32 + (-2)\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*q = -64. Suppose -33 = -t + q. What is the remainder when t is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 - 985*r + 5763. Let i be q(6). Let m = 0.2 + -0.7. Which is the closest to 0.1? (a) 1 (b) -1\/3 (c) i (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2. Suppose 5 = -2*k + 7. Let a be (k + -4)\/(3\/(-8)). Let c(o) = -3*o - 2*o - 2*o + a*o. What is u(c(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 8359\nAnswer: -4179.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -0.144, 945, -0.4?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 23 = 3*l, 4*a - 4*l + 15 = 3. Let z = -149 + 2237\/15. Determine q so that 2\/15 - z*q**a + 0*q = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1637 and 1793312219.\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -407078 by -3.\nAnswer: 407078\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 a factor of 133023000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2)**(-36)\/(b*b*b*(b**(1\/3)*b)\/b)**(-28))\/(b*b**(-6)*b\/(b*b**(11\/2)))**(32\/3) assuming b is positive.\nAnswer: b**(400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3003011 (base 4) to base 11.\nAnswer: 9420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2455865*x**2 - 1692856 wrt x.\nAnswer: -4911730*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 11048*c**2 + 24 - 183 + 11048*c**2.\nAnswer: -2*c**3 - 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 3:22 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3338347 (base 13) in base 9?\nAnswer: -32475707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 986*x**2 + 4843 - 4843.\nAnswer: 986*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9302*0.5.\nAnswer: -4651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-10)\/(-2 - -12))\/((-1)\/103)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -980, -4528, -10444, -18728, -29380, -42400?\n\"Answer: -1184*j**2 + 4*j + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9386 + -2624. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 293. Suppose 0 = -2*u - 3*x - 2*x - 5, 3*u - 1 = x. Is o(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1836146.\nAnswer: 2\/918073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/180*(-1)\/(1\/(-5))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8465, 33632, 75545, 134204, 209609?\n\"Answer: 8373*k**2 + 48*k + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 7. What is the remainder when (4\/(-8) - -1)\/1*(322 - 24) is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88964 = 8*n + 15*n. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -17. Let w(i) = i**3 + 3*i**2 - 2*i - 2. What is the remainder when p is divided by w(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/59 in 2, -5, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 172\/15 + -3379\/330. Calculate the common denominator of x and 115\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12364985 is divided by 6182474.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f + 11412 = 52*f. Does 24 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/15)\/((c**20*c)\/c))\/(c**(-10)\/(c*c*c*c\/(c*c**14)*c*c)))**23 assuming c is positive.\nAnswer: c**(-6601\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2661 is divided by 121.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4240 and 5300?\nAnswer: 21200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1373919*t**2 + 3*t - 10047763 wrt t?\nAnswer: 2747838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y - 3*y = 7656. Let d = -264 - y. Factor d + 3*r**3 + 2\/3*r + 11\/3*r**2.\nAnswer: r*(r + 1)*(9*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (204 + 17 + 709)*(0 + 0 + 3*m)*(m**4 + 3*m**4 - 6*m**4).\nAnswer: -5580*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*l + 392, 4*t - 5*l + 980 = 9*t. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 204*d + 1528. What is the thousands digit of u(26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 + 40845967. Let v(z) = 8*z. Determine m(v(k)).\nAnswer: -128*k**2 + 40845967","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(3\/28) - 2. Suppose -n - n + l = 0. Let z = n + -8. Solve -c = -0*c - z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/((-20)\/(-3)*-1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1088*f**2 - 1080*f**2 + 5411*f**2 - 1080*f**2 - 1074*f**2 - 1078*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 36 = -126. Suppose 0 = 8*x - 5*x - k. Differentiate 1 + 2*n**4 - 9 + x with respect to n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3))**33*i*i**(3\/4)*i*i**(1\/2))\/((i**(-2\/3)\/(i*i*(i**(-1\/5)*i)\/i*i*i))\/((i*i**(-5))\/i**(-1\/3))) assuming i is positive.\nAnswer: i**(521\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 643 - 221. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 369.98 - 366. Let w = -0.02 - l. Sort 0, -5\/3, w.\nAnswer: w, -5\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 6*w**2 + 7*w - 2. Give p(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) - 0 - 77\/(-70). Let g = 3\/136 - -13\/136. Which is the closest to -1? (a) h (b) 1\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h**2 + 620*h + 13567. Calculate k(-69).\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -303 (b) 0 (c) 2\/7 (d) -12\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 w when four letters picked without replacement from wybwwyyw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/13952 and 113\/768.\nAnswer: 83712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25765.27 millennia?\nAnswer: 25765270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/50)\/((-26)\/(-65))*3\/2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156613740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 284727903 to the power of 1\/2, to the nearest integer?\nAnswer: 16874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284 + 63 = -13*l. Let t(h) = -h**3 + 17*h**2 + 2*h - 27. Calculate t(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -227\/11970 and -137\/351948.\nAnswer: 702136260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 12 = -4*z, y = -2*y - 5*z + 20. Let w = 22 - y. Suppose 2*f + 4*n = w, 0 = f + 5*n - 4 - 8. Solve 0 = 3*g - 3*q - 3, -f*q = 5*g + 2*q + 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 12:52 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*k - 84. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1398 (b) 5 (c) -1 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 306 - -36. Let a = -145 + n. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8380467*f*p*q**3*z + f*q**2*z - 16*f*q*z + 13524*f*q - 2*f + 2*p*q**3*z - 3*q**3 wrt p?\nAnswer: -8380467*f*q**3*z + 2*q**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 317280*l + 6291662400.\nAnswer: 4*(l - 39660)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -3b7?\nAnswer: 3b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (66\/(-9))\/1 + 8\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.7 - -18. Sort o, -0.6, -3 in decreasing order.\nAnswer: o, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 12:03 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -11*w**2 - 67*w + 7. Let v be l(-6). Solve 4*y - v = 3*n - 2, 5*n + 7 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -29. What is the remainder when c is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1593 = -4*n + m - 6*m, 5*n + m = 1986. Let h = 565 - n. What is the highest common factor of h and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 1. Let m(i) = -35*i - 1 + 19*i + 17*i. Let o(v) = v**2 + 6*v + 3. Let x be o(-6). Suppose x*q = 3*b, 4*b - b - 4*q + 1 = 0. Give b*m(l) - 3*s(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 3. What is the third derivative of -117 - 5*z**2 + 117 + 3*z**p wrt z?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-5\/3))\/(a\/(a*a\/a**(-6))) assuming a is positive.\nAnswer: a**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*z - 9. Let c be z*1\/6*2. What is y in -1\/3 + y - c*y**2 = 0?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/2)*i\/(i**(-2)*i)*i**4\/(i\/i**0))**48 assuming i is positive.\nAnswer: i**312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 734486 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 401875 to the power of 1\/2, to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 7*q - r = 92, 2*r + 120 = 4*q. Suppose 0*n - 3*n = -6. Suppose 0 = n*m - q - 6. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -630 - -4401\/7. Is a at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 12\/359, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/20575421?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 + 507\/5. Let i = -2.1 + 2.3. Which is the closest to d? (a) i (b) -4\/7 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 2:19 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 412703 + -412702.329724. Let s = q + -1.770238. Let p = s - -1.1. Round p to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*t = 108*t - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 358680143 to the nearest integer?\nAnswer: 18939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 30. Let c(s) = 2*s**2. What is u(c(x))?\nAnswer: 4*x**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137773, 275511, 413249, 550987, 688725?\nAnswer: 826463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 98.3634 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75148739*y**2 - 61124782*y - 1 wrt y?\nAnswer: -150297478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/27 + (-16)\/(-9))*1. Factor -1\/2*r**3 - 1\/2*r + 0 - r**l.\nAnswer: -r*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.3 - 16.3. Let z be ((-6)\/(-8))\/(1\/4). Let y = -1 - -1.4. What is the nearest to z in -2\/3, m, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 3*p - 31, 2*y - 673 = 2*p - 687 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -3\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2 = -3*o + 5*o, -5*o = -4*s - 2. Solve o*k - 10*k = -40 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330 and 2089670?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 219 and 0.224.\nAnswer: 49.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63054899345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 x when four letters picked without replacement from {h: 5, p: 2, a: 11, b: 1, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-66)\/(-4)*2\/3. Let j(t) = t**3 - 10*t**2 - 12*t + 11. Let b be j(u). Solve -i - 2 - 2 = b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) -4 (b) -0.01 (c) -38\/15 (d) 4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -10*d**3 - 104*d**2 + 639*d - 58. Calculate s(6).\nAnswer: -2128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5972 divided by 4\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0354534 decades?\nAnswer: 4.254408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.101247563 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -5. Let x be 0\/(2*(s + 2)). Suppose -40 = 7*i - 17*i. Sort x, i, 1.\nAnswer: x, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1028*i = 1025*i - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 2)*(-1 + 4 + 2)*(14*c - 12*c - 16*c)*(2*c + 3*c - 3*c).\nAnswer: -420*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from {g: 9, a: 9, x: 1}?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4078\/4317 or -2?\nAnswer: -4078\/4317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 1:19 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 0 - 4 + 2 + 4*b - b**2 + 7. Let q be v(5). Put -1, q, 3 in descending order.\nAnswer: 3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/6 - 511809*f + 785845357443\/2 = 0. What is f?\nAnswer: 1535427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-9)\/6*(-4)\/12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 3*f + 3*f)*(6*f**3 - 3*f**3 - 4*f**3 + (308 - 308 + 6*f)*(1 - 2*f - 1)*(0*f + 0*f - 2*f)).\nAnswer: 46*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6345275 divided by 5.\nAnswer: 1269055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnl when three letters picked without replacement from {y: 2, x: 1, l: 2, z: 1, n: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-10)*10\/4. Suppose -4*y = 3*k - 1 - 1, -d*k = -2*y - 20. Calculate the least common multiple of 2 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14786657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20453, 20457, 20463, 20471?\nAnswer: 20481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**16*q)\/(q*(q\/(q\/((q**(-1\/5)*q)\/q)*q))\/q) assuming q is positive.\nAnswer: q**(91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(363) - -2*sqrt(363)) - (5 + 2*sqrt(18)\/sqrt(6))**2.\nAnswer: -33 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -68 from -416573.\nAnswer: -416505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36738525, 36738521, 36738515, 36738507, 36738497, 36738485?\n\"Answer: -u**2 - u + 36738527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446 = 99*o - 346 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1 = 5*y - 2*y, 0 = 5*y + 2*o - 12. What is the smallest common multiple of 66 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/2142 and 64\/81.\nAnswer: 19278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 73853?\nAnswer: -73850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2 - 3 - l - 3. Let i be p(-11). Suppose -i*h + 135 = -291. What are the prime factors of h?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1006594284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1294929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - -2 - (102 + -145)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3360, -3362, -3366, -3372, -3380, -3390?\nAnswer: -3402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 4:10 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132543*s + 441 = 132564*s for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*j - 17. Suppose -p - 236 = -j*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 904244 to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 248 + -253. What is the closest to 0.12 in t, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 4\/7, 5 in increasing order.\nAnswer: -1\/7, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21700, -33699, -45698?\n\"Answer: -11999*g - 9701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 10, 18, 30, 46?\n\"Answer: 2*v**2 - 2*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -146 + 145.999508. What is z rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 6:18 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4 - 11 = 0. Suppose 6 = -j - i. What are the prime factors of 4*1\/(-4)*j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s. Let r(i) = -504*i**2 + 98*i + 49. Let f(o) = 21*o**2 - 4*o - 2. Let m(l) = 98*f(l) + 4*r(l). What is m(z(c))?\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/18, -2, 0.1, 4, 0.5, 64 in ascending order.\nAnswer: -2, -1\/18, 0.1, 0.5, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**3 - 1491 - p**3 + 1791 as b*p**2 + t*p**3 + y*p + q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + 2*sqrt(176)*-6 + sqrt(88)\/((sqrt(224)\/sqrt(4))\/sqrt(7)) + 2.\nAnswer: -47*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -8 - 0) + -2 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - 1*sqrt(119)*-1)\/sqrt(7).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 + -183. Solve 3*u - 5*h + 13 = q, u + 3 + 13 = 4*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (154\/(-847) + (-61)\/(-396))\/(2 - 4).\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 11*k**2 + 13*k + 6. Let r be d(-10). Let i be 1\/2 + 972\/r. Let u = i + 45. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3224533.\nAnswer: 13, 248041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.56 - -486.56. Let x = 460 - m. Which is the third smallest value? (a) -0.3 (b) x (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 66*l - 48)*(0*l + 0*l - 2*l**2).\nAnswer: 132*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 32 = -72. Let p = 0 - -1. Sort -2, p, t.\nAnswer: -2, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gmmmqaqglrmmraaqmqg.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 16 + 1)*(1 - 1 + 2*j)*(2 + 0 + 2).\nAnswer: 48*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -324763, -324810, -324857?\nAnswer: -324904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1296504 and 594?\nAnswer: 3889512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 45*o**3 - 48*o**3 - o**2 + o**2.\nAnswer: -3*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**5\/120 - f**3\/6 + f. Let w(u) be the second derivative of g(u). Let q(z) = 3*z + 24966893 - 24966893. Give q(w(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -360 + 354. Calculate the remainder when (n\/(-9))\/(4\/570) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47\/7 + 209\/28. Suppose z*t**3 - 3*t**2 + 3*t + 0 = 0. Calculate t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i**6*y**3 + 10*i**4 + i**2 - i + 7*y**3 wrt i?\nAnswer: -480*i**3*y**3 + 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13, 4, -3, -4, -1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 7 and 6630 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from xrrk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 7*g - 5. Let c be p(6). Let u be (2 - -8)\/((-7 + 9)*1). Let q(a) = 3*a - u*a + 10 - 5 - 4 + a**2. Give q(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*q**3 - 71*q**3 + 15*q**3)*(-3*q + 3*q - 2*q) + 3*q**3 - 3*q**3 + 4*q**4 as x + i*q**2 + a*q**4 + o*q + k*q**3 and give a.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 72, 150, 220, 276, 312, 322?\n\"Answer: -a**3 + 2*a**2 + 79*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2299?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -513275?\nAnswer: -256637.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 6. Suppose 0 = 5*l - h*y - 17, -5*y = 3*l - 9 - 16. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*g - 619*g - 168*g.\nAnswer: -587*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11350 * 1069\nAnswer: 12133150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20877\/41 or 508?\nAnswer: 20877\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - -28)*(-6)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 143, -2, -29, 14, 5, -628 in descending order.\nAnswer: 143, 14, 5, -2, -29, -628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -146*y + 15. Let k be m(-3). Suppose 42*i - 45*i + k = 0. Differentiate 13 + i*j**4 - 3*j**2 - 143*j**4 + 3*j**2 wrt j.\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-660)*6*-22.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 187298316 divided by 5508774\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2756730, -2756737, -2756746, -2756757?\n\"Answer: -c**2 - 4*c - 2756725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -976708921 or -976708920?\nAnswer: -976708921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s - 450. Suppose -s*w + 5 = -145*w. Let a be (w - (-3 - 0)) + (1 - 2). Solve a*z + 6 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6541)\/(-341) - 19 - (-872)\/44?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*g - 31 - 59*g + 32 as d + y*g and give y.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 612*w**3 - 662*w**3 - 884*w**3 - 1062*w**3 - 597*w**3.\nAnswer: -2593*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 125910294139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/3 and 74.257 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.06476 or -1?\nAnswer: -0.06476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*l + 2*l - 2*l + (1 - 2 - 1)*(-3*l + 4*l - 2*l))*(-15 - 7 + 16 - 8*l) as x*l + r*l**2 + c and give r.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 477 and 18537.7679589.\nAnswer: 19014.7679589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514146 take away 1.7357?\nAnswer: 1514144.2643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4359*i**2 + 271*i**2 - 2138*i**2 - 5141*i**2 to b*i + x + m*i**2 and give m.\nAnswer: -11367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*g + 881*d**2 - 2*d*g*t + 822*d*g + 2*g + 7467536*t with respect to d.\nAnswer: 4*d*g + 1762*d - 2*g*t + 822*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/94? (a) 3\/5 (b) 0 (c) -2\/7 (d) 237 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -3170*r + 3169*r + 4*i, -2*r - 5*i = 54 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 10. Let r be b(-5). Let q(m) = -m + 2. Let z be q(r). Suppose -2*x - z - 6 = 0, c - 3*x = 147. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104493 is divided by 116?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 - 43 - 7*o - 19)*(0 - 6 + 3).\nAnswer: 21*o - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1537543.\nAnswer: 7, 219649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + 1 - 6*x - 7*x - x - x**3 + 12*x - 2*x**4 as s*x**4 + p*x**3 + l*x**2 + i + k*x and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**2 + 20 - 27*t**3 - 18*t**3 + 100*t + 19*t**2 + 11*t**2 = 0.\nAnswer: -1, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-4 - -2) + (11 - 4). Suppose -2*f + h = -1. Solve f*g - 12 = -2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/369? (a) -0.1 (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 e, and 1 h when four letters picked without replacement from uerrreheue.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 34, 494105.\nAnswer: -2\/7, 34, 494105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -659\/322?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23871785 by -5887.\nAnswer: 4055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**4\/4 + 3*r**3 + 3*r**2\/2 - 9*r + 3. What is the units digit of m(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3\/18*-4*777\/(-74)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436197884*w - 436197884*w - 2 - 59*w**3.\nAnswer: -59*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 150 - 74 = 0. Let y be 39\/5 - (-2)\/10. Suppose 2*b - y = 3*k - 4*k, -4 = b. What is the greatest common divisor of s and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, u: 1, t: 4, m: 2, n: 6}. Give prob of picking 1 u and 2 t.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -101*a + 93090 + 641180. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + (4*sqrt(242)*-2)**2 + -5 - (sqrt(242)*1 + 4)*5)*-2.\nAnswer: -30926 + 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -14*(77\/(-14) - -5). Suppose -d + 33 = 12*w - a*w, -3*w = 2*d - 24. Let r(s) = -2*s + 5. Calculate r(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4449313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/(-7) - (-4)\/(-1). Factor 2\/7*p - y*p**2 + 2\/7*p**3 + 0.\nAnswer: 2*p*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4270769 at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 76? (a) -2\/7 (b) 0 (c) 0.4 (d) 0.39 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -58c5 (base 13) in base 14?\nAnswer: -47aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/(7*(-15)\/(-56))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/8, -11, -0.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*u = -u - 79968, 0 = -f - 4*u + 26656. Suppose -4*t = -5*m + f - 3656, 3*t - 23000 = -5*m. What is m rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4 + 45\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 271 - 389. Let i = q + 120. Does 31 divide (-606)\/(-15)*(12 - 2)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 2 - (6 - (12 + -6))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -1 + (0 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -8 + (-30 - (-20 + -7)) + 51?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1385190 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14506 (base 8) to base 12\nAnswer: -38b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u. Let a(f) = -f - 1. Let d(r) = -5*r**3 + r**2 + r. Let h be d(-1). Let z(c) = h*k(c) - a(c). What is the first derivative of z(v) wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 - 2*g + 1. Let q be d(1). Which is the nearest to q? (a) 0.2 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182.7 + 166.932. Let x = -18.192 + 18.26. Let a = i + x. Round a to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 431817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 2*u**2 + 3*u**2 - 2*u**2 + u**3 + 2*u**2. Let f be b(-4). Suppose 2981454 = -f*y - 7258546. Round y to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2. Let i(w) = -79*w**2 - 3*w - 3. Calculate i(t(r)).\nAnswer: -316*r**4 - 6*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-8 - (-2 - 4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25634988 + -469735520255\/18324. Calculate the common denominator of h and -13\/22.\nAnswer: 201564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*b - 153 - 109, 0 = 3*b - 5*j - 392. Let q = 112 + b. Does 41 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 - 39*y + 678. Let o be b(-22). Calculate the greatest common divisor of o and 4732.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/11 + 18*x**3\/11 - 36*x**2\/11 - 136*x\/11 + 240\/11 = 0.\nAnswer: -10, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*k - 11, 2*h = -5*k + 2*k + 22. Suppose 18 = t - 21. Let u = t + -34. What is the least common multiple of u and h?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13180195 = 431*k - 13175885 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 7*x**2 - 9*x - 7. Let t be c(8). Let z = 53 + t. Factor -8*s**2 - 16*s**3 - 18*s**3 + 4*s**4 + z*s**3.\nAnswer: 4*s**2*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.20066 + -1.20066. Which is the nearest to 2? (a) -11\/12 (b) 1 (c) -3\/7 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by 2059\nAnswer: 60\/2059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 54 = -2*b, -6*k + 27 = -3*k - 3*b. Solve -6*p = -2*p - k, -2*g - 11 = -5*p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - j**2 + j - 2. Let c be n(-2). Let q = 0.536 - 0.106. Let i = q - 0.03. Which is bigger: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9)\/w**(-11)*(w\/w**(-3\/11))\/((w*w**(1\/8))\/w*w))**(-34) assuming w is positive.\nAnswer: w**(-147101\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6 + 3 - 1 + 2 + 0 + (3 - 1 - 4)*(2 - 3 - 1) + 1 - 1 - 2 + 2 + 6 - 2)*(-g**4 + g**4 - 2*g**4).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**5 - 6608*h**4 + 2619744*h**3 + 91691008*h**2 - 397989824*h + 408363264 = 0.\nAnswer: -36, 2, 842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 109, 199, 313?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hziz when four letters picked without replacement from {z: 4, y: 1, l: 7, i: 1, h: 3}?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8110 - -13050. Is k a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aauusaaulka. What is prob of picking 1 u and 2 a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24341, -24240, -24071, -23834, -23529, -23156, -22715?\nAnswer: -22206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4.343 (b) 12 (c) -5 (d) -2\/5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1170720 and 17344.\nAnswer: 2341440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 331442023 - -4?\nAnswer: 331442031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 d when four letters picked without replacement from {n: 3, d: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*o**2 - 97*o**2 - 1007*o**2.\nAnswer: -837*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*s - 28 + 28)*(3 + 1 - 6)*(3*s**2 - 2*s**2 - 2*s**2) in the form d*s**2 + t + q*s**3 + a*s and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40, 93, 172, 271, 384, 505?\n\"Answer: -i**3 + 19*i**2 + 3*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 3*b**2 + 4*b. Let z be g(-4). Suppose z*f - 4*f = -16. Solve -6 = y + d, d = -f*y - y - 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71064485.\nAnswer: 5, 2161, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*v + 2 - 1 - 30*v to the form d*v + q and give d.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1017, 1239, 1579, 2043, 2637?\nAnswer: 3367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*-2*sqrt(4320))\/(sqrt(1210) + -3*sqrt(1210) + -3*sqrt(810) + sqrt(10)))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07516 + 0.02484. Is 3145 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s*v**3 - 12*s*v**2 + 76*s*v - 6*s + 1003854*v**3 wrt s?\nAnswer: v**3 - 12*v**2 + 76*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 240 + -273.25. Let u = -32 - t. Let a = u + -0.45. What is the nearest to a in -0.4, -1\/7, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((135\/(-20))\/((-6)\/(-4)))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 89*z + 1408. Give c(-16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.22 times -4799456?\nAnswer: -5855336.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Suppose 0 = -v*h - 5, 4*p + 5*h - 35 = 68. Let n = 80\/3 - p. Which is the biggest value? (a) n (b) -0.3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9\/10 of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 48872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 14 = -x + k, 5*k + 19 = -2*x. Let a be x\/(-60) + 28\/10. Suppose 4*s - 5*i - 169 = s, 0 = -2*s + a*i + 113. What are the prime factors of s?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487 = -2*f + 3*b, -b + 2*b = -f + 241. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + 324. List the prime factors of c.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1404133?\nAnswer: 1404133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 399\/(-17955) - 1598\/990.\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + 563. Let i = -610.2 + u. What is the second smallest value in 5, i, 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5616)\/(-1152))\/(26\/8)*-36.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 42*x**2 - 17*x - 17. Let h(j) = -14*j**2 + 6*j + 6. Give 17*h(c) + 6*t(c).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 7) to base 12.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014 times -245726?\nAnswer: 3440.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31004 (base 6) to base 2.\nAnswer: -1000000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 25*g - 74. Let s be l(-1). Sort -2, -3, s in descending order.\nAnswer: -2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29362 - 1983?\nAnswer: 2759b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/142, 3\/4, 0, 0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 383938843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23)\/3 + 1\/(-3). Let l be (m\/(-4))\/((-2)\/(-4)). Let u = 1028 - 1028. Solve -l*w - 28 + 8 = u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 1\/6, 0.6, -74 in decreasing order.\nAnswer: 0.6, 1\/6, -27, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91730*a**2 - 33151*a wrt a.\nAnswer: -183460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m**3 - 2*m - 1. Let w be k(-1). Let j = -1 - w. Let h(y) = -y**3 + 6*y**2. Determine h(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12000011000202 (base 3) to base 15\nAnswer: -3782cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 446511 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 2*x + 2*x + 4*p, -5*x + 160 = 4*p. Let y be x\/(-14) - 2\/(-7). Is 9 a factor of y\/(-13) + (-3208)\/(-104)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238158632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185915674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 3*j**2 + 6*j + 5. Give b(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 186*q + 2832 - 414 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 108*x**3 + 11*x**2 + 55*x - 5. Is r(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -18*f**2 + 129*f + 3. Calculate c(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 - (-4 - -10) - -96?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23711 and -18602.\nAnswer: 441072022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1614 is divided by 182?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -162312084*m + 185747039?\nAnswer: -162312084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 4 - 49*z + 52*z.\nAnswer: 3*z - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -875, -0.5, -4\/7, -4, -2\/11, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -535*k - 192 wrt k.\nAnswer: -535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 13. Let y = h + 52\/5. Let t = 2.1 - 2. Which is the biggest value? (a) -4 (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -2*2*(sqrt(125) + -2)*3*-4)*2)**2.\nAnswer: -184320*sqrt(5) + 1188864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*n + 17767 = 0, -4*f = 111*n - 106*n - 14219. What is the remainder when f is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2058 and 4263?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108364217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 952.2 - 952.6. Let p be 4\/10 + 151\/35. Sort -2, y, p, -0.2.\nAnswer: -2, y, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*t - 6*t + t)*(1 - 1 + t) + (0*t + 4*t - 3*t)*(-2*t + 54*t + 22*t))*(t + 2*t**2 - 2*t - 8*t**2).\nAnswer: -438*t**4 - 73*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 2*n + 67 = 14*u, -4*u + 112 = 3*n. Calculate the remainder when 264 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 21 = 3*z - l, 4*l = 5*z - 13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**4\/4 + 2*h**3\/3 - 3*h**2\/2 + 2*h - 4. Let y be (-26)\/(-5) - (-2)\/(-10). Let g = y + -3. Calculate n(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 756407 + g - 756407.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5296, 20871, 46824, 83149, 129840?\nAnswer: 186891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 10:06 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - ((4 - 11) + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/18)\/((-1)\/30*4)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 6*f - 2. Suppose 2*q + 0*q = -3*t + 11, 3*t - 23 = 4*q. Let w be x(t). Solve m + w = -2, 5*c + 2*m = -5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3174868 (b) 4 (c) 1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-110)\/(-36))\/(-1)*3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*d + 32*d - n = -1, -2*d - 3*n = -3. Solve 3*g - 8 = 5*p, 2*p - g + 0*g + 4 = d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o + 2. Let h be t(-3). Solve -w + 16 = 4*l, 3*w - h = 6*w - 5*l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307868?\nAnswer: 2, 11, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 32 - 28. Calculate the highest common divisor of s and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -27, 5, -116, 2 in increasing order.\nAnswer: -116, -34, -27, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/135*(-6)\/(-4)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12902431*h**2 - 6975184*h + 1?\nAnswer: -25804862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/28*(-5160)\/(-1075)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zltz when four letters picked without replacement from {o: 4, t: 3, z: 4, l: 2, w: 1}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + (1 + sqrt(1300))*-5 - ((2 + sqrt(1300))**2 + -5 + sqrt(1300))) + sqrt(1300)*-1*1 + sqrt(1300) + 0 + 5.\nAnswer: -1299 - 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 4*y + 3*y)*(-4 + 0 + 2)*(39*y - 39*y - 85*y**2).\nAnswer: -170*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*x - 19, 5 = 2*r + r - 5*x. Suppose i + 81 = r*q, -7 = 2*q - 3*i - 42. Suppose q + 3 = b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 3:11 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/9)\/((-4)\/228). Let g = d + 21. Solve -3*f + 5*f + g = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 7*j + 6. Let v(b) = 17*b - 63. Let n = -67 - -72. Calculate the remainder when y(-6) is divided by v(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -341*u**3 - 322*u**2 + 725*u - 62. Let x(z) = -114*z**3 - 108*z**2 + 243*z - 21. Let m(k) = 3*p(k) - 8*x(k). Factor m(d).\nAnswer: -3*(d - 1)*(d + 2)*(37*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 4, b: 2}. What is prob of picking 1 b and 1 l?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -98 - 130. Calculate the remainder when ((43206\/24)\/(-19))\/(2\/(-8)) is divided by h.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -616*x**2 - 2. Let o be k(-5). Let i = o - -21933. Suppose i = -7*g + 10*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, x: 4, g: 2, o: 1, f: 2, w: 3}. What is prob of picking 1 n, 2 x, and 1 w?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 2*g + 3. Let m be n(5). Suppose -s + m - 5 = 0. Calculate the remainder when 24\/(10\/75*5) is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2*j - 135 = -108, -67*p + 5*j + 671 = 26*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.568 - 3.418. Suppose 8*y - 21 = 4*y + 3*i, -3*i = 4*y - 3. What is the second biggest value in y, 2\/7, p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*n**2 + 2304*n**3 + 322 - 322 - 276*n**2 + 136*n**2.\nAnswer: 2304*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/213849 or 0?\nAnswer: -4\/213849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*g = 12, 30*k = -263*g + 267*g + 172 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12190164 by -1015847.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-5 - (2 - 10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/((819\/(-13))\/21).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**5\/60 + 5*i**4\/24 + i**2. Let u be b(-6). Suppose -t - 25 = -u*t. Put t, -1, 0 in descending order.\nAnswer: t, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 7*r + 0*r**3 - 13\/2*r**2 - 28 - 3\/4*r**4. Let m(f) = -2*f**3 - 9*f + 5. Calculate -5*i(y) + 7*m(y).\nAnswer: y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-45)\/(-24))*(2450\/168)\/(-35)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in -262\/3, -30, -5, 1, -1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 5 + (38 - 23) - -25?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 - 67*f + 4. Let n(k) = k**3 - k**2 - 2*k - 1. Give -d(g) - 2*n(g).\nAnswer: -2*g**3 - 2*g**2 + 71*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/6 of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -35.764, 29, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-9) - (-8 + (-742)\/(-63)). Let y be ((-18)\/(-12) + 26\/(-24))*w. What is the biggest value in -1\/4, y, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqygyggq. Give prob of picking 2 g and 2 y.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.2 + 18. Let u = x + 0.1. Which is the closest to 0.1? (a) 1\/5 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = 2*y - 14*v - 11*v + 26*v - 85, -2*v = 5*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.13 + 0.23. What is the closest to 0 in -0.3, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 26 + 3*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 4*q - 16 = 0, 224 = 4*q + 220 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + b + 12*q + 72, 3*b + 4*q + 2 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/36)\/((-13)\/195)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41174, 82359, 123548, 164741, 205938?\nAnswer: 247139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7139*v - 39627 = 7167*v - 6167. Is v smaller than -1194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 13 + 6 + 45 - (2 - 22).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o**2 - 23*o + 5. Let h(y) = 4*y**2 - 12*y + 3. What is -5*h(s) + 3*v(s)?\nAnswer: s**2 - 9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-44)\/(-5))\/((-11)\/(-770)*28). Let t(j) be the second derivative of -2\/3*j**3 + 0 - s*j + 8*j**2. Find the first derivative of t(r) wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 522.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 15 + 2 = -3*o, -4*i = o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -81*a**4 + 76*a - 1667.\nAnswer: -324*a**3 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 28811*j + 374471. Calculate a(-13).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -7\/3 (b) -1\/22 (c) 1\/6 (d) -1\/11 (e) -2 (f) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -489*r + 537. Let l be d(1). Solve -b = -5*u + 20, -l*u + 46*u + 16 = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(3*(-7)\/(-315)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69\/7157 less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = p - 1465, -4*b = p + 4227 + 1608. Let l = b + 4453\/3. Find the common denominator of 59\/3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.4, -76, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 160 divided by -5\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 254, 498, 826, 1232?\nAnswer: 1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 8) + (-32)\/12*-3. Let w(t) = 7*t + 2. Determine w(x).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307*l - 309*l = -8. Let v(b) = b + 4807. Let d be v(0). Suppose 2581 = l*s - d. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773903 is divided by 411?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/4*((-78)\/9)\/((-6)\/3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4152791 - l**2 + 3*l**2 + 4152785 - 8305576.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-427)\/(-366) - 36\/(-1)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03473 * 0.08.\nAnswer: -0.0027784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, -2\/15, -169, -0.7, 5 in decreasing order.\nAnswer: 127, 5, -2\/15, -0.7, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 1070248. Let x(h) = 4*h. Calculate k(x(w)).\nAnswer: -4*w + 1070248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*j + 4. Let f(t) be the third derivative of t**4\/12 - 2*t**3\/3 + 496*t**2 + 2. What is f(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m + 2723 = 2777 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 1:41 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109306327.49999943 + 109306329. Let t = m + -1.5. What is t rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, x: 2, w: 9}. What is prob of picking 1 l and 2 x?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 60*n**2 + 7940*n - 5327. Calculate s(-133).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 12?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = y - 574, -2*p + 946 = 3*p - y. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.018.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 5*u + 5, -75*u - 3*v = -76*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + 13 + -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000161358 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7826 = 670*o + 448*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2468\/3 + 24491\/30. Find the common denominator of 166\/(-84) + 2\/6 and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60.56 - -1.56. Let a = 58.361 + y. Round a to two dps.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5442530, -10885063, -16327596, -21770129, -27212662, -32655195?\n\"Answer: -5442533*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68515 is divided by 56.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**7\/1008 - o**6\/18 - 14*o**5\/15 - o**2 + 2. Let u(x) be the third derivative of a(x). Differentiate u(f) wrt f.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*p + 2*q + 4, -4*p - 5*q = 7. Suppose 1086 + 668 = p*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5856*o - 2012*o + 118020 = 0 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 2*i + 5. Let w(l) = -l**3 - 5*l**2 - 5*l - 4. Let x be w(-4). Suppose 2*n = 2, x*m - 3*n - 1 = m. Is f(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 17*n + 1. What is l(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qn when two letters picked without replacement from brqanrj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5700 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 9548 = -2*n. Suppose 4343 + n = 3*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516378 divided by -751?\nAnswer: -516378\/751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 - l + 1. Let t(s) = -2*s**3 + 4*s + 5. Give 2*b(o) + t(o).\nAnswer: -6*o**3 + 2*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/4655817 and -17\/54.\nAnswer: 27934902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v - 434. Determine l(-63).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 324 = -73*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133.59984753 - 133.6. What is k rounded to six decimal places?\nAnswer: -0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**3 - 3*n**2 + 4*n - 3. Let p(r) = -r**3 - r**2 - 15. Let g be p(-3). Suppose -2*u + 2*w = g*w, 4*w = -2*u - 12. Calculate v(u).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ksssksusr. Give prob of picking 1 r, 1 k, and 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 2434.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 18*w - 119. What is the remainder when p(11) is divided by (-922)\/(-68)*2 + (-22)\/187?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 54, 114, 176, 240, 306?\n\"Answer: v**2 + 57*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 * 0.3.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**7\/5880 - 5*q**4\/12 + q. Let p(y) be the third derivative of a(y). Factor p(i).\nAnswer: -3*i**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/(1 + 9\/(-6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v**2 + 15*v - 72. Calculate j(4).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -5 - (20 - (-10 - -48))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2063, 2038, 2023, 2024, 2047?\n\"Answer: a**3 - a**2 - 29*a + 2092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 - w**2 + 15*w + 19. What is the tens digit of v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 2 + -2 - -7. Suppose -4*b = 20, -2*v = -u*v + b + 185. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 210 + -212. Let s be 45\/27 - r*6\/9. Solve -10 = -s*i - 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/55 or 4042?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58625?\nAnswer: 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 15 = 0, 4*x - 8 = -5*j + 19. Find the second derivative of -3*q**4 + 6*q + q**4 + 5*q**4 - x*q wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**6\/180 - 23*x**5\/180 - 11*x**4\/72 - 12*x**2 + 18. Let o(h) be the second derivative of u(h). Factor o(m).\nAnswer: -m*(m + 11)*(2*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1157290.\nAnswer: 2, 5, 19, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3 = 7. Suppose -2*y = d*r + 49, 0*r - 4*r - 34 = -y. Let o(z) = -z - 4. What is the units digit of o(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41, 89, 139, 191?\n\"Answer: l**2 + 45*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 - 49. Suppose 0 = o*h + 708 + 1276. Let z = 2507 - h. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -241840 by -20.\nAnswer: 12092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8084309?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 1. Let f(z) = 4*z**2 + 7*z + 1. Let s(u) = f(u) - 2*g(u). Suppose -y - 3 = -w, -3*y = -8*y + 3*w - 15. Determine s(y).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/10 + (-27)\/6 - -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 - 16*d**2 + 19*d + 11. Let b be n(-9). Suppose b*z + 9*z = 187. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36239?\nAnswer: 7, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23178 divided by -6?\nAnswer: 3863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**5 - 246954*s**4 - 740892*s**3 + 246954*s**2 + 740889*s = 0. What is s?\nAnswer: -3, -1, 0, 1, 82321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 2. Let o(v) = 2 - 4 + 3 - v. Let l(q) = 3*i(q) - 6*o(q). Let r(z) = 7*z - 9. Let k(m) = -3*m + 4. Let s(a) = 9*k(a) + 4*r(a). What is l(s(h))?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 14 (b) 0.035 (c) 0.1 (d) 18 (e) 3 (f) 5 (g) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 341 and 1364.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 18*o + 4 = 0, 13 = m - 4*o. Solve m*g + g + 30 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**8\/60480 - u**7\/7560 - u**6\/2160 - 7*u**5\/60 - 4*u**2. Let w(j) be the third derivative of t(j). Factor w(d).\nAnswer: -(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 16745309?\nAnswer: 16745306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 - 17*v**3 - 2*v**3 - 2*v**2.\nAnswer: -19*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26867677 is divided by 862?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/24334720 and -59\/512.\nAnswer: 97338880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/(-8) - (2 - -2). Let f be 10 + (-2 + i - -2). Solve p + 5*r = -18 - 9, 2*r = -f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/141, 1\/2, 4?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -21*x**2 + 3*x + 128. Calculate the smallest common multiple of (-8)\/(1\/(5\/(-2))) and p(0).\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*c*v**2 + 180*c + 1269*v**2 - 2 wrt c.\nAnswer: 14*v**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7292? (a) 0.1 (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3093, 3099, 3107, 3117?\nAnswer: 3129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 285*d + 292. Give x(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20613 + 20625. Solve l + 110 - 96 = -4*g, -3*l = 2*g + u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 5*y - 36552, y - 2 + 6 = 0. Suppose -14 = 694*i - 701*i. Suppose 0 = -i*z - 0*d - 4*d + 4594, 4*z - d = q. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*i + 53*i + 64. Solve -20 = -5*z + i*a, -25 = 3*z + 3*a - 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 4:29 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*((-12)\/9 - -1). Let o be 1\/r - (-1)\/(-14). Let a be 2\/8 + 11\/(-76). What is the third smallest value in 2, a, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 3 = -2*r - 4*l, -r - 5*l = -18. Let s(t) = 4 - t - t + t. Let q be s(0). Solve -5 = r*j - q*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/70, 1.5, 1 in descending order.\nAnswer: 1.5, 1, -1\/70, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*v + 3*v**3 + 5)*(9 - 77 - 6).\nAnswer: -222*v**3 - 148*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 480 and 27648.\nAnswer: 138240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -427\/272 - -111\/68. Let b(k) be the second derivative of v*k**2 + 0 - 1\/96*k**4 + 0*k**3 - 26*k. Factor b(u).\nAnswer: -(u - 1)*(u + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0 (b) -4\/11 (c) -2\/21 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, d: 1, u: 4, q: 2, e: 4, r: 2}. What is prob of sequence wdwu?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifiiiifiiii. What is prob of picking 3 i?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 5. Let c = -151 + 107. Let x = 48 + c. Let w be t(x). Solve -2*j + 1 = -w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 5565*i**2 + 3886*i**2 - 10.\nAnswer: 9451*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (16\/4)\/12*(-18)\/21\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 9*j**2 - j - 1. Let q be y(-9). Let g(h) = 16*h - 44. Let c be g(q). Let l = c - 72. Calculate the remainder when l is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3568 + 3315. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + 0 + 0)*(2*s + 0*s - 4*s) - 20*s**5 - s**5 - 8*s**5.\nAnswer: -25*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + h**2 + 0*h**2)*(0*h**2 + h**2 + h**3 + h**3) + (-8*h**2 + 7 - 7)*(h**3 + 2*h - 2*h).\nAnswer: -6*h**5 + h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -o + 12, -4*o + 28 = -5*n + n. Let l = 4417.4 - 4417. What is the closest to -0.2 in -0.1, l, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q + 20\/3*q**3 + 3 + q**2. Does 4 divide a(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445 divided by 220?\nAnswer: 289\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 763255244?\nAnswer: 763255244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 533619 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, 4, 47 in decreasing order.\nAnswer: 47, 10, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10222 - 414?\nAnswer: 4303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-477*v + 2*v**2 + 19 + 477*v)*(-3*v**2 - 3 - v**2 + 3*v**2).\nAnswer: -2*v**4 - 25*v**2 - 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*g = -388. What are the prime factors of g?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 5) to base 13\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -409*o**5\/5 - o**2\/2 + 656*o - 420. What is the second derivative of d(r) wrt r?\nAnswer: -4908*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 - 4*o**4 + 3*o**4 + (25 - 25 + 28*o)*(192 + 29*o**3 - 192).\nAnswer: 811*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, b: 10, u: 4, m: 1}. What is prob of sequence bub?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -20*3\/(-15)*4. Let w = g + -6. Suppose 3*o - w*o = -553. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 261400 rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.2325682 rounded to 1 dp?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1008) - -4*(sqrt(1008) + 0)).\nAnswer: 300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195659549 and 551.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9826 - 432317\/44. What is the common denominator of a and 101\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 8:17 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88*0.151.\nAnswer: -13.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**3 - 2*l**3 + 5*l**3)*(3*l + 3*l - 2*l)*(-4 + 3 + 0)*(5 + 2 - 2) in the form w*l**3 + a*l + p*l**4 + s + n*l**2 and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxybbxxxb?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.362735 to one dp.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13229.33 centimeters in millimeters?\nAnswer: 132293.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15110917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(2\/15))\/j)\/j)\/(j**12*j)*((j\/j**(-2\/29))\/j)\/j**(-4\/11) assuming j is positive.\nAnswer: j**(-65558\/4785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*w - 259*w + 180 = 0. Let d(n) be the second derivative of n**4\/12 + 2*n**3 - 21*n**2 + 7*n. Is d(w) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101452.2 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -167*l**4\/4 - 191*l**3\/6 - 507*l. Find the second derivative of n(f) wrt f.\nAnswer: -1002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/8692 and -97\/52152.\nAnswer: 52152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 3. Suppose -2*j + 3*k + 5 + 3 = 0, -2*k - 12 = 0. Let b(n) = -1. Calculate j*b(p) + m(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126 + 145*o - 419*o + 131*o + 141*o + 2*o**2 to the form n*o + j*o**2 + u and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1024377 to 4 dps.\nAnswer: -0.1024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 c, and 1 t when three letters picked without replacement from {c: 2, y: 1, z: 1, x: 2, t: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 255774.2mm in centimeters?\nAnswer: 25577.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4*z**3 - 5)*(-1 + 15*z - 10*z - 6*z).\nAnswer: 4*z**4 + 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2308822086 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/11 (b) -2099 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + w**2 + 57. Is 19 a factor of o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 3)*(20657707 - 1299*h - 20657707)*(-h**2 + h - h) in the form u*h**2 + y*h + b*h**3 + n and give b.\nAnswer: -2598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t**4 + t**3 - 2 + 3*t**3 - 11*t**4 - 3*t**3 to c*t + g + o*t**3 + r*t**4 + p*t**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 6:46 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 55.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12349661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407678501.\nAnswer: 73, 307, 18191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -91, -93, -95, -97, -99, -101?\n\"Answer: -2*b - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2118898 and 1314?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - 26 = 25*b. Factor 43*v**2 + 3*v**3 + 162*v + b*v**2 + 251*v - 53*v - 432.\nAnswer: 3*(v - 1)*(v + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -148, 4, 1 in increasing order.\nAnswer: -148, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.11. Let b = 0.91 - d. Are b and 1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 3\/2, 9, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 54, 54, 28, -30, -126, -266?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27923797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from {j: 1, g: 2, y: 2, p: 2, m: 1, d: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 12*b - 48, 1 + 7 = -20*b + 16*b for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011101111010001101 (base 2) in base 15?\nAnswer: -cb99c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(7) + sqrt(7) + 0 + -3)**2.\nAnswer: -12*sqrt(7) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -5\/3*o**3 - 107 + 0*o + 0*o**2. Let k(u) = -7*u**2. Calculate w(k(n)).\nAnswer: -245*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**4 + 368*v**3 - 17011*v**2 + 85942*v + 103320 = 0.\nAnswer: -410, -1, 7, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -945*h - 910. Is 7 a factor of a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 12*t**2 + 3*t - 71. Is m(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6090 divided by 23\nAnswer: -6090\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mzmmzz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -94 or 2146465?\nAnswer: 2146465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2 - 5*m + 3. Suppose 4 - 18 = -2*a - 4*n, 5*a + 2*n = 27. Suppose a*j - 12 = j. Calculate the remainder when 71 is divided by x(j).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.11519 rounded to one decimal place?\nAnswer: -41.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 34 (b) 3.53 (c) -4 (d) 1 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -939 + 941. Suppose -2*d + 6 = -0*d. Sort 2\/9, d, g, 70.\nAnswer: 2\/9, g, d, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -510?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.4875 to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -257 - -257. Suppose u = 7*o - 98 - 56. Calculate the least common multiple of o and (-14)\/(-5)*(-5)\/(-1).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24024, -24028, -24032, -24036, -24040, -24044?\nAnswer: -24048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67788 times 0.22?\nAnswer: 14913.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347 less than or equal to 382150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -236 - 458. Let g = -275 - p. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(1\/3)))\/k)**(-45)\/(k\/((k**2\/k)\/k))**(-17\/5)*(k\/k**(-11\/2)*k*k**(-4\/5))**25 assuming k is positive.\nAnswer: k**(2009\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -n - 196, 4*n = -83*k + 80*k - 44 - 94 - 70 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 - -60. Let x = -2.17 + 2.67. Put q, 0.1, x, 2\/5 in decreasing order.\nAnswer: x, 2\/5, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 20 = 5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -11, 0 in increasing order.\nAnswer: -11, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(-3 - 1 + 3)*(-5*i - 3*i + i) to the form d + x*i and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 8 = 2*n. Let w = -4 + 23. Let p = w - 9. Calculate the remainder when p is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6229000 to the nearest one hundred thousand.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88040.51 + -87667. Let n = -373.5050042 + b. Let k = -0.005 + n. Round k to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 30.9. Which is the third biggest value? (a) h (b) 2\/7 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -3282\/113405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-2)\/3*305\/(-6405).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -23. Suppose 0 = 5*g - v*g. Suppose 0*s - 2*t = -2*s + 10, g = -s + 4*t + 11. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1900896 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1*z)**(2\/55))**(-2\/51)\/((z\/(z**(-1\/4)*z*z))**(-33)*(z\/z**(-1\/3))\/z**(-1)) assuming z is positive.\nAnswer: z**(-303907\/11220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2))\/(5\/(-360)*1). Let x = p - -42. Solve d = -2*d + x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5489*a + 102544 = -1953*a for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.4 and 55581557885.\nAnswer: 55581557886.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5 = -1. Let m = -5431.6347 + 5432. Let a = m + 0.0347. What is the third smallest value in a, -7, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 1. Let d be (-2)\/(10\/(-15)) - 269\/(-1). Let s(n) = -9*n**2 + 547*n - d*n - 273*n - 4. Calculate 4*g(y) + s(y).\nAnswer: -5*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -333\/13 - -973\/39. What is the second biggest value in 0.3, y, 0.04, -2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69762677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 25*q**3 - 7*q**2 + 12*q - 167. Let m(j) = -2*j**3 - j + 14. Let g(l) = -12*m(l) - u(l). What is g(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-2)*8\/(-16) - 12466\/2439.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/1*6\/14*88\/660.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 556 divide 2662128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -193 (b) 4 (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 4 - 4)*(-2*t + 0 + 0) - 4*t**2 - 4*t**2 + 4*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18814 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21.2 * -1\nAnswer: -21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 116 + 10 = 5*c, c + 5 = -5*t. Let p = c + 30. Suppose p + 10 = -5*f. Let q(u) = u**3 + 5*u**2 + 5*u - 2. What is q(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18255000 rounded to the nearest 100000?\nAnswer: -18300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 95941434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2383*-89.94.\nAnswer: -214327.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/32*(-46)\/3. Is -21 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1\/4 (b) 1\/2 (c) -6 (d) -0.66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, s: 2, g: 2, a: 1}. What is prob of sequence pga?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 + 221\/4. Let h = 268 - 4022\/15. Which is the nearest to y? (a) h (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 1. Let s(w) = -w**2 - 6*w**2 + 2*w**2 + 3. What is -6*j(u) - s(u)?\nAnswer: -u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -202196\/215 smaller than -939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25, -216\/19, 1\/3?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/2 of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3891480?\nAnswer: 2, 3, 5, 32429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(10\/7)\/(h\/(h\/(h*h**(2\/3))*h))*h**5\/(h\/(h\/(h\/(h*(h**(2\/13)\/h)\/h)))))**22)**(-32) assuming h is positive.\nAnswer: h**(-752576\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -0.1, -8, 457, -13\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbhbhb. Give prob of sequence hb.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2280\/(-32300))\/(6\/10)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from sssxssksks.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.3445 - -1.3445. What is the second smallest value in 0.09, p, 1.5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149*-25\nAnswer: -3725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 8*d**2 - d - 1. Let l be t(-8). Suppose -3*m - c = -l, 0*m - 4*c = 3*m - 10. Suppose -6*f + 12 = -3*f. Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/30 and 63\/27*66\/20.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 30 = -5. Suppose -4*k - 80 = -w*j, -5*k + k = 3*j - 80. Solve 0 = d + 3*d + j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.26 (b) -100 (c) -2 (d) 1 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**7\/189 - u**6\/15 - 13*u**5\/90 + u**4\/6 + 14*u**3\/27 - 60*u + 2. Solve d(o) = 0.\nAnswer: -7, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507110 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 405 = 3*w. Let o = 84 - w. Factor -20*b**2 + 38*b**2 - b**3 - 14*b**2 - o*b.\nAnswer: -b*(b - 3)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-34)\/85 + (-6)\/(-10)). Which is the closest to -3\/2? (a) f (b) -2\/11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**9)**(-3) assuming o is positive.\nAnswer: o**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 21\/(-12))\/(3151\/(-92) - -34)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1381863305 rounded to three dps?\nAnswer: -0.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*n = -7, -2*a + n - 22 = 2*a. Let s be 0*(-2)\/(a - -1). Suppose s = -4*k + 5475378 + 15324622. Round k to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y. Let q(k) = 6 - 12 + 2*k + 7. Let f(h) = -4*q(h) - 11*s(h). Determine f(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7511947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + 3*h - 3. Let w(c) = 2*c**2 + 2*c - 2. Determine 2*g(o) - 3*w(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/(r*r*r**(-10)*r*r))\/r*r*(r**(-1)\/r)\/r)**(-18\/13))**(-48) assuming r is positive.\nAnswer: r**(4320\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6215*j**2 + 2179694383 - 2179694383 + 6212*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 83. Is w(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -39*f + 274. What is p(11)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 630, 5, 6, 3, -4.\nAnswer: -4, 3, 5, 6, 630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - -0.48. Let f be 8 + 191\/(-34) - (-20)\/(-8). Sort v, -0.3, -4, f.\nAnswer: -4, -0.3, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 7*r + 3. Let v be 4\/(-3)*45\/10. Let z be t(v). What is the greatest common divisor of z and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/2775648 and 145\/354.\nAnswer: 163763232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -30. Let t(k) = -4 - 2 + 5 - 1 - 2*k. What is the units digit of t(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 173 + 15 - 7\/(14\/12). Suppose -183*g + 14 = -c*g. Calculate the least common multiple of g and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11831.\nAnswer: 11831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 24*s**2 - 4*s + 12. Let i be g(3). Calculate the highest common divisor of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c = -26 + 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7.3 * 0.34\nAnswer: 2.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 342830.83 - -34549.\nAnswer: 377379.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2. Let c(w) be the second derivative of w**4\/12 - 69*w**2\/2 - 989*w. Calculate c(h(n)).\nAnswer: n**4 - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 3*g**2 + g + 3098. Is l(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x = -5*x + 36 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*x - 241848, -5*l + 180693 = x - 61128. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 462 and 9?\nAnswer: 4158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 9*t - 14. Calculate the remainder when 111 is divided by l(13).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, 2\/9, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 542505.1kg to nanograms.\nAnswer: 542505100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3)*b)\/(b\/b**(-5)))**(1\/2) assuming b is positive.\nAnswer: b**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3222 + -1023?\nAnswer: -10311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*s + 10117 - 39102. Suppose -s = -6*c - 5*c. Calculate the remainder when c is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-35))\/(3\/(252\/1560) - 16).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1997648782 to the nearest integer?\nAnswer: 44695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -914.\nAnswer: 2\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -59*u - 2. Suppose -5*k + 74 = -26. Let z be k\/6*(-39)\/26. Is r(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5150340752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**5\/20 - 16*y**4\/3 - 2*y**3\/3 + 10*y**2 - 187*y. What is the second derivative of q(r) wrt r?\nAnswer: -6*r - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76726.94 rounded to the nearest one thousand?\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2632*m + 18510. Let t be u(-7). Let o = -11 - -226. What is the greatest common divisor of o and t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14*(-2)\/(-4) + -4. Let p(r) = r**3 - 3*r**2 - 4*r + 1. Determine p(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 17. Solve -d*i = -2*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/3 - 50*j**3\/3 - 182*j**2\/3 + 150*j + 600 = 0. Calculate j.\nAnswer: -20, -5, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78260442.\nAnswer: 2, 3, 13, 107, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 8. Let i be z(-7). Let c be 2\/(-6) + 1524\/36. Let a be (c\/7)\/(1 - 0). Calculate the highest common divisor of i and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1173 + 1176. Calculate the lowest common multiple of d and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366318 is divided by 6005.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*b**3*o**4 + b**3*o + 3*b**3 - 7*b**2*o - 207*b with respect to o.\nAnswer: -24*b**3*o**3 + b**3 - 7*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3101200102 (base 4) to base 8\nAnswer: -3214022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22847813 (base 9) to base 13.\nAnswer: -23ca606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 7:18 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 12:55 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 49\/((-1)\/(37 - (-4)\/1)). Let s = j + 2932. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*w - 10, -3*y + 5*w = -y + 25. Suppose -3*g + 9 + 3 = y. Sort 3, g, -5 in ascending order.\nAnswer: -5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 121, 183?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 + -0.16. Let b = 11 + -6. Let k = -1203\/70 - -121\/7. What is the nearest to 0.1 in z, b, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 1 + 2 - 59*o + 16*o to the form j + m*o and give m.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 10. Let f be h(11). What is the second derivative of -25*g + 70*g**2 + 42*g - 39*g + 7*g**2 + f wrt g?\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 580710123*i**2 - 6009874*i - 30?\nAnswer: 1161420246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -1310827, -2, -0.4, 5, 0.09?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4454164 divided by -1113541\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-10500)\/2800*(-8)\/4680\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/27, -3, 2, -1, 0.22, 13\/3 in descending order.\nAnswer: 13\/3, 2, 16\/27, 0.22, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 11*g + g**2 + 13*g - 24*g + 7. Let l(j) = -23*j. Give l(h(d)).\nAnswer: -46*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -42160, -86683, -131202, -175717, -220228?\n\"Answer: 2*g**2 - 44529*g + 2367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*l. Let b = 2 + l. Put b, -2, -3 in descending order.\nAnswer: b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = 0, -2*z + 4*y + 7 - 17 = 0. Let m = 0.32 - 0.02. What is the second biggest value in -0.09, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -2.55?\nAnswer: 1.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*o + 6*o + 35*o)*(0 + 2 - 3).\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*t + 10. Suppose -s - 3*m = 3*s - 132, t*m = 2*s - 66. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1 + 7*w**2 + 112*w - 58*w + 0 - w**3 - 48*w. Let l(t) = -t**2 - t. Suppose -5*p = -2*g - 22, -4 = 8*g - 9*g. Calculate p*l(x) + z(x).\nAnswer: -x**3 + x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 + 33*l**3 - 78*l**2.\nAnswer: 3*l**2*(l - 2)*(l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -68, -110, -150, -188, -224, -258?\n\"Answer: b**2 - 45*b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3 + o**2 + 3 - 2*o**2 - 5*o. Let p be h(-4). Suppose p*c + 2 = 2*c. Let i(k) = -9*k + 1. Give i(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/3 + 104*s**4\/3 - 228*s**3 - 896*s**2\/3 + 686*s\/3 + 264 = 0?\nAnswer: -1, 1, 9, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -21328*j - 21339. Give k(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 200*f + 6. Let k(t) = -4280*t. Calculate x(k(a)).\nAnswer: -856000*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, f: 7}. Give prob of picking 1 f and 3 c.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 355852, 711704, 1067556, 1423408, 1779260?\n\"Answer: 355852*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 697328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 0*m - 2*m)*(4*m**2 + 4*m**2 - 6*m**2)*(4 - 16 + 59).\nAnswer: 94*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 10:31 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-30)*-9)\/(1\/5). Suppose -5502 = -5*g + 4*z, n*z + 543 + 553 = g. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7496*j**3 + 10575 wrt j.\nAnswer: -22488*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 - 5*i**2 + 7*i - 86. Let j(l) = 5*l**3 + 14*l**2 - 21*l + 231. Determine -3*j(a) - 8*y(a).\nAnswer: a**3 - 2*a**2 + 7*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 4:30 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12197 = -5*j - 2*l, -7*j + 10*j - 7315 = -2*l. Solve -7*x = -j + 2462 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 812708 = 246*s - 234022. Is 75 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/6 - ((-14)\/4)\/7. Which is the fourth biggest value? (a) w (b) 1\/5 (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23555592 and 4824.\nAnswer: 23555592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - (-44 + 5 + 18).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6063*j**4 + j**3 - 261*j - 58.\nAnswer: -72756*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2440 - 0.41\nAnswer: 2439.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, z: 3, s: 4}. What is prob of sequence ppz?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -17\/4 (b) 1\/5 (c) -3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16842097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, 1, -48, 0.23, -5?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2130398410?\nAnswer: 2, 5, 7, 30434263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/12*(-3)\/2. Let f be (36\/15)\/(1\/b). Suppose f = 3*d - d. What is the remainder when 22 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -0.2 (b) -0.5 (c) -4 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/250*(-2)\/(-1) - 552\/(-20).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p**3 - 20*p**2 + 20*p**2)*(2*p + 3*p + p) - 2*p**4 - 2*p**4 - 9*p**4.\nAnswer: -55*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1 + 2*i - 4*i + i. Let z(t) = -t**2 + 4. Let m(h) = -h**3 - 14*h**2 + 70*h - 18. Let d be m(-18). Let y = d + -17. Give y*z(w) - 2*s(w).\nAnswer: -w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuffuuyfuyfuuui. Give prob of picking 1 i and 1 y.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 419*c - 453 - 237*c - 210*c + 453.\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (259\/(-21) + 12)\/(1\/(-9)). Sort 10, -96, s in decreasing order.\nAnswer: 10, s, -96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*s + 2*p, 5*p + 14 = -11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*b + 1652, 0 = -3*b - v - 295 + 2775. Let n = -327 + b. Let c = n + -290. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3538 and 0?\nAnswer: 3538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 397791 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -552 + 3866\/7. What is the nearest to -0.07 in l, 0.03, -1\/2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**2\/2 + 6*u + 1. Let s be c(-6). Suppose 0 = -5*k - s*k + 30. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/126 and 94\/26145.\nAnswer: 52290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -112 + 112 - 2*g - g. Let l(q) = q. Let y be l(-1). Let z be t(y). Which is greater: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 429.3 + -38.9. Let j = -391 + m. What is the third smallest value in j, -1\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h + 139. Let i be f(32). Let r = 362 - i. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*f - 65. Let h(z) = -f*z**2 - 1 - 2 + 3. Let p(c) = 3*c + 4. What is p(h(k))?\nAnswer: -6*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**4 + l**3 - 2*l**2 + 1. Let b(o) = 25*o**4 - 413*o**3 + 236*o**2 + 164*o + 3. Let j(w) = b(w) - 3*s(w). What is a in j(a) = 0?\nAnswer: -2\/5, 0, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 893067 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26696 - 27913.3. Let u = t + 1114. Let g = 103 + u. Which is the nearest to 1? (a) g (b) 2\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, d: 2}. What is prob of picking 1 d and 2 s?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f154 - 5?\nAnswer: f14f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 46. Find z, given that 6*z**3 + 11*z**r - 8*z**2 + 14*z**5 + 23*z**3 - 46*z**4 = 0.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/31, -1\/4, -19\/4, -11\/3, -2\/13, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 y, and 1 h when three letters picked without replacement from {g: 1, e: 1, h: 2, y: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -803 + 808. Let m(r) = -2404*r + b - 3 - 2 + 2436*r. Let z(h) = -h. Determine z(m(t)).\nAnswer: -32*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 105971.6\nAnswer: -42388.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -839*u - 19857 - 17059 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 u, and 2 o when four letters picked without replacement from {x: 5, e: 4, o: 3, u: 7}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 84, 85 in increasing order.\nAnswer: 2, 84, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) 4 (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -297974 less than or equal to -297976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*q - 3*q = -134, 0 = -3*v + 4*q + 98. Calculate the greatest common factor of v and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 150675\/540 + 2\/9. Is x at least 279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 1\/525*d**7 + 0*d + 0*d**6 - d**2 + 0*d**5 + 0*d**4 + 0*d**3 + 0. Factor z(i).\nAnswer: 2*i**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -27. Let u be 1\/(1 + (3 - 3)) - -3. Suppose 5*g = 3*g + 5*k + u, -2*k = 0. Solve -25 = -3*q + g*s, q - 4*q + w = -3*s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000420168714 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*f**3 - 8832*f**2 + 41388*f - 23664.\nAnswer: -3*(f - 4)*(f + 986)*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/5)\/a)\/a)**12*(a\/(a\/a**(-2\/5)))**(-6))\/((a*a*a*(a\/(a*a*a**0*a*a))\/a)**(4\/3)*a\/a**9*a**(-9)) assuming a is positive.\nAnswer: a**(-121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4800527257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*c - 13*c + 567 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*5\/15 + (-76 - 1). Round y to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5, 58, 183, 358, 571?\n\"Answer: -2*i**3 + 43*i**2 - 52*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**3 + 2*g**2 - 3*g + 1. Suppose 0 = -5*v + 5*h + 160, 118 = -328*v + 333*v + 2*h. Calculate the remainder when v is divided by u(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 2*r**6\/15 - 2*r**3\/3 - 8*r - 6. Let v(p) be the first derivative of u(p). What is the second derivative of v(n) wrt n?\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 + 1. Let w be b(-1). Let s(o) = 6*o**3 - 8*o**3 - 31 + 4*o + 110 - 38*o**2. Let a be s(-19). Sort 1, a, -1, w in descending order.\nAnswer: w, a, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6 = -2*q, -11*q = -15*q. Find c, given that 1\/3*c**a - 2\/3*c + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 - w**3 - 2*w + 3*w + 0*w to p*w**2 + r*w + d + c*w**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39740 (base 14) in base 13?\nAnswer: 4c46a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 76692615792 - 5\nAnswer: 76692615787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 748.3 - 748. Let c = -0.023 - 4.977. What is the biggest value in t, 0, c, 0.22?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -20*b + 6. Let n(g) = 4*g - 1. What is 11*n(c) + 2*z(c)?\nAnswer: 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-10)*-687 + 34\/(-340). Suppose -m - 18 = -2*p. Which is greater: p or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**4\/4 + 5*b**3\/3 + 3*b**2\/2 + b - 3. Let x be j(-4). Put 0, x, 2 in increasing order.\nAnswer: 0, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -228, -222, -212, -198, -180, -158?\n\"Answer: 2*s**2 - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 2*u**3 + 1 + 31*u**3)*(-5 + 1 + 2).\nAnswer: -66*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*t = 2*a - 11, -6 = -a - 3*t. Put 2, 1, a, -2 in descending order.\nAnswer: a, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 5:03 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522225622?\nAnswer: 2, 37, 7057103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 168?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 427504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8398)\/741*((-398)\/4 - -2) a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wjwwwwjjjjwjj.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 4*p - 2*k - 20, 2*p + 2*k = 100. Let t(n) = 4*n + 38. Let l be t(10). Calculate the greatest common divisor of p and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5941062*w**2 - 5654253?\nAnswer: 11882124*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/2, 155\/33, -104, 1\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 2*d + 0*d)*(2*d**2 - d**2 - 3*d**2) + (-d**2 + 0*d**2 - d**2)*(-7*d + 5*d - 4*d) + (-1 + d + 1)*(-4 + 4 + d**2) - 2 + 2 + 3*d**3.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 19.585?\nAnswer: -1.9585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -565.4?\nAnswer: 1696.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2493664969 and 1.1.\nAnswer: 2493664970.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/27 - (264\/(-108))\/(-2).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6*(-48)\/8. Suppose -h*f = -2*l - 15 + 3, 2*f + 6 = -5*l. Solve -f*y + 0 = -2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 836\/38 + (-2952)\/135.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 34743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f - 339 - 56*f**2 + 69*f + 327.\nAnswer: -4*(f - 1)*(14*f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**8\/10080 - p**7\/945 - p**6\/216 - p**5\/90 - p**4\/6 + 3*p. Let j(v) be the third derivative of o(v). Factor j(c).\nAnswer: -2*(c + 1)**2*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.047 - 0.096. Let f = -1145 + 1140.749. Let w = f + r. What is w rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 72, 88, 114, 150, 196, 252?\n\"Answer: 5*j**2 + j + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26888096, -26888083, -26888070, -26888057?\nAnswer: -26888044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335*m + 854154 = 353*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 580 - 581. Let n = -3 - -6. Which is the third biggest value? (a) -3 (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -39, -120, -281, -552, -963, -1544?\nAnswer: -2325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 4*x**2 - 6*x + 2. Let y be o(5). Let p be 1 + (-9)\/y + -2. Suppose c + p = 2*c. Solve -2*s = -3*s - c, 2*a - s = 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 652590 and 594?\nAnswer: 7178490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.624278611 rounded to two dps?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 31731.\nAnswer: 1\/31731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2632 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -799 - -868. What is the remainder when u is divided by 43?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/9 - (-5)\/9. Suppose -46*r - 1 = -47*r. Which is the smallest value? (a) -4 (b) d (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 greater than or equal to 726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.06604\nAnswer: 0.026416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.28721 and 390701601?\nAnswer: 390701601.28721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25788980*q**3 - 168*q**2 - 1440 wrt q?\nAnswer: 154733880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 124 (c) 3 (d) -1.72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 4.92. Let n be 8\/(-2) - (2 - 7305\/1152). Let d = n + -1\/128. Put 0.4, d, c, -1\/6 in descending order.\nAnswer: 0.4, d, c, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3*t**2 + 69*h**3 - 463808*h**2*t**2 - 4*h**2*t - 2*h*t**2 - 647*t wrt t?\nAnswer: -2*h**3 - 927616*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x + 15 = -41 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3449263.54 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11919)\/(-1644) - (-7)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 9*u + 0*u - u**2 + u - 9. Suppose 4*p + 10 + 14 = 0. What is s(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003017139 to six dps.\nAnswer: -0.000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-3))\/(6\/(-36)). Let n(q) = -10*q**2 + 19*q - 31. Let d(h) = 5*h**2 - 9*h + 16. Let y(p) = j*n(p) - 11*d(p). Factor y(o).\nAnswer: 5*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29786 and 318.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**2*f*j*n - 460*a**2*n**3 + 2*a**2 - 3*a*f*n - 2*f*j*n**3 + 363*j wrt a.\nAnswer: -10*f*j*n - 920*n**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 405051174?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.41661 litres in millilitres?\nAnswer: 29416.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -437\/2940 - -3\/196. What is the nearest to 0 in x, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 14*u - 13*u - 3 + 0. Let r be k(5). Is 0 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*m + 100*m**2 + 458*m - 707*m.\nAnswer: 100*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 m, and 1 h when four letters picked without replacement from {m: 3, h: 1, j: 1}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4876*s = -4886*s + 30 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**3 - 2*a**3 + 3*a**3 + 5*a + a**3 - 5*a - 2*a**3 - 4*a + 4*a + (5*a + 0*a - 3*a)*(1 - 1 - a**2).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2427*x**2 - 2923 with respect to x.\nAnswer: -4854*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65796176 minus 8.4?\nAnswer: 65796167.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1667*i**3 + 12*i**2 + 2*i - 2. Let y(z) = -6667*z**3 + 54*z**2 + 8*z - 9. Calculate 9*c(j) - 2*y(j).\nAnswer: -1669*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 + 152. Let j = k - 4. Is 27 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22488887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(20263*k + 20033*k - 40917*k).\nAnswer: 621*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -9. Let v = -7 + u. Factor -2\/5*a**2 + 2\/5*a + v.\nAnswer: -2*a*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 3*k - 3. Suppose -18*u - 3*d + 12 = -19*u, -u - 4*d = -2. Calculate y(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.39 + -9.79. Let d = 0.1 - 0.6. Put 0.9, f, d in decreasing order.\nAnswer: 0.9, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11331 (base 4) to base 5.\nAnswer: -3011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 2, y: 1}. What is prob of sequence xx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*b - 10, 3*h = 5*h - b + 10. Let y be (-4)\/(-6) - (22925\/21 + h). Calculate the common denominator of 11 and ((-4)\/(-18))\/(y\/1065 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - 8\/((-88)\/55). Let l(u) be the first derivative of 1\/4*u**m - 6 + 0*u + 1\/6*u**3. What is s in l(s) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from yfjf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {z: 4, a: 6, y: 4}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4\/((x*x**(-1\/6))\/x))**15 assuming x is positive.\nAnswer: x**(125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -6) + (2 - 3). Solve -z - 9 = -3*i, -5*z - a = -z + 4*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*b - 2*b - 4, -5*u + 3*b + 26 = 0. Suppose 0 = -u*f + 3*j + 2264, 6*f = 3*f + 2*j + 1697. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5\/4 (b) 0.19 (c) 2\/33 (d) 2 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 5*b + 39, w + 457*b - 460*b = -29 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313, -311, -309, -307, -305?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -52678, -105353, -158040, -210751, -263498, -316293, -369148, -422075?\n\"Answer: -2*g**3 + 6*g**2 - 52679*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1895835?\nAnswer: 3, 5, 211, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -962*j = 18610 - 16473 - 37731 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r + 22. Let h be g(-8). Is 7\/(-147)*h - (-217503)\/21 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1))**(-8))**(-1\/37))**50 assuming j is positive.\nAnswer: j**(-400\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**4\/4 + l**3 - 5*l**2\/2 + l - 2. Let g be h(-4). Suppose -g*i = -5 - 5. Let f(a) = 4*a - 2. Calculate f(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 32*n**2 + 60*n - 5. What is the units digit of v(-29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 10*u**2 + 9*u + 5. Let z be d(9). Let v(s) = -s**2 + 8*s - 4. Let b be v(z). Is 11 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12814.\nAnswer: 2, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 53778871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/(-7) + 10 - (-9001)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2\/7*f**3 + 162\/7*f - 260\/7 - 12\/7*f**2 = 0.\nAnswer: -13, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 810 and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5385281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.04 (b) -13\/2 (c) -3\/305\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05433591 to 4 decimal places.\nAnswer: -0.0543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 6, p = r - 6 - 5. What is the greatest common divisor of r and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/81247 - -3819011\/32661294. Calculate the common denominator of f and -67\/42.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 22*m**2 + 286*m + 18. Give l(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**4\/4 - 5*u**3\/3 - u**2 + 3*u - 1. Suppose 0*l + 20 = 5*l. Suppose -j + 1 = -3*k + l*k, 4*k - 40 = 5*j. Determine i(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -338 + 351. Suppose -5*h + 32 = -q, -2*q = -h - 3 + w. Calculate the lowest common multiple of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -190, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*n - 1)*(-2 - n + 2) + (3*n - n - 3*n)*(-n - 4*n + 3*n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 6:31 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d - 26*d + 53*d + 2282*d**2.\nAnswer: 2282*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c = -18*c - 352 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2930564?\nAnswer: 2, 7, 13, 83, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -610011 divided by -81?\nAnswer: 7531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 0.7, 3\/5, -1\/5.\nAnswer: -1\/5, -1\/8, 3\/5, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 733 + -732.99995774. Round a to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 8*t - 4. Let n be (1*2)\/((-2)\/7). Let s be g(n). Let y = -2 - s. Calculate the remainder when 25 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 9:52 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 54 = 4*b, 6 = -2*a - b - 15. What is the common denominator of -47\/3 and (-282)\/6*(-2)\/a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1200674 is divided by 249?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**2 - 3*h**2 - 5 + 12*h**2 in the form l*h + s + u*h**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/6*2\/(-3). Let k = 8076 + -8072. Calculate the remainder when (1 - -6)*(-1)\/s is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1864444581 and 3565.\nAnswer: 1864448146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 5*a + 4. Let f be y(5). Let m = 3 + f. Find the common denominator of -109\/20 and m + -7 - 17\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -153\/19, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/46021452 and -47\/322150164.\nAnswer: 322150164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 2301.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427126313 to the nearest integer?\nAnswer: 20667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l + 5. Let w be v(0). Solve -13 - 2 = w*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 10546.\nAnswer: 63276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(168) - 3*sqrt(168)) + sqrt(168))\/sqrt(6).\nAnswer: -2*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57915)\/(-1215)*36\/(-39)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + z**2 + 5. Let d be y(0). Suppose -2*p + 18 = 4*s, d*s - p - 20 = 6. Suppose 5*m + 40 = s*h, -h - m = h - 7. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383957 is divided by 84?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66878 is divided by 719?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 387*a**2 - 88*a + 381. What is the tens digit of h(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 99675 - 3*d**2 + 10*d - 97914 - d + 2*d**2 to t + q*d**2 + z*d and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147 + -140 - (9 - 8 - (1 - -1) - -61).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*f + 3)*(5*f**3 - f**3 + 0*f**3) - 2*f**3 + 4*f**3 - 2*f**4 + 4*f**4.\nAnswer: 10*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 2*o - 6. Let s be b(-2). Suppose 24*f - s = 21*f. Let g(k) = k + 4. Calculate the lowest common multiple of 1 and g(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -15. Let b = -14 + u. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 6\/11 (b) -2\/9 (c) -0.31 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27474, -27490, -27506, -27522, -27538?\nAnswer: -27554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7889 + 1076 = -475*r + 2212 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + 1 + 5 - (443 - 459).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (6 + (-4 - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 - (-74 + 101 + -57).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 4*b - 3. Let l be p(-7). Let u = l + 135. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1478.8579 rounded to the nearest ten?\nAnswer: -1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10649, -21295, -31941, -42587, -53233, -63879?\n\"Answer: -10646*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56.7 - 52. Let c = q - 6.35. Let w = -1.6500159 - c. Round w to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*d - 4*d + 10*d)*(3 - 1 + 0)*(2 - 3*d**2 + 0*d**2 - 2*d**2)*(3*d + 0*d - 8*d) as g*d**2 + w*d + a*d**4 + c*d**3 + m and give g.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56, 129, 212, 299, 384?\n\"Answer: -c**3 + 11*c**2 + 47*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 227220995?\nAnswer: 227220993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 1.4, -78, 4, -2, -2\/13?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: -1a16 (base 13) to base 15\nAnswer: -1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9153183\/1234 - -14835\/2. Which is smaller: -2\/5 or o?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3))**(1\/17)\/(l**(2\/3))**(-29))\/((l\/l**(-1\/4)*l)**43*l*l*l**(2\/3)*l\/l**(1\/3)) assuming l is positive.\nAnswer: l**(-16465\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*i + 1315 = w, 4*w = 2*i + 1056. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(2 - 36)*(3 + -4)\/(-2). Let y be -3 + 1*0\/(-1). Let d be -8*y\/(-15)*10. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49.3 + -0.2933058\nAnswer: -49.5933058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -201639\/14 - -14410. Calculate the common denominator of h and 41\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -752 + 13*i + 12*i - 24*i - 732.\nAnswer: i - 1484","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 90*g**2 + 1970*g - 2513. Give h(-46).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 6\/43 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(((-3)\/(-76484))\/(1410\/(-376))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04232428*0.4\nAnswer: 0.016929712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 1. Let x(p) = p + 4. Let d(q) = -q - 1. Let c(o) = -2*d(o) - x(o). Let k be c(w). Let n(t) = t**2 - t - 4. Determine n(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 2*l**2 - 3*l - 5. Let u(z) = -z + 15. Let d be u(7). Let c(o) = 2*o**3 + 6*o**2 - 8*o - 14. Let b = -1518 + 1515. What is b*c(v) + d*k(v)?\nAnswer: 2*v**3 - 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117 + -121. Let y be (-6)\/(-21) + (-64)\/126. Let r = -4459.04 - -4459. Which is the second biggest value? (a) r (b) w (c) 3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37223 or -37224?\nAnswer: -37224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1204760 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*1 + 1 + -1. Suppose 2*b + 9 = -b. Let h = b + 4. Sort 4, a, h in ascending order.\nAnswer: a, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16.74 and 0.5.\nAnswer: -16.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 25 = 3*k, o + 0*o - 5*k = -5. Calculate the common denominator of 83\/15 and 10\/o - (-96)\/45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**4*j + 22*b**3*j + 116*b*j wrt b?\nAnswer: 12*b**2*j + 132*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**4 + 0*f**4 - 6*f**4 + (0*f**3 - f**3 + 0*f**3)*(-2*f + 3*f + f) - 34*f**4 + 204*f**4 + 56*f**4.\nAnswer: 222*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*h**3 + 3 + (3*h**2 - 2*h**2 - 3*h**2)*(-5*h - h + 2*h).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000860318 to 7 dps.\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*p**3 - 26*p + 29*p + 21*p**3 - 44*p**3 - 6 - 6*p**4 in the form c + j*p**4 + y*p**2 + w*p**3 + d*p and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*k + 8 = 0, -5*m + 4 = 3*k - 5*k. Suppose 4*g = -m*g + 160. Let v(b) = -44*b - 487. Let q be v(-12). Which is smaller: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 3 (c) 358\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 16*n + 31. Let g(a) = 11*a + 21. Let m(w) = -8*g(w) + 5*t(w). Is m(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -122.\nAnswer: 23\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, f: 3, r: 13}. Give prob of sequence kffr.\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1779224 less than -1779232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-69)\/(-9))\/((-170)\/510)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d + 377 - 377. Let j(p) = -4*p + 0*p + 5*p. Calculate a(j(y)).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/288 and 125\/20706?\nAnswer: 993888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 69*g**3\/5 - 5859*g**2\/5 - 102*g = 0?\nAnswer: -2\/23, 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 10*z**2 - 24*z - 3. Let s be j(12). Which is smaller: -4 or s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*h**2 + 48*h**2 - 60*h**2 - 50 + 53.\nAnswer: -46*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 24 + 5\/2*o**2 - 11*o + 1\/3*o**3. Let t be a(-7). What is the greatest common factor of t and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 8*n**3 + 150654*n + n**2 - 150654*n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 20 = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, 438, 695, 978, 1287, 1622, 1983?\nAnswer: 2370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 46 - 222 = 0. What is the greatest common factor of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1743, -5, -543 in decreasing order.\nAnswer: 14, -5, -543, -1743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 706 - 2738 = 0. Calculate the greatest common factor of 410 and q.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3)\/(d\/d**(-1\/4)*d)*(d*d**(-3\/2)*d)\/d**(-2\/15))**(-3\/14) assuming d is positive.\nAnswer: d**(117\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 3:29 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**5\/60 + 11*c**4\/24 - 11*c**3\/6 - 6*c**2. Calculate the least common multiple of v(9) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.348 + -0.348. Let d = 0.3 - 0.2. Which is the closest to d? (a) 10 (b) 2\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 2*b**2 - 6*b - 9. Determine c(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -15*g**3 + 2*g**2 + 73*g + 68. Let t(s) = -8*s**3 + s**2 + 37*s + 38. Give -9*t(u) + 5*w(u).\nAnswer: -3*u**3 + u**2 + 32*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/5 + k**2\/5 - 6*k.\nAnswer: k*(k - 5)*(k + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 - 2 - 445*v + 5*v**2 + 450*v + 4*v**2 + 5*v**2 + 17*v**2 + (2*v**2 + 2*v**2 - 6*v**2)*(2 + 0 - 1) to the form d + i*v**2 + x*v and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1169457665.\nAnswer: 5, 191, 347, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4124, -8319, -12556, -16829, -21132, -25459?\nAnswer: -29804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 272185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10)\/((-5)\/20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1 = 7. Let k be 1 + 2\/(g\/(-5)). Suppose 5*n - 3*n = -k. Which is the nearest to -1? (a) 1\/2 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1060*m - 630. Let i(y) = 118*y - 70. Let f(n) = 35*i(n) - 4*u(n). Differentiate f(p) with respect to p.\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -7105 + 28401 + 139*n**3 + 132*n**2 - 137*n**3 + 2904*n = 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 0*b**6 + 31\/12*b**4 + 5\/28*b**8 + 0*b**7 + 0 + 0*b**5 + 0*b**3 + b**2 + 38*b. Find the third derivative of p(s) wrt s.\nAnswer: 1200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3855.829388 + 33497.\nAnswer: 29641.170612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 14 = 4*x - 11, z = -x + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/(24\/540*9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 5.2. Let d = -85 - -83. Sort -3, d, g, 4 in descending order.\nAnswer: g, 4, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2. Suppose 0*n = 5*n - 10. Let w(i) = -i**2 + 5*i - 2. Let z be w(4). Let u(x) = -3*x**2 + 6*x**2 - n*x**z. Determine v(u(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u*u*u**(1\/11))\/u*u*u\/(u\/u**(-11)) assuming u is positive.\nAnswer: u**(-87\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 3. Let m be x(-4). What is the units digit of ((-3)\/(-12))\/(m\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 3*n**2 - 2*n - 1. Let z = 39 - 62. Let c = z + 19. Determine b(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncyyuea. What is prob of picking 1 y and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 2:05 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (10\/900*-15)\/((-2)\/326724)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2458783721?\nAnswer: 2203, 1116107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.954 - -23. Let s = -0.154 - a. What is the nearest to -1 in 3\/5, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -899371\/130 + 6918. Find the common denominator of a and -5\/104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 9, -0.5, 134 in descending order.\nAnswer: 134, 9, -0.5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 28. Suppose 4 = b*z - 2*z. Let u(d) = -d**2 - d + 1. Let p(l) = -4*l**2 - 3*l + 4. What is z*p(f) - 3*u(f)?\nAnswer: -f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7034.\nAnswer: 2, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1419\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**3 - 5*u**2 - 5*u. Let m be (-5)\/(-50)*0 - (2 - -1). Let n(f) = -2*f**3 + 3*f**2 + 3*f. What is m*r(j) - 5*n(j)?\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*1 - sqrt(220)) + sqrt(55) + -1*2*sqrt(55))\/(-1*sqrt(704)*-6).\nAnswer: -sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*g - 11*g - 330*g**2 + 291*g**2 + (-4*g + 4*g - g)*(-2*g + 3*g - 3*g) + 2*g**2 - 4*g**2 + g**2.\nAnswer: -38*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - 4*g**2 + 4*g**3)*(299 - 301 + 5*g + 16*g).\nAnswer: 84*g**4 - 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -258 + 263. What is the closest to -0.01 in 7, z, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23884*0.048\nAnswer: -1146.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 5\/(-2))*(-752)\/282. Solve -3*b = 9, 2*t = -p*b - 128 + 112 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106\/3 - -36. Which is the nearest to 0.1? (a) o (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 5*o**2 + 7*o + 8. Let m be d(-6). Let l(a) = 5*a - 2. Let n(z) = z. Let v(h) = l(h) - 4*n(h). Calculate v(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 13 + 28 - 19*s.\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 7.3. Let x = 10.4 + -10.23. Let a = x - 0.67. Sort 2.8, w, a in decreasing order.\nAnswer: 2.8, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34373757*c**3*o*z + 34*c**3*z**2 - 14*c**2*z**3 - 9*c**2 - 2*c*o*z**3 - 308*z wrt o.\nAnswer: 34373757*c**3*z - 2*c*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**4\/24 - 5*h**3\/2 - 19*h**2 - 2. What is m(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 1:53 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, f: 4, s: 5, m: 1}. What is prob of sequence msnn?\nAnswer: 5\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-3)\/(-2))\/(1\/2) - (-22763)\/(-221)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**3 - 2*x**3 + x**3 + (2*x**3 + x**3 + 0*x**3)*(2 + 3 - 1).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 12. What is the second derivative of i*o**4 - o - 2*o - 9*o**4 wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*w = 88*w - 90*w - 8704 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3895 and 17005?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15807 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 4*w + 2. Let g be b(-4). Let -j**3 + 0 - 2*j**4 + 2*j**2 - j**3 + 0 + g*j = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*b - 3*s, -3 + 13 = -2*b - 4*s. Let f be ((-1)\/b)\/(3\/(-27)). What is the second derivative of 4*v - 3 + f + 4*v**2 - 2*v**2 wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1.4553, 1\/2, 9, -2?\nAnswer: 1.4553","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1977 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5229110 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: Sort -1, -598652, 1 in increasing order.\nAnswer: -598652, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1) + (8 - (13 + -11)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*y - 456*y + 101*y + 99*y + 103*y + 54*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-6))\/((-33)\/(627\/(-38))). Which is the closest to x? (a) 0.2 (b) -1\/8 (c) 1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 35*x - 38*x = 3173, -4*z + 3183 = -x. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70576\/20*480\/192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5736?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 40. Let r be -2 - -11 - (0 + -3). Calculate the remainder when r\/((-33)\/(-10) + -3) is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 169*p**2 - 158*p + 1672. Determine h(-168).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-7)\/o)\/(o\/(o**12\/o*o)))**(1\/3)*(o**2\/o**3)\/(o**(-3\/2)\/(o*(o*(o**(2\/3)*o)\/o)\/o)) assuming o is positive.\nAnswer: o**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6322 + 45*x + 6322 + (2 + x - 2)*(-5 + 1 + 1) in the form k*x + r and give k.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + -8 + -1 + (268 - 275).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, w: 1, c: 4, q: 4, v: 1, t: 1}. What is prob of sequence wcq?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 823, 812, 803, 796, 791?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4*c = -32, 98*c - 95*c + 7 = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 77\/2 of a meter?\nAnswer: 3850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84207079 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: Simplify 3 + (sqrt(833) + 4 + sqrt(833))**2 + (sqrt(272) - (sqrt(272) - (((sqrt(272) + -1)**2 - sqrt(272)) + 3))).\nAnswer: 100*sqrt(17) + 3627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 8 - 12. Let c + b**5 + 2*b**4 - 2*b**3 + 8*b**2 - 5*b - 2*b + 0*b**4 - 4*b**4 = 0. Calculate b.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(3328).\nAnswer: 3 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + d**4 + 3 + (d**2 + d**2 + 0*d**2)*(0*d**2 + 3*d**2 - 2*d**2))*(-9 + 1 + 14).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*p**4 + 1111077*p**3 + p + 20943248?\nAnswer: -288*p**2 + 6666462*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 + -1.3. Let y be (3\/(-6))\/(4\/(-544)). Let s be y\/42 - (-4)\/(-14). What is the third biggest value in s, g, 4\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1203091*m**2 - 401059*m**2 - 400938*m**2 - 401056*m**2.\nAnswer: 38*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-16)\/(-320)*(-5)\/6*-16\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**3\/2 - 5*s**2\/2 + 451*s. Let t(d) = -d - 1. Give 10*t(w) - 2*x(w).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -66\/7 (c) 3 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 1 - 7 + 0 - 2*p - p**2 + 7*p. Let x be v(4). Is (x - -50) + (-2)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2882 and 2031024.\nAnswer: 22341264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okkokkookoooooooooo. Give prob of sequence oo.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1baa827 (base 12) in base 8?\nAnswer: 26543037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7a4 (base 16) to base 4\nAnswer: 132210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 10785?\nAnswer: -21570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -10 + (-66)\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22294 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b**4 + 54*b**3 + 6481*b - 22421907 wrt b.\nAnswer: -16*b**3 + 162*b**2 + 6481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 4872908 = 472908. What is n rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1477\/(-35) - -28)\/((-6)\/150*5).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 1:16 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 677 + -677.00001038. Round m to 7 dps.\nAnswer: -0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-10)\/(-4))*33\/198?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2. Let t(l) = l**3 - 12*l**2 + 3*l - 3. Let z be t(12). Suppose 8*q = z - 1. Let u(c) = q*c - 6*c + 5*c. Determine i(u(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 - 495*k + 8762. Let c(g) = 85*g**2 + 13365*g - 236585. Let d(n) = -2*c(n) - 55*p(n). Factor d(b).\nAnswer: -5*(b - 76)*(b - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -5*x - a, 6*a - 11*a = 2*x - 18. Suppose -t + 3*o + 17 = 0, 5*t - o - 24 = x. Solve 0 = 4*m - 4, 3*b + t + 3 = -m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 14) in base 11?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0. Suppose -11 = p - 60. Let m = 243\/5 - p. Are m and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -181633*f**2*h**3 - 12*f**2*h**2 + f**2*h - 182*f**2 - 3*f*h wrt h?\nAnswer: -1089798*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*u**2 + 2*u**2 - 5*u - 10*u**2 + (-2*u - 3 + 3)*(2*u - u + 0*u) to the form o + t*u**2 + l*u and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 183811615 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224241.\nAnswer: 3, 74747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159064 is divided by 52997.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7220*g = -3640*g - 3624*g + 616 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + 0 + -5 + 1. Let v be 58\/29 - 2*n. Suppose c + 20 = 5*c. Solve -c*s + v*s - 26 = 3*m, -2*s + 5*m + 2 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3401097280 to the power of 1\/2, to the nearest integer?\nAnswer: 58319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 20 + 13 + -11 + (-17 - -27)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + (sqrt(75) - 1*sqrt(75)))**2 - -3*(-1*sqrt(27))**2*-5.\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 2. Let r be i(-2). Let n(p) = p**2 + 2*p - 3. Let q be n(r). Suppose -b + 28 = -q. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-6)*48\/(-32). Let z = 32 + -19. Let s be (2\/(-5))\/((-4)\/(20\/z)). What is the nearest to -2\/9 in x, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*((sqrt(468) - (sqrt(468) - (-2 + 1 + sqrt(468)))) + (sqrt(468)*1)**2*-1) + 0).\nAnswer: -5628 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -70332\nAnswer: -70332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j + 69. Let t(r) = -15*r - 207. Let a(p) = 7*n(p) + 2*t(p). Let f be a(7). Suppose 108*k - f*k = 152. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2056 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3 - 20*n - 12*n - 29*n + 82*n. Let y(s) = 21*s + 4. Give -4*a(d) + 3*y(d).\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 0*l + 390. Let r = 372 - l. Sort r, -2, 5, 0.\nAnswer: r, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 63*p + 600. What is the remainder when 88 is divided by f(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4032 and 92608?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*o**2 - 19*o**2 - 22*o**2 - 37*o + 8*o - 25*o.\nAnswer: -3*o*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f**2 + 2. Determine c(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 494606896*a**4 - 879833*a + 4 wrt a.\nAnswer: 5935282752*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y - 1. Let t(w) = 21*w + 5. Let m = -16 + 6. Let c = m - -8. Let h = 311 - 322. What is c*t(u) + h*g(u)?\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -831 >= -828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2822934\/11 or 256629?\nAnswer: 2822934\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 550987.9999696 - 550991. Let o = -3 - m. Round o to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5, o - 5*t + t = -17. Suppose -5*a - 2*k - o = 2*k, 8 = 2*a - 3*k. Calculate the smallest common multiple of -2*5\/(-2) + a and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -179*v**3 - 10*v + 10*v**2 + v - 167*v**3 + 14 + 345*v**3. Determine j(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/417906 and 23\/54?\nAnswer: 417906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1\/4, -105.4, 5\/6, -289\/5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*h - 195*h - 199*h = -12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 37*a - 184. Let n be d(5). List the prime factors of 215 + n\/(6\/42).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47396 and 3808?\nAnswer: 2654176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 1\/2*-29. Let p = v + -13. Which is the smallest value? (a) -0.03 (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38953 by 5881.\nAnswer: 38953\/5881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 4. Let k(m) = -m**b + 4 + 2*m - 1 + 2*m. Let s(n) = 4*n**3 + n**2 - 2*n + 1. Let d be s(1). What is k(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6 - 4*d**2 - 8 + 4*d**3 - 2*d**2 - 2*d - 2*d**3 + d. Let b(j) = 10*j**3 - 30*j**2 - 6*j - 11. Give 2*b(i) - 11*u(i).\nAnswer: -2*i**3 + 6*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - -8)*16\/6. Let f be 15*4*2\/n. Solve -1 - f = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**2 + 36*y\/5 + 4\/5.\nAnswer: -4*(y - 1)*(10*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(19) + -5 + sqrt(19) + sqrt(19) - sqrt(19)))**2 + -3 + 3 + sqrt(19) + -1 + sqrt(152)\/(sqrt(40)\/sqrt(5)).\nAnswer: -178*sqrt(19) + 908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4469 rounded to 2 dps?\nAnswer: -1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 6 = 6*d. Suppose d*h = 15 - 3. Calculate the remainder when (-8)\/(-2)*(4 - (-110)\/(-40)) is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25\/(-40) + 167*2227\/136 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*(-3)\/2*-1. Suppose -3*c + o = -0*c. Let m = -26 - -36. Solve -c*g = -0*g + m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 50 = w - 6*w, 3*q + 2*w + 55 = 0. Let a be (1 - 21\/q)*5. Let r = a - -21. What are the prime factors of r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**7*o\/(o\/(((o\/o**(-14))\/o)\/o))*(o**(1\/3))**13)**(-2\/141) assuming o is positive.\nAnswer: o**(-152\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + p - 13, -4*p = 3*k - 6*p - 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2617789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-2 - 0)\/((-3)\/(-2085)). Suppose -5*q + k = -3459, 2*k = q + q - a. What are the prime factors of q?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -270be (base 15) to base 12.\nAnswer: -60452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -5. Let s = -65\/252 + 1\/28. Which is the second smallest value? (a) s (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.4 (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6429, 6361, 6293?\n\"Answer: -68*d + 6497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*c**4 + 3208*c**2 + 2*c**3 - 69 - 3208*c**2 with respect to c.\nAnswer: -40*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + l = -1, -l - 11 = z - 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -3*x - 25, 5*x + 1603 - 1570 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) -1 (b) 1\/3 (c) 2\/15 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 15129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287079?\nAnswer: 3, 13, 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244532 is divided by 570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19946 or -2114189\/106?\nAnswer: -2114189\/106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from {n: 2, v: 4, h: 1, y: 1, g: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32582868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4201515 divided by 19185.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3131*f - 234174 - 102734 = -1302*f for f.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 849015 divided by -19?\nAnswer: -44685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -128.\nAnswer: -1\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1904800 to the nearest ten thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 176 = -2*l, k - l = -0*k + 44. Suppose -4*o - 2*t = -k, 46 = 4*o - 0*t + t. Calculate the greatest common factor of 48 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 238\/(17850\/4635)*(-5)\/(-3)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-854)\/(-10) - 177\/(-295). What is the greatest common factor of 16 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54*h**2*n**4 - 2*h**2 - h*n**4 - 186*h - n**2 wrt n.\nAnswer: 216*h**2*n**3 - 4*h*n**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.05386 + 0.05386. Let v = -0.2 + 3.2. Which is the nearest to 3? (a) -5 (b) v (c) -3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -568, -972, -1324, -1624, -1872?\nAnswer: -2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 57 - 201. Suppose 5*d + x - f = -x, 4*x - 48 = -4*d. What is the remainder when 39 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/36)\/((-1)\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -94 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/130 - (-1 + -1)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -25. Differentiate -46 - 3*p - k*p**3 - 2*p + 5*p with respect to p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8*z - 4*s - 2290 = 0, 0 = -2*z - s + 929. Suppose 6*i - z + 0 = 0. Calculate the greatest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**2 - 7*u + 11. Let k be i(3). Solve k = -4*g + 73 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005806736 to 5 decimal places.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/40 of a second?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749740 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8594, 8588, 8572, 8540, 8486, 8404?\nAnswer: 8288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0208384 rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -64*h**3 - 4*h**2 + 8*h - 119. Let w(j) = 193*j**3 + 11*j**2 - 22*j + 358. Let f(c) = 11*v(c) + 4*w(c). What is the first derivative of f(x) wrt x?\nAnswer: 204*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/19 - 15\/38. Which is the closest to 0.1? (a) 2\/3 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itlnnlatniii. Give prob of sequence ia.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 18*t**3 - 4*t**2 + 7*t - 2. Let r be d(1). Suppose 0 = 10*i + r*i - 58. Solve 3*m - 4*b = i - 3, 3 = 3*b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 1 - 7 = 0. Suppose -u*i = -0 - 4. Suppose i*t - t = 13. What is the remainder when 37 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h - 8*h - 12*h - 2*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q**2 - 79*q - 235. Determine s(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19777*j**5 - 2*j**3 + 71*j**2 - 115 wrt j.\nAnswer: -1186620*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*((i\/i**4)\/i)\/i*i**(-2\/23)\/i*(i*i*i*i*i**(-2\/3)*i)**(-4\/3))\/((i*i**(-1\/4))**(-29)\/(i**(-2\/5)*i**(-2\/19))) assuming i is positive.\nAnswer: i**(895151\/78660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12726299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y**2 - 41*y + 12. Let s be v(-7). Suppose -3*w - 5*z = -19, -2*w - 4*z + 2*z = -10. Solve -s*d + w = -7, 4*d = -2*f + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3580776 - -14423365647\/4028. Calculate the common denominator of 21\/68 and s.\nAnswer: 68476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 12:13 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from {d: 13, q: 5}.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99960.668 - -99792. What is u rounded to the nearest integer?\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 78836439 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 5*r**2 + r - 1. Suppose 0*x - 2*x - 4 = -w, -w - 10 = 5*x. Suppose 7*m - 3*m - 8 = 0. What is the smallest common multiple of m and f(x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1262*a**2 + 85820*a - 277. What is p(68)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*a - 1882 = -16033. What is the remainder when a is divided by 71?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(8)\/sqrt(2)))\/(sqrt(3)*1*-5).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o**2\/9 + 751570*o\/9 + 196834\/3 = 0.\nAnswer: -26841, -11\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-100 - -77 - (-7 - (0 + 0)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.06942284.\nAnswer: -0.013884568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 299239 a multiple of 640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*m - 39, 0*m + b + 49 = 5*m. Differentiate -m*o**3 + 4*o**3 + 12 - 6*o**3 with respect to o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 802574\/22645 - -889\/1294. Let b = c - 283\/7. Find the common denominator of b and (2054\/(-156))\/(1 - 4\/12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 485121\/(-917280) - 48\/(-90).\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 14. Suppose 5*y + 2 = p*y. What is the common denominator of (-27)\/(-6) + y\/(-3) and -45\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 70 = 4*o, 98*v - 90 = 93*v + 5*o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4714 * -11195.6\nAnswer: 5277.60584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 297752 = 5*g + 34*g. Is g a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b. Suppose w = 2*j - 34, -3*j - 4*w - w + 38 = 0. Let m(u) = 15 - 15 - 3*u**2 - j*u**2. What is y(m(q))?\nAnswer: 38*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 894242.8ms to nanoseconds.\nAnswer: 894242800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**5 + f**5 + 2*f**5 + (-3 + 3 - 2*f**2)*(f**3 + 2*f**3 - 4*f**3) + (-3*f**4 + 5*f**4 + 0*f**4)*(1 + f - 1).\nAnswer: 7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*1\/(-2))\/((-4)\/12). Is (885\/(-10))\/(l\/(-122)) - 4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(-31)*y)*y\/(y\/y**25) assuming y is positive.\nAnswer: y**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6958 divided by 497\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*s + 6*s. Let g = 11 + s. Let a = 3 + g. Which is greater: a or -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 13c?\nAnswer: -13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2116*0.29.\nAnswer: 613.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*d**3\/7 + 10218*d**2\/7 - 19008*d\/7 - 3672\/7 = 0. Calculate d.\nAnswer: -102, -3\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, 2.7, 5, 95?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 87.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 282610*a**3*j**3 + 6*a**3 + 175*a**2*j**3 + 10*a**2*j**2 + 3*a**2 - a*j**2 - 2*j**2 - 13*j wrt a.\nAnswer: 1695660*j**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 9*c**2 - 7*c - 2. Let u be f(9). Let z = u + 162. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120151 divided by 120151?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (8 - (-61 + 11)) + (-2)\/(-1) is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*(sqrt(396) + sqrt(396)*-2))\/sqrt(12))\/((sqrt(108)*1)\/(sqrt(44)\/(2*sqrt(11)))).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 317786 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -121088 minus -2285297?\nAnswer: 2164209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**3)**(22\/3) assuming c is positive.\nAnswer: c**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 4 (b) -1779 (c) -5 (d) 1\/4 (e) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 5*a - 528. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*r**4\/13 - 514*r**3\/13 - 846*r**2\/13 - 206*r\/13 + 140\/13 = 0. What is r?\nAnswer: -35, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 divided by -112478?\nAnswer: -321\/112478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, t: 5, m: 1, y: 5}. Give prob of sequence ytmt.\nAnswer: 5\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -96. Suppose 0 = 5*t - f. What is the common denominator of 1\/6 and 0 + 0 + 47\/t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4373 - 1788559\/409. Let s = -2053\/1636 - d. Let p be 4\/(-6) - (-4)\/(-3). Is s greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 4:56 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 31*m - 87. Let v be f(-25). Suppose -2*n - 9 - 29 = 0. Let t = n + v. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffvo when four letters picked without replacement from fvaaroaaaaafrffaf.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 0 + 0 + 3*b**2. Suppose 34*p - 19 = 33*p. Let k(x) = 5*x - 20*x + p*x. Calculate w(k(c)).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 0*t - 9*t - 40 + 2*t - 8*t. Let u be c(-12). Suppose 2*d + 4*p + u = 6*d, 3*d - 105 = -2*p. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 6*s = 332*g + 3652, -4*s + 8*s + 11 = -g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 39, -1 in descending order.\nAnswer: 39, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + (-1 - 5 - -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.33? (a) 0.22 (b) -4\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 5*a + 1. Let k be f(5). Let v be (3\/6)\/k*2. Suppose -3 = -x - 2*o, 3*o - v = -3*x + 2. Put -3, -9, x in descending order.\nAnswer: x, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4626*s - 16. Let a be v(16). Round a to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**2 - 15800689*j = 0.\nAnswer: -15800689, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 1. Let r(q) be the first derivative of 3*q**3 + q**2\/2 - 10*q + 2. Let x(t) = -3*r(t) + 24*s(t). Determine u so that x(u) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 29. Solve h = -h - c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, k: 2, v: 2, r: 8, g: 1}. What is prob of picking 3 r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**3 + 1257*c**2 + 131040*c - 132300 = 0 for c.\nAnswer: -210, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8493)\/17955 - ((-20)\/14 + 1).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7284, 7439, 7594, 7749?\nAnswer: 7904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 19*c - 13. Let i be v(-18). Let u(r) = r**3 - 6*r**2 + 5*r + 2. Let m be u(i). Solve m*y + 4 = -4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10*z**2 - 8*z. Let v(r) = r**2 - r. Let y be -1*6\/9*12. Let m(d) = y*v(d) + p(d). Let i(l) = 2*l. What is i(m(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 10707*z - 10720*z. Put 0, 31, z, -2 in increasing order.\nAnswer: z, -2, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8728410*a**2 + 15788307*a wrt a.\nAnswer: -17456820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + (sqrt(605) - (-3*sqrt(605) - sqrt(605))*-1) - 6*(sqrt(605) - (0 + sqrt(605)))) + (sqrt(605) + 0 + 4 - (sqrt(605) + 0)*5) + 1)**2 + 0.\nAnswer: -660*sqrt(5) + 21805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-4)*(-256)\/(-64)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40579888?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*y**3 - 32*y**3 + 6 - 4 in the form x*y**3 + q*y + z*y**2 + r and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-2) - -6)\/(-10 + (-74)\/(-4)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**4 - 4*s**4 + 6*s**4)*(2*s + 4*s - 5*s + 3*s - 3*s + s + (2 - 3 + 3)*(s + s - 4*s)).\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16728005 a multiple of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i + 64. Let u be i\/24*9\/(-12). Factor -2*q - u*q**4 - 1\/2 - 3*q**2 - 2*q**3.\nAnswer: -(q + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 25 - 4*d + 21 to m + i*d and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1275*w**3 + 2562*w**3 - 1281*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**3 + 44*v**2 - 97*v - 5. Let m(z) = -5*z**3 - 66*z**2 + 146*z + 8. Let u(k) = -5*m(k) - 8*o(k). Find the second derivative of u(p) wrt p.\nAnswer: 6*p - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6729399791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**2\/2 + 1. Let l be b(2). Let z be (-2)\/(-8)*l*0. Solve -5*x + 3*o + 4 = z, o = -x + 6 - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82*i**2*r**3 - 1218228*i**2 - 4958*r**4 wrt r.\nAnswer: -246*i**2*r**2 - 19832*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43690901 and 1.\nAnswer: -43690901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 30. Let i = 153 - 146. Suppose i*b - 6*b = -z + 9, -4*z - b + 42 = 0. What is the nearest to 0 in -3, z, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*k - 27*k - 1 + 17*k**2 + 10*k wrt k.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 24 = -3*m, 474*k + 4*m - 9 = 473*k. Let t be 1\/7 + (-90)\/42. Let w(a) = -3*a - 4. Let j be w(-4). Put j, k, t in decreasing order.\nAnswer: j, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6912 divided by -192\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 + 0*w**3 + w**3 + (-4*w + 3*w - w)*(w**2 - w**2 + 2*w**2) - w**3 + 8*w**3 - w**3)*(11*w + 0*w - 12*w - 1).\nAnswer: -3*w**4 - 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/2 + 23*u**3 - 266*u**2 + 772*u - 672.\nAnswer: (u - 6)*(u - 2)**2*(u + 56)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - j**3 + 2*j**3 + 2)*(-8*j**2 - 3*j**2 - 3*j**2).\nAnswer: -14*j**5 - 42*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 0. Let d = 2374 - 2375. Is m greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 1\/12*u**4 + 0 + 1\/6*u**3 - 2*u + 3\/2*u**2. Let i be x(0). Solve i*n = -2*y + 7, -2*y = -2*n + 3*y - 27 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (0 + sqrt(1584) + 4)*4*4)**2 + 4 + 3)*-1.\nAnswer: -410135 - 26112*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/(-1)*(-3 - -2). Suppose -2*x + 264 = l. Suppose -x = -y + 28. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 11*n**5\/20 - n**4\/6 + n**3\/6 + 5*n + 4. Calculate m(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.38 minus -202.4?\nAnswer: 222.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.4 - -5. Let f = 2.255 - 0.055. Let h = q + f. Which is the smallest value? (a) h (b) 2\/7 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, r: 17}. What is prob of picking 1 n and 2 r?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 615, 761, 1071, 1599, 2399, 3525?\n\"Answer: 9*s**3 + 28*s**2 - s + 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r**5 + 61*r**5 + 28*r**2 - 31*r**5 wrt r?\nAnswer: 1560*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -2 (b) 4 (c) -3 (d) 19 (e) -23 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)*i*i**(-7)*i*i*i)\/(i\/i**(-2)*i)**(-11)*(i**(1\/2)*i)**(-1\/70)*(i*i**(-2\/19))\/(i\/((i\/(i*i*i\/(i**(2\/3)*i*i)*i))\/i)) assuming i is positive.\nAnswer: i**(320849\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*a**3 - 64*a**3 - 2*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 + 434*x**2 - 844*x + 733. What is g(-219)?\nAnswer: -6275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13261 or 15379?\nAnswer: 15379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*c + 417 = 0, 5*n - c + 485 = -2*c. Let i = -45 - n. Calculate the remainder when i is divided by 1\/((-2)\/(-28)) - 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**2 - 8*h + 7. Is s(-4) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1942 is divided by 170?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*b + 198 - 57, -5*x + 5*b = -645. Suppose -5*j - 64 - 17 = -2*n, 3*n - x = -3*j. What is the remainder when n is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149937 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: Let z = 43 - 41. Suppose -14 = -z*m + 2*s, s - 53 = -3*m - 4*s. Let f(i) = -i**3 + 11*i**2 + 2*i - 12. Is f(m) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 1. Let l be s(-2). Suppose -4*n + 21 = l*n. Find the second derivative of u + 10*u**3 - 7*u**n - 11*u**3 wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 11772 = 2*g, 0 = -3*g - 5 + 2. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/285 and -89\/190845.\nAnswer: 3626055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -590.98681 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5971, -5902, -5781, -5602, -5359, -5046, -4657?\n\"Answer: g**3 + 20*g**2 + 2*g - 5994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-7 - (-12 + -3)) + -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -512624 (base 10) to base 12.\nAnswer: -2087a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5729*g**3 - 5*g**2 + 10*g - 2. Let c be b(3). What is c rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = v, -9 = o + 2*v - 15 - 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21442 divided by -23515?\nAnswer: -21442\/23515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a decade in months?\nAnswer: 1824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -551*a + 2. Let y(h) = 2*h. Give y(c(f)).\nAnswer: -1102*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssjxssxeeeu. Give prob of sequence ux.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (11 + (-13 - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14 - 0.14. Let w = 2.2 - 2. Suppose 20*u + 15*u - 36*u = -4. What is the nearest to g in -3\/8, u, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 + 3*b**2 - 179*b - 17*b**2 + 10*b**2 - 160*b + 357*b.\nAnswer: b**2 + 18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 22*m = -56, 0*m - 8 = 3*v + 4*m - 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8643875 by -5.\nAnswer: 1728775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72239, -144474, -216709, -288944, -361179, -433414?\nAnswer: -505649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tot when three letters picked without replacement from {m: 1, t: 2, j: 10, o: 4}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (23\/4)\/(3\/12) is divided by 117\/21 - (-9)\/21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3890534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 13 - 3 = 0. Let i = 1 + f. Calculate the remainder when 40 is divided by i\/(-2 + 5) + 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/5)*h*h**(-2\/3)*h**(-9)*h*h*h*h\/(h\/((h**0*h)\/h*h)) assuming h is positive.\nAnswer: h**(-67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.135704902 to four decimal places.\nAnswer: -0.1357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 332011387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 69. Let l be i(14). Suppose -2*g - l = -1123. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -13292*n**2 + 744393*n\/2 - 574 = 0.\nAnswer: 41\/26584, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**3 - 65*g**2 + 8*g + 112. Determine t(-22).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a factor of 2503402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099.296 rounded to the nearest ten?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 29, -4\/7, 0.1, 0.024?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 674*i**5 + 2*i**3 + 1048*i**2?\nAnswer: 40440*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40506 (base 11) to base 13.\nAnswer: -20c1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2051370 divided by -341895.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -355836?\nAnswer: 71167.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 4 = 2*o, -101*o + 98*o - 4*g = 28 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*37\/((-30969)\/(-155))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2) + 448 + -5. Let l = q + 20. What are the prime factors of l?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(-52*(-1)\/24)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5718541 kilometers?\nAnswer: 571854.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4 = -2*m. Let l(u) = -19*u - 2. Let z be l(-3). Suppose 3*j - 2*v = -7*v + z, -65 = -4*j - 5*v. Solve m*n - 3*n + j = o, -n = -5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402242 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * -35.\nAnswer: 3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25973.\nAnswer: 19, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 55, -5 in decreasing order.\nAnswer: 55, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 4518750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1957.\nAnswer: 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-63)*81177\/(-2). Suppose 2*z = -z - 3, 5*u = 4*z - 22436. Let a = c - u. Find the common denominator of 55\/7 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**5\/3 - 2*m**4\/3 + 6*m**3 - 22*m**2\/3 + 8*m\/3 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 16) to base 8.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as -255140.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8318395021444 take away 92?\nAnswer: -91.1681604978556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/3)\/(z\/(z\/((z\/(z\/z**5*z))\/z)))*(z*(z\/(z\/z**2))\/z)\/(z**(-1\/6)*z) assuming z is positive.\nAnswer: z**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 494\/8 - (-2)\/8. Suppose 0 = -2*g - 4*d + 40, 5*d + o = 3*g - 53. Let u = 3 - -9. Calculate the greatest common divisor of u and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756488951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141 + -137. Find the common denominator of 39\/10 and (3674\/(-56))\/11 + b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/2 of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*f = 0. Suppose f = 2*v - 40 + 2. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113074 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 k when three letters picked without replacement from {m: 1, p: 11, k: 5}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**2 + 2*b**2 - b**2)*(45*b**2 + 6*b**2 + 27808 - 27753) to the form m*b**2 + q*b**4 + a + w*b**3 + y*b and give q.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/180 and 1\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-18 + 10 - 25)*(-t + 2 - 2) + (4 - 5 + 0)*(2*t - 6*t + 5*t))*(-2 + 2 + 2*t).\nAnswer: 64*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 25 + m**4 + 3586*m**3 - 2*m - 3588*m**3 - m**2 as z*m + u + w*m**4 + d*m**2 + x*m**3 and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 9:38 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -27*s - 2. Let y be j(-1). Suppose 0 = 3*h - 7*h + t + y, 0 = -5*h + 4*t + 45. Sort -1, -3, h, 2 in descending order.\nAnswer: h, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1907342 (base 10) in base 2?\nAnswer: -111010001101010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*u - 50*u + 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9258 (base 13) to base 7.\nAnswer: -112563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/7*g**2 - 52\/7 + 8*g = 0. What is g?\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8153.633um to kilometers.\nAnswer: 0.000008153633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, b: 2, f: 3, a: 1, m: 3}. Give prob of sequence mmff.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -258982 or -258983?\nAnswer: -258983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/66 + 0 - (-1 + 2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*h + 4*h**2 + 62*h - 13 - 12*h.\nAnswer: 4*h**2 + 125*h - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32452 and 38.\nAnswer: 32452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 38\/7*d**4 + 4\/7*d - 2*d**5 - 30\/7*d**3 + 2\/7*d**2.\nAnswer: -2*d*(d - 1)**3*(7*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/3 - 17\/(-12) and (-7)\/(-3) - (0 + 1) - 338706\/297972.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -373 - -373.07. Sort l, 4, 0.5, -0.1 in decreasing order.\nAnswer: 4, 0.5, l, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(55)\/(sqrt(245) + -2*sqrt(245) + sqrt(245) + sqrt(245)))**2 + 4.\nAnswer: 240\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 10 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.2 - 18. Put -5, u, -0.02 in descending order.\nAnswer: u, -0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.71259 + -6.2.\nAnswer: -5.48741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 44*l**2 - 10*l - 27. What is the remainder when s(-2) is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) + sqrt(168)*-2 + sqrt(2688)*-2 + sqrt(42))\/(sqrt(6) + -2*sqrt(96) + -1*sqrt(726)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4)**(1\/12) assuming o is positive.\nAnswer: o**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/((-35)\/10) + (0 - -8). Suppose 0 = f*n - 2*n - 12. Solve n*x + 4*q = -19, 0*x - q = 2*x + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/6 and 34\/409.\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*a = 24, 5*a - 24 = -5*q + 2*a. Suppose 4*s - 2*x - 140 = -0*x, q*x = 3*s - 111. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 251*r + 7. Let y(q) = 380*q + 10. Give 7*g(j) - 5*y(j).\nAnswer: -143*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9932 (base 15) to base 14.\nAnswer: bb79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -276 - 239. Let y be (1122\/21)\/((-16)\/(-56)). Let o = y - b. Is 21 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 714163.2 days?\nAnswer: 61703700480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -44711 and -0.2.\nAnswer: -44711.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**3 + 316*p**2 - 387*p + 345. Determine n(62).\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10*v + 9. Calculate z(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**3 - 12*p**2 + 43*p + 29. What is the units digit of o(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 12:50 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -261*r + 79. What is the units digit of k(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4390 + -4369. Solve -12*p + 45 = -y*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 4922474.\nAnswer: -196898.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -1. Let m = u + 6. What is the smallest value in m, 3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-9\/5)\/((q*q**27)\/q) assuming q is positive.\nAnswer: q**(-144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 9 = 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a kilogram in grams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2554\/5*v - 6\/5*v**2 - 340 = 0.\nAnswer: 2\/3, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - d - d)*(-2 + 2*d + 2) + 94*d**2 + 98*d**2 - 193*d**2 + 50*d.\nAnswer: 3*d**2 + 50*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 + 5*x + x**3 + 12*x**4 - 10*x**4 in the form z*x**3 + l + m*x**2 + q*x**4 + i*x and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + -21 + 7 + (3 - 4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.014, 1044, -1\/3?\nAnswer: 1044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-2)*(0 + 1). Let p be (2 - 3)*(r - 3). Solve 11 = -p*a - 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366, -446, -580, -768, -1010, -1306, -1656?\nAnswer: -2060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1570 - -23548\/15. Which is the nearest to -0.08? (a) 4 (b) -2 (c) u (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 3)*(-2*j - 21*j - 30*j)*(j**3 + 0 + 0) to h*j**3 + m*j**2 + v*j**4 + x*j + l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -21*a - 4. Let u(n) = -n + 1. What is -t(w) - 3*u(w)?\nAnswer: 24*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*u + 44*u - 75*u)*(-2*u**3 - 2*u**3 + 2*u**3) to the form h*u**3 + v*u**2 + x*u**4 + d + m*u and give x.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 2*s = 14, 3*a - 17*s = -13*s + 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70 - -6 - 27) + 184?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*j + 1770 + 851 = -1614 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/21 - (-2 + 16\/28). Solve -4*d - 3*k = -10 - 1, v*d - 2*k = 16 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -628.4 - -571. Let v = 3383 + -3315. Let a = v + p. What is a rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210667 = 5*s - 4*j, 0 = 444*s - 448*s - 4*j + 168476. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 + 31?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(5\/10)*-1. Let m be ((-98)\/n + 2)\/3. Suppose m*r - 1470 = 10*r. List the prime factors of r.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 205*s - 2. Is b(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 423\/4 - 1\/4*i**2 + 69\/2*i = 0.\nAnswer: -3, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.82185ng in tonnes?\nAnswer: 0.00000000000002682185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 35 - 7\/2*p + 3\/2*p**2 + 1\/6*p**3. Let f(i) = 0. Calculate i.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -156 - 5?\nAnswer: -15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7989.444 litres in millilitres?\nAnswer: 7989444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 8*v**2 + 2*v. Let k be g(8). Let t be (3 + -10)\/(1 + 0). Let m = t + k. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 12:03 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 673ad8 (base 15) to base 7\nAnswer: 56563235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 2*z**2 - z + 3. Let a be (-303)\/2 + 36\/24. Let r = a + 147. What is g(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m**3 - 3*m - 4*m**3 + 0*m**3 - 5*m**2 - 2. Let n be s(5). Let c = -44 + n. Is c a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*j + 17*j + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 150.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 - (0 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*p + 39, 0 = 3*p + 5*h - 17 - 9. Suppose 4*f - p = 3. Solve -3*b + l = -0*l - 6, 0 = -f*b - 2*l + 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t = -5*k - 67, -29 = -2*t + k. Suppose 0 = -9*u + t*u - 40. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*-1*sqrt(204)*-6)\/(-6*(sqrt(12) + sqrt(48)\/sqrt(4) + sqrt(12) + sqrt(12)) + sqrt(12) - (sqrt(12) + sqrt(768) + sqrt(768)*-3 + sqrt(768))) + 0.\nAnswer: -9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - 4. Let n be ((-12)\/30)\/((-2)\/i). Is ((-70)\/(-28))\/(n\/(-44)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 2*r + 20. Solve 3*a + 8 = -r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*z + 48 - 110 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/11 - 178\/(-132))*3845\/(-5383)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**4*n)\/n**(3\/4))**(-10\/3) assuming n is positive.\nAnswer: n**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 3. Let c = b - -6. Calculate the greatest common divisor of 21 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -27*o. Let n(b) = -14*b. Let m(l) = -3*h(l) + 5*n(l). Let z(j) = j. Calculate m(z(y)).\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p - 3. Let m be i(-8). Suppose -m + 0 = x. Let y be (-3*5\/(-15))\/x. Which is smaller: -0.3 or y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.716729ns in milliseconds?\nAnswer: 0.000005716729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 1:21 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*u - 2*o - 189, u = -o - 188. Let t = -82 - u. Suppose 59*i - 14447 = -12382. Calculate the greatest common factor of i and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-1)\/sqrt(10) + sqrt(17) - sqrt(17) - (sqrt(1377) + sqrt(1377)*2) - (3 + sqrt(17)*2*2))**2.\nAnswer: 192*sqrt(17) + 17417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*j - 7708 = 14696 + 4920. Let b = 18 + 1. Let u be (0 - -1) + -2 + b. What is the highest common divisor of u and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = b - 9*b. What is the remainder when 95 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 6) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*y**2 + 4731*y\/7 - 90\/7.\nAnswer: -3*(y - 15)*(105*y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114744 by -28.\nAnswer: -4098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -2)\/((-4)\/28). Let z = 1218 + -1218.3. Suppose 17 - 12 = -5*i. What is the closest to 0.1 in i, k, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2367*a + 2373*a = -24. Let c(j) = -6*j + 1. Let n(i) = 6*i - 2. What is a*n(z) - 5*c(z)?\nAnswer: 6*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p - 110. Let g = 4 + 1. Suppose 0*f = 2*m - f - 15, 0 = g*m - 2*f - 38. What is the least common multiple of k(37) and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x - 4*x - x + 8*x + 5*x. Suppose 3 = 3*q, 4*q - 3*q = -3*y + 7. Let f(d) = 6*d**2 + 0*d**2 + 2*d**2 - 3*d**y. Calculate f(v(p)).\nAnswer: 125*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12059552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 - h. Let n be t(-2). Let d be (-6)\/14 - 258\/n. Solve -5*i - 31 = -3*y, -3*i - 3 = -3*y + d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 347 + -360. Is -3\/17 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 5*s - 1. Let y be p(-3). Factor -6*a**2 + y + 13*a**2 + 4*a - 8*a**2.\nAnswer: -(a - 5)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**2\/2 - 6*a + 1. Let p be t(-9). Solve 0 = -4*q - 2*w + 5*w + p, w - 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -39*s**3 + 67*s**2 + 73*s + 28. Let h(z) = -7*z**3 + 13*z**2 + 15*z + 5. Let b(p) = -11*h(p) + 2*u(p). Calculate b(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) -2\/13 (c) 0.05 (d) 7 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12224 (base 5) to base 16\nAnswer: 3ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + 3*b = -18*b - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-66)\/(-198))\/(1\/12). Solve 2 = -2*j + y*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2958 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 81272*k + 12353348. Give n(-152).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 10*r**2 + 2*r. Let v be y(10). Suppose v = -p - p. Let u be (-4)\/(-22) + p\/55. Which is the second biggest value? (a) -3 (b) -1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68295.95 nanometers to centimeters.\nAnswer: 0.006829595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2. Let k = -2 + 1. Let m be r(k). Let w be (3\/(-6))\/(3 - 2). Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (5*-2*sqrt(228))\/(sqrt(972)*-4))**2 + 5)*-4.\nAnswer: -10195\/81 + 100*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -941 - -2202. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*f - 412 = 0, -168 = -j - j + 2*f. Let p(w) = w**2 + 8*w + 11. Let t be p(-9). What is the highest common factor of t and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492877 = 2*f - 5*z, -3*z - 411501 = 4*f + 574266. Let j = f + 672441. Suppose -2*u - j = u. Round u to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-4) + 2)*-5. Suppose -2*l + o = l. What is the highest common factor of l and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*j = -61*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m - 7*m = -8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1100101 (base 2) to base 4\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635086 (base 11) to base 10.\nAnswer: 1016978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1406 and 14?\nAnswer: 9842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**5\/120 - o**4\/12 + o**3\/6 + o. Let f(c) be the second derivative of l(c). Let n = 61 - 64. Determine f(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**3\/3 - 9*x**2 + 5*x. List the prime factors of v(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 1113376*o**2 - 1113380*o.\nAnswer: 4*o*(o - 1)*(o + 278345)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(2057) - sqrt(2057)*2*-3) + 4)**2 + (sqrt(153)*-2 + (-3*(sqrt(17) + 1) - sqrt(17)))**2).\nAnswer: 4056*sqrt(17) + 615108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6921 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 445, 3\/8039 in descending order.\nAnswer: 445, 3\/8039, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 332185 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - 2*h - 9*h)*(-1 + 1 - 4*h)*(h**2 + 0*h**2 - 3*h**2).\nAnswer: -120*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuu when three letters picked without replacement from fffffffufffffuffuf?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7946123 and 4044.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + 0.01. Let w = -49 + 195\/4. Let u = -7 - -3. Which is the nearest to w? (a) z (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 5:05 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 = 0, -19*u + 23*u - h - 13733 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -4 + 1 + 17 - 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + -3. Let j be 91\/((-26)\/2) + (-33)\/(-5). What is the biggest value in j, -0.5, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3308236882 to 4 decimal places.\nAnswer: -0.3308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180)\/sqrt(3))\/sqrt(10) - sqrt(294)*-1)*6)\/((sqrt(224)*3)\/(sqrt(700) + (sqrt(700) - sqrt(700)*-2) + sqrt(700) + sqrt(700) + sqrt(700))).\nAnswer: 280*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 8:09 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 152473, 152680, 152899, 153136, 153397, 153688, 154015, 154384?\n\"Answer: a**3 + 200*a + 152272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, i: 4, s: 2}. Give prob of sequence si.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*n = 25*n + 184 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -21, 4, -13 in ascending order.\nAnswer: -21, -13, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 12*b**2 + 9*b**2 + 4*b**2 - b in the form p*b + f + x*b**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6856 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 642, 645, 648, 651, 654?\n\"Answer: 3*n + 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.1736 + 3.831. Let k = d + -0.74. Round k to three decimal places.\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 1 + 10. Suppose 3*b - 21 = 4*u, 2*b + 5*u = -i*b + 35. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 33 = h + h, -5*t = -25. Calculate the lowest common multiple of 6 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/4)\/((-15)\/(-12) - 1). Solve 0 = 3*n + q - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m**(-31)\/m)\/(((m*m*m**20*m)\/m)\/m**24) assuming m is positive.\nAnswer: m**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.38 + 0.72. Let f = -1.3 + -0.3. Let l = b + f. What is the second biggest value in 0.2, 0.4, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 25 = -105. Calculate the highest common divisor of d and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 5*k**2 - k - 2. Let d = -9 + 4. List the prime factors of w(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/(-4))\/(6\/(-8))*-1. Suppose -u = -z - 6. Solve -4*k - 4*y = -z, 4*k = 2*k + 2*y - 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 11:17 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/10 + (-858)\/880)*2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 0.18, 14 in decreasing order.\nAnswer: 14, 0.18, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21, 3, 4\/7, 2\/9, -1\/1597 in decreasing order.\nAnswer: 21, 5, 3, 4\/7, 2\/9, -1\/1597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-56) - -4) + 72\/63.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-1 + -1)) + (-10 - -11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/6)\/((-2)\/(-321)). Suppose 3*x + 3*a - 66 = 0, -5*x - 3*a + c + 7 = 0. Let f = 32 - x. Calculate the remainder when f is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12664 (base 8) in base 7?\nAnswer: -22125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8 + (-1470)\/1512.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o + 9*o - 14*o**2.\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12303322300 - 1?\nAnswer: 12303322244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2467 + 6984 + 8339 - y - 2343 + 3*y to k*y + g and give g.\nAnswer: 10513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11261753 + -0.28175201.\nAnswer: -11261753.28175201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjej when four letters picked without replacement from jfejjjff.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19908*q + 20082*q - 2436 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004396461919 rounded to four dps?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = g - 5*c, 6 = -3*g - c + 20. Let a(b) be the first derivative of 2*b + 1\/2*b**2 + 1 + 1\/2*b**4 + b**g. Determine a(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10210221 - 10202102111?\nAnswer: -10121121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 422501953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.949 + 0.051. Let s = 19.99958 - g. What is s rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*-8.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33733823*q**2*w**3 - 817*w**3 - 1829*w**2 wrt q?\nAnswer: -67467646*q*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21110333 + -103?\nAnswer: 21110230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(202*o - 269*o - 262*o)*(4*o**4 - 5*o**4 + 0*o**4).\nAnswer: 329*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 4*m - 11. Is j(-8) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*o**5 + 788*o**4 - o**2 - 259039*o wrt o.\nAnswer: 400*o**3 + 9456*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 0 + 0 + (-6 + 5 + 0)*(2*j - 4*j + 3*j) - 3 + 0*j + 0 + 2*j.\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18398938717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 10:40 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 8*h - 20. Let a be s(9). Let m = a + 19\/2. Let c = 4.9 + -0.9. What is the second smallest value in m, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -270862.5379?\nAnswer: 270866.5379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01071 and 0.5.\nAnswer: 0.51071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -116, -182, -250, -320?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*125575.\nAnswer: -502300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 - (-17 + 23)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1404231 is divided by 849.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2 + -3)*-3)\/(-1). Let s = 20 + r. What are the prime factors of (9 - s)\/((-3)\/(-21))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 380 and 20045?\nAnswer: 80180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1073937070 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - y**2 - y + 20. Let o be k(0). Suppose -5*z + q + 1 = 5, -5*q = -o. Is (z - -1)*3*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*c + 15 = -269*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 244 and 2.9?\nAnswer: 707.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21097.\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:53 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 + 2.9. What is the third smallest value in 1\/10, p, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/834354 and -55\/741648?\nAnswer: 6674832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54652, 109304, 163956, 218608, 273260?\nAnswer: 327912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f + 7*f - 4*f - f - 2*f as p*f + q and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l = 101*l. Put 80, l, -2 in descending order.\nAnswer: 80, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 y when three letters picked without replacement from {x: 1, v: 5, y: 4, q: 1, t: 1}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2834 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 12. Sort c, 0, -5 in decreasing order.\nAnswer: c, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.14 + -22.14. Let g = -22.02 - l. Let h = -5.98 + g. What is the smallest value in 0.2, -2\/9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -22, 7 in increasing order.\nAnswer: -22, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 619, 524, 431, 340?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/255 and -47\/3677697?\nAnswer: 312604245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3011.\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(4*sqrt(294)))\/(2*(sqrt(98) + sqrt(2) + sqrt(2))*1)*-1.\nAnswer: -sqrt(11)\/504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 99.61637 milligrams?\nAnswer: 0.00009961637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 6. Let c be 4\/14 + 180\/f. Calculate the greatest common factor of 65 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Let d = -3 + 7. Let v = 1058\/11 - 96. Sort d, v, a in ascending order.\nAnswer: v, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(-3*t**3 + 5*t**3 + 0*t**3)*(1 - t - 1) + 0*t**4 + 3*t**4 - 2*t**4.\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8531777.6 rounded to the nearest one hundred thousand?\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 22 + 26 = 0. Let m = 45 - -16. Suppose 58 - m = -t. Calculate the highest common divisor of h and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**3\/6 - 13*u. Let h(f) = -14*f**2. Calculate h(t(j)).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**5\/4 - 35*i**4\/2 + 75*i**3 - 90*i**2.\nAnswer: 5*i**2*(i - 6)**2*(i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1676057 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-45) - (1 - (-86)\/(-18)). Find k, given that -m*k**2 + 5*k - 10 - 10*k**3 - 10*k**4 + 10*k**2 + 14*k**2 + 5*k**5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 1. Let r be 2\/2*14\/1. Let l be 6\/9*(-6)\/r. Which is the nearest to h? (a) 0.1 (b) -1\/10 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400545 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 0. Suppose -d*f + 19 = -1. What is the third derivative of 0*n**5 + 5*n**5 + n**f + 2*n**2 wrt n?\nAnswer: 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148275 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 368359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 1125700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 3e?\nAnswer: 3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 + 6*x**3 + 4*x**2 + 2*x**2 - 5*x**2.\nAnswer: 4*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 4*g**2 + 2*g + 2. Let p be t(2). Let b be -1 - p*(-2)\/(-4). Suppose h - 48 = -b*h. Is h a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*u**3 - 5*u**2 + 5*u**2 - 43*u**3.\nAnswer: 21*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 t when three letters picked without replacement from {t: 3, d: 17}?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -177, -198, -235, -294, -381, -502?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23313*u = 23329*u + 34 + 94 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-15)*-6 - 24\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589021628.\nAnswer: 2, 13, 23, 587, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2 = -2*x - 8, -4*x = 3*o - 32. Sort 4, x, -4, -1 in descending order.\nAnswer: x, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 274 + -75. What is p rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 11:53 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317814*g = -317788*g + 208 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/70*(-77)\/(-22). Let b = 59 + -57.9. Let c = -0.6 + b. Put -3, r, c in decreasing order.\nAnswer: r, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, -77, 7?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 16356?\nAnswer: -16361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 - r - 2. Calculate z(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 208 - 206.26. Let h = 1.551 - w. Let j = 0.126 + h. Round j to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 2. Let d be z(-15). Let j(g) = 5*g + 76. Let w be j(d). Let p(i) = -2*i + 19. What is p(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 - 204\/195. Let l = 2539\/195 - m. What is the common denominator of 4\/(-18) - 226\/(-126) and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*x**3 + 2*x**2 - 2*x**2 - 1288*x**3 + 603*x**3 + 342*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 20*y - 36. Calculate the highest common factor of y and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12021 - 1?\nAnswer: 12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/(-4) + (-6)\/(-4). Let s(v) = 0*v**2 - 2*v + 2*v + 7*v + v**2 + p. Suppose 0 = -c + 2*o - 4, -19 = 4*c - 2*o - 3*o. Calculate s(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15756245*j**4 + 20309061 wrt j.\nAnswer: -63024980*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -465.5999 - 0.41.\nAnswer: -466.0099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.813191 days in hours?\nAnswer: 163.516584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -0.2, 3, 14.4, -0.29?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*(f*f**(2\/15)*f*f)\/f*f*f)\/(f**(-8)*f*f)*f**3*f**(15\/7) assuming f is positive.\nAnswer: f**(1919\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -12.5. Let k = j + -1.5. Let r = 48 - 93\/2. Which is the third smallest value? (a) 2\/15 (b) k (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(91\/14 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262804, 258379, 253954, 249529, 245104, 240679?\nAnswer: 236254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8527b (base 12) to base 11\nAnswer: -10a460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 3)*(22 + 21924\/(-990)).\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58997 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 9762.\nAnswer: 9761.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 25, 6*t + 5*k = t - 5. Let q(s) = 2*s**2 - 8*s - 4. Let n be q(7). What is the greatest common divisor of n and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -15, -5, 58, 5, -2, -3 in decreasing order.\nAnswer: 58, 14, 5, -2, -3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3309501 and 65.\nAnswer: 16547505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73398 and 39.\nAnswer: 73398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.558399m to micrometers.\nAnswer: 5558399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -93.8 + -5.2. Let h = 107.2 + m. What is h rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1778698.\nAnswer: 2, 889349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-8 - -14) + 1 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 378396849*c**2 - 59227986*c.\nAnswer: 756793698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 10*v**3\/3 + 95. Let f(o) = -13*o. What is z(f(x))?\nAnswer: 1690*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*k - 19*k + 2*k)*(-1 - 5 + 5)*(-30*k + 29*k - 15*k + (-2 - 2 + 6)*(5 - 2*k - 5)) - 4*k**2 + 2*k**2 + k**2.\nAnswer: -1301*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/8*((-15048)\/(-252) + -55). Solve -60*l**2 - 8 + 9\/4*l**5 + 46*l**3 + 36*l - r*l**4 = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoxqqxaxqxzsaxz. What is prob of picking 1 s and 1 z?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2. Let p(c) = -c**3 - 3*c**2 - 3*c + 4. Let s be p(-3). Let i(z) = 4*z - 13 + s. Calculate i(h(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-4) - (1 + (-15)\/12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*q - 360 = 371*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 6*h - 224. Let p = h - -100. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 divided by 6?\nAnswer: 263\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009599807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 10 + 10 - 104 + 104 - 9*q + (2*q + 2*q - 6*q)*(0 + 2 - 1) + 2*q + 2*q - 3*q - 4*q + 5*q - 2*q)*(1 - 2 + 0).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*p**3 - 4*p**2 - 27 with respect to p.\nAnswer: 63*p**2 - 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 4*t + 31. Let h be a(7). Suppose -h*v = -14*v - 2360. Let j = -197 - v. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 5*h = 5*s - 70, 31 = -4*s + h. Let v = -55 - -15. Calculate the common denominator of -39\/16 and ((-666)\/v)\/(s\/(-6)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10))**(-4\/23)*q*q**(-13)*q*(q*q\/(q**(-8)\/q))\/q assuming q is positive.\nAnswer: q**(17\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.68 rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1485)\/210 + 11)*8*10\/200\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 24*m - 2099. Give j(75).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010000222 (base 3) in base 5?\nAnswer: -2312304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*y + 118*y - 15 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.000898861 - -0.0009. Round b to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 - -91. Suppose 3*n + c - 337 = 0, 4*n = -10*c + k*c + 446. Calculate the highest common factor of 32 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2192*f**2 - 3692. Let w(q) = 6576*q**2 - 11088. Let h(r) = -7*n(r) + 2*w(r). What is the derivative of h(b) wrt b?\nAnswer: -4384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2474, -2473, -2472, -2471, -2470, -2469?\nAnswer: -2468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4 - 4) - 2083\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, z: 5, i: 2, b: 1, r: 1}. Give prob of picking 1 y, 1 z, 1 i, and 1 r.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (490\/147)\/(4\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 27 = x, -2*x + 10 = -0*x. Suppose 0*s - v = -s. Let l(o) = o**2 + o - 9. Let z be l(-4). Solve 5*d = 4*k + s, -2*d = 3*k + z*d - 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**2\/2 - 10*u + 3. Let z be k(10). Solve z = 5*l - 24 + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 7*m**2 + 7*m - 5. Let t be d(-8). Let x be 3\/2*(-68)\/(-6). Solve 3*r - 6*p = -2*p + x, t*r + 5*p + 28 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 15350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-1 + 4\/12). Let b(o) = -o**2 - o + 1. Let q(m) = 6*m**2 + 7*m - 7. Let a(l) = s*q(l) + 42*b(l). Let w(c) = -2*c**2. Calculate a(w(h)).\nAnswer: -24*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 202*g**2 + 3*g**4 + 157*g**2 - 26*g**3 + g**4 - 360*g**2 + 2*g as y*g + k*g**2 + s*g**4 + r*g**3 + q and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/21 - (-4)\/(76\/(-171)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 127 + 961*a - 1921*a + 947*a as r + w*a and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1094 - -1113. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-26))\/((-6)\/142). Let z = 2770\/429 + k. What is the common denominator of z and 6\/(-27) - (-699)\/108?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2. Let p(o) be the third derivative of 0*o**3 - 90*o**2 + 0 + 0*o + 1\/8*o**4 - 1\/12*o**5. What is p(a(x))?\nAnswer: -20*x**4 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*f + 5*k - 75, 0 = 2*f - 2*k - 26. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 5224, 3 in decreasing order.\nAnswer: 5224, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 12) to base 14.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 257081?\nAnswer: 257081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -15\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 17*i - 80. Let k be d(-21). Suppose 5*u = -3*g - k, 13*g - 5*u = 9*g + 18. Solve -14 = 4*b + f + 4, g*b + f + 8 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*u + 16. Which is smaller: u or -6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 4, -5, -13 in ascending order.\nAnswer: -13, -5, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 6:41 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 3 - 17 = 0. Suppose -207 + 197 = -o*t. Solve -4*s + 7 + 8 = t*v, -2*v + s = 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 7. Determine f(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + 192*y - 191. Let h be o(-97). Suppose 0*v + 14 = -4*x - 3*v, -2*v + 9 = -x. Put 5, 0, x, h in increasing order.\nAnswer: x, 0, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/7 + 110136*x\/7 + 20288844\/7.\nAnswer: -4*(x - 27717)*(x + 183)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8140713733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7577 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 15632?\nAnswer: -1\/15632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.47056 grams to kilograms.\nAnswer: 0.05647056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5218 = -140*h + 37517 + 50785. Calculate the least common multiple of h and 82.\nAnswer: 27388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + u = -38 + 15, -1 = 4*x - 5*u. Let r = x + 7. Solve k = -r*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r. Let q(p) = -390*p + 2. Determine q(t) - 8*u(t).\nAnswer: -398*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54012720653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1772583*q**3 + 951598*q.\nAnswer: 10635498*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2. Let j(z) be the first derivative of 2*z**3\/3 - 35*z**2 - 125. Calculate o(j(d)).\nAnswer: -8*d**4 + 560*d**3 - 9800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1239*u**4 + 981?\nAnswer: -4956*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2830 is divided by 281.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -12*l**3 - 6*l**2 - 4*l - 11. Let g(w) = 4*w**3 + 2*w**2 + w + 4. Determine -8*g(b) - 3*m(b).\nAnswer: 4*b**3 + 2*b**2 + 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1246419 is divided by 464?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 294 and 24?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 71680 divided by -160?\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 2\/9 (b) 0.4 (c) 0.04 (d) 5204\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {b: 4, o: 7, h: 5}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -15*k - 106. Let p(r) be the first derivative of -5*r**2\/2 - 38*r + 271. Let m(s) = 4*i(s) - 11*p(s). Determine m(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 5, k: 3, j: 2}. Give prob of sequence dd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 19. Is 9*1 - (5 + f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*r - 59 = 7*r, -2*o + 35 = -5*r. Suppose -2*d + o = -0*d + 4*v, 0 = 2*v. Solve -4*k - d = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, -34, -62, -90, -118?\n\"Answer: -28*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16729 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*s + 7. Suppose 2*h - 2*l + 2 = 0, -2*l - l = -12. Differentiate -s*z**4 + 0*z**4 + 3*z**4 + h with respect to z.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174394\/7 >= 24913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1369.2 + -1364.2. Put 0.1, 3, f, -12\/13 in descending order.\nAnswer: f, 3, 0.1, -12\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -45?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 12*l + 63. Give s(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 - 22*k**2 - 239*k - 232. Calculate i(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (169 - 86 - 84)\/(201\/6 + 3).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78824 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elrmbmheblemeelee. Give prob of picking 1 e, 1 l, and 1 h.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -652862 (base 14) to base 10.\nAnswer: -3426166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482*s - 242*s - 242*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -165*u**2 + 0*u + 0 - 2\/51*u**3 - 1\/510*u**5 - 1\/68*u**4. What is k in a(k) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(2\/15)\/f*f)*f**(3\/10)*f**(-7)\/((f*f*f**2\/f*f)\/f))**(-30) assuming f is positive.\nAnswer: f**295","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.15 + -0.1. Which is greater: 2\/9 or a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = f - 4*f. Let v = -2 + f. Solve -3 + 6*z + 7 - 2*z**3 + v = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmq when three letters picked without replacement from {n: 9, m: 1, h: 1, q: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 16019 - 32053 + 2*g**3 - 13*g + 16023 - g**2 as i*g**2 + k + b*g + p*g**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 8*a - 268 = -12*a + 236*f - 241*f, -5*a - 484 = -9*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 839282725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1326*v**4 + 12*v + 16.\nAnswer: 15912*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - d + 10 = 0, -17 = 191*q - 192*q + 10*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7aa (base 13) in base 8?\nAnswer: 2453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5395*19\nAnswer: 102505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/8 (b) -5 (c) 0.1 (d) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -869\/13 + 12123\/182. Find the common denominator of y and 17\/77.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1238296*g. Let a(j) = -5*j**2. Determine b(a(y)).\nAnswer: 6191480*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7720, 14902, 21500, 27514, 32944, 37790, 42052?\nAnswer: 45730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3350 - 3230. Suppose -45 = f - 4*f. What is the highest common factor of f and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/11)*f*(f**(-1\/4)*f)\/f)**33)**(4\/5) assuming f is positive.\nAnswer: f**(111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 532265629 to the nearest integer?\nAnswer: 23071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 m when four letters picked without replacement from {z: 1, k: 1, a: 1, m: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.29967 + 11.3. What is p rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12599 - -12595. Let v = -3.5 + 3. Which is the second smallest value? (a) 0 (b) v (c) f (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(16\/1))\/(99\/36)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 24 = 2*k - 5, -3*u - 43 = 5*k. Let b = 90 + u. List the prime factors of b.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 10*a**3 + 5*a**2 + 5*a + 5. Let l(o) = -5*o**3 - 2*o**2 - 2*o - 2. Let s = 71 + -73. Give s*w(y) - 5*l(y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**4\/3 - 2*d**2 - 7*d. Let z(q) = 3*q. What is z(c(i))?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*d**2 + 14*d**2 - 31*d**2)*(-1 + 1 - 3*d) + 3500 - 187*d**3 - 3500 to the form y + f*d**2 + a*d**3 + s*d and give a.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71.8 + -72. Sort -0.5, 0.5, -5, q in decreasing order.\nAnswer: 0.5, q, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 359*s - 273. Give k(-4).\nAnswer: -1709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 26 = -3*t, 6 = -4*t - 5*l - 27 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1365\/1755)\/((-532)\/(-17328))?\nAnswer: 76\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40033*u**3 - 22326?\nAnswer: 120099*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1184*k - 84260. Give x(71).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2 = r + 2*r, -r + 3*v - 1 = 0. Suppose -3*k - 4 = 2*n, 5*k + 2*n + r*n + 10 = 0. Solve -k*u - u = -9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54*(-44)\/(-4950))\/((-58)\/(-870)).\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/((-720)\/68) + (-8)\/(-10). Put -153, -5, f, 2, -3 in descending order.\nAnswer: f, 2, -3, -5, -153","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 1. Let q(s) be the second derivative of 5*s**4\/12 + 5*s**2\/2 + 9*s. What is -q(u) - 4*y(u)?\nAnswer: -u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885004328 to the power of 1\/2, to the nearest integer?\nAnswer: 43417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 40 = -4*o - o, 0 = -s - 3*o + 20. Let j(z) = 82*z - 8. Let i be j(s). Suppose -i = -k - t - 167, 5*k - 3659 = t. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/3, -2\/43, -4\/7, -2, -0.84, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 at least as big as 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 9905804?\nAnswer: 49529020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 + -123. Let u be 2\/(-4) - n\/12. Suppose -28 = -m - u*m. Solve -5*z + 13 = 4*x, -m = -x - x - 3*z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9)**(1\/3)\/(d**(-35)\/d**5) assuming d is positive.\nAnswer: d**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 5:24 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 63*k**2 + 123*k - 57. Let q be u(61). Solve w + 21 = 4*g, -3*w + q*g = -g + 28 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((2*(sqrt(76) + (2*sqrt(76) - sqrt(76))))\/(sqrt(16)\/(sqrt(4) + sqrt(100))))**2*2 + 1).\nAnswer: 109445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 129514274 divided by 2?\nAnswer: 64757137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 1:21 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - (-8 + 11)) + -4 + -9?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 0*i - 2*i)*(0*i - 4*i**2 + 0*i)*(-270*i**2 + 796*i**2 + 907*i**2).\nAnswer: -5732*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/130)\/(442\/85)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2450 and 2213666.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 4. Let j(i) = -i**3 - 4*i**2 - 7*i - 5. Let t be j(o). Let m = 34 - t. What is the remainder when 30 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c + 1. Let r be a(-2). Let w = r - -24. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996347 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -101*w - 36. What is the hundreds digit of v(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 875*d + 5277. Let g be q(-6). Sort 6, g, 0, 3 in decreasing order.\nAnswer: g, 6, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -172784073 and 2898.\nAnswer: -172781175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 n when four letters picked without replacement from {n: 7, z: 2, q: 4}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 24 = 6. Let i = d + -4. Suppose i + 0 = j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(270)\/(sqrt(10) - (sqrt(50)\/sqrt(5) - sqrt(10))) + -1 + (sqrt(243))**2 + sqrt(27).\nAnswer: 6*sqrt(3) + 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3898*r - 3908*r - 80 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 17*r**2 - 8077*r - 2. Let s(j) = -7*j**2 + 4038*j + 1. Determine 2*n(g) + 5*s(g).\nAnswer: -g**2 + 4036*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**5\/60 - j**4\/6 - j**2. Let d be l(-5). Let w(z) = 2*z**2 - z - 2. Is w(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -135, -140, -147, -156, -167?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5 + 1980*l**4 - 1179737*l**3 + 186412934*l**2 - 182883612*l - 370478264 = 0.\nAnswer: -1, 2, 247, 866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 9*r**3 + 18*r**2 - 32. Let z(t) = t**3 + t**2 + 3. Calculate -p(q) + 7*z(q).\nAnswer: -2*q**3 - 11*q**2 + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4553695306?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2747 + 2746.99995421. Round f to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3035454 - -0.1735455. Let x = 0.13 + d. What is x rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93241, 186479, 279717, 372955?\nAnswer: 466193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 37 + (0 - -1) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**4\/4 - 2*t**3 - 919*t**2. Let y = 2 - 7. Does 4 divide s(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84262, -95630, -106998, -118366?\nAnswer: -129734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1\/10, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1248 divided by -13.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -24. Let j = -6 - u. Solve -5*f + 18 - 5 = j*a, -f + 5 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 533 - 621?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 299 + -18. Let t = -129 + -67. Let w = t + u. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 888\/21 + 4\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 - -46. Let l = -1.6 - -15.6. Let s = l + m. Which is bigger: -2\/7 or s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1718 is divided by 85?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3 - 11. Calculate the remainder when 42 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -465537?\nAnswer: 465538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42757482 - 15262694. Suppose -o = -15905212 - x. What is o rounded to the nearest 1000000?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224327?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -42. Let d be (-2886)\/l + (-4)\/(-8). Let z = d - -351. What is z rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1202 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70300?\nAnswer: 2, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -280*w**2 + 80*w - 237. What is o(2)?\nAnswer: -1197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -44, -5, 221, 39, 2 in descending order.\nAnswer: 221, 39, 2, 0, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7893391 is divided by 33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 0*s**3 + 0 + 1\/3*s**4 + 0*s**2 + s. Let x(j) = -j. Let a(c) = -7*c. Let y(k) = -6*a(k) + 51*x(k). Calculate i(y(n)).\nAnswer: 324*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, i: 6}. Give prob of sequence didd.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -25*w - 1119. Let d be r(-45). Solve -122 = d*n - 128 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -2. What is the lowest common multiple of (-10)\/(-4)*3\/(15\/10) and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/360 and 181\/32760?\nAnswer: 32760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216051 is divided by 55273.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -69.303*3.68\nAnswer: -255.03504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42299784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42964613?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nndn when four letters picked without replacement from ndnnyyynn.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**6 + 151*k**5\/4 + 1105*k**4\/3 - 4225*k**3\/6 + k + 527. Factor t(s).\nAnswer: 5*s*(s + 13)**2*(6*s - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + n - 3*n = -48, -3*f + 129 = n. What is the greatest common divisor of f and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssaa when four letters picked without replacement from {s: 3, a: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/21*1*-1. Let i = 170 - 169.08. Let p = i + -0.42. Sort 16, p, y.\nAnswer: y, p, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65 and -5*(-20)\/25*10 + 5.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 11*u = -13*u, 4 = -3*b - 2*u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*v + v + 14, -2*v + 4 = 0. Sort 21, -4, o, 2 in ascending order.\nAnswer: -4, 2, o, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17565682.298 to the nearest one thousand.\nAnswer: -17566000","meta":{"dup_signals":{},"source":"numbers__round_number_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: Which is the closest to -2\/5? (a) 2\/7 (b) 5 (c) 3\/74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6007*h + 8910*h - 818*h as q*h + i and give q.\nAnswer: 14099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = -15. Let o be (1 - l\/(-9))*9. Let m = 0.2 + 0.3. Which is the smallest value? (a) m (b) o (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145430693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1824, 1790, 1756, 1722?\n\"Answer: -34*i + 1858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 133, 139, 147, 157, 169, 183?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/126, -0.2, 4\/3, 3\/2, -32, -0.064?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3770 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w**18\/w))**(-20) assuming w is positive.\nAnswer: w**320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/72 and -91\/79488?\nAnswer: 79488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 13088513?\nAnswer: -13088508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0557565 and 23144938.\nAnswer: 23144937.9442435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/1)\/((-75)\/(-18)))\/((-67)\/670).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5599 - -5620. Solve -t = 5*h + 3 - k, -3*h - 4*t = -4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 6:56 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 26062?\nAnswer: 26055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.881392 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8127 and 602.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-3 - -2) - 1 - (-22 + 20).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-3))\/((-4)\/(-24)*3). Let q(v) = -v**2 - 5 + v**3 + 3*v**2 - 7*v**2 + 10*v. Is q(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhr when three letters picked without replacement from hrhhhhrhhh?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q = 16*q - 0*q - 442 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -6)*(3 - 2). Suppose g = 3*v - 3. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 13\/5 + 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 817194361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5956 + -5465. Suppose -p = -5*t + 126, 131 = 4*t + 4*p + 11. What is the remainder when d is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d (base 16) in base 15?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, 4\/3, 0.4 in ascending order.\nAnswer: 1\/13, 0.4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173123 + 1009*r + 173123)*(4 + 2*r**2 - 4) + (r - r - r)*(r**2 - 5*r**2 + 2*r**2).\nAnswer: 2020*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3741 - -3746. Solve -3*c - 10 = -g*n + 4, 5*n = -c + 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1465d + 2f4?\nAnswer: -14369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 2, i: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2917495577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -14*f - 23. Let p be o(-8). Let i be p - (-6)\/((-6)\/(-2)). Suppose -8 + 12 = 4*u, -k + i = 5*u. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3*u - 2*u - 2)*(3463*u**4 + 1500*u**4 - 598*u**4).\nAnswer: 4365*u**5 + 13095*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2825934369.\nAnswer: 3, 941978123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -6.984. What is w rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, k: 10, m: 2, t: 4}. Give prob of picking 1 v, 1 k, and 2 t.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 558.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 519, 535, 549, 561, 571, 579?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 21. Let l = 367 + -391. Let t be q(l). Solve 0 = 4*z - 12, t*h = -0*h - 2*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87838\/35 - 2511. Let y = 8\/7 + p. Which is the second smallest value? (a) 0.1 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-138)\/12 - 2\/12*(11 - 20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + 0*h**2 - 5*h**2 + 57*h**3.\nAnswer: 57*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337.9997 days to nanoseconds.\nAnswer: 29203174080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -1)*(-4)\/(-6). Let n be -1*(-2 + (-20)\/f). What is the closest to 2\/9 in n, 5\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288656743.5 rounded to the nearest 100000?\nAnswer: 288700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - (89 + (-67 - -14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-14) - (-6817)\/4284 and 89\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 4106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 718\/3 or 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 495, 507, 507, 489, 447, 375?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1271072, 1271074, 1271076, 1271078, 1271080?\nAnswer: 1271082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1148186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*362002.\nAnswer: 3982022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 125085431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 4 - 5 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -21\/11, 72, 1\/4, -28, -3?\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -545 plus -0.02?\nAnswer: -545.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 743\/(-10)*-2 + (-34)\/(-85). Suppose -5*z + m = -626. Calculate the greatest common divisor of 62 and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 6*v + 13. Let m be k(4). Suppose -3450 = -5*x - 3*o, m*x + 5*o - 1393 = 2057. Is 30 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-4))\/(-4)*-1. Let w = q + 4. Calculate the smallest common multiple of 1 and w - 5 - (1 - 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4082489461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 805026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*q**2 - 44*q**2 - 5*q**2 to k*q + r + a*q**2 and give a.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2164, -9737, -22408, -40177?\n\"Answer: -2549*x**2 + 74*x + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**6\/90 - n**4\/18 + n**2\/6 + 6*n. Suppose w(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -2\/15 (b) -5 (c) 5 (d) -2 (e) -1123\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 4:54 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 + 60*j**3 - j**4 - 61*j**3 + 1 - j**2 + 2*j**2 as h*j + t + s*j**2 + r*j**4 + x*j**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1658 - -6080. What is the smallest common multiple of t and 14?\nAnswer: 30954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244771?\nAnswer: 151, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -224*h - 96. Give n(0).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6327 at most as big as -6326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36904 = 7*l + 7301. Let r = 1328 + l. Is 4 + r\/17 + 42\/357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26.44843l?\nAnswer: 26448.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - -46531?\nAnswer: 4653c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(2240)*-1*-5*6)\/((sqrt(180) + 1*sqrt(180))*-3 + sqrt(180) + sqrt(180)))**2.\nAnswer: 40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*j = -40, -3*b + j - 8 = -3*j. Let c be b\/(-14) + 72\/(-42). Let q be (-30)\/(-4) + c\/(-4). What is the highest common divisor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*j**2\/9 - 565022*j\/9 + 141256\/9.\nAnswer: -2*(j + 70628)*(4*j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -379.353091 plus 1.13?\nAnswer: -378.223091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 3. Let g = -3 + b. Solve g*c = -3*a + 11 - 4, 0 = c + a - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1443, 11580, 39093, 92670, 180999, 312768, 496665?\nAnswer: 741378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 2*s = -7, 0 = -3*a + 4*s - 1053 + 1052 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + c = -107, -2*c - 2*c - 120 = -5*g. Suppose 0 = -g*h + 25*h + 12171. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2. Let g(y) = 2*y - 222. Determine g(k(o)).\nAnswer: 2*o**2 - 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 (base 4) in base 13?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 6:46 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = 4*p + 40, -j + 40 = 4*p. Let w(t) = -t + 21. Let l be w(j). Let y = 10 + -8. What is the closest to l in y, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -1 + 90\/(-42). Let h = 1363 + -1362. Put h, a, 2, 0.2 in decreasing order.\nAnswer: 2, h, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - i - 55 = -2*i, -i = -4*h + 71. Let a = -72 + 76. Suppose 5*n + 62 = a*w, -5*n + 54 = 2*w + 8. Is w at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2\/3, -3\/20?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541228 is divided by 849.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q + 3. Let b(v) = 7*v + 2. Let g(x) = 5*b(x) - 6*w(x). Let c be g(-9). What is the units digit of -3 - 24\/(0 - c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b6 (base 15) to base 14.\nAnswer: c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stmg when four letters picked without replacement from tmtsmtmmtstmvtmmmtg.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from ymafffyyymfyy?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (8 + -2)\/((-3)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from skybsvy?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28021\/513 + -131\/27. Let t = a - -13181\/190. Calculate the common denominator of t and -65\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1210))\/((sqrt(30)\/sqrt(3))\/sqrt(2)).\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.4 times -0.09?\nAnswer: -7.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -17775760 <= -17775762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -444203731 and -1395.89?\nAnswer: 444202335.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*z - 50*z = -52. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 3*u - 17 = 0, 3*g - 8 = 4*u + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-2)*((9 - 7) + -2). Solve -4*a - a - 40 = 5*f, g = 5*a - f + 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2280 and 144?\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 0.7, 2\/19.\nAnswer: -2, 2\/19, 0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -614*f + 135086. Determine n(220).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3037 - -24327\/8. Let y = 680671\/28 - 24306. Calculate the common denominator of a and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16984 and 46597727?\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 374 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*q - 0*p - 29, 3*p = -4*q + 55. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -12, 0, 1, 140 in ascending order.\nAnswer: -12, -2, 0, 1, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22766.\nAnswer: 2, 11383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -19 - -6101.1303\nAnswer: 6082.1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1001 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26\/3 + 185\/21. What is the nearest to -0.2 in 3, o, -0.6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44371\/60 + -739. What is the common denominator of i and -49\/130?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1653 times 52.9?\nAnswer: -87443.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1918 = 378*f - 728 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 = 59*u + 99 - 74 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -13331?\nAnswer: 2666.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 12:20 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmip when four letters picked without replacement from pjjmejeipjjeeej.\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 23715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34240 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2*sqrt(242))**2 - sqrt(98)*-1*6) + 1 + 5.\nAnswer: 42*sqrt(2) + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-25)\/50*(-46)\/(-7)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*m - 9 + 6 + 42*m - 116*m + 7 as n*m + f and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 42\/5 of a millennium?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.6, 3, 3\/5, -74?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 22 + 3 - 2*w)*((0*w**2 + 4*w**2 - 6*w**2)*(-2*w + 5*w - 2*w) - 1 + 1 - w**3 + (-w - 2*w + w)*(w**2 - 3*w**2 + 3*w**2)).\nAnswer: 10*w**4 + 250*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -6476 greater than -6478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.013 + -0.013. Let u = -0.8 + 0.2. Let m = u - -0.5. Which is the nearest to m? (a) j (b) -0.4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -8*u**3 + 4*u**2 + 4*u. Let m(r) = 7*r**3 - 4*r**2 - 3*r. Give 6*m(g) + 5*s(g).\nAnswer: 2*g**3 - 4*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4614 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 141911387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s = 40. What are the prime factors of 6\/48 + (-223)\/s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 11:42 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17893870*p**3 - 110739693 wrt p.\nAnswer: 53681610*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 0*r**5 + 7\/24*r**6 - 29\/24*r**4 + 0*r + 0*r**3 + 36*r**2 + 0. What is the second derivative of o(z) wrt z?\nAnswer: 210*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 121562, 486180, 1093870, 1944626, 3038442, 4375312, 5955230, 7778190?\n\"Answer: -p**3 + 121542*p**2 - p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/543020 and -69\/40.\nAnswer: 1086040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -674 smaller than -426\/403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 14*z + 12. Suppose 30 = -3*m + s - 8, -1 = s. Let t be x(m). Let y be (8 - 1) + 2\/t. Solve 2*u + 9 = y*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-112)\/70*(-10)\/4. Suppose l*k + 5*t - 2855 = 0, 2*k - 5*k + 4*t + 2149 = 0. What is the greatest common divisor of 65 and k?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1926.12 * 4.\nAnswer: 7704.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13901786, 13901785, 13901784, 13901783?\nAnswer: 13901782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**2\/2 - 1076. Let b(o) be the second derivative of -7*o**3\/6 + 21*o. Calculate b(q(f)).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 4*t**2 - 4*t**2 - 46*t + 42*t.\nAnswer: -2*t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, q: 5, t: 4}. What is prob of picking 1 q and 2 d?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 45*n**2 - 81*n**2 + 41*n**2 + n. Calculate x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k. Suppose 10*b = 12*b - 12. Suppose 2*a - b*a - 13 = -o, -2*o = -a - 12. Is o at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k. Suppose -20 = -3*n + 88. Suppose -3*x = -n + 24. Let w(p) = 0*p**2 - 8*p**2 + 5*p**2 - x*p**2. Give w(v(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 843*y**3 + 738*y**3 - 85*y - 108*y + 6*y. Let f(z) = -17*z**3 + 2*z. Determine -187*f(v) - 2*o(v).\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 6*b**2 - 59*b - 18. Let x be f(-5). Solve 0 = j - h + x, -22*h + 26*h - 6 = 5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1327, 2584, 3841, 5098?\n\"Answer: 1257*v + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r + 90. Let x be q(-10). What is the third biggest value in -1\/20, 3, x?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407*k - 12*k**2 + 407*k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**5\/30 + 13*p**2. Let s(q) = 7*q. Calculate z(s(a)).\nAnswer: -98*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y. Suppose -3*i - 1 = -7. Let t(f) = -i*f - f - f. Give j(t(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1184 + 2084. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 52\/5 of a millennium?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -5*q - 20, -16066*n + 21*q = -16070*n - 101 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 - 984 + 59*h - h**2 - 61*h - 5406 in the form l*h + d*h**3 + p*h**2 + f and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/11 + 11808248*g**2\/11 - 17429340103688*g\/11.\nAnswer: -2*g*(g - 2952062)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0, 1, -1461, 12, -40 in decreasing order.\nAnswer: 12, 1, 0, -15, -40, -1461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3\/3 - 812126*y**2\/3 - 4060651*y\/3 - 3248524\/3 = 0.\nAnswer: -4, -1, 812131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgxdcfxgf. Give prob of picking 1 r, 1 c, and 2 f.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/6 + -2 + (-55)\/(-15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 9*u - 7*u - 44, -2*u + 80 = 4*q. Suppose 6*m - 3*m - 189 = 0. Calculate the highest common divisor of q and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0084147 to 4 decimal places.\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 - 28*o - 84)*(-o**2 - o + o) + 4*o + 4*o**3 - 4*o + (-2*o - 2*o**2 + 2*o)*(-2*o - 1 + 1) - o**3 - 2*o**2 + 2*o**2 + 4 - 4 - 2*o**3.\nAnswer: 33*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8243b (base 14) to base 7\nAnswer: 2444304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6944137718455 - 3?\nAnswer: -6944137718458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iawz when four letters picked without replacement from izazzjzjwjijjzjjz?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 17*c + 5 = x, 0 = c + 4*x - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/93*1923\/(-2564)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 2*l**3\/5 - l**2\/5 - 4*l\/5 - 5. Factor a(k).\nAnswer: 2*(k - 1)*(3*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*o = -102, 5*o + 123 = 5*c - c. Let v = c - 22. Suppose -v*p = d - 74, 5*p - 6*p = 3*d - 180. What are the prime factors of d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.82 + 3.82. Which is the closest to -2? (a) -2\/37 (b) s (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 632233*j + 97. Let t be d(-9). What is t rounded to the nearest 100000?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -658754, -1317513, -1976274, -2635037, -3293802, -3952569?\nAnswer: -4611338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 119, 120, 121, 122, 123, 124?\n\"Answer: f + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/29 + 1323080\/7192. Let y be (-1 - -5)\/(1\/2). What is the highest common factor of z and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 299 - 91 = 2*j, -104 = -j + 4*s. Calculate the remainder when j is divided by 33.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 17163877.\nAnswer: 2\/17163877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/(-35))\/(1\/(-5)) - -8. Which is greater: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 8*s**2 + 2*s - 6. What is c(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 376 and 10763.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 32 = 11*b. Let v = 144 + -104. Calculate the greatest common factor of v and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 5*p + 253. List the prime factors of (196 - (-1 - -1)) + 62 + p.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1839543615.\nAnswer: 3, 5, 7, 13, 19, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-14)\/3*1224\/(-119)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 + 6*c**3 - 3*c**3 - 9*c**3 with respect to c.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75 + (-37 - 19) + 54\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + 3 + sqrt(1584))*6 + -3*(-3 + sqrt(1584)) + (sqrt(1584) + sqrt(1584)*2 + 4)*-5 + 4)**2.\nAnswer: -1584*sqrt(11) + 57145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 5*w + 25 = 0, 2*t + 4*w - 10 = -0*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5261\/7 - 753. Let u = -12.2 - -12.3. Which is smaller: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 7*t**2 + 9*t + 2. Let x(d) = 3*d**3 - 21*d**2 + 27*d + 7. Let j(c) = 7*l(c) - 2*x(c). Determine j(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) 13\/42 (c) 0.7 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 - -11?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 - 95. Let h = 24 + d. Factor 2*z**3 - 3*z**2 - 2*z**2 + 3*z**h.\nAnswer: 5*z**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12709185 divided by 5?\nAnswer: -2541837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7\/9 (b) -13 (c) 4663 (d) -1\/6 (e) -2 (f) -0.3 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 906129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**2*l + 270*i**2*o + 5*i*l*o - 2*i*l - l*o + 2*l wrt i?\nAnswer: -2*l + 540*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 91704 divided by -2\nAnswer: -45852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 32*g**2 + 4. Let k be s(32). Solve -2*z - 4*h = -k, -h = 5*z + 2 - 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -310*p + 64. Let y be u(-6). Suppose -71*b = -67*b - y. Does 21 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) -2\/7 (c) 3 (d) 48\/49 (e) -1\/9 (f) 59\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*y + 14 = 4*y, -4*y = 5*z - 30. Is ((-53)\/z)\/((-3)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2498.97 - 2499. Put -14, -1\/2, u in increasing order.\nAnswer: -14, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 427274.1 centuries?\nAnswer: 4272741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*l - 10722 - 6747 = 2261 - 5804 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237973 is divided by 369.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 5*o + 5. Let j(a) = a**3 + 5*a**2 - 4. Let u be j(-5). Let b be z(u). Solve -4 = m - b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 274685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - -6*3\/(-6). Let a(s) = -4*s**2 + s. Let r be a(b). Let h = -2 - r. Solve -8 = -u - h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0049842666 rounded to four decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 271443 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -31052*r. Let t(i) = 146*i. Determine w(t(f)).\nAnswer: -4533592*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from wsswsssss.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004719800732 rounded to 5 dps?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/96 and -45\/1507376.\nAnswer: 9044256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-4 + 2)) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -22\/3 and -1871653 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1432\/(-537) - (-29)\/3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 83*o**3 - 6*o**2 - 16*o + 4. Let c(h) = h**3 - h**2 - 3*h + 1. Calculate 6*c(k) - r(k).\nAnswer: -77*k**3 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(1 + 33\/(-39)). Let j = -0.3357 - -1.3357. What is the third biggest value in j, t, -7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, -1, 0.12, -3\/2.\nAnswer: -2, -3\/2, -1, -0.1, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*3\/3 - -22. Solve 2*d - 11 = -h, 2*d - h = 7*d - c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111100 + -1100001111010000001?\nAnswer: -1100001111000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*m - 3. Suppose -97 = 41*g - 302. Is g less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 594 + 14*f**2 - 594 - 2*f**3 + 16*f wrt f?\nAnswer: -12*f + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.11 + -4.1108355. What is c rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(4\/(-6)) + (23 + -8 - -7)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8926.\nAnswer: 2, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a - 14. Let i be l(9). Solve 0 = i*h - 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, 1\/11, -85, -4, 2\/5 in decreasing order.\nAnswer: 2, 2\/5, 1\/11, -4, -9, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:33 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -0*j - 6*j. Let s(u) = -u**2 - 9*u + 2. Let a be s(j). Solve 4*m = -4*n + a*n, 0 = 2*m - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -7. Let b = 37987 + -37984. Let a(s) = 7*s**2 - 3. Let x(h) = 20*h**2 - 8. Determine b*x(y) + f*a(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 6:12 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737626283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -47. Suppose -2*z - 4*a = 4, -n*a + 1 - 5 = -4*z. Which is bigger: 3\/4 or z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w = -64. Let t(o) = 2*o**2 - 3*o - 3. Let b(i) = 10*i**2 - 16*i - 16. What is w*t(r) + 3*b(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - m = -5, -16 = -j + 2*m - 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2327580.\nAnswer: 2, 3, 5, 67, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -77*m**3\/3 + 2*m - 300. Let j(f) = -9*f. Calculate 84*j(y) - 5*u(y).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*u + 172*u - 354*u**2 - 56*u.\nAnswer: -354*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 282351 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 1, 2 in descending order.\nAnswer: 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) -3 (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - 6446*x + 472255. What is j(75)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 2165 = 2165 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2021.27574 to the nearest integer.\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 20, -u - 4*m - 9 = 13. Let v(f) = -f - 10*f + 6*f - 366*f**3 + 4*f + 1 + 2*f**2. Is v(u) 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 139136734, 556546927, 1252230582, 2226187699, 3478418278, 5008922319, 6817699822?\nAnswer: 8904750787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.5 - -12.6. Which is the nearest to -1\/2? (a) -7\/3 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4\/9 + 5188*r**3\/9 + 3364418*r**2\/9 = 0.\nAnswer: -1297, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 669624 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 14 = -14. Let c = j + -10. Solve -c*k - 4 = -4*m - 40, -4*m = k + 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**4\/5 + 168*c**3\/5 + 4892*c**2\/5 + 57288*c\/5 + 232562\/5 = 0.\nAnswer: -31, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + -112. Is (n - 1)*145\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (81\/(-594))\/(2*(-9)\/24)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -80, -144, -180, -182, -144, -60, 76, 270?\n\"Answer: b**3 + 8*b**2 - 95*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**3 - 9*r**2 - 8*r**3 + 15*r**3 + 340*r**2.\nAnswer: -2*r**3 + 331*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 7 + 3. Let s be (-6)\/(-2) + 0 + -5. What is the units digit of (-12)\/(-3) + (s - l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 50 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31550171 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -4, -16, 24, -10, -1550 in ascending order.\nAnswer: -1550, -16, -10, -4, 1, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*d + 311, -3*d + 173 = 3*s - 2*d. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -161, 401, 963, 1525?\n\"Answer: 562*p - 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 35 + 2*c**2 + 28 + 5*c - 66. Let u be t(1). Solve -3*o + u*v + 15 + 14 = 0, 5*o + v = 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 3)*(-6)\/15. Suppose -4*z = z + h + 742, b*z - 3*h + 290 = 0. Round z to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12232190 divided by -2446438.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1364 is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -442.56 take away 206.014483?\nAnswer: -648.574483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 312*u**2 + u + 1. Let x(h) = -196*h. Give r(x(j)).\nAnswer: 11985792*j**2 - 196*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2, 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-11 - 8 - -14) + (289 - 0) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4995 and 41331627.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.01, 6, 2\/9, 2, 0.1, -9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*l + 0*l = 59*l - 78 + 3327 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 34.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*q**4 - 40\/3*q - 50\/3*q**3 + 85\/3*q**2 + 0.\nAnswer: 5*q*(q - 8)*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/((-42)\/294)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420163334?\nAnswer: 2, 210081667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5 + 20*f + 9 - 411*f**2 + 2 + f**3 + 392*f**2 + 1. What is h(18)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1982266 and 4785.\nAnswer: 1987051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.3824 - -2.4. Let k = 10.7776 - w. Let i = k - 11. What is i rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-12\/5)*w**(-3)*w**(5\/6)*w**21*w assuming w is positive.\nAnswer: w**(523\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 3*t - 8716, 3*t - 4529 = 5*h - 15424. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 261102 + 349129. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4 + 3) - (38 - 47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15547, -13967, -11327, -7621, -2843?\nAnswer: 3013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-376)\/(-6)*142794\/4101361\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 4 (b) 2\/7 (c) -1\/3 (d) 0.3 (e) -11 (f) 8\/211 (g) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 - 50. Solve -2*m - 16 = r*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**4\/2 - 12*t**3 - 4629*t**2\/2 + 16365*t - 23400 = 0?\nAnswer: -39, 2, 5, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 8*f**2 + 3*f - 4. Give q(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.024 and 1028.\nAnswer: 2080.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 + 0*u**4 + 0*u**4)*(7837*u - 2757*u - 3244*u).\nAnswer: -3672*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*b + b = 0, -5*n - b + 22 = 0. Solve -12 + 4 = 5*o - n*z, 0 = 3*z + 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 222 and 1254?\nAnswer: 46398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, h: 7}. What is prob of sequence nnn?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 8) to base 4\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/6510 and -119\/6912.\nAnswer: 7499520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -0.1, 0.2, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*r + 908 - 919 = -4205 - 1214 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 23*z**2 + 3*z + 2. Let l(i) = -4*i**3 - 116*i**2 - 14*i - 10. What is 14*g(h) + 3*l(h)?\nAnswer: 2*h**3 - 26*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 3:54 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - v)*(442*v + 12 - 215*v - 222*v) + 1 - 4*v**2 - 1 as j*v**2 + a + i*v and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7579795 is divided by 3100.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m + 5. Let w(y) = -13*y + 10. Let p(o) = 5*d(o) - 2*w(o). Let v(i) = -7*i + 9. Calculate 5*p(q) - 3*v(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*u - 2945 - 2625 = 0, -3714 = -2*c - 2*u. Let h = c + -954. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 0)*-1*1. Suppose y = -k + 2*k - 13. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134814 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 494 + -466. Suppose -5*j + 3*s = -50, 2*j = 3*j + 4*s - 10. What is the lowest common multiple of j and o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -43.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 125 - 21. Suppose -17*t + 4*t = -c. Calculate the greatest common factor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37.2 + -163. Let z = 147 + x. What is z rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 3*q**2 + 1. Let m(k) = -k**3 + 11*k**2 + 8*k - 19. Let t be m(11). Let a = 72 - t. Determine w(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46921 (base 11) to base 7\nAnswer: -401160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {i: 1, r: 1, n: 2, k: 1, a: 2, p: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -121. Let w(j) = 4*j**2 - 3*j + 4. Calculate the remainder when w(-3) is divided by 91\/2*u\/(-161).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**5 - 32*x**4 - 216*x**3 + 272*x**2 + 212*x - 240 = 0. What is x?\nAnswer: -5, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181 - 171. Let c(r) = -v*r + 2*r - r**2 - 1 + 0*r + 5. Calculate c(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**5\/20 + 19*s**4\/12 - 5*s**3\/3 - s**2\/2 - 59*s. What is the tens digit of y(-19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 258 + -462. Let k = -204.096 - j. Which is bigger: -0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 0 - -8 - (1 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16307205 is divided by 4076797.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 0 - 4*z - 2 + 7 + 5*z. Let s(b) = b + 6. Let k(o) = 5*s(o) - 6*u(o). Let m(q) = -3*q - 20. Determine k(m(f)).\nAnswer: 3*f + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/10 of a decade?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/22 - 27\/33. Let a be ((-63657)\/704)\/9 + 10. Which is greater: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 300, 679, 1210, 1893?\nAnswer: 2728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -391 divided by -17?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.8314 kilograms to nanograms.\nAnswer: 40831400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/8*-2*15\/45. Which is the fourth smallest value? (a) -3 (b) 1 (c) -14 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(325))*2)**2*-6.\nAnswer: -7896 - 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*a**3 - 5*a**2 + 4867*a?\nAnswer: 186*a - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 + 0.62. Let j = -0.28 - x. Which is the smallest value? (a) -5 (b) 0.5 (c) -0.1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1231, -1474, -2121, -3382, -5467, -8586?\nAnswer: -12949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29204279429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 45 = z - 16, -x = -5*z - 41. What is the units digit of z\/2*(-4)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.043 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 136 - 2?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (128\/(-22) - -8*5\/(-220))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -239327*m + 6. Let u be v(3). Is 2\/7 + (u\/(-35))\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30012\/(-6314) + 480\/105\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.965 to 1 dp.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 150304*m**3*s**3 - 119*m**3*s - 3*m**3 - 59*m**2 - 4*m*s**5 + 2*m*s + s**3 + 9*s**2 wrt s?\nAnswer: 901824*m**3 - 240*m*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-34928)\/64)\/(4\/16). Let a = c - -3390. List the prime factors of a.\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 1 - p.\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 13, w: 1, e: 3}. What is prob of sequence eewe?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 1 - 1)*(-79*a + 28*a - 26*a).\nAnswer: -231*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 10 + 118. Suppose 18581 = -t*p + 76845. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*q + 13 = 0, 0*q = 5*x + 3*q + 7. Let l be (x + 1\/(-2))*4. Let u = 202\/39 - 16\/3. Which is the closest to l? (a) u (b) 2 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1078\/(-15) - (-12)\/18. Let n = -71 - i. Which is the nearest to -1? (a) n (b) 3 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qee when three letters picked without replacement from {q: 5, e: 11}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 59454.2968 to the nearest one hundred.\nAnswer: 59500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47173.\nAnswer: 7, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-6)\/(q**(1\/3)*q)*(q**(2\/3))**15*(q**(3\/2)\/q**(-2\/13))**(1\/53) assuming q is positive.\nAnswer: q**(11153\/4134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 136.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 2*o - 3*g + 15, 0 = -o + 4*g - 1. Suppose 55*t - 50*t = 10. Solve -t*m + 15 = o*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 304*x**2 - 29*x + 618*x**2 - 19*x + 3*x**3 - 315*x**2 to s*x + v + k*x**3 + b*x**2 and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4637, -9275, -13913, -18551, -23189?\n\"Answer: -4638*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*w, 60*h - 57*h + 2*w - 25 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 20*v + 4. Let d be s(20). Solve 2*h = -4*x + 12, -h - d*h + 2 = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**4\/2 - 4*j**3\/3 + 2*j**2 - 2*j + 5. Let f be a(2). Let b = 8 - f. Solve -2*u = u + b*x - 23, -4*u + 24 = x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7 = 5*i + w, -2 = -2*w. Suppose -7*d + 222 = 187. Put 8, i, d in decreasing order.\nAnswer: 8, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-104)\/65)\/((-4)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**2 - i**2 - i**2. Let n(k) = 3*k**2. Let o(f) = 2*f. Let d be o(-2). Let m(t) = t**2. Let s(a) = d*m(a) + 2*n(a). Calculate w(s(x)).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 157 + 5?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**2 - 1. Let o be (-1 - 0)\/(4 + -3). Let y be q(o). Let m be 11\/2 - (-1)\/(-2). Solve -m*p - y - 20 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10923 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10299.\nAnswer: 3, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/497525 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 14*j + 4. Let n(b) = b. Calculate 12*n(g) - u(g).\nAnswer: -2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -87154000 rounded to the nearest 1000000?\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39610 and 182206?\nAnswer: 911030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 190013200 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9011\/11 + 819. What is the nearest to 2 in -0.2, m, -2\/3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 21270 = 2*j - 2*l, -4*j = 4*l - 42540. Suppose 0 = 149*c - 164*c + j. What are the prime factors of c?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/77 - (-3328)\/10560. Determine p so that 22\/15*p**2 + 8 - 112\/15*p + k*p**3 = 0.\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, 29, 0, 4\/5, 0.4?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 9 + -27 - -15 - (-1 + -9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21578 is divided by 82.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -39, -s - 5*d + 1 = -5 - 19 - 45 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -35. Let q = -4 + 1. Let m = q + d. Solve 5*a = -4*b + 41, 0 = -0*b + 3*b + a - m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 27384 and 259 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*l**2 - 7*l + 26*l**2 - 561*l**2 + 7*l.\nAnswer: -903*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3674 - 18369\/5. What is the second smallest value in c, 0.1, -10, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80.69589 - -80.67. What is j rounded to three decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 5 - 5)*(5*o + 0*o - 3*o)*(-o**2 - o**2 + o**2).\nAnswer: -6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -110. Calculate the least common multiple of 660 and u.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158 - 151. Suppose 0 = -0*l - r*l. Which is the nearest to 0.1? (a) -6 (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77093.07 rounded to the nearest 10?\nAnswer: 77090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeddeeeeedee. What is prob of picking 2 d?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (3 - 2) - (-6 + -1). Suppose -8*i = -7*i - d. Let c be (-9)\/12 - (i - (-94)\/(-8)). Solve 4*r + 3 = c*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.2835 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s = 0. Round s to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-153) - (-40)\/504.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(2*(-3)\/(-24)). Let b be o\/3*(-9)\/(-2). Let d be b\/30 - (-17)\/(-5). Sort d, 1, -4 in ascending order.\nAnswer: -4, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - p**2 + 2. Let v be l(0). Find the third derivative of 3*y**4 + 3*y**v + 0*y**2 + 0*y**2 wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7.3, -38, -4212?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - m + 41, -2*k + m - 38 = -3*m. Let v(p) = 812*p + 8. Let b be v(k). Round b to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6520895 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 989, 1978, 2967, 3956?\n\"Answer: 989*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662095 is divided by 4941.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*p**3 - 444*p**2 + 0 + 19*p**3 + 483*p**2 + 1 wrt p.\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(320)*-1) + (((sqrt(5) - (-2 + sqrt(125))) + sqrt(5) - sqrt(5)) + sqrt(5))*-6)**2.\nAnswer: -429*sqrt(5) + 111461\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - k**2 + 1. Let d(n) = n**2 - 3*n + 2. Let b be d(3). Let y(t) = 3*t**3 + 2*t + 5*t**2 + 4*t**b - 4 - t - 5*t**2. Give 4*w(z) + y(z).\nAnswer: -z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 3:05 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16775607 and 356170.\nAnswer: 167756070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17329.6 millilitres in litres?\nAnswer: 17.3296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from {m: 1, n: 1, i: 2, k: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 12. Let y be p(-10). Let h be (-4)\/35*(-10 + 0). Factor -2\/7*k**5 + 0 - 2\/7*k - 12\/7*k**3 + 8\/7*k**y + h*k**4.\nAnswer: -2*k*(k - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 215 + (-2)\/(12\/(-6)). Suppose -3*q + x = -12*q. Let l = q - -33. Calculate the least common multiple of 7 and l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = -12 + 108. Let a be 344\/490 + -1 + o\/40. Is a at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 11) in base 16?\nAnswer: 4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d**3*r**5 + 2*d**3 - 2*d*r**4 - 45*d*r**3 + 27*d*r**2 + 2*r**2 wrt r?\nAnswer: 360*d**3*r**2 - 48*d*r - 270*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.7296938um?\nAnswer: 0.0007296938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 825, 823, 821?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4\/2 - 135*s**3\/2 + 65*s**2.\nAnswer: 5*s**2*(s - 26)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.4. Let v = -0.062 + -3.938. Let a = 170 + -511\/3. What is the nearest to v in l, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 + 8dc3c?\nAnswer: 8dc4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, b: 7}. What is prob of sequence bfb?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 121*t**3 + 11*t**2 - 16*t - 4. What is the hundreds digit of r(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -42 - (-18 - (-132)\/4). Let q(r) = -r**2 + 4*r + 3. Let y be q(-6). Is y less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5540\/408 - 7) + 200\/(-30)?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 0 - -1 - (-6 - (7 + 27103 - 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109605 a multiple of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 673706333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighteen fifths of a hour?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -3731.2?\nAnswer: -3731.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 22*c - 17*c + 11, -5*c = 5*n - 205. Calculate the remainder when 1789 is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 4. Let z be d(2). Suppose z = 5*b - 15, 4*y - 286 = -3*b + 179. What are the prime factors of y?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 12*t = -350. What is the remainder when t is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-28) - (-876)\/21. Suppose d + t - 191 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33267 - 8*k**3 + 33267.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 235851 rounded to the nearest 1000?\nAnswer: 236000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009439396 rounded to six dps?\nAnswer: -0.009439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 236277?\nAnswer: 2599047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4374\/(-39) - (-182)\/1183. Is -1 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -m + 25. Suppose -m - 3 = -r. Solve 0 = u + u + r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10134, -10136, -10138?\n\"Answer: -2*t - 10132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9736 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 1397 and -515.\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 - (-3 + -14 + 15 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26188 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -4*h + 20, 2*j = -3*h + 12 - 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 8*r**2 + 14*r + 32. Let v be u(8). Suppose v*k = 138*k + 5598. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*b - 8 = 0, -4*x = -3*b + 7*b - 28. Suppose 12 = x*z - 60. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 71, -3\/8, 5.\nAnswer: -3\/8, 0, 4, 5, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Let v(g) be the second derivative of -2*g**4\/3 - 11*g**3\/6 - 90*g. Give v(u(o)).\nAnswer: -8*o**2 + 11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 87.3.\nAnswer: -174.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 782, 1671, 2926, 4553, 6558, 8947, 11726?\nAnswer: 14901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -119 + 118 - 5*n**2 - n**2. Suppose 15 = 4*y - 1. Let o(p) = -5*p**2 + p - 1. Let q(s) = y*r(s) - 5*o(s). Give q(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/50)\/(-2))\/(72792\/80880)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 - 17*g**2 - 22*g + 35. What are the prime factors of o(-13)?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-2) - 3 - 3. Let d be 0\/((-6 - -2) + o). Suppose d = 5*u + 4*z - 14, -z + 2 = z. Solve -1 = -v, -5 = -4*w - u*v - 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-1)\/2*(-56)\/(-140)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/11))**10)**(3\/28) assuming p is positive.\nAnswer: p**(195\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5485, 5520, 5555, 5590, 5625?\n\"Answer: 35*n + 5450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4029*191.6\nAnswer: -77.19564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, p: 3}. What is prob of picking 2 z and 1 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5. Let c = -13 - -9. Let a be (1\/2)\/((-2)\/4). What is the nearest to a in q, c, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35789384 and 1576.\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**2 + 2*y + 151*y**3 + 5*y**2 - 20*y**2.\nAnswer: 151*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6476340*a. Let d(n) = n. Calculate l(d(h)).\nAnswer: 6476340*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6432162 to the nearest integer?\nAnswer: 2536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 12*f**2 + 1. Let r be p(2). Let l = r + 10. What are the prime factors of l?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = h + m, h + 5*m + 13 = 0. Suppose -h*z = z + 15. Round z to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4615693 = -189*u + 3466514. List the prime factors of u.\nAnswer: 7, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - -0.8. Let y = 0.952 - o. Round y to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**8\/10080 + 21*o**5\/10 - 35*o**2 + 2*o. Let b(w) be the third derivative of m(w). Let d(k) = 9*k**2 - 13. What is b(d(i))?\nAnswer: 162*i**4 - 468*i**2 + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1427 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -29*g - 116. Let k be i(-4). Suppose -437 = -y + 3*v, k = 2*y + v - 132 - 728. List the prime factors of y.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61544*s**3 + 42*s**2 - 181 wrt s.\nAnswer: -369264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4266017 is divided by 948.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*u + 394 = 5*q, 0 = -5*q - 4*u + 991. Suppose 19*d - 17*d = 10. Suppose d*y - 81 - q = 0. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 40 = 10*k. Solve m - 3*m = -k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -138*f. Let q(v) = 50240*v**2. What is r(q(u))?\nAnswer: -6933120*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14472346 divided by 59?\nAnswer: 245294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b + 999*b**2 - 1 - 857*b**2 - 150*b**2. Let h(m) = 17*m**2 + 6*m + 3. What is -5*g(i) - 2*h(i)?\nAnswer: 6*i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71314 or -71068?\nAnswer: -71314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 76, 160, 276, 424, 604, 816?\n\"Answer: 16*m**2 + 4*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 609 and 5265501?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4\/7 (b) 2.4 (c) -15 (d) 2\/19 (e) -4.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/17 - -28\/153. Which is the second smallest value? (a) 4 (b) v (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/42103 bigger than 158\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3774*v + 8401*v - 1 - 2140*v + (-4 + 5 + 0)*(0 + 0 + 2*v) in the form c*v + j and give c.\nAnswer: 2489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19512*j**4 - 3083*j - 3?\nAnswer: 234144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-21)\/(-6) + (-1)\/(-1))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/675*-4)\/(813\/4878). Is 1 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -325048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42933, 343435, 1159085, 2747457, 5366125, 9272663, 14724645, 21979645?\nAnswer: 31295237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/8 - 0 - (-29)\/28. What is the closest to -1 in 15, 4\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, v: 1, a: 5, g: 3}. What is prob of sequence ga?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -3 - -2*(-2)\/(-4). Solve -5*c - j = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*w + 2*j + 5, 0 = 5*w - 2*j - 33. Suppose 5*y - 5 = -w*h + 55, 5*y - 60 = -3*h. Let p = 35 - y. Calculate the remainder when p is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1554 - 18*y**2 + 184 + 1163 - 425.\nAnswer: -18*y**2 + 2476","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 2*u + 7*u)*(3*u + 0*u - 2*u).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0*(-10)\/100)\/(-3). Let v(d) = d**2 - 5*d + 1171. What is the tens digit of v(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*s - 20*s - 1458 = 10593 for s.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/9)\/(0 + 3\/12339)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -88.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 + 166*p**2 + 157*p + 120. What is y(84)?\nAnswer: -804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -9. Let n = -4 + l. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.273 + 4.483. What is the second smallest value in -105, l, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 + 3042*j - 6940323.\nAnswer: -(j - 4563)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 2*f**3 - 1592. Let t(y) be the first derivative of 2 - 4 + 3*y**2 + y**2. What is m(t(x))?\nAnswer: 384*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 14*i**2 + 1356*i - 196. What is a(-97)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 3:41 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -5*b**3\/6 - b**2 - 137*b. Let r(f) = f**2. Give r(j(t)).\nAnswer: 25*t**2 + 20*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*w + 28. Let z(c) = -12*c. Let b be z(-2). Suppose -3*v + m + 0*m = -16, 5*v - b = m. Solve v*a = w*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155 + -152. Let i(d) = -6*d**3 + d**2 + d. Let r be i(-1). Let y be 4\/r - 10\/(-12). What is the third smallest value in k, -2\/3, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2910 + -2962 + (58 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 100, 1\/3, -0.5, -0.022, -3\/8, 14\/9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q - 274*q**2 + 809*q**2 - 253*q**2 - 288*q**2.\nAnswer: -6*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 - 2965*d**3 + 441040*d**2 - 438080*d.\nAnswer: 5*d*(d - 296)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-48)\/168*(-98)\/63).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -5. Let f be 1\/2*k\/3. Solve 4*h - 6 - 2 = f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 + 8. Let s be h(0). Suppose 2*v + 0*v = s. Let j be (-3)\/(-1) + v + 17. Calculate the highest common divisor of j and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2879, -12568, -29071, -52388?\n\"Answer: -3407*a**2 + 532*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118096 is divided by 862.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -53*k**2 + 10*k + 6. Let u(t) = -t - 1. What is 2*u(s) + y(s)?\nAnswer: -53*s**2 + 8*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 6*b + 6. Let c be u(-5). Let d be 2*-1 - (-2)\/c. Let h be (-2 - 9\/(-4))*(-8)\/(-3). What is the nearest to h in -1, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143404 (base 6) to base 10\nAnswer: 13756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 = -5*h, -4*b - 2*h + 8 = -4*h. Let i = b - -39. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 + 1207 = 22*w. Solve 11*x - w = 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0581546 - 3799741?\nAnswer: -3799741.0581546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 2:27 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*o + 2. Suppose -o*a = 2*a + 24. Let l(c) = -c**2 - 4*c + 5. What is l(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 496, -34, 62 in ascending order.\nAnswer: -34, 5, 62, 496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m**3 + 35*m**2 + 85*m + 112. Determine g(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 42, 71, 110, 165, 242, 347, 486?\n\"Answer: p**3 - p**2 + 25*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s - 2*s - 3*s - 1. Let l = 7 + -7. Calculate p(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.4, -1370, -6\/5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3368 + -3374. Let r = 26 + -23. Which is the closest to h? (a) r (b) -3\/4 (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 2) + 217 + -228 + 119.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110128 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y + y + 2*y. Let g(d) be the third derivative of -19*d**5\/60 - d**2. Give p(g(q)).\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 32. Let y = 32 - k. Let t be (-3)\/y*296\/6. Solve l = -5*s - 10, -4*s - t = -l - 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5116 - 92045\/18. Calculate the common denominator of 111\/20 and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 2. Let u(t) be the second derivative of t**3\/2 + 3*t**2 - 9*t. Give -7*p(b) + 2*u(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s. Let m be d(0). Let a be (-79)\/(-9) + (-12)\/(-54). Let p = a + m. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01162296049 rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 4. Let l be v(0). What is the second biggest value in l, 1\/8, 1\/6, -2\/17?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**4\/4 + 5*m**3 - 23*m**2 + 25*m + 2047. Determine w(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxzmzxkz. Give prob of picking 1 m and 1 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/150)\/((-1)\/10) + (-38)\/(-65).\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3307435780 and 440.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 638 and 696.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = s. Let v(w) = -w**4 + 19*w**3 - 10*w**2 - 8*w + 8. Let p(l) = -l**4 + 13*l**3 - 7*l**2 - 5*l + 5. Let j(y) = s*p(y) + 5*v(y). Factor j(h).\nAnswer: 3*h**2*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-445)\/50 + 9)\/((-4)\/(-15))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*y + 2*n - 3, -3*y + 5*n - 3 = 0. Let g(p) = -6*p + 2. Let z(x) = -x. Calculate y*g(i) + 8*z(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 67. What is the closest to 0.1 in -0.1, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17408 and 12800.\nAnswer: 435200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72018146 divided by -2221.\nAnswer: -32426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 93*j + 1058. Let b be v(13). Solve b = 20*q - 82 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 0*o**2 + 11*o + 5*o**2 + 4 + 2 + 11*o**2. Let a(j) = 3*j**2 + 2*j + 1. Let h = -3 - -5. Let q(g) = h*x(g) - 11*a(g). Suppose q(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let h(w) = 3*w. Let s(a) = h(a) - q(a). Let v(g) be the second derivative of 1\/4*g**4 + 3*g - 4 + 0*g**2 + 0*g**3. Calculate s(v(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q - 906 - 4854. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 6*(sqrt(17) - sqrt(68)\/sqrt(4)) - (4 + (sqrt(17) + -1 - sqrt(17))))*-4)**2.\nAnswer: -96*sqrt(17) + 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 86*r - 3. What are the prime factors of i(1)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -1 - (6 + 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*(sqrt(13) + sqrt(117)).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -981.9.\nAnswer: -490.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 7:06 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*l*t**3*x - 13*l*t**3 - 4*l*t + t**3*x - x wrt x?\nAnswer: 14*l*t**3 + t**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(-1)\/(-12)*-3. Let p(v) = v - 2. Let s(x) = -x. Give q*p(t) - 2*s(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -2 + -6 + 67 + -68?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1648\/7 + -236. Which is the closest to 0? (a) -2\/3 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 5930?\nAnswer: 65230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 163978485844?\nAnswer: 163978485844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -9\/269, -919 in descending order.\nAnswer: -9\/269, -6, -919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e762 - 5?\nAnswer: 2e75c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -2, -1\/7 in increasing order.\nAnswer: -16, -2, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12657256 by -51874.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7 - d**3 - 12556*d**2 + 12574*d**2 - d - 15*d. What is m(17)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + 68. Suppose 0*h + t = 2*h. Solve -5*c = 4*l + h, -2*c + 4*c + 18 = -5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 12:47 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w**3 - 7*w + 5. Suppose -i + 7 = -0. Let j(b) = -b**3 + 2*b**2 + b - 4. Let o be j(0). Let g(q) = 3*q**3 - 4*q + 2. Determine i*g(t) + o*a(t).\nAnswer: t**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -24803 not equal to -24806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (124 + 10 + 29)*(0*f - 2*f + f) to the form l*f + p and give l.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 10*t + 6. Let f be n(-4). Suppose -4 = -b - s, 5 = 3*b - 3*s - 7. What is the least common multiple of f*(0 + 1\/(-3)) and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 30. Let w(r) = -3*r**2 + 5*r + 5. Let x(p) = -3*p**2 + 6*p + 6. Calculate k*x(c) + 6*w(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*h = -16, 4*q + 2*h = q + 20. Suppose -q*p = -49 - 87. Suppose 21 = -v + p. What is the highest common divisor of 143 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -13 + 19*r - 51 - 2 - 5. Let k be s(18). Which is smaller: 270 or k?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329218452 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 - (-48)\/(-18)*-339.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 112227? (a) 2\/5 (b) 0.3 (c) 2\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.30454 from -4434.\nAnswer: -4433.69546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (0 + 1 - 2). Let h be -1*(q + (11 - 0)). Let j = -4 - h. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**(-38)*r*r)))\/r**(11\/5) assuming r is positive.\nAnswer: r**(-191\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5478691.\nAnswer: 193, 28387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11745064 is divided by 3915000?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 10. Suppose 2 = 2*j - 6. Suppose 2*u - h = -u + 32, -u = -j*h - 29. Is u >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h, -64*m + 66*m = -4*h + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*g = 26, 2*k = 2*g - 6 + 18. Suppose 0 = -0*l + k*l - 10. Sort -2\/11, -2\/17, l in increasing order.\nAnswer: -2\/11, -2\/17, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 5 (c) -9 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -25426?\nAnswer: 25425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 27a13?\nAnswer: -27a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -83*y**2 - 15*y - 81. Let f be g(-14). Let l = f - -742327\/46. Find the common denominator of 83\/2 and l.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 - (0 + 1) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*h + 3*s - 64, 4*h - 2*s - 46 = 0. Suppose -4*i = -3 - h. Solve 3*r = 3*w - 9, 3*r = -i*w - 2 + 14 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3104.031 + -3108. Let n = -52.031 - -52. Let d = n + g. What is the closest to 2\/9 in d, 1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + 3*w**5 + w**4)*(-3 + 2 + 0) + (-4 + 1 + 4)*(-7*w**5 - 5*w**5 - 2*w**5 + (-2*w**4 + 2*w**4 - w**4)*(0*w + 2*w - 3*w)).\nAnswer: -16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(833) + -3.\nAnswer: -4 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 9*u**4 - 2*u**4 + 306*u**2 + 78*u - 108*u**3 - 65*u**2.\nAnswer: u*(u - 13)*(u - 3)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: f (base 16) to base 10\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 109?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143021 - 2?\nAnswer: -143023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h - 6*h + 1 - 5*h + 23*h - 1.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544865.\nAnswer: 5, 59, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 2:07 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4666163 is divided by 99.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -26*y**2 + 10006*y + 2455. Determine n(385).\nAnswer: 915","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -3 - 25\/(-18)*-2. Let w = -0.095 + 0.295. Which is greater: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*g - 3*p, -2*p + 3*p - 2 = 0. Which is greater: g or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 2*k + 1. Let c be i(-1). Let r be 6\/c - 1 - 0. What is the derivative of -j**4 - 1 - 3 + r wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13193652 is divided by 824603?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 293558034 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 480 divide 1090192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210020220 - 212?\nAnswer: -210021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 947 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-456)\/(-4)*4\/6. Let b = 85 + i. Suppose 0 = -3*h + b*h - 30. Solve h*w + 5 + 10 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*v**2 - 8*v + 27*v - 4*v**2 + 5*v**2 wrt v.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(((f*f\/f**(2\/7))\/f)\/f)\/f*f)\/f*f*f**41*f**34*f*f\/f**(3\/38) assuming f is positive.\nAnswer: f**(20651\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s. Let y(c) = -7 + c + 19 - 76. Give y(t(o)).\nAnswer: -2*o - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 198.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 7\/40*a**5 - 1\/2*a**2 - 7\/12*a**3 - 2*a + 1\/12*a**4 + 3. Let b(f) be the first derivative of c(f). Factor b(d).\nAnswer: (d - 1)*(d + 1)*(7*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95388620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1466, 6542, 14992, 26810, 41990?\nAnswer: 60526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9341?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8445 is divided by 119?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296*a - 51 = -390*a + 1547. Let c(k) = 4*k**2 + 7*k. Calculate the remainder when c(-5) is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*w - 5*o - 0*o, -2*w + 3*o + 32 = 0. Suppose 0*c + w = 4*c + 2*k, -4*c + k = -7. Let x be ((-16)\/(-6))\/c*3. Sort x, -1, 0 in decreasing order.\nAnswer: x, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*g + 239 = -2*g, -2*g + 2 = 0. Calculate the highest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -54741, -53254, -51769, -50286, -48805, -47326?\n\"Answer: -k**2 + 1490*k - 56230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/(1705\/(-238700)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 19 = -5*r, -4*j + 20 = 6*r - 2*r. Let t be (-1)\/11*(-66)\/(j + 3). Solve z + t + 1 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1300 - 83 + 67*g**3 - 1124 - 93.\nAnswer: 67*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -92*h - 1828. Give z(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*r + 14*r - 17*r - 17*r - 15*r.\nAnswer: -54*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-1)*((-8)\/(-40) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-18 - -12) - (-2 - -20).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -106.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-9 - 0) + (-2)\/(-6)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*c + m + 50, -41 = 3*c + 4*m. Let t be (3 - 8\/4)\/(5\/c). Put 1, 4, t in decreasing order.\nAnswer: 4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3093851.011 to the nearest 100.\nAnswer: -3093900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 8 + 1)*(-3*j - 4*j + 5*j) - 389*j + 385*j - 338*j to the form w*j + s and give w.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 123528240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2. Let b(n) = -17*n - 6*n + 23*n + 205*n**2. Give x(b(z)).\nAnswer: 84050*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5601 is divided by 147.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9*p**3 + 2*p**2 + 6*p - 3. Let l be b(3). Let x = 701 - l. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-34)\/136)\/((-2)\/24). Solve -11*y + w*y = 32 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79 by 1.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 72 = -8*c. Calculate the remainder when 81 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 241.3 + -259. Let h = -20 - m. Let z = -7.7 + h. What is the smallest value in -3, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -3. Let y be 12\/(-9) + c\/(-3). Does 17 divide (-2 - y) + (15 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81406290 and 8880.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198) + -1*(sqrt(198) - -1*sqrt(198) - sqrt(198)))\/((sqrt(88)\/sqrt(4))\/sqrt(11) - -4*sqrt(32)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 106514 (base 7) to base 4\nAnswer: 10222301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 598*t - 514*t = 252. Let b(x) be the third derivative of 0*x - 17*x**2 + 5\/24*x**4 - 3*x**t + 0. Differentiate b(d) with respect to d.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7.75 and -2525.\nAnswer: -2532.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Calculate the remainder when 63 is divided by -32*n*(-1)\/4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 6*i**2 + 4*i - 3. Suppose -30 = 3*q - 150. Calculate the remainder when q is divided by o(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/131 - 6427\/262. Suppose 18*o = 15*o + 534. Find the common denominator of (-2)\/4*2 - o\/12 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -f - r - 3, -14 = 5*f + 4*r. Let w = f - -3. What is the third smallest value in 3, w, 2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -162.58 - -162.98. Sort 4, w, 3.024 in increasing order.\nAnswer: w, 3.024, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, m: 1, s: 1, c: 2, e: 4}. What is prob of sequence eme?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -677\/1802 + 62\/53. Find the common denominator of u and ((-1755)\/(-54) + 17)*1\/15*1.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.1 from 33.3503.\nAnswer: 35.4503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -31.88287905.\nAnswer: -27.88287905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*x - 3*l - 0, -3*x + 9 = 4*l. Suppose x*s = i + 10, -2*i - 10 = 3*s - 7*i. Solve r + 4*r = s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21.91 - -22. Let u = -230602.0899928 + 230602. Let p = b + u. What is p rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 228 + -228.131. Let p = z - 2.509. Round p to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 3*w + 4. Let i(q) = -q**2 - 2*q + 3. Let r(m) = 5*i(m) - 4*t(m). Determine r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 0.3 (c) -0.1 (d) -52 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4))\/((-114)\/532) - 629\/34.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*d + 81*d - 34*d = -24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1552.8 - -1552.6. Which is the fourth biggest value? (a) h (b) -3\/5 (c) -1\/3 (d) 1 (e) 12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/28 - (-2 - -3))\/(-1 - 0)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**3 - 60*n**2 + 144*n + 1280 = 0.\nAnswer: -16, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 at least 100.223349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*m = 52 + 89, 3*h - 4*m = 368. Is 29 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*((-10)\/(-5))\/((-30)\/45)*4\/4.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-308)\/(-294) - (-2)\/7. Let a = -0.13 + -0.07. Is a smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-198)\/108 + (-1)\/(-3))\/(13 + 5).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t + 8*t - 26*t + 19 + 8*t. Let a be v(19). Suppose -3*x + 6*x - 5*s + 1955 = a, 2*s = 2. Round x to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/25 equal to 0.771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3120 and 4635.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102.89243 rounded to one dp?\nAnswer: 1102.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 15*f + 86. Give m(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**7\/6 + 91*w**6\/180 + 30*w**3 - 58*w. Let x(r) be the second derivative of p(r). Find the third derivative of x(f) wrt f.\nAnswer: 840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -70, -7, 5, -3, 1 in descending order.\nAnswer: 5, 1, -3, -7, -49, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/4*(-161 + 157)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1135*c**2. Let y(r) be the second derivative of r**3 - 248*r. What is y(d(s))?\nAnswer: -6810*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2128735845?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 242419 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from xxsxxsxwssixx?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237452, 475085, 712718, 950351, 1187984, 1425617?\nAnswer: 1663250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2184, -0.4, -3\/47?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 3*g - 25. Let l(b) = 4*b**2 - 10*b + 75. Determine 7*d(t) + 2*l(t).\nAnswer: t**2 + t - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.551 in 0.5, -30, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7628 = 4*n - 4*x - 11128, 14055 = 3*n + 3*x. Is n a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 3*g**2 + 2*g + 2. Let f be w(3). What are the prime factors of f\/20 + 54\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 407*p + 1253*p + 481*p + 111332 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 566000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 278 = -w. Suppose 2*f - 6*f = -w. Let j = 106 - f. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 867 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (140\/6)\/(-7)*6. Let o = w - -17. Let x(d) = -566667*d**3 - d**2 + d + 3. Let b be x(o). Round b to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 0)\/(4\/6). Let a = -6 + 8. Factor -a*z + 1\/3 - 4\/3*z**h + 3*z**2.\nAnswer: -(z - 1)**2*(4*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 882 and 113925?\nAnswer: 683550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -37\/4*y**5 + 0*y**2 - 1\/12*y**4 + 0*y**3 - 2*y - 6. Is 23 a factor of t(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 - u**3 + 3*u**3 + (2*u - 5*u + 4*u)*(-5*u**2 + 4*u**2 - u**2) - 72*u**2 - 13*u**3 + 72*u**2 + (4*u - 4*u - u**3)*(-2 - 5 + 5).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 37. Let b = -20.9 - f. Put -10, -4, b in decreasing order.\nAnswer: b, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**7*d))\/(d\/((d**(6\/7)*d)\/d)))\/(((d*d*d\/(d**8\/d))\/d)\/((d\/(d*d**9\/d))\/d)))**(-5) assuming d is positive.\nAnswer: d**(390\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5786?\nAnswer: 2, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1348 divide 1059465943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1194 and 105.\nAnswer: 41790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 + 6*t - 12. Let k be d(-3). Let u(i) = i**3 + 3*i**2 + i + 3. What is u(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 610 - 601 = -4*z, -4*c = 4*z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 - 48. Solve -3 = -3*q, q = -o*z - 4*q + 20 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z - 4*z + 6*z + z**2 + (-3*z - 3*z + 3*z)*(2*z + 3*z - 4*z).\nAnswer: -2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8057 = 5*i - 2583. Let l(d) = -10*d - i*d**2 + 1076*d**2 + 1059*d**2 + d**3 - 7. Let v(r) = 2*r**2 - 3*r - 2. Calculate 2*l(w) - 7*v(w).\nAnswer: 2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*y**6*z - 506*y**3*z - 52*y**2*z + y*z - 255*z wrt y?\nAnswer: -1560*y**3*z - 3036*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1279 + 1282. Solve 3*j + 0 + 6 = h*b, 5*b - 10 = -4*j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*n - 42 = 0, -2*n - 18 = -2*b - 4. Suppose -b*l = -3*l - 25. Calculate the greatest common factor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15491 times -3?\nAnswer: -46473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2314903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 2.02733223.\nAnswer: -1.62733223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -b11862 (base 14) in base 3?\nAnswer: -102012202001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 129288 times -34.6?\nAnswer: -4473364.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*b - 20 = 70*b. Suppose 0 = 5*h - 0*z - 2*z + 384, 3*h = -3*z - 243. Calculate the remainder when (b + 3)\/(4\/h) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -169615828.\nAnswer: -1\/42403957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + -7 - (-4 - (21 - 31)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = -1. Suppose -d = -2*o + 4. Suppose -o*k + 6 = i - 24, -5*k - 4*i + 43 = 0. Calculate the highest common factor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.73 - 3.73. What is the second biggest value in -1, 2\/9, m, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**3 + 4*v**3 - 5*v**3)*(-9 - 1 - 2 + 0 - 1 + 3 - 2 - 1 + 4 + (0 + 2 - 1)*(-1 - 1 + 3) - 3 - 1 + 3) to n*v**3 + o*v + f + d*v**2 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 9:02 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a decade in months?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 8*n - 5. Let v be m(7). Let d(z) = -4*z**2 + 6*z**3 - v*z + z + 2 - 5*z**3. Calculate d(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23479817 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1755.4 + -1567. Round o to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4634, 4, 3, -3, -2\/5, -4 in decreasing order.\nAnswer: 4, 3, 0.4634, -2\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*5\/30 - 679\/2. Let g = h + 515. Is g a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/19)*v\/v**(2\/83)*v*v**(-2\/9)\/(v*(v*v**(2\/21)\/v)\/v))**20 assuming v is positive.\nAnswer: v**(3504520\/99351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*x - 59 + 90 + 95 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 5. What is the tens digit of u(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/4))\/h**(-3))**(1\/8)*((h**(-2)*h)\/((h*h\/h**(-3\/5)*h*h)\/h))**(-10) assuming h is positive.\nAnswer: h**(1489\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11931, 12247, 12755, 13455?\nAnswer: 14347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 2940337*h**2 - 35284152*h + 105852564.\nAnswer: (h - 6)**2*(h + 2940349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxhhhhhhhhhkkhhkkhhh. What is prob of sequence hhx?\nAnswer: 91\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 18*b**2 - 646*b + 3613. Let i(h) = -3*h**2 + 107*h - 602. Let j(d) = -13*i(d) - 2*m(d). What is r in j(r) = 0?\nAnswer: 8, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + d - 43, 47 = -3*j + d - 92. Are j and -49 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 4*c + 419 - 419.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**4\/4 - 2*z. Let a(p) = -3*p - 4. Let k(s) = 2*s + 3. Let j(r) = 3*a(r) + 4*k(r). What is j(v(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (976\/176 - 84\/154))\/((-2)\/(-27))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -32, 10, -15, -106?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47452 and 63168?\nAnswer: 749361984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1.618332?\nAnswer: -0.1618332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.098 + -0.002. Which is the closest to h? (a) -12 (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 + 6*u - 5. Calculate n(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -47036952, -94073892, -141110832?\n\"Answer: -47036940*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 555477039*o + 648687644 wrt o.\nAnswer: 555477039","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**1)**20\/(q**0)**10 assuming q is positive.\nAnswer: q**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktht when four letters picked without replacement from {h: 4, k: 4, t: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204985*c = 205018*c - 1254 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -20*a**3 + 7*a**2 - 13*a**2 - 4*a**3 - a + 8*a**2. Give j(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -172 + 176. Sort 1, -0.5, d, -22 in decreasing order.\nAnswer: d, 1, -0.5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*t - 16 = -t, -4*t = -5*p + 12. Suppose -3*x = -4*m - 12, p*x - 12 = 3*m + x. Find the second derivative of 11*w + 4*w**5 - 9*w + m*w**5 wrt w.\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzh when three letters picked without replacement from {b: 1, z: 11, h: 4, s: 3}.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -605.246 to the nearest integer.\nAnswer: -605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - -31. Suppose b*m - 2*m = 5*v - 35, -2*m = -3*v + 5. Which is smaller: m or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.88 - 14. Let n = w - 0.08. What is the closest to n in 2, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10483 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3*(-36)\/(-8). Suppose -2*t = y*t - 10. Factor -2*g**5 - 2*g**3 + 4*g**4 - 75*g**t + 75*g**2.\nAnswer: -2*g**3*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3 + 466*f**2 - 2724*f = 0 for f.\nAnswer: 0, 6, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 312515618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28766*f**2*h**3*l*u - 55*f**2*h**3 - 5*f*h**3*u + f*h**3 + 2*f*h**2*l*u - 214*h*l - 3*l*u + 7*l wrt f.\nAnswer: -57532*h**3*l*u - 110*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 417 divided by 3\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.13296ug in grams?\nAnswer: 0.00007713296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -625 - -649. Let k(l) = l**3 + 3*l**2 + l - 2. Let y be k(-2). Suppose -3*w + y*w = -q. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4015?\nAnswer: 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, l: 3}. What is prob of picking 3 x?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*v - 66*v = 102*v + 552 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.07 rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452940 is divided by 3306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -16905 (base 12) to base 14\nAnswer: -bb49","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 1214084863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.1 (b) -6 (c) -2\/3 (d) 1\/3 (e) -114 (f) -2 (g) 2.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 37. Let h be l(-16). Solve -3*w + z + 12 = 0, h*z + 14 = 3*w - 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.02498, 1, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u**2 - 6*u + 2 - 2*u + 12*u + 0*u**2. Does 43 divide a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-56)\/90 - (-4)\/10. Let q(b) = 7*b - 49. Let r be q(7). Which is smaller: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**2 - 89*l - 118. Let o be d(-6). Solve -17*i - o = -168 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away -0.098761?\nAnswer: 11.098761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1709763478 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6.76, 4, -1, -0.5?\nAnswer: -6.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 4*q**2 - q - 4. Let v be d(-4). Let w(o) = -2*o - 9. Let f be w(-7). Let k = 7 - f. Solve u = 4*c - 11, v = -2*u + c + 2*c - k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 68, 0, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-3)*c**(-1\/4))\/(c**(-6)\/c*c\/(c\/(c\/(c\/c**(-1)*c)))))**50 assuming c is positive.\nAnswer: c**(775\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(400\/15))\/(2\/30)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 484*r**4 + 5816*r**3\/3 + 1484*r**2\/3 - 8704*r\/3 - 16 = 0?\nAnswer: -3, -2, -2\/363, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**2 - 2. Let p = 30448 + -30450. Let c(y) = -11 - y - 15 - 25*y**2 + 15. Give p*c(i) + 11*r(i).\nAnswer: -5*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2042398578 and 209?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*(c*c**(2\/15))\/c*c)\/c)\/(c\/c**(-2)))\/((c*c\/((c*c**(-5\/3))\/c))\/c**(-13)))**(4\/19) assuming c is positive.\nAnswer: c**(-1112\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6803320 is divided by 113382.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a micrometer in nanometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22302 and 1263654.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, 3, -4, -5\/6, -2, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 72 - 293*l - 81 - 1061*l + 217.\nAnswer: -1354*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 2:49 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - -17. Let k = 172 - 109. Let u = t + k. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine sixteenths of a week?\nAnswer: 5670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497835?\nAnswer: 5, 299567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*h + 20, -4*h + 2 = n - 11. Let g be (-4)\/10 - 718\/5. Let u be (-4)\/g*-2*4. Are n and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2613 + 2611. Sort -8, -76, i, 2 in ascending order.\nAnswer: -76, -8, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 3*a - 2. Let c be v(2). Suppose c = -14*p + 11*p + 771. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28534 (b) 4 (c) 783\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**3 + 266715756*s**2 + 5928107874887628*s = 0. What is s?\nAnswer: -44452626, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 21*f**2 - 5*f - 8. Let c(t) = t**3 + 10*t**2 + 3*t + 4. Let q(g) = 9*c(g) + 4*r(g). Let z be q(-4). Solve -4*l + 2*l = z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 6 + 5)*(0*u**2 + 2*u**2 - 3*u**2) + 19*u**2 + 966*u**2 + 723*u**2 to p + t*u**2 + q*u and give t.\nAnswer: 1706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*z = 673 - 157. Let i(g) be the second derivative of 0*g**2 + 0 - z*g + 5\/2*g**3 + 5\/12*g**4. Factor i(l).\nAnswer: 5*l*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(1*sqrt(3)) + -2.\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55032.8 years in millennia?\nAnswer: 55.0328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*j - 2*j. Suppose 3*z + 5 + 7 = 0, -j*z - 448 = -4*c. Suppose 5*y = -3*q - 0*y + 30, 0 = 4*y. What is the greatest common factor of q and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10036 - 5328. Suppose 3932 = -3*j - d. Let z = -40373\/14 - j. What is the common denominator of 61\/10 and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*f + f + 4*l, 0 = -3*l + 3. Let c(u) = u**3 + 9*u**2 - u + 5. What is the smallest common multiple of c(f) and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*h = -h - 8, 4*a + 2*h - 8 = 0. Solve -4*j = 5*w + 11, a*j = 2*w - 6 - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.4 - -10.4. Let l = 9\/29 + -132\/145. Which is the nearest to v? (a) l (b) 1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyyb when four letters picked without replacement from byybbwywybybwtb?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 190*a**2 - 80*a - 160. Let n(k) = 7*k**2 - 3*k - 6. Let i(m) = -3*h(m) + 80*n(m). Let o(z) = 0 - 2*z**2 + 0. Give o(i(g)).\nAnswer: -200*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-5)*w*w\/(w**(-7)\/w*w*w)*w*(w**(-1))**12*(w**(-1\/2)*w)**(-21)\/(w**(-7)\/w**(-4)) assuming w is positive.\nAnswer: w**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 220 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/5*((-28275)\/90)\/(-29).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3313 + 3312. Which is the nearest to -1? (a) n (b) 1.7 (c) -0.03 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 15827\/63890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-2 - (-11 - -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 + (-396)\/(-90). Let c be (16\/24)\/(j\/6 + 0). Solve 3*u + c = -14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - a - 27 = -0*s, s + 5*a + 15 = 0. Let f(m) be the third derivative of m**5\/60 + m**4\/24 - 5*m**3\/3 - 2*m**2. Is 2 a factor of f(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 5*m - 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 17441 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d622 (base 16) in base 8?\nAnswer: -353042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -3*h**6\/40 + h**5\/20 + h**4\/24 - 1076*h**2. Determine w(-2).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/20 - ((-2)\/(-904))\/((-11)\/(-1199)). Put -3\/5, 0.06, w, 2\/3 in ascending order.\nAnswer: -3\/5, w, 0.06, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 4, 18, -3344\/9 in increasing order.\nAnswer: -3344\/9, 2\/7, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 = -3*p + 6*p, -4*o - 5*p + 32 = 0. Suppose o*k - 5*k = 18393. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -19*d**3 - 14*d**2 + 30*d - 5. Let m(y) = -y**3 + 2*y**2 - 3*y. Let a(b) = 7*m(b) + t(b). Let s(v) = -13*v**3 + 5*v - 3. What is -3*a(x) + 5*s(x)?\nAnswer: 13*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 d, and 1 g when three letters picked without replacement from cdcdgacdcccdc?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**3 + 25. Let s(p) = 5*p**3 - 26. Determine -6*r(a) - 5*s(a).\nAnswer: -a**3 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361*y - 5*i = -365*y + 659, y + i - 149 = 0. Solve y = 5*b + 131 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131210113100 (base 4) in base 14?\nAnswer: -105aa76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206615 + 75741 = -4618*a - 59383 + 46187 for a.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4241 is divided by 1105.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**2 + 3616*u - 362180 = 0.\nAnswer: -995, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 2:26 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, r: 5}. Give prob of picking 4 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 - 6*w**2 + 2*w**2. Let y(x) = -x - 1. Let d(n) = -9*n + 4. Let l(a) = d(a) + 4*y(a). Calculate z(l(m)).\nAnswer: -169*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**2 + w**4 + 4*w**2 - 3*w**3 + 5539*w + 1 - 5541*w to the form y*w + a*w**2 + l + z*w**4 + t*w**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98\/10 - (-2)\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 2772*x**3 - 8305*x**3 + 2798*x**3 + 2766*x**3.\nAnswer: 31*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1473890 - -2275963. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*54444620\nAnswer: -4355569.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -2. Let m = 0.2 + u. Let l = m + 1. What is the second biggest value in -3, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5244*q - 9762*q + 4973*q + 1.\nAnswer: 455*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 1, 124, 8507?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75 - 593*z**4 + 13*z**3 - 640 - 5*z**3 - 10*z**3 wrt z?\nAnswer: -2372*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 8:07 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 - 1. Let x be n(1). Solve 4*o + 17 = 5*s - 10, 0 = -x*s - o + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.0855 (b) -0.0203 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1053296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4858812736.\nAnswer: 2, 53, 127, 11279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 26 and 633772.1?\nAnswer: 633746.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*a - 8, 12 = 4*x + 2*a. Let u(g) = 14*g**2 + x + 9*g**2 - 22*g**2 - 6*g. Does 17 divide u(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 6*j - 24 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/9 or -1\/104?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(66) - ((sqrt(66) - 2*sqrt(66) - sqrt(66)) + sqrt(66) - sqrt(66)))*-4 + sqrt(66))\/sqrt(6) - -1*(-1*sqrt(55))\/sqrt(5))**2.\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*u = -104, -b + 2*u = -0*u - 26. Suppose 0 = i - 4 + 6, -2*i = 2*y - b. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 1:13 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/121924 and 31\/88.\nAnswer: 243848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwnn. Give prob of sequence wnn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206535, 206540, 206547, 206556, 206567?\nAnswer: 206580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*c*l**2*r + 272*c*l**2 - 2*c*l*r**3 - 641*c*l + 127*c*r**3 + 110*l**2*r**3 - 2*r**3 wrt l?\nAnswer: -68*c*r + 544*c + 220*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/17716 and 13\/206?\nAnswer: 17716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 448534923?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from {a: 2, y: 4, f: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 161 - 132. Solve -d - 5*y - 18 = 0, 2*d - 8 + i = -5*y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 20 = -k. Let f(m) = 31*m + 9. Let h be f(k). Let n = 73 - 32. Calculate the highest common divisor of h and n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 20. Let a = g + -17. Factor 75*m - 25*m + 3*m**2 - 26*m - 30*m + a.\nAnswer: 3*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 960 = -7*o. Let v = 227 + -224. Suppose -2*k = -4*w + 256, 0*w + o = v*w + 2*k. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25960216 divided by 12980108.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 33, 54, 71, 84, 93, 98, 99?\n\"Answer: -2*s**2 + 27*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 105 + 33. Let o be 1\/(-2)*z\/(-4). Solve -o*n + 8 = 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 33, 0, 189, 3 in decreasing order.\nAnswer: 189, 33, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - ((11 - 16) + 14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + -3.7. Let n be 22\/(-10) - (-48 - -47). What is the nearest to -0.1 in 2\/3, n, a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012200 (base 3) in base 7?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f + 2. Let y(d) = 22*d. Let j(g) = 14*c(g) + 2*y(g). What is j(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4*m\/(m\/m**(-7)*m)*m)**(-2)*((m\/(m\/(m\/(((m**(-2\/5)*m)\/m)\/m))))\/m)**12*((m*m*m\/(m**0\/m)*m)\/m)**(-1\/19) assuming m is positive.\nAnswer: m**(2146\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*m - 8906 = 0, -2*q = -204*m + 203*m - 5942. Is q a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86009 times -0.2\nAnswer: 17201.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6955432.2 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2082 + -2110?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/6 - (-76)\/24. Solve 22 + c = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46118 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 0*k + 3*k + (-2 + 0 + 4)*(-k + 3*k + 0*k) + k + 4*k - 4*k - k + 1 - 1 + 0*k - 2*k + k + k + 0*k - 5*k as q*k + p and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -33, 4, -1, -74, -2 in ascending order.\nAnswer: -74, -33, -5, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*n = -9*n + 423 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.17282, 2\/11 in increasing order.\nAnswer: -1, -0.17282, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9835247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**5\/420 - z**4\/14 - 6*z**3\/7 + 17*z**2. Suppose r(y) = 0. What is y?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -1449?\nAnswer: -1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -50, -44, -38, -32?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 1 - 1)*((-5*w + 4*w - 6*w)*(-w**2 + 2 - 2) - w**3 - 2*w**3 + 5*w**3 + (3*w**2 + 2*w**2 - 4*w**2)*(w + 1 - 1) - 3*w**3 + 2*w**3 - w**3).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**3 - 273896*v**2 + 4689784068*v - 37500745248 = 0.\nAnswer: 8, 34233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3567 and 738.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or 1238?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*y + 6 = 0, -2*q + 1 - 7 = 3*y. Let v = 6 - q. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 109909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/((-200)\/318))\/((-273)\/364))\/(25\/125)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 6. Let x be 594 + (-2 - -2) - n. Suppose 4*i + x = -444. What is i rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 92, 406, 920, 1628, 2524, 3602, 4856, 6280?\n\"Answer: -d**3 + 106*d**2 + 3*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/6)\/(2\/(-6)). Let a(h) = 29*h**2 + 18*h - 48. Let j(z) = 11*z**2 + 7*z - 18. Let b(m) = 3*a(m) - 8*j(m). Give b(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a - 11. Give q(11).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -16. Let w be (-4)\/(-22) - (-2)\/d. Solve 0*h = 4*z + h - 8, w = -3*z - 3*h - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 + -64. Suppose -6135 = -4*y + 1159*u - 1154*u, -4*y + 8*u + 6096 = 0. What is the highest common factor of y and b?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-38000)\/(-375))\/(-19))\/(12\/63)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 4*g - 72. Let w = 959 + -890. Which is greater: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**4\/k))\/k)**(-39\/5) assuming k is positive.\nAnswer: k**(117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**2 + 210*k + 3675 = 0.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23f - -6?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*m + 140*m - 173*m**2 + 144*m - 421*m.\nAnswer: -173*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0*p)\/(((p*p**7\/p)\/p*p)\/p))**14*((p*p*p\/(p\/(p\/(p\/(((p*p*p\/p**(-4)*p*p)\/p)\/p)))))\/(p*p**(4\/3)))**(4\/5) assuming p is positive.\nAnswer: p**(-194\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -38*q**2 - 161*q + 165. Give t(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 108 + 137 + 2)*(-84 + 131*j + 84).\nAnswer: 32750*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 7. Let i be r(3). Solve i*l = 20 - 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 14*o**2 + 6*o - 18. Let p be s(-7). Suppose p + 738 = 4*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a - 15. Let q be (-2 + a\/(-3))*-27. Let k = -1059 + 1068. Calculate the greatest common divisor of q and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 205800820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-10))\/((-42)\/(-105)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -228, -281, -234, -39, 352, 987?\n\"Answer: 8*p**3 + 2*p**2 - 115*p - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 8*u - 3*u. Suppose -s + 11 = -u*z, 4*s + 0*z - 14 = 5*z. Sort s, -7, 2, -4 in decreasing order.\nAnswer: 2, s, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -10. Suppose q + q - 10 = p, 5*u = 2*q - 25. What is the units digit of 21 + u - (2 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a - 3. What is m(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 0 - (1 + -16 + 20 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4) - 120\/(-32). Let l(t) = -7*t + 1. Let a be l(1). Let x be 38\/3*a\/(-4). Solve 0 = -3*o + x - n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -0.1 (b) -1\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 0 = 14. Suppose 3*u + 3*h = -n*u + 26, -3*u + 10 = -h. Suppose 1411 = 2*l - c, 5*l - 2439 - 1108 = -u*c. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 r, and 1 i when three letters picked without replacement from rjribyy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199866436?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1005*z - 589*z = 521*z + 210 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 5, -415, -1 in decreasing order.\nAnswer: 5, 2, 0, -1, -415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 3:54 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32882\/328 + 189\/28)\/(0 + -1).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 273*z**3 + 104971*z + 2 - 104971*z.\nAnswer: 273*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/148, -2 in decreasing order.\nAnswer: 5, 1\/148, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1)\/1 - -3. Suppose 2*z + 8 = -2*b + 4*b, -4*b - j*z = -10. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 160*m - 32*m)*(-1 - 7 + 2) + (-m + 0*m - m)*(-3 + 6 - 4).\nAnswer: -724*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 5*t**2 + t - 3. Let s be q(5). Let f be ((-2)\/s)\/(1\/(-4)). Solve f*l - 2*l**2 - 7 + 7 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -7 (b) 63.42 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 361794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.41 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.06268 times -2.29\nAnswer: 0.1435372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, 175, 161, 143, 121?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -660 + 689. Suppose -37*i + d*i = 96. Which is bigger: -26 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c1abc1 + -10?\nAnswer: 1c1abb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from dsssgssdsossgsdoo.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1266\/2321)\/(6\/(-44))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 137088943\/210 + -652809. Let c = -112\/615 + 2\/41. Let r = c + a. Calculate the common denominator of r and 97\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m**3 - 6*m**2 + 6*m + 6. Let d be 2820\/17 + (-6)\/(-51). Let y = d - 165. Let u(k) = -k**2 + k + 1. Determine y*l(n) - 6*u(n).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 + 77*c**2 - 115*c + 195. What is u(-40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20\/(-25)*2681225\/(-115)?\nAnswer: 2, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2640*j - 5261*j + 2686*j - 1950 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4780 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a milligram in micrograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -646, -1276, -1906, -2536?\nAnswer: -3166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309939 is divided by 1834.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from wbbmbwogbttwtbw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + u**2 - 21*u. Calculate the remainder when 153 is divided by w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3916820 and 84688?\nAnswer: 15667280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 12. What is the units digit of a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*f - 357*f + 241 = -j - 174*f, 11*f = 4*j + 127 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -26.36828?\nAnswer: -26.16828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22640028 divided by 11320014?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2\/(-52)*(-6)\/(-21)*7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/11 - 204*f**4\/11 - 15842*f**3\/11 - 154356*f**2\/11 - 402480*f\/11 = 0. What is f?\nAnswer: -43, -6, -5, 0, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (46 - 15) - (-39 - (-7 + -12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -9\/7 and 0.36 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + -47. Does 28 divide -3 - -1*(-18)\/(-3) - w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 4, b: 3}. What is prob of sequence bab?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/1296 - 8431\/9072. Let a = -3\/7 - n. Let u be 0 + (24\/(-27))\/4. What is the second smallest value in 3, u, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -17937*v**2. Let f(t) = 4*t. What is f(d(q))?\nAnswer: -71748*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12151 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12428 - -12439. Solve 20*v - 4*b = 17*v + c, 0 = -3*v + 5*b + 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 40?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-117))\/(30\/(-27)*3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/163160 and 39\/37669565?\nAnswer: 301356520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 1. Let i(t) = 1. Let u(o) = 1 - o + 2 - 4. Let r be u(0). Give r*i(k) + 2*p(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6781 is divided by 212?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8347, 8358, 8385, 8434, 8511, 8622, 8773?\n\"Answer: b**3 + 2*b**2 - 2*b + 8346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 - 254 + 6*k**2 - 9*k**2 + 250 - 7*k**2.\nAnswer: -15*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19657577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 205560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1731*o + 434?\nAnswer: 1731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18662635351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8557.\nAnswer: 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -335, -765, -1209, -1673, -2163, -2685, -3245, -3849?\n\"Answer: -q**3 - q**2 - 420*q + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04029077315 to three decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 33, 227, 683, 1509, 2813?\nAnswer: 4703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -483 = -1117*l + 1096*l. What is the highest common factor of l and 7130?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 22880*q - 45764.\nAnswer: (q - 2)*(q + 22882)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -188432 or -188434?\nAnswer: -188432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257179987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 65 = -3*h, -2*b = 3*b + 5. Suppose -20*j = -h*j + 418. What are the prime factors of j?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.549, 3, 4, 10, 2\/17 in increasing order.\nAnswer: 2\/17, 0.549, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11400644 is divided by 668.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-19)*o*o**11\/o*o**(2\/29)\/o**(-8))**16 assuming o is positive.\nAnswer: o**(18128\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/2 - (14 - (-2 - -10))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.86 - -0.56. Which is the closest to t? (a) -0.3 (b) 0.3 (c) 5 (d) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, d: 1, m: 12}. What is prob of picking 1 d, 1 m, and 1 t?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8231 + 206052. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 7:02 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92275395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4259.19571 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -15*h**2. Let f(u) = -3165*u. What is f(j(t))?\nAnswer: 47475*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 118. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*x + 20*x + 6*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 + 370*k**3 - 15272*k**2 + 29438*k - 14535.\nAnswer: -(k - 323)*(k - 45)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*l = 7*l + 16, 3*l + 6 = 0. Suppose 0 = 4*t + h - 5*h - 12, u = -h. Which is the closest to t? (a) 1\/3 (b) 3\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575680 is divided by 1187?\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97\/51 + 7\/102. Let n be (14\/(-4))\/7*2. Which is greater: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -4 + 18 - (6 + -3 + -11)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -9.31 greater than -2141\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j**2 - j + 3. Let d be g(3). Let f = -291\/4 - d. Which is the closest to -2? (a) f (b) -0.5 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16811\/3 - 5604. Which is the nearest to i? (a) 0 (b) -4 (c) 2\/11 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -602 - -648 - (27 + -1) - 31.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -8*v**5\/9 + v**4\/9 + 40*v**3\/9 - 5*v**2\/9 - 32*v\/9 + 4\/9 = 0.\nAnswer: -2, -1, 1\/8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 7) to base 15\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2616+-489\nAnswer: 2127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 20910.\nAnswer: 20910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10364?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 814285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -313434 bigger than -313419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3 - 68848102*g**2 + 68848105*g + 137696206 = 0. What is g?\nAnswer: -68848103, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + -14 + 12 + -7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/6*(518 + 0)\/1. What is the remainder when (-6)\/(-27) + z\/(-9) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4, -24, 0, 11960.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 98?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105.4 + 105. What is the nearest to d in 21\/4, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -5*r**6\/6 - 7*r**5 + 75*r**4\/4 + 275*r**3\/3 - 35*r**2 - 240*r - 197. Determine t so that c(t) = 0.\nAnswer: -8, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.4, -4, -5, -1, -20\/21, 8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 494 - 501 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 6, 0 = -4*v - 3*a + 911 + 176. Let s be (v*(-2)\/(-4))\/3. Let c = -44 + s. Find the common denominator of -87\/10 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372893892?\nAnswer: 2, 3, 7, 4439213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 + 4357*u - 4357*u.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -236 divided by 1362?\nAnswer: -118\/681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -748.\nAnswer: 2992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-2\/15)\/a*a)**28\/(a*a**(2\/23)*a**(-18)))**(-41) assuming a is positive.\nAnswer: a**(-978547\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1900 - -5245. What are the prime factors of c?\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 - 4*o**2 - 4. Let v(x) = -3*x**3 + 66 - 37 - 5*x**2 - 34. Calculate 4*v(n) - 5*y(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**3*z + 12*c**3 + 64*c**2*z**4 - 3*c wrt z.\nAnswer: -c**3 + 256*c**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 0) + 8 + 6 + (-25 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/5)\/(((-52)\/(-140))\/((-3822)\/(-735))). Factor 8\/5 + 4\/5*u**3 + 3\/5*u**2 - 1\/5*u**4 - i*u.\nAnswer: -(u - 4)*(u - 1)**2*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72*f**2*k - 89*f**2 - f*k wrt k.\nAnswer: -72*f**2 - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -212 - -13?\nAnswer: -1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/6)\/(-5)*8\/(-4). Let p be 3 - (3\/(3\/3))\/s. Suppose 9*j - 196 - 146 = p. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/4, -0.4, -0.24, -16266 in descending order.\nAnswer: 0, -0.24, -1\/4, -0.4, -16266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f - 14 = 3*u, 4*f + 4 = -3*u. Suppose 22 = b + f. Calculate the greatest common factor of b and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eceecrecceecccr. Give prob of picking 2 c, 1 e, and 1 r.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 18 + 3 = 0. Let g(f) = -3*f**2 - 7*f - 4. Let q be g(-5). Let m be q\/(-10) + 4\/(-10). Solve o - m*o + v = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/168 and -79\/210.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 6225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 11*g**2 - 11*g + 1. Calculate i(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*f**3 + 6290*f**2 - 11576*f - 2104.\nAnswer: 2*(f - 2)*(f + 526)*(6*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 952 divided by 28?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -13 - (13 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**2 - 16*m**2 + 11*m**2 + 7*m**2 + 9*m**2.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12139?\nAnswer: 61, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 8:15 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2 - 2)*(-5*o + 5*o - o)*((-1 - 3 + 2)*(-5*o**3 + 4*o**3 + 3*o**3) - o**3 - 3*o**3 + 6*o**3).\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 66106678 divided by -72406\nAnswer: -913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4242934513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*l + 17. Let c = 0 - -0.4. What is the biggest value in -4, c, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -29 + -1 + (-8 - -2) - -12\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49869.72ns to minutes.\nAnswer: 0.000000831162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -149*h**3\/3 + 32*h**2 + 120. Find the second derivative of s(r) wrt r.\nAnswer: -298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l + 2. Let r be f(0). Let i be (-24)\/30 - (168\/(-5))\/r. What is the greatest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -5\/7, 2\/9, -1, 5, 63\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**4\/24 - 5*x**2. Let a(g) = g + 4. Determine -a(w) + 2*h(w).\nAnswer: w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 20*c - 11. Let s be l(1). Let i be 6\/18 - 4107\/s. Round i to the nearest 10.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**3 - 135*m**2 + 138*m + 44. Calculate g(-46).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a - 6. Let w be o(3). What is the hundreds digit of (-1 - 0)*(3 + w*-52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-1 - -3) - 1. Suppose 0 = -q + 16 + 1. Let h = q + t. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 17476*h. Let w(t) = -2*t. Give c(w(f)).\nAnswer: -34952*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1409, -6197, -14375, -25943?\nAnswer: -40901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -9 - (36 - 19)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g + 3*g + 1747*g**2 - 385*g**2 - 5*g to the form v + r*g + i*g**2 and give i.\nAnswer: 1362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 19*d = -126. Let c be ((-32)\/24)\/(4\/d). Factor -1\/4 - 1\/4*r + 1\/4*r**3 + 1\/4*r**c.\nAnswer: (r - 1)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**2 + 16*j**2 + 7*j - 12*j**2 - 3. What is o(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10975378709 and -6076.\nAnswer: 10975372633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 3 + 3)*(641*r + 2210 - 8384 - 4457 - 643*r).\nAnswer: 2*r**2 + 10631*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 + 82. Solve -4*o + y = 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -96\/12261049?\nAnswer: -96\/12261049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4386 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/30 + (-16)\/6. Let y be o + (-1)\/(1\/(-6)). Let u = -9 - -14. Solve -3*v = 0, 0 = -0*n - y*n + u*v - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u = 8. Let o(j) be the second derivative of 0 + j**2 - 1\/3*j**3 - u*j. What is the first derivative of o(b) wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 641637\/40 - 16040. Find the common denominator of t and 77\/136.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 10, 20, 28, 34, 38?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2 = -2. Is (-105)\/(-7) + (2 - a) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p**2 + 0*p + 0*p.\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1470)\/(-4655) - (14\/21 - (-6)\/(-9))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9804298, -19608605, -29412912, -39217219, -49021526?\nAnswer: -58825833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/5)\/((-107)\/535).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -69, -180, -369, -636, -981?\n\"Answer: -39*j**2 + 6*j - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**3 + 4*u**2 + 4*u + 4. Suppose 3 = 3*j + 2*r - 0, -7*j = -r - 7. Let y(p) = -p**3 + p**2 + p + 1. Determine j*w(k) - 4*y(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -36. What is the lowest common multiple of d and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 48 - 25 + 5*f)*(-2*f**2 - 2*f + 2*f).\nAnswer: -10*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -11.3029268073\nAnswer: 11.0029268073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 62 = -5. Calculate the remainder when 2 + j\/((-9)\/(-672)) is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 4*g = -6. Suppose 3*y = g*j - 99, -3*j = j + 3*y - 225. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 37 = -3 + 5 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4809 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(833) + sqrt(833)*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 + 0*g**2 - 5*g**2 - 2*g**2 + 0*g**2 + g**2 + (5 - 5 + 2*g**2)*(-3 - 3 + 4) + g**2 - 4*g**2 + 2*g**2 + (-3*g + 6*g + 4*g)*(-4*g - g + 4*g).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(153) + 2 + -5)*-6)**2.\nAnswer: -2592*sqrt(17) + 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ommgmgzmommgmg. Give prob of sequence oo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22846688 to the nearest integer?\nAnswer: 4780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1536*u**2 - 17*u**3 - 1197*u**2 - 339*u**2.\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7d8d (base 14) to base 5\nAnswer: 1200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2\/11, 1\/2, 3, -1.431, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-221)\/(-25) + 39*5\/845*-39.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1340 divide 125080960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3*m**4 + 0*m**2 + 0*m + 0 + 2\/3*m**5 + 2\/3*m**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 17. Let y(t) = 25*t + 16. Let q(i) = i + 1. Let z(m) = 3*q(m) - y(m). Is z(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/275)\/((-6213)\/(-45562))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 38.9, 54, -5, 2 in ascending order.\nAnswer: -5, 2, 38.9, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 8*n**2 - n + 50. Give a(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101122010120 + -12001?\nAnswer: -2101122022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -243 + 245. Calculate the greatest common divisor of 4 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4016*i + 38822 = -19235 - 106223 - 140936 for i.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - 80. Let j be (-3)\/(1\/((-6)\/(-9))). Let f = 4 - j. Solve n*a = f*a + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1327*k**4 - k - 2*k**3 + 0*k**3 + 1261*k**4 - 2 + k**3 to the form z*k + s*k**3 + p + i*k**2 + b*k**4 and give b.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -518826, -518841, -518862, -518889?\n\"Answer: -3*u**2 - 6*u - 518817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/8 + -297\/40. Let v be (-1 - 6\/16)\/((-47670)\/64708). Let g = v + 1\/4540. Calculate the common denominator of o and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 10*p**2 + 4*p - 4. Let j be b(10). Let k be -51*22\/66 + 83. Calculate the greatest common divisor of j and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36138 + 74731. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f, 2*c + 0 = 2*f - 4. Put c, -4, 124 in descending order.\nAnswer: 124, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -18*230\/(-207) + 12\/(-2). Let z(d) = d**2 - 16*d + 11. Give z(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.21 + 0.11. Let x be 10\/14 - 6\/3. Let s = -13\/21 - x. Put s, o, 1\/5 in descending order.\nAnswer: s, 1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 7*o + 5. Let d be v(-5). Suppose -4*h + 2*q + d = 0, -3*h - 4*q + 6 = -9. Solve -13 = 2*w - 5*p + 10, p = -2*w - h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*z + 5803 - 6283 = 0 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -532*m**4 + 1058*m**4 - 61*m**6 + 9*m**2 - 529*m**4 + 7*m**2 wrt m?\nAnswer: -7320*m**3 - 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 + 5*x - 5. Let f(r) = -10*r**2 - 16*r + 16. What is 5*f(l) + 16*w(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 11 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -69*m**2 - 457*m + 457. Calculate w(1).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 - 170*r - 1048. What is f(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -28*a**4\/5 + 692*a**3 + 4988*a**2\/5 + 300*a = 0.\nAnswer: -1, -3\/7, 0, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 8250*v**2 + 8511936*v - 8503688.\nAnswer: 2*(v - 2062)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 1224.672?\nAnswer: 1224.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790604?\nAnswer: 2, 197651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 64, 11, 5, 3, -5 in ascending order.\nAnswer: -5, 2, 3, 5, 11, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 5. Let s(o) be the third derivative of o**4\/24 + o**3\/3 - 2*o**2. Let x = -2 + -3. Determine x*s(r) - 2*u(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1235, 1262, 1291, 1322?\nAnswer: 1355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73521348 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3375\/11 - 307. Sort i, -1, 0 in ascending order.\nAnswer: -1, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j - 104. Let c be d(26). Sort -1, 15, c in ascending order.\nAnswer: -1, c, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 9. Let u(v) = -4*v + 19. What is 13*q(r) + 6*u(r)?\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3379138*c**4 - 31172*c - 10 wrt c.\nAnswer: -40549656*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 3) to base 6\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 7*l. Let u be s(-5). Let c(m) = 1 + u*m**2 + m**3 + 8 + 7*m - 10. Is 4 a factor of c(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30429, -30435, -30439, -30441?\n\"Answer: j**2 - 9*j - 30421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000011000000001000100 (base 2) to base 3.\nAnswer: -22002002110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 6. Let t be 12\/18*(1 - k). What is the units digit of t\/5 + 186\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*k*o**2 - 42*k*o + 2*o**2 + 22*o with respect to k.\nAnswer: -4*o**2 - 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 2, 1.3, 1\/2 in descending order.\nAnswer: 2, 1.3, 1\/2, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 25 = -6*n, 3*d - 1138 = -4*n. Suppose a - 4*a + 2*l = -d, 500 = 4*a + l. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l = -r + 22*l + 34, -2*l = 4*r - 108. Suppose -3*d = d. Suppose d*h = -h + 56. Calculate the highest common divisor of h and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -199\/56610 and -13\/9990?\nAnswer: 169830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.03 + -0.03. Let o = 45\/362 + 827\/18100. Let r = o + 2\/25. Which is the second smallest value? (a) -5 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -8. Is 112\/k - (-2)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -123.251 - -0.251. Let k = z + 122.999999178. What is k rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -302974858.455999177 - -302974860. Let h = 8371.544 + -8370. Let l = z - h. What is l rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7851, -7820, -7775, -7716, -7643, -7556?\n\"Answer: 7*g**2 + 10*g - 7868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58*-50291.\nAnswer: -2916878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 5*q - 11. Let o(r) = -r + 0*r + 1 + 1. Let k be o(q). Calculate the greatest common divisor of 88 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 231 (b) -2\/13 (c) -83 (d) 0.1 (e) 21 (f) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 139?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850114 a multiple of 437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -598851 divided by 23.\nAnswer: -26037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*x**4 + 17*x**4 + 18*x**4 + (0 - 1 - 2)*(-19*x**4 - 19*x**4 + 73*x**4).\nAnswer: -133*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 632 - 627. Solve -r = 0, -x*m - 5*r + 2 = -13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/5 - (0 + 0))*(326 + -326). Solve -2*y - 4*q + 10 = 28, m = 4*y - q + 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 - 1. Put -3\/2, 2\/13, h, 0.2 in decreasing order.\nAnswer: h, 0.2, 2\/13, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 110, 146, 162, 152, 110?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.1286 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 + 8*t + 6. Let q(d) = 2*d**2 + 4*d + 3. Let i(b) = 5*q(b) - 3*r(b). Let g be i(4). What is the third biggest value in 0.5, g, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-970*n + 14*n**2 + 970*n)*(-4 + 2*n + 4 + 1) in the form y*n + q + d*n**3 + m*n**2 and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 9*r = -11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 319 + -304. Let n = -108 + 221. Let p = n + -68. Calculate the greatest common divisor of p and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 22.00218 months?\nAnswer: 1.833515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 48708924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 364, 356, 334, 292, 224?\n\"Answer: -w**3 - w**2 + 2*w + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -7. Suppose -d*m + 4*b + 35 = m, -5*m - b = -10. What is the derivative of 4*t**m + 0 - 4*t**3 - 6*t**4 + 3 wrt t?\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbxxxxxxxxxbbb. Give prob of picking 3 x.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, n: 2}. Give prob of picking 2 n.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 9. Let m(q) = -q**3 + 5*q**2 - q + 5. Let d be m(b). Find the second derivative of n**4 + d*n**4 - 11*n + 13*n wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.15 and 19925209241.\nAnswer: 19925209240.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 216 = 2*q, -f + 2*q - 549 = -6*f. Suppose 4*h - h - f = 0. List the prime factors of h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-3) - (-10)\/30. Which is the nearest to 0? (a) -0.2 (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1122 (base 4) to base 16\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 5*f - 10, r + 4 = 4*f + 12. Let v be 2 - ((-18)\/(-6) + r). Which is smaller: 4\/23 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -30. Suppose 0 = -2*h - h + j. Suppose 2*a + a - 3*f - 45 = 0, 0 = -4*a - 5*f + 60. Solve 2*p + p + a = -d, -4*d - 32 = h*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kskksk. What is prob of picking 1 s and 2 k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1153 - 1057. What is the highest common divisor of q and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4\/4 + 29*m**3\/4 + 83*m**2\/2 + 34*m = 0.\nAnswer: -4, -1, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -16*p**2 - 20*p - 9. Let u(j) = -3*j**2 - 4*j - 2. Let m(h) = 2*q(h) - 11*u(h). Is m(-7) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, 18, 13, 8, 3?\n\"Answer: -5*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**2 + 2*p + 5. Let b(a) = 9*a**2 - 3*a - 8. Let c(r) = -5*b(r) - 8*g(r). Let w be c(1). Factor 4 + 5*u**2 + 0*u**w - 6*u**2.\nAnswer: -(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j. Let v(y) = 19*y - 4. Let w(r) = -9*t(r) - v(r). Let p(z) = 33*z. Calculate p(w(o)).\nAnswer: -33*o + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3218 times 2?\nAnswer: -6436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 3*v**2 + v - 12. Suppose -n + 5*x + 3 = 0, 3*x + 9 = -4*n - 2. Let o(d) = d**2. Let q(z) = n*o(z) - t(z). Let g = 2 + -2. Calculate q(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6883793 and 84.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -3, 17 in increasing order.\nAnswer: -18, -3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6055245 and 799.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 30.2. Let q = -2.02 + 2. Let o = 3.02 + q. Sort y, 0.3, o in ascending order.\nAnswer: y, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * -0.8.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14937 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: Simplify (l**(4\/5))**(9\/7)*l*(l*l**(2\/37)*l)\/l*l*l**(-1\/39)*l assuming l is positive.\nAnswer: l**(255403\/50505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 231 = -361. Suppose -21758 + 21588 = -10*t. Calculate the remainder when s is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04089682 rounded to 4 decimal places?\nAnswer: -0.0409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 5, -179, 4, -2\/17, 14.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -k + 10, -3*t + 116 - 108 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 8*q - 25. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 3, o: 3, a: 2, c: 1, g: 1, e: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1156)\/(-96) - 12)*-4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1404 - 15420\/11. Calculate the common denominator of t and ((-87)\/54)\/((-2)\/6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32506 - 5936 + 48353 + 151288 = 4813*c for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Suppose -f*n + 25 = 3*y, -n + 4*y + 51 = 4*n. Suppose -3*i - 5*h + 22 = 0, 5*i - h - 12 = 3*h. What is the least common multiple of n and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26\/27? (a) 0.01 (b) -0.3 (c) 0 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/6*(-4)\/(-2). Suppose -w*o = -v - 3, -o + 1 = -2*v + 7*v. Let k be o - 23*(-9)\/3. What is the highest common divisor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(4 - 192\/42). What is the highest common factor of 2 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*q*t**3 + 1613*q - 3411*t**2 - 8 wrt t.\nAnswer: -24*q*t**2 - 6822*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -345 + 345 - 49*u + (2*u + 2*u - 6*u)*(-1 + 1 - 1) + u - 3*u + u - 2*u - 3*u + 3*u.\nAnswer: -50*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -203971640*k**5 + 6014*k**2 - 195*k - 3.\nAnswer: -12238298400*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -107, -106, -105, -104, -103?\n\"Answer: v - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45117?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49906 + 304 = -6*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30521 - -82948. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3980 (b) 1\/8 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n + 0*n)*(-112*n + 425*n + 14*n + 2*n**4)*(0 + 3 - 4).\nAnswer: 2*n**5 + 327*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4314127 grams in tonnes?\nAnswer: 0.0000004314127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, -1, 11 in ascending order.\nAnswer: -24, -4, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11010010011010 (base 2) to base 8\nAnswer: -32232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yaya when four letters picked without replacement from {p: 2, y: 1, a: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91\/364)\/((-7)\/(-21)*3\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -65, -60, -73, -128, -249?\n\"Answer: -4*y**3 + 15*y**2 - 12*y - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91526 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16038 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 37. Sort 0.4, k, -0.3, 5 in increasing order.\nAnswer: -0.3, 0.4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26 - 24 - 41\/(-6) and 71\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 2 - 6*c**2 + 2*c - 3 to t*c + d*c**2 + l and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 6:00 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15596121 divided by -5?\nAnswer: -15596121\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - 6332080?\nAnswer: -6332068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 10*b + 21. Let i be 26\/(-4) + 10\/(-20). Let k be v(i). Let c(u) = 6*u + 111. Let f be c(-18). Solve 4*j + f - 11 = k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d - 65*d + 51*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1296*f + 128 + 202 = -1263*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 2. Let v(m) = 8*m + 10. Let d(b) = -13 + 9*b + 0*b + 8 + 17. Let x(i) = -6*d(i) + 7*v(i). Determine x(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226499, 906116, 2038811, 3624584?\nAnswer: 5663435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + s - 1. Let r(j) = 24*j**2 + 8*j - 8. Let y(f) = 8*q(f) - r(f). Let m(h) = -h. Calculate y(m(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 1. Let v(f) = 12*f**2 - f + 3. Calculate -v(x) - 2*z(x).\nAnswer: -14*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 32889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 4*w + 53*w**2 + 5*w - w.\nAnswer: 55*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 4, -12, -32?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 3131273214?\nAnswer: 3131273216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18074 + 25341. List the prime factors of g.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.79999202 - 17.8. What is b rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -36, -68, -120, -198, -308, -456?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 102\/(-33) + 3 + 0. What is the third biggest value in r, 6.94, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -2?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r + 29*r - 4*c = 3, 5*c = 5*r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s**3 - 9*s**2 - s + 5. Let j(f) = -7*f**3 - 10*f**2 - 2*f + 6. Let n(y) = -4*j(y) + 5*q(y). Is n(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 1814617973?\nAnswer: 1814617974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*z - 29, -4*h = -2*h - 2. Suppose -5*i + 12*i - 42 = 0. Calculate the smallest common multiple of i and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.1802 nanometers in kilometers?\nAnswer: 0.0000000001131802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 950432 divided by 224\nAnswer: 4243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 35*k**3 - 4. Let d(a) = -69*a**3 + 7. Determine -4*d(j) - 7*i(j).\nAnswer: 31*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 10:40 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11661 = 10*l - 5389. 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 hundreds digit of 11223892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.054 - 0.154. Let d = 218 - 212. Let g be 2\/d - (-638)\/(-87). What is the closest to 1 in j, g, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 7. Let l(v) = -15*v + 6 - p. Let m(d) = -2 - 5 - 16 + 23 + 2*d**2. Calculate m(l(w)).\nAnswer: 450*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 3955*b**4\/12 - 2189*b**3\/2 - 6321*b. Find the second derivative of k(y) wrt y.\nAnswer: 7910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 + 90. Let n = 0.07 + -0.37. What is the second smallest value in n, -1\/5, c?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16244 by -2.\nAnswer: -8122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-6) + -1*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-4))\/(4 + -6 + 42\/16). Solve -10 = -10*y + 12*y, -a*y - 13 = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from {u: 1, n: 1, s: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2389 divide 2571912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -15. Suppose 3*y = 3*u + y, 5*u + x = 5*y. Solve -p = u*p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5909 = 36*m - 13807 - 10570. What is the highest common factor of m and 2280?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 6:17 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0, -33818, -0.5, -1\/91?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g**3 + 12*g**3 + 6*g**3.\nAnswer: 34*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(3\/4)*w)\/w)\/w*w**(2\/23))**(3\/14)*(w\/(w\/w**(1\/2))*w**(-2\/5))**5 assuming w is positive.\nAnswer: w**(599\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.4 - -0.14?\nAnswer: -17.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 137\/2 + (1 + 0)\/(-2). Suppose 29 = l - z - 4*z, 4*l = 4*z + r. Solve 9*y = l*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(-57)\/(-38)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-11) + 291490\/2266. Calculate the greatest common factor of 36 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 171*u**2 - 5*u + 14. Let i be t(2). Let g = i - 8935\/13. Which is bigger: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -250953389\/3842631 + 2\/295587. Let p = z + 65. Let y = 1 + 0. Is y smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000375 to 5 dps.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26.3 + 26. What is the closest to 0.09 in 1\/5, j, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**4\/12 + c. Let z(y) = -20*y + 8. Let w(f) = -7*f + 3. Let i(u) = 8*w(u) - 3*z(u). Give v(i(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10591 and 35721.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6796278 to one decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12145)\/3*12\/4. Let n be (0 + 4 + 1)*(-4)\/10. Is (n - -1)\/(5\/x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27228 is divided by 27216?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(sqrt(500) + -3*2*sqrt(500) + 5*(sqrt(500) + -1 - sqrt(500)) + -2))**2*3.\nAnswer: 18900*sqrt(5) + 338823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/sqrt(972)*-1.\nAnswer: -sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-22 + -11 + 133)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15472.6 minutes?\nAnswer: 928356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**4 + r**4 - r**3 + 0*r**3 + (r**4 - 4*r**4 + r**4)*(7 - 3 - 1).\nAnswer: -5*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1731 - 1086. What are the prime factors of f?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6751058915?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 + 465*r - 1856.\nAnswer: -(r - 1856)*(r - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181893 = 33*g - 7728174. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 16*(-8)\/((-64)\/4) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) 3 (b) 18 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -11 + 3 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/4 - (4 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 98615683 - -32707\nAnswer: 98648390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -106186256 or -106186254?\nAnswer: -106186254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 605*t - 1297. Let l(j) = -j + 1. Let q(k) = -6*l(k) - r(k). What is the first derivative of q(a) wrt a?\nAnswer: -599","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -5, 5, 1 in decreasing order.\nAnswer: 16, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/1499, 26, 4, 2\/3?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 21 - 5 = 0. Suppose 2*l - g*m - 104 = 0, -58 = -2*l - 2*m + 38. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 25\/(-7))*((-923)\/(-204) + (-187)\/44).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 g, and 1 m when four letters picked without replacement from {m: 1, j: 6, c: 10, s: 2, g: 1}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = -6*r + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*x**4 - 236 + 236 + (-3*x**2 + 0*x**2 + 4*x**2)*(2*x**2 - x**2 + x**2) as b*x**2 + p*x**3 + f*x + j + r*x**4 and give r.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -3031323111?\nAnswer: 3031323111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*m - 7 - 25*m + 14*m.\nAnswer: 17*m - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/13? (a) -23 (b) 7.9 (c) 34 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-7 + 3) - (-3 + 2 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.616 + 0.016. Let o = l - -16.58. Let s = 0.02 + o. What is the second smallest value in 1, s, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3993 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 35*l**3 + 95 + l + 1419*l**2 - l**4 - 53 + 0*l - 1417*l**2 to the form z*l**3 + k*l**2 + h + f*l**4 + n*l and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 204, 3, 4 in descending order.\nAnswer: 204, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-151)\/604 + (-563453)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + 18396*y**3 - 2855*y**3 + 7*y.\nAnswer: 15541*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -702 + 1046*r + 702 in the form z + i*r and give i.\nAnswer: 1046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 u when three letters picked without replacement from {x: 1, u: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 - 2*d**3 + 3)*(-55*d**2 - 123*d**2 - 1084*d**2).\nAnswer: 2524*d**5 + 5048*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 548 + -544 - (-1 - 1) - (-1 + -58).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85495 + 256544 + 4*w**3 - 85524 - 85525.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3252, -6468, -9652, -12798, -15900?\n\"Answer: s**3 + 10*s**2 - 3253*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 8*m + 14 + 10*m**2 - 11*m**2 - 4. Suppose 0 = -4*b + p + 196, -3*b + 10*p + 138 = 7*p. What is the remainder when b is divided by z(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9553902 minus 26683.63?\nAnswer: -26679.6746098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 130321603 - -21?\nAnswer: 130321624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 100*c + 432.\nAnswer: -2*(c - 4)*(c + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3119*z + 131648. Give x(42).\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2727941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**5\/15 - i**4\/6 - i**3\/3 + 12*i**2. Let m = 0 - -3. Suppose -4*w + 7 = -m*n + 21, 4 = 2*n. What is g(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + 5 + (0 - -2). Suppose -31*r = -29*r - 8. Find the third derivative of -n**4 - 16*n**4 + 2*n**r + v*n**2 + 6*n**4 wrt n.\nAnswer: -216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/2863215 and -77\/10307574.\nAnswer: 51537870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 3*p**2\/2 + p - 42. Let z = -3 + 0. What is x(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 5224383.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 756238.2ng?\nAnswer: 0.0000000007562382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + (21 - 1))\/(1\/3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96*y**3 - 62*y**4 + 96 - 72*y**2 + 16*y + 60*y**3 - 53*y**4 + 111*y**4.\nAnswer: -4*(y - 1)*(y + 2)**2*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/(-192))\/((-3)\/174) - (-45)\/(-54). What is the nearest to 3 in 1\/19, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a kilogram in grams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 637.7 - 668. Let h = r - -30. Which is the second smallest value? (a) -0.2 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -463, 76, -4, -3 in increasing order.\nAnswer: -463, -4, -3, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 1\/3, 49\/5, 14610?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13023137 and 226?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 63 = 23. Let z = k + -7. Solve -6 = -p - z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001010 (base 2) in base 16?\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/4*((-24)\/5 - -5). Which is the second smallest value? (a) 1\/5 (b) l (c) 1\/4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 + -0.7. Let q = -0.45 - -0.05. Let d = 45.9 - 43.9. Which is the second biggest value? (a) w (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + 0 + -5 + sqrt(539) - sqrt(539) - (-2 + 0 + sqrt(539))) + -4 + -4 + (sqrt(539) + sqrt(539)*-1 + 2)*1)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 652225852?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 8 - 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5596 - 5601. Which is the second smallest value? (a) -1 (b) -4.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2836411*r**6 + 36859*r**2 + 507.\nAnswer: -340369320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1192310 (base 14) to base 8.\nAnswer: -40073572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1931 (base 14) to base 16\nAnswer: -11c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*n - 96*n = -793 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -w - 6*h + 5*h, 5*w - 3*h - 54 = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107880 by 5.\nAnswer: 21576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 14*d**2 + 15*d + 18. Let c be v(15). Suppose -4*z - c = -2*u - 2, 5*z - u + 23 = 0. Let s(i) = i**2 + 5*i + 3. Give s(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1782 and 116028.\nAnswer: 1044252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*v - 4*k, 0*v + 4*k = -4*v + 12. Suppose -3 = -2*d - 4*l + v, -4*d + 5*l + 42 = 0. Let s(i) = -2*i + 9. Give s(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 4 in ascending order.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -66?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 10.54 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**4\/4 + b**3\/3 + 3*b**2 + 3*b + 262. Determine a(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6113*a + 6105*a - 48 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 129746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -220, -438, -656, -874, -1092?\n\"Answer: -218*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -5. Suppose b = -3*y + 5*j - j - 19, -4*y = 2*j - 4. Let m = 8 + y. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * -142.\nAnswer: 4402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. Suppose 0*y = y + k. Let i(o) = -19*o**3 - o**2 + 1. Is i(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - s. Let z = 1294 + -1292. Determine h(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/40 and -4\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(5 - 1) + 15 + -8. Which is the smallest value? (a) 60 (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310968.\nAnswer: 2, 3, 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1277167 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-1)*(-43)\/(-129)*6\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -110*x**2 + 15 - 3*x + 53*x**2 + 18 + x**3 + 52*x**2. Let b be t(4). Solve b*n - 7 - 1 = -p, -5*n + 14 = 3*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(((-10)\/15)\/(18764\/(-6))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44 times -2?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 276852503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - x**5 - 4 + 2 + (-2*x**2 - 3*x**2 + 3*x**2)*(-13*x**3 - 8 + 8).\nAnswer: 25*x**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/5 + 1394*o**3 - 6968*o**2\/5.\nAnswer: -2*o**2*(o - 3484)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 169*c**2 + 2*c - 4. Let g(j) = -338*j**2 - 5*j + 10. Let s(w) = 4*g(w) + 10*o(w). Let l(v) = v**2. What is s(l(k))?\nAnswer: 338*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 8 (c) -82 (d) -0.07 (e) 42\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139572 is divided by 292?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(21)\/sqrt(7) + -2).\nAnswer: -12 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9*v + 87. Let f(k) = 15*k - 130. Determine 5*f(d) + 8*j(d).\nAnswer: 3*d + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(24\/(-110)) + 76\/304. Is 0.2 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/416 and 11\/52.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i - 4. Let w = -21 - -13. Let v be h(w). Suppose -2*f = -2*j - v, j + 25 + 8 = 2*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.893723ns to milliseconds.\nAnswer: 0.000004893723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.77794t in micrograms?\nAnswer: 64777940000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-59)\/((-3304)\/80))\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11015563 is divided by 275?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 4)*1\/1. Let r = 6 + -8. Let f = 3 - r. Solve -f*c + 4 = -y*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 628*g**2 + 800*g - 26544.\nAnswer: -4*(g - 158)*(g - 6)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -19, -174 in ascending order.\nAnswer: -174, -72, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -6. Suppose 5*y - 567 = -i*y. What is the greatest common factor of y and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25 - (-3)\/(9\/(-3)). Let p be 22\/(-4) - (-12)\/o. Suppose 0 = 3*d - 0*d - 12. Sort p, d, 2 in decreasing order.\nAnswer: d, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 11:25 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7.3 + 2311\nAnswer: 2318.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**2\/5 - 1464*b\/5 - 267912\/5 = 0.\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5802643 * -3.\nAnswer: 17407929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvxnnnqvxvnxvnx. Give prob of picking 2 v and 1 q.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 3*d - 4 + 54, -8*u = 3*d + 89 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-2)*(-1513)\/445.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-3))\/(-1) - (5 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 9*y**4 + 21*y**3 + 15*y**2 + 3*y = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -492*t - 39. What are the prime factors of y(-32)?\nAnswer: 3, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146795279 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 0, -4, -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19045*n - 9525*n - 48 = 9519*n + 17*m, 0 = n - m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 43, 18, -9, -38?\n\"Answer: -c**2 - 22*c + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 827221780 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -202575, 1304 in descending order.\nAnswer: 1304, -5, -202575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -16 - -11) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 63127.233us?\nAnswer: 0.0000175353425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*t + 740 = 266*t - 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10043*p**6 - 390*p**3 + 48408844*p**2.\nAnswer: -1205160*p**3 - 2340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*b + 187 + 9*b**3 - 173*b - 187.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 plus 0.8229?\nAnswer: 0.8129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/4 - 3*-1. Let n be (0 - 0\/(-2)) + x. Let q = n - -2. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3150\/30)\/21)\/(1\/(-1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(15\/6 - 3). Let k be (v\/15)\/(8\/(-18)). Suppose 7*g - 25 = r + 2*g, 4*g = -4*r + 20. Which is bigger: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*32\/(-20))\/((-2112)\/(-288))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 87740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -275, -418, -561?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**4 - 191*i**3 + 3*i**2 - 8*i + 2004849 with respect to i.\nAnswer: 4*i**3 - 573*i**2 + 6*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*r = 92 - 8 + 92 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 735 and 408?\nAnswer: 99960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than 782\/123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -0.133978.\nAnswer: -0.033978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(2 + 4\/(-3)). Suppose -3*v + 70 = -4*r, -86 = -5*v + r - 2*r. Let i be (10\/6)\/(u\/v). What is the greatest common divisor of 30 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2757 is divided by 2728.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -941*h - 33777. Suppose -57 = -6*s + 4*s - 3*k, 0 = 5*s + 4*k - 139. What is the least common multiple of w(-36) and s?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47.6 - -44. Let h = 80 - 74.1. Let w = h - j. Round w to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2095 = -378*y + 20585. Solve -64*f = -44*f - y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53\/35 - 9\/5. Let c = 1\/3 - 1\/2. Let d be ((-12)\/(-8))\/(6\/4). What is the nearest to i in c, d, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/(-220))\/(-4))\/(1\/5)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 602*y**2*z**6 + 27*y**2*z - 12*z**2 wrt z.\nAnswer: 72240*y**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -26, 0 in increasing order.\nAnswer: -26, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 22*t**2 + 49*t - 34. Let d be c(24). Let j be (d\/25)\/((-4)\/40). Let o(b) = 2*b + 3 - 1 + b**3 - 3*b - 4*b**2. What is o(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/4 (b) 0.3 (c) 6 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -353366*i**4 + 2*i**3 + 2*i**2 + 4426045*i wrt i.\nAnswer: -4240392*i**2 + 12*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -8\/9, 1\/107562, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 45*f**2 - 255*f + 17. Calculate p(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -21*i - 5. Calculate d(-5).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 531?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*c - 3, -4*c - 2 = r - 9. Suppose 36 = 4*s + 6*w - w, c*s + 5*w - 32 = 0. Sort s, 41, 3 in decreasing order.\nAnswer: 41, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 233037?\nAnswer: -233041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*h + 23 = 2*g, -21 = 5*g + 2*h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 585835 divided by 117167\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -7, 84.\nAnswer: -7, -5, -2, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -10*m**3\/3 - 635. Let t(n) = -591 + 591 - 4*n**2. Determine z(t(q)).\nAnswer: -160*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 83*x + 2482. Give p(105).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*p*u*w - 634824*p*u - 113*p*w - 633*w - 9 wrt u.\nAnswer: -18*p*w - 634824*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from {d: 1, k: 3, l: 2, g: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14911?\nAnswer: 13, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272033 is divided by 3200.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/12, 2\/3, -0.01, -95?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (32 - 15) - -48?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = n - o - 2, -6 = -3*o. Suppose r - 3*p - 7 = 6, -3*p - 12 = 0. Let v be -3*(8 - 4)\/((-3)\/(-1)). Sort v, n, r.\nAnswer: v, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uawwsnnanskukawn. Give prob of sequence ss.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1115.6222 rounded to the nearest 10?\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**3\/3 + 21*d**2\/2 - 7*d - 18. Is 13 a factor of y(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 592\/9 - 66. Let t = -21 + 20.5. Which is the nearest to 1\/2? (a) t (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 6*z**2 - 5*z - 12. Let b be i(-5). Is 8836\/4 + (b - -6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/6)\/(1\/2). Is ((-21)\/7 - -72)*1\/j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*q**3 + 1309*q**2 - 113*q**3 - 1102*q**2 wrt q?\nAnswer: -954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(13) - ((sqrt(78)*-2)\/sqrt(6))**2) - -6*sqrt(104)\/(sqrt(16)\/sqrt(2)).\nAnswer: 2*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) 10\/3 (c) 2 (d) 17927.2 (e) 3 (f) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -3*x + 3*m + 12, -2 = 3*x + 4*m. Solve -2 = x*d, -6 = 4*r - 2*d - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(72) + 1*sqrt(72)*4 - sqrt(72)) + -3*(sqrt(72) + sqrt(72)*2 + sqrt(72)) - (3 + (sqrt(72) + 5)**2)*-3).\nAnswer: 132*sqrt(2) + 298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 665 and 570.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025 minus -31.342?\nAnswer: 31.3395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*b + 213*b = -u + 4, 3*u + 2*u = 2*b + 22 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 251109422*k**2 + 271464322 wrt k.\nAnswer: 502218844*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 49 + 4\/3*z**3 + 1\/4*z + z**2. Solve b(w) = 0 for w.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 6:05 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 3:50 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-nine halves of a microsecond?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -155.194 and -76680.8.\nAnswer: -76835.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -g + 5, 6*p - 4*g + 7 = 3*p. Sort -5, 4, -2, p in descending order.\nAnswer: 4, p, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -31\/122, 5 in descending order.\nAnswer: 5, -1\/6, -31\/122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (-1 + -5 + 3). Suppose 2*v = -k + 1. Which is smaller: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2987\/680 - -1\/136. Find the common denominator of 214\/(-20) - 1 - -1 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103640529 to the power of 1\/3, to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**2 - 20*d - 69. Let p be v(-6). What is p rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50466 is divided by 2278?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*s = 5688, -2*s = 3*s - 20. Suppose -2*v - g = -4*q + 3*v, 3*v + 1413 = 4*q. Calculate the greatest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 - 50*i**2 + 7*i - 177. What is p(25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 1. Let r(x) = -4*x + 6. Calculate -5*r(b) + 30*y(b).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2221211 (base 3) to base 7\nAnswer: 6166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -226.1 + -761.9. Let h = -987.96084 - p. Round h to three decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2)*7)\/(34\/68)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9986 by -1878.\nAnswer: 4993\/939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 2*z + 2. Let w be k(-3). Let x be (-2 - -1 - -2)*w. Solve c - x = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 853020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001992 to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*t - 83*t - 15 = 0. Put -4, 31, 3, 0, t in increasing order.\nAnswer: t, -4, 0, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, m: 13}. Give prob of picking 3 m.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -2 - 6 - -17\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 3*m + 17*m + 71 + 9*m - 41*m.\nAnswer: -11*m + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtitiijnjjijjj. Give prob of sequence inj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 7:24 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away -107081?\nAnswer: 107090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -492540 by 123135.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 3*h + 4. Suppose 4*b + 3 - 15 = 0. Let o be l(b). Suppose 3*y + 0*y - 2 = o*k, 4*y = k + 7. Solve 0 = s + s + y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 294. Let o(z) = -4*z + 590. What is 6*o(m) + 13*t(m)?\nAnswer: 2*m - 282","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {w: 1, r: 2, n: 1, k: 2, c: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1591333*s + 1591333*s - 189*s**3.\nAnswer: -189*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v**3 + 10*v + 5*v**3 - 15*v**2 - 2*v**3 - 88*v + 357 + 3.\nAnswer: 3*(v - 6)*(v - 4)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1497 + 3*r + 34*r - 1497 + r**2 as x + i*r + o*r**2 and give i.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + 6*2*(-3 + sqrt(252) + -2))*-6*4)**2.\nAnswer: -86261760*sqrt(7) + 373367808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxzxxzzzzxz. Give prob of sequence xzxz.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, -6, -5\/4, -32?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -91453 and -12.\nAnswer: -91465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1240 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/116907?\nAnswer: -2\/116907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 257527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-1) - (-106)\/(-2). Let t = 55 + g. Let h be (1 - -1)\/t + 2. Solve 5*o = 3*m - 29, 4*o + m + 8 + 5 = h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -137 + 166. Suppose 6535 = c*u - 5964. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010427 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77*d**3*k**2*x - 2*d**3 + 5*d**2*x**2 - 3*d*k*x + k**2*x**2 - 2*x**2 wrt k.\nAnswer: 154*d**3*x + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017.96 rounded to the nearest ten?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -22*m + 3. Let w(c) = 966*c - 64. Let d(k) = -49267*k + 3287. Let u(x) = 3*d(x) + 152*w(x). Calculate 266*t(y) - 6*u(y).\nAnswer: -38*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 190 - 188. Factor 6\/5*h + 4\/5*h**l - 2\/5*h**3 + 0.\nAnswer: -2*h*(h - 3)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2911 + 2919. Solve -4*f = 5*o - d + 14, -o - f = 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 plus 1210?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + ((-2)\/(-10))\/(6\/20). Let b = -1.9 + -0.1. Let q = 11 + b. Which is greater: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 11 - 21)*(2 + 0 - 4)*(-m + 5*m - m).\nAnswer: 144*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 5\/4, -0.15, 1, -1.\nAnswer: -1, -0.15, 1, 5\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 56*w - 34. Is f(19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 125 = u, -5*n + 119 = -4*n - u. Suppose 3*o + n = 5*p, 3*o - 10 = -5*p + 118. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5 = 0, -2*x = -3*m - 3*x + 4. Let n(k) be the first derivative of -k**2\/2 + 10*k + 1. Let s be n(6). Solve -d = -s*y - 1 + 2, 3*d + m = -4*y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + 0 - -27*1) + -4. Suppose 9 = -9*d + r. Suppose -2*y + 5*t - 16 = 0, -5*y + 3*t - 6 = -d*y. Which is the nearest to -1? (a) y (b) 0.5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*p - 105075 + 30947 = 0. Calculate the remainder when p is divided by 104.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = 22*a - 39 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 18975587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 18*z - 58. Let s = -3 + 7. Calculate the least common multiple of h(s) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.2 and -12865?\nAnswer: -28303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11923, 48290, 109093, 194326, 303983, 438058?\nAnswer: 596545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101007 is divided by 214.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3 - 751*d**2 + 135*d**2.\nAnswer: -616*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u = 14*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -26*t - 1042. Calculate the remainder when v(-56) is divided by 47.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2229493693?\nAnswer: 7, 11923, 26713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 8*y + 5. Let g be q(7). Let x be (-2)\/(g - 14\/(-8)). Let d(p) = -10 - 12 - p + x. Calculate d(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3 + 10678*a**2 - 128444*a.\nAnswer: 12*a + 21356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*v + 4*v - 9*v**3 - 3*v**2 + 6*v**3 + 2*v**4 to the form c*v**2 + y*v + x + w*v**4 + i*v**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/9 + 218*f**3\/9 + 1876*f**2\/3.\nAnswer: 2*f**2*(f + 42)*(f + 67)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1967099328 and 28.\nAnswer: 27.8032900672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47.1 - 44008.\nAnswer: -44055.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2528243 + -0.4.\nAnswer: -0.6528243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/4)\/(518\/(-296))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5 + 90851*x**4 + 8624028*x**3 + 200386944*x**2 - 209101824*x = 0. Calculate x.\nAnswer: -90756, -48, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -0*i - 3*i - 2, -5*l - 2*i = 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 32.3 (b) -13 (c) -1 (d) -63 (e) -2\/15 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1*b**(-1\/2)\/b)\/(b\/((b**(-12)\/b)\/b)*b**4\/b))**27 assuming b is positive.\nAnswer: b**(-999\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -468 - -855. Let i = l - 6581\/17. Let m = -2.5978 - -2.6978. What is the nearest to m in 4, i, 21?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 16. Which is the smallest value? (a) z (b) 1\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -0.3 (c) 24 (d) 67\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -314 + 360. What is the least common multiple of y and 69?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a3a4 + -2?\nAnswer: -a3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.9 - -0.1. Let z = i + -15. Let g = z + 2. Put 0, 2, -0.1, g in descending order.\nAnswer: 2, 0, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 9) to base 14\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14b41b4 (base 14) to base 11\nAnswer: -5789397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.116 to the nearest integer.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7131458 - 7131362.00069. Let h = -96 + w. What is h rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 33*u**2 - 9*u + 3. Let o(a) = 99*a**2 - 25*a + 8. Determine 11*j(k) - 4*o(k).\nAnswer: -33*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-114))\/((-3)\/(-1))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + -8)*(15 - (-3776)\/(-256))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92932.\nAnswer: 2, 7, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 567778964 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3994139 and 108433.\nAnswer: 4102572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3218.18 and 0.279.\nAnswer: 897.87222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + (sqrt(208) + sqrt(208)*-1 + 1 - sqrt(208)) + (1 + sqrt(208) + sqrt(208) + 0 + sqrt(208))**2.\nAnswer: 24*sqrt(13) + 1874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-45) - (3874\/30 + 4). Let o be (-8)\/42*k\/38. Is o > 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5 = -14. Let o(x) = -x**2 + x - x**3 + 2 + 3*x - x. Let v(m) = -m**3 + m. Calculate s*v(u) - o(u).\nAnswer: -2*u**3 + u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/5*(-820)\/(-1968).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 10*u**2 + 7*u - 3. Let x be q(-6). Let m = 1082 - x. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16418715 to the power of 1\/2, to the nearest integer?\nAnswer: 4052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94070, -187921, -281752, -375557, -469330, -563065?\nAnswer: -656756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1073, -1\/135, -4 in increasing order.\nAnswer: -1073, -4, -1\/135, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h - 56*h + 9*h = 806 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*b + 2)*(4*b**2 - 2*b**2 - 3*b**2) + (0 + 2*b**2 + 0)*(b + 3*b - 2*b) + 3*b**3 - 3*b**3 + b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44210660 equal to 44210660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 7. Let w be i(2). Let c = 0.2 + 0.1. Let s = -5 + 3. What is the biggest value in w, s, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2591 + 2600 = t, 2*a - 30 = -5*t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, q: 3, b: 5, a: 3}. What is prob of picking 3 b?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24290\/8 + (-14)\/((-336)\/18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1497? (a) -4 (b) -3 (c) -1\/2697\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*u = -300*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 5 - (-42)\/2. Let o = 69 + -17. Let t = o - f. What is the remainder when t is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = -3*c + 47. Let b(d) = -d**3 - 14*d**2 - 6*d - 25. Is b(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {f: 3, e: 2, s: 5, c: 10}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 28.82581\nAnswer: 14.412905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132580654?\nAnswer: 2, 12853, 44059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -22807\/16 equal to -1425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/3456 and 131\/1728.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37622 - -74875. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 76, 79, 84, 91, 100, 111, 124?\n\"Answer: w**2 + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12566 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 59294303 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -0.138 (b) -4 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/20 and ((-4376310)\/(-4033700))\/(-3) + -4*(-1)\/11.\nAnswer: 73340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.19997008 + 9.2. Round g to 6 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9959.965 nanograms?\nAnswer: 0.000000000009959965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2964.1 and 8739?\nAnswer: -25903269.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8360578351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1783414 and -9\/3566828.\nAnswer: 3566828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272, -293, -314?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 220*k**4*p**2 - 2*k**2*p**2 - k - 21*p**2 + 3 wrt k?\nAnswer: 2640*k**2*p**2 - 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -63, -1, 10 in decreasing order.\nAnswer: 10, 0, -1, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 104*r. Let w(a) = -171*a**2. What is n(w(i))?\nAnswer: -17784*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k - 64. What is n(-9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.058 - 1.402. What is u rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/7)\/((70200\/315)\/30)\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:09 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101101 - -10001011111001?\nAnswer: 10010110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 12. Let u be 6 + (m - 0) + -1843. Let l = u + 22051\/12. Calculate the common denominator of l and -1\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 60. Factor 25*f**2 + 9*f**2 - 5*f**3 - t*f**4 + f - 9*f**2 - 16*f.\nAnswer: -5*f*(f - 1)**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -s + 12*l - 7*l - 40, 0 = 2*l - 10 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - b = 42, b + 4*b = 15. Solve -16*p = -x*p + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26 - 12*l**2 - 2*l + 4*l**3 + 6 - 34*l.\nAnswer: 4*(l - 5)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -71*u**3 - 971*u**2 - 358*u. Let p(d) = -59*d**3 - 971*d**2 - 358*d. Let n(w) = 6*p(w) - 5*y(w). Find the second derivative of n(s) wrt s.\nAnswer: 6*s - 1942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x = -31*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tte when three letters picked without replacement from ttteeteeeeeeee.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a factor of 142450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1126 = 13*z + 1048. Factor -9\/5*p**2 + z*p - 9\/5.\nAnswer: -3*(p - 3)*(3*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 8\/51?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7344 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 506241840 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 10*f**2 + 10*f - 12. Let h be k(-11). Let i(t) = -10*t + 2 + 3*t - 1. Is 4 a factor of i(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 2\/7, -1, 174430, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgrr when four letters picked without replacement from rgrrrrg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d\/d**(2\/7)*d*d)\/d*d)\/(d\/((((d*d*d*(d\/d**12)\/d)\/d*d)\/d*d)\/d)))\/((d**(-2)*d)\/d**(-1\/3)) assuming d is positive.\nAnswer: d**(-118\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 319 from -0.09.\nAnswer: -319.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 830274 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 5*t - 12, -210*t + 209*t - 5*g - 2 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 228400877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2 = -7*c, 5*n = 2*c + 28. Let s(f) = 9*f**2 - 8*f**2 - 14*f**2 + 8*f**2 + n*f**2. Let d(u) = 50*u. What is d(s(a))?\nAnswer: 50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0056618633 to 4 decimal places.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/25)\/(-3))\/(-1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -606 (c) 2 (d) 1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -217\/62700 and 119\/233970.\nAnswer: 44454300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2257806708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 2\/15 (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -521*u**2 + 8326*u + 188. Calculate r(16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 + 19*n**2 + n - 20*n**2 - n.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 353, 352, 351?\n\"Answer: -s + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30994464 to the power of 1\/2, to the nearest integer?\nAnswer: 5567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*b + 66. Let t be (-3)\/(b\/8 - -2). Suppose -t*i + 72 - 24 = 0. Calculate the remainder when 35 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 16471?\nAnswer: 16473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21075 and 925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134932 is divided by 54?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 5*s - 15*s)*(-4*s + s - 2*s)*(-3 + 2 - 2).\nAnswer: -270*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ooyooyyooyooy.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((1\/105)\/((-463)\/(-3241)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 177575?\nAnswer: -177575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17613 and 1800801.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -139120000 to the nearest 1000000.\nAnswer: -139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -200 + 224. Suppose 29*d = l*d + 2775. Is d a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1873 + -1899 - (1 + -1 - (-2 + 1)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = 3*w - 98. Let h be 356\/104*-2 + w. Which is greater: h or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 + 0*g**4 + 0*g + g + (-3 + 3 + 4*g)*(-g**3 + 3*g**3 - g**3) + 4*g**2 - 4*g**2 - g**4.\nAnswer: 6*g**4 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 835*y + 3420.\nAnswer: -5*(y - 171)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -73, -133, -197, -253, -289, -293?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3 + 1 + 56784*b**2 - 2990*b**2 + 88706*b**2 - b. Let v(x) = x. Let m be v(-2). Let y be r(m). What is y rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 33807.3 minutes?\nAnswer: 2028438000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from etteeeeeeee?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6 + 96*u**3 - 101*u**3.\nAnswer: -5*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Suppose -n - 140 = -156. Let v(r) = -n + 41 + 2*r - 25. Let k(s) = -4*s + 1. Calculate y*k(a) + 5*v(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from {m: 1, p: 1, k: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26061 and 483.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 14444132 (b) 0.3 (c) -3\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -36*s + 99. Solve 9*j + 4*x = s*j, -j = -x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 210 + -112. Suppose m = o - 5*q + 22, -o + q = -92. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34897 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 0*z - 1\/5*z**5 + 0*z**4 + 0*z**3 - z**2 + 3. Find the second derivative of l(s) wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 2 (c) 4 (d) 0.94 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -184*v + 69 - 171 - 180*v + 377*v + v**2. Calculate the smallest common multiple of i(12) and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3, 3, 17, 45, 93, 167, 273?\n\"Answer: a**3 - 2*a**2 + 5*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -5 + 7 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-18))\/(10\/90). Let p(l) = 16*l + l**3 - 2 - 25*l**2 - 2 + 1 + 8*l**j. Let v be p(16). What is v rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d**4 + 15*d**3 - 24*d**2 - 24*d - 6. Let j(s) = 10*s**4 + 16*s**3 - 25*s**2 - 24*s - 7. Let z(t) = 7*h(t) - 6*j(t). Factor z(w).\nAnswer: 3*w*(w - 2)*(w + 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/(-35)*20\/(-12). What is the second derivative of -1 - 2*q**3 - 7*q**2 + 5*q**3 - 4*q**2 + 0 + 12*q**n - 26*q wrt q?\nAnswer: 18*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36544 and 96?\nAnswer: 109632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggxgfbfxgggffggbf. What is prob of sequence xx?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*i - 4*i**2 + 3*i**2 - 4*i**2 + 31*i)*((0 + 4 - 2)*(-1 - 1 + 4) - 9 + 9 + 21 - 1 - 4 + 6).\nAnswer: -130*i**2 + 260*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -771263633?\nAnswer: -771263633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 159*i - 2. Let f be 10\/14 + 2\/7. Is r(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {k: 7, f: 3, y: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4 - 601*f**3 + 1214*f**2 + 4824*f = 0. What is f?\nAnswer: -603, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + 0.3. Let s be ((3105\/(-60))\/(-69))\/((-15)\/(-12)). What is the nearest to -2 in a, 1.2, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26837.\nAnswer: 47, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11076097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*v**2 - 5*v**2 + 5*v**2)*(3 - 3 - 2*v**3) - 5 + 5 + 2*v**5)*(2 - 2 - 2) - 3*v**5 + v**5 - 4*v**5.\nAnswer: -26*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, 233, 1072, 2695, 5354, 9301, 14788, 22067?\nAnswer: 31390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**3 + 4*w. Let m be (-13)\/26 - (-18)\/(-4). Let d(k) = 4*k**3 + 9*k. Give m*a(i) + 2*d(i).\nAnswer: -2*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11502260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.35 - -0.6. Let l = s + 0.05. What is the closest to -2\/7 in l, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 4, l: 2, n: 3, y: 2, c: 6}. What is prob of sequence dy?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/39 (b) 3\/4 (c) -9 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/(-24))\/(144\/192).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 + 7*v**3 - 22*v**3 + 6*v**3 + 210 + 8*v**3 to the form j*v**2 + t + q*v**3 + w*v and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4907*n + 7 + 6 - 13.\nAnswer: -4907*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -4)*(-5)\/4. Let b = k + 5. Suppose r + 0*r - 1 = b. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 179442657*w + 62661061.\nAnswer: 179442657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = w + 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -71, -65?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000610897 to six decimal places.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16346118?\nAnswer: 2, 3, 19, 143387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lemlmelplvmwmlel. Give prob of sequence vem.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -111101 (base 3) to base 7\nAnswer: -1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2469 = -241*v - 423 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 2*y = -15, -5*f + 5*y = -25. Calculate the lowest common multiple of f and 2\/13 + 11\/((-858)\/(-768)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + s**2 + 2*s + 5. Let g be p(0). Solve 0 = -3*b - 3*y + 6, -g*b = 4*y - 8*y + 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -321*g**4\/2 + g**3\/3 - 479*g + 184. Find the first derivative of z(t) wrt t.\nAnswer: -1926*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-50)\/3)\/((-136)\/73652160). Round g to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 2*x. Let c = x - -1. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -551, -1122, -1729, -2390, -3123, -3946, -4877, -5934?\nAnswer: -7135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -11*u**2. Let i(m) = -4*m + 7. Let h(k) = 3*k - 5. Let a(z) = 7*h(z) + 5*i(z). Calculate x(a(t)).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 555926 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*d + 1 + 16*d + 0 - 2 to the form u + f*d and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 405 = 910. Let w = i + 363. Is w a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 1 + 4 - 36)*(3*y**2 - y**3 - 3*y**2).\nAnswer: y**4 + 33*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 11*k**2 + 4. Let i be h(11). Let w be (-7 + 1 + -261)\/(-1). Let c = -264 + w. Solve -c = -i*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3696\/29 at most as big as 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(0*g**5 - 2*g**5 + g**5) + (-5*g**3 + 29*g**2 - 29*g**2)*(7*g + 5*g - 9*g)*(4 - 4 + g).\nAnswer: -13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 329, 688, 1029, 1340, 1609, 1824?\n\"Answer: -2*d**3 + 3*d**2 + 364*d - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1041*s + 2823 = -18*s - 305 - 1987. Let t be (-16)\/(-10) + (-4)\/(-10). Solve -u - s = -t*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.046*-0.463394.\nAnswer: -0.021316124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21220312 is divided by 7073436.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4 - 16. Suppose -7*f + 83 = 27. Suppose o*q - 2*q = f. Solve -b + q = -y, -3*b = 2*y - 11 - 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -34. Let s = 88 + l. Let p = 64.99944 - s. What is p rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 16*m**2 - 7*m + 2. Is u(2) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 4 = -4*m, -30*m - 5*h - 3 = -27*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 2)*(-9 - 7*i**2 + 9) + (i - 4*i + 2*i)*(1 - 1 - i) in the form g*i + p*i**2 + j and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-2*-1 - -6*(1 + sqrt(19)))**2 + sqrt(114)\/sqrt(6) + sqrt(19) + -1 + 3.\nAnswer: 98*sqrt(19) + 1254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (2 - 0) - (-477)\/106.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.533277 micrometers to kilometers.\nAnswer: 0.000000003533277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291211943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 5, 2\/5, 34.856, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.67 (b) 2\/9 (c) -14 (d) -1\/2 (e) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -387 - -541. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.16 + 0.13. Let p = -0.05 + w. What is p rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1402441*c**2*r**4 - 8*c**2*r**2 + c**2*r - 318*c*r**2 - c*r - 12*r**2 wrt r?\nAnswer: -33658584*c**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-6)*((-6)\/(-3))\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11227, 22438, 33649, 44860, 56071?\nAnswer: 67282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**7\/525 - b**5\/75 + b**3\/15 - 23*b**2. What is x in z(x) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, z: 1, g: 8, i: 6}. What is prob of sequence zge?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, a: 9}. Give prob of picking 2 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6792 = -h + 16011. Let q be h\/(-6)*2 - -1. Round q to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4369, -8723, -13059, -17377, -21677?\nAnswer: -25959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 427404 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.3 - -22.3. Let l = -34.6 + 20. Let p = l - -15. Sort q, p, 0.3 in ascending order.\nAnswer: 0.3, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1586*t**2 - 9*t + 6213. Let w(l) = -3182*l**2 + 20*l - 12427. Let c(r) = -11*f(r) - 5*w(r). Find the first derivative of c(u) wrt u.\nAnswer: -3072*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -8\/13139 (c) 2\/293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (13 - 1)\/3. Suppose 4*h + d - 13 = 0. Factor -h + z**2 + 2 - z**5 + 3*z**4 - 3*z**3.\nAnswer: -z**2*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3476 greater than or equal to 0.35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2 - 2*z - 3. Let f be u(-2). Let v = -5 - f. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c. Let v(s) = -4*s. Let n(g) = g. Let d(k) = -2*n(k) - v(k). Calculate q(d(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.75 + -8.65. Let u = -7 - n. Let s = -4.9 + u. What is the smallest value in 0, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b - 24*b - b. Let m(y) = -2*y**2 - 6*y. Let x(l) = -4*l**2 - 14*l. Let n = -91 - -98. Let j(o) = n*m(o) - 3*x(o). Determine j(p(s)).\nAnswer: -1682*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.125683 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96 - -736. Suppose 6*i + 4*i - b = 0. What is the greatest common factor of i and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -277547495*-5.\nAnswer: 1387737475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -67106251?\nAnswer: -67106251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x, 3*c + 5*x - 44 = 64. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3\/4, -0.06, 3, -63 in decreasing order.\nAnswer: 3, 2, 3\/4, -0.06, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) -5\/163 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2317 and -0.001.\nAnswer: -2.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1025695 - 0.06220988\nAnswer: 1025694.93779012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 2:51 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(1\/3)\/((-12)\/72)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 501066119?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77891290\/26270 - (-4)\/(-142)?\nAnswer: 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001489 to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 38*w**2 + 322*w + 74. Let d be x(25). Sort 5, d, 0, 215.\nAnswer: d, 0, 5, 215","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 273 and 159894.\nAnswer: 2078622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-24) + (-7)\/12. Let m be (58\/6)\/((-416)\/12) - 46\/(-368). Which is the closest to x? (a) 5 (b) m (c) 1\/2 (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 4*p. Let x(l) = 270*l + 0*l**2 + 2*l**2 - 265*l. Let s(q) = 5*g(q) + 4*x(q). Let j(b) = -2*b**2. Calculate j(s(r)).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31223, -62798, -94721, -126992, -159611?\nAnswer: -192578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + u + 17 = -4*u, -3*u - 21 = -3*o. Solve o = 4*r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and -617563.\nAnswer: -14821512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105444499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.4, 4, 90, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -3*p + 19, 5*p - 7 - 19 = r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -292 and 4.\nAnswer: -1168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9465216 + 5024*f - 2\/3*f**2 = 0. Calculate f.\nAnswer: 3768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-164)\/(-24) - 13\/(-78)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**8\/420 + r**7\/210 + r**3 - 7*r**2. Let x(p) be the first derivative of h(p). Factor x(i).\nAnswer: -4*i**3*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76 - -46. Let j be (1\/3)\/((-2)\/t). Find n such that -9*n**2 + j*n**2 - 5*n**2 - 4*n - 3*n**2 = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 327411 and 2520?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 49 - 184100*p**3 - 6.\nAnswer: -184100*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*q**4 - 6*q + 4*q - q**4)*(-2 + 7 + 0).\nAnswer: 60*q**4 - 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -138\/2005, -0.0099 in ascending order.\nAnswer: -2, -138\/2005, -0.0099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -618, -608, -596, -582, -566, -548?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7368966 or -7368964?\nAnswer: -7368966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17966 - -18096. Solve 117*i - 91*i = -f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -82*r - 6148. Determine t(-75).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 414 and 1102482?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 9. Let a be j - 1 - (-12)\/(-6). Suppose 5*o - 4*o = -3. Sort a, o, 0 in increasing order.\nAnswer: o, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000110111110 (base 2) to base 15.\nAnswer: -152c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 + 18*r + 744. Give y(0).\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**4 + 201*s**3 + 1323*s**2 + 3483*s + 3240.\nAnswer: 3*(s + 3)**3*(3*s + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-7)*(4 + -11). Suppose 4*v + 3*i + 4 = -0*i, -3*v - 4*i = j. Solve 2*s + s = w - v, 4*w = 3*s + 17 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 140 = 131. Suppose -q - 3*q + 266 = -o*x, 0 = -3*q - 2*x + 191. Do 63 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1955194 and -2?\nAnswer: -3910388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agg when three letters picked without replacement from ipgsssipaapgsp.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxmnvxvxvn. Give prob of sequence xnv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.25 + -0.35. Which is the second biggest value? (a) 0.4 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i + 8 = 24*i. Suppose -4*x + 3*x + 8 = -i*j, 3*j - 2*x = -14. Is (-4197 + 7)*1\/j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -816*n - 165*n + 149*n - 418*n to g + t*n and give t.\nAnswer: -1250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -1125996708.186.\nAnswer: -1125996708.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzuz when four letters picked without replacement from zzzougzgggzggzggz.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.1329.\nAnswer: -0.06645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 1:27 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 41*b**2 - 89*b + 132. Calculate the remainder when 627 is divided by g(-43).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*h - 0*h. Let o be 33\/(-770)*-5*14. Suppose 1 = -4*z - o, 0 = -3*f + h*z + 6. Is f < -2\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -580 - -15664\/27. Let u(p) be the second derivative of a*p**3 + 1\/54*p**4 + 0 + 1\/3*p**2 + 6*p. What is c in u(c) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/((-434)\/14)*(-5)\/410\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by -3190035\nAnswer: 16\/1063345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -100*l + 102*l + 5712. Is 5 a factor of -1 - 8\/(-10) - l\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 9 + -24 + (2 - 128) + 23?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 1 - (8*-1)\/4. Let p(s) = 6*s**3 - 4*s**2 - 4*s + 4. Let y(x) = x**3 - x**2 - x + 1. What is h*p(k) - 4*y(k)?\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365799?\nAnswer: 3, 7, 17419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.432749 milligrams in micrograms?\nAnswer: 6432.749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7072 (base 8) to base 11\nAnswer: 2811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -111001?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13545 - -31414. Calculate the remainder when q is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -450268 + -2449732. Round v to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-3))\/(((-7904)\/(-64))\/19*2\/702)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3159)\/(-156))\/((-7)\/(112\/(-12))). Solve 0 = g*m + 262 - 46 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/5))**(-2\/143))**(-1\/3)*(g*g**0\/g*g)\/(g*g*g**4)*g\/(g\/(g\/(g\/g**(-4)*g)))*((g\/g**4)\/g)\/g assuming g is positive.\nAnswer: g**(-32179\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181978899 is divided by 478?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1565362+77.7\nAnswer: -1565284.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675492 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 629 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/2)\/(6*7\/(-112)). Let u be -2 - (3 - 36\/f). Solve 3*p - 5*o - 20 = -2*p, -2*o = -u*p + 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 128?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) 2\/17 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**2 - 2*v**2 - 3*v**2 + (2 - 2 + 3*v)*(-745*v - 797732 + 797732).\nAnswer: -2234*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 717625211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 9. Suppose 3*c - 30 = -3*x, 0 = -5*x - m*c + 74 - 20. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28*((-8 - -4) + 0). Let j = -92 - l. Suppose 5 + 4 = 2*a + 3*s, -12 = -5*a + 3*s. Solve a*b = -b - j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 8 = 16. What are the prime factors of (1\/2)\/((-1)\/v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 6. Let v be y(-6). Suppose -a - 5*j + 88 = v, 1 = j - 0*j. What is a rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231466*-0.03.\nAnswer: 6943.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 151 - 126.4. Let j = z + -20.6. Let i = 12\/23 - 1\/46. What is the nearest to -0.1 in i, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45)\/75 + 357\/(-5). Find the common denominator of 101\/20 and (-4944)\/k*1\/(-152).\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from lmxmxdllxlllpmxxldl?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232032 (base 6) to base 2.\nAnswer: 100110110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/4)\/(63\/21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44491 + 44490. Let p(a) be the first derivative of -4*a**2 + 2*a - 2. Let v(x) = -x. Give w*p(u) + 6*v(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-1)*s**(-4)*s\/(s**1\/s)*s*s\/s**(-4) assuming s is positive.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 54*i + 322. Suppose -13*y - 20*y - 198 = 0. Let x be q(y). Let m = 5.06 - 0.06. Which is the fourth biggest value? (a) x (b) -0.4 (c) m (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 3\/2*v**2 + 0 - 2\/3*v**3 - 3*v. What is the units digit of x(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -169, -91, -1 in increasing order.\nAnswer: -169, -91, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + 4*l**2)*(-4*l**2 + l**2 + 2*l**2) + (-3*l + l + 4*l)*(-7*l**3 + 8*l**3 - 2*l**3).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 60280920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2484004 is divided by 185?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 1 = -5*k, 4*k + 9 - 53 = -4*d. Let q be (-14)\/(-2) + 7 + -5. Solve 2*h + d = 5*r - q, 5*r = -3*h + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-5) + (-2193)\/(-645)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 + -58 + -25 + -18.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - t = 4*y - 3, 6 = 5*y + 2*t. Let h = -26 + 30. Suppose -h*r = 4*q - 20, 5*r = -y*r + 3*q + 1. Solve -u - 1 = -r*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2317605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 44\/4387 (b) -0.1 (c) 1 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/3 in 0, 3, 3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 8, -9 in increasing order.\nAnswer: -9, 2, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2112640 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxxx when four letters picked without replacement from {x: 3, r: 4, i: 1, v: 1, w: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 458 and 66.\nAnswer: 15114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -772? (a) 1\/3 (b) 3 (c) 1\/9 (d) 4\/11 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -16*k**4 - 14*k**2 - 3*k - 3. Let a(h) = -33*h**4 - 29*h**2 - 5*h - 5. Let r(u) = -3*a(u) + 5*j(u). Find the third derivative of r(t) wrt t.\nAnswer: 456*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m*m*(m*m*((m**(-1)\/m)\/m)\/m*m)\/m)\/m))\/m*m**(-2\/23)*(m\/m**(-2))**(-45) assuming m is positive.\nAnswer: m**(-3107\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -1 + 17 - (5 - -30)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s + 40 - 40 = 0. Let t(v) be the second derivative of s*v**2 + 0 + 0*v**3 + 3*v + 1\/10*v**5 - 1\/6*v**4. Factor t(f).\nAnswer: 2*f**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 17643*v. Let p(j) = 41*j**2 + j. Give p(h(a)).\nAnswer: 12762293409*a**2 + 17643*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -9*h**2 + 6*h - 6. Let v(x) = 10*x**2 - 7*x + 7. Suppose 3*a + 2*a + 3*g + 201 = 0, 75 = -2*a - 3*g. Let p = a + 35. Calculate p*r(l) - 6*v(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2339, -1946, -1553, -1160, -767?\n\"Answer: 393*g - 2732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -667.8 + 664. Let r = 4.7 - 0.7. Let h = b + r. Sort -2, -1\/7, h in increasing order.\nAnswer: -2, -1\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - i - 27 = 25, 5*n + 2*i = 105. Calculate the remainder when 54 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -12064 + 1779. Calculate the highest common factor of 561 and h.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -38, 5, -3\/7 in ascending order.\nAnswer: -38, -3\/7, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3*189\/(-18). Let w(p) = -p**3 + 4*p**2 + 5*p + 3. Let y be w(5). Let f = z + y. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, v: 12}. Give prob of picking 1 v and 2 o.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6824\/1197 + -17\/798. What is the common denominator of n and (-2)\/3 - (-94)\/(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4650 divided by 150?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102564837 to the nearest integer?\nAnswer: 10127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2 + 7 - 14*z - 3. Let c(d) = 7*d - 1. Let r be (((-144)\/45)\/4)\/(1\/(-5)). Let t(o) = r*s(o) + 9*c(o). Calculate t(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 = 4. Let l be (1 + 3\/(-9))*b. Find the third derivative of -2*m**2 + 6*m**4 + 5*m**l - 6*m**2 wrt m.\nAnswer: 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 304?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3494956853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = 2*u - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 365\/42 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 246, 376, 504, 630, 754?\nAnswer: 876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from {h: 2, w: 1, g: 4, a: 1, y: 2, p: 2}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 337636 + 49097166\nAnswer: 49434802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -362*i - 9. Let s(u) = -1955*u - 44. Let h(k) = 16*j(k) - 3*s(k). Calculate h(3).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -10300 + (66 - 66). What is b rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100000 - 1?\nAnswer: -1010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -933 + -81539.455\nAnswer: -82472.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(14)\/sqrt(2) - (sqrt(140)\/sqrt(4))\/sqrt(5)) + (-1*sqrt(77)*-1)\/sqrt(11) + 3)*4.\nAnswer: 8 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 + 80 = 2*p. Suppose 6*g - 568 = g + p*f, -2*g - f = -222. Suppose -l = -3*b - 17, -21 = 3*l - 4*l + b. What is the remainder when g is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 82704 and -3.\nAnswer: -248112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 31*v - 398. Let m be z(13). Which is the nearest to 1\/4? (a) 24 (b) m (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 2. Let z be x(4). Let d = -14 + 30. Suppose z*b - d - 34 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:26 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 17. Suppose -12*y = -60 - 24. What is c(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 2*c + 4*c + (-1 + 4 + 0)*(c + 0*c + c) + 6*c + 2*c - c - 59*c - 19*c + 42*c.\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 4. Suppose 0 = r + 2*v - 38, -r - l*v = 8 - 45. Calculate the greatest common divisor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, 1\/2, 0.2, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7828 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h + 2085. Let s(t) = 3*t**2 - 5*t. What is s(q(l))?\nAnswer: 108*l**2 + 75030*l + 13031250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**0*(w**(1\/2)\/w)**(-15) assuming w is positive.\nAnswer: w**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1873, 91, -1691, -3473, -5255?\nAnswer: -7037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c6 + -29?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3161 + 3164. Which is the nearest to z? (a) -12 (b) 1\/6 (c) -3 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3508591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in -1\/8, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 27*v - 86 = 21*v, 2*f + 0*f - v + 37 = 0 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 5577*h - 1365814. Give l(235).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 11:17 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 382. Let m(y) = 24839*y - 2. Determine x(m(q)).\nAnswer: 24839*q + 380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 12 = -19*t. Which is greater: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 615.22.\nAnswer: -4, 4, 615.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 9*z = -140. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3794020 or -56910286\/15?\nAnswer: -56910286\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 744 and 744?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6042 - 54434\/9. Let t = -6 - s. What is the biggest value in 1, t, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518529574?\nAnswer: 2, 1039, 249533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 16802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 + 3*s**2 - 3. Let r(f) = f**2. What is -b(c) + 3*r(c)?\nAnswer: 2*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.356 + -1.734. Let s = 88 - 87.91. Let y = x + s. Which is the smallest value? (a) 0.5 (b) y (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 177 + -114. Let q be 1 + j\/(-45) + 22\/30. Which is the closest to q? (a) 0 (b) 1\/6 (c) -132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 9:16 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 19*c = 16. Let x be -14 + (-1 - 6)\/((-15)\/(-15)). Put x, -3, 1, c in descending order.\nAnswer: c, 1, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 2. Let n(h) = -4*h**3 - h**2 - 3*h - 1. Let q be n(-1). Let l(w) = w**2 - 2*w + 4. Give q*m(f) - 2*l(f).\nAnswer: -2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8921.2 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.200617773.\nAnswer: 0.0401235546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 158 = 50. Let c(t) = -18*t - 9. What is the remainder when r is divided by c(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 0*l**2 - 1\/3*l**3 + 0*l - 1. Let n(y) = -y**2 - 3*y**2 + 0*y**2. What is z(n(o))?\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 10*y - 9 - y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 10:31 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -17*2\/(-17) - (-15537 - (3 - 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 - 8*q - 2. Let v(f) = -f**2 - 4*f - 1. Let x(d) = -4*m(d) + 9*v(d). Let j be x(-3). Solve -4 = -2*k, -4*a + 21 = j*k + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102485 + 167982. What are the prime factors of h?\nAnswer: 65497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - 15\/(-90)*33. Sort -0.4, w, -0.3, -7, -3 in descending order.\nAnswer: w, -0.3, -0.4, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1202356415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19400615?\nAnswer: 5, 13, 19, 23, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -16*s + 138. List the prime factors of s.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 6*j + 9. Let c be b(-7). Suppose -10 = -5*t, 0*w - 29 = 5*w - c*t. Put 1, 4, w in decreasing order.\nAnswer: 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9808564?\nAnswer: 2, 2452141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2518 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 229.03 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 13*z - 10*z**2 + 11*z.\nAnswer: -10*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - k - 4. Let j be u(0). Let n(r) = 24*r**2 + 10*r - 3. Let f(h) = 22*h**2 + 13*h - 4. Let x(c) = -4*f(c) + 5*n(c). Is x(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 4)*(0*q**2 + 4*q - 2*q**2 + 10*q)*(2*q**2 + 0*q**2 - q**2).\nAnswer: 16*q**4 - 112*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1992 + 1949*h - 18*h**2 + 8*h**2 + 12*h**2 - 1989 to the form l + y*h + v*h**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 730045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.6 - 0.4. Let j = -152.475 + -49.521. Let r = 202 + j. What is the second biggest value in n, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.09 (c) 3\/4 (d) 18\/5243 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2. Let u(z) = z - 4. Let m be u(6). Let n(a) = 2*a**m - 8*a**2 + 4*a**2. Calculate n(q(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/(sqrt(8)\/sqrt(2)))\/(sqrt(96)\/sqrt(3)))**2 + (2*sqrt(50)*1)\/(sqrt(30)\/((sqrt(12)\/sqrt(4) - sqrt(3)) + sqrt(3))).\nAnswer: 5\/16 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -21189, -5, -25\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -f + 8, 3*o = -5*f - 3 - 1. Find the second derivative of r**2 + 0*r**2 + 5*r - 3*r + r**o wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 0, 6\/575?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - i = -23 - 5, 0 = -5*i + 15. Let g = a - -82. Calculate the common denominator of -28 and (g\/(-27))\/((-6)\/12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*b + 359*b = -300*b + 14425 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 2123, 0, 1764\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 9:15 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-30)*(80\/(-28))\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v + 57\/4*v**4 + 0 - 3\/8*v**5 - 297\/2*v**3 + 243*v**2.\nAnswer: -3*v**2*(v - 18)**2*(v - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3 = 5*g + 1, -5*k + 10 = 0. Let c be g - ((-96)\/20)\/2. Sort -3\/7, -5, c.\nAnswer: -5, -3\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2481 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -198103 divided by -65\nAnswer: 198103\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501353146 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 8:37 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -921 times 0.3?\nAnswer: -276.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4\/5 (b) 1\/6 (c) -0.47 (d) 7\/236\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 593891, 593892, 593893, 593894, 593895?\nAnswer: 593896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-64)\/(-70) + (-4)\/(-6). Let a = 28\/15 - s. Suppose -7*i - 5 = -12*i + x, 0 = 5*x + 25. Do i and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 44551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -426*s + 2 + 431*s + 15*s**2 - 2 in the form c*s + l*s**2 + x and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*r - 0*y - 908, r - 5*y = 448. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Let t be 5\/(-2)*(-3)\/(-15). What is the nearest to r in 2\/3, t, 3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -214*b**2 + 177*b + 5. Let u(c) = 213*c**2 - 178*c - 4. Let l(k) = -4*a(k) - 5*u(k). What is the second derivative of l(g) wrt g?\nAnswer: -418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142292?\nAnswer: 2, 35573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55853*b + 78 = 55879*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 817 - 2805 = 142*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = -y + 65. Let a be (-39)\/(y\/36 - (-18)\/(-81)). Calculate the highest common factor of a and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**2 - 1102*x - 58469. Calculate s(-72).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w**2. Let f(v) = -6*v**2 + 3*v - 3. Let d(l) = -5*l**2 + 2*l - 2. Let m be (-6 - -1)\/5 + 1 + -3. Let t(h) = m*d(h) + 2*f(h). What is t(q(i))?\nAnswer: 192*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*(sqrt(112)*3 - sqrt(112)))\/(sqrt(24)\/(sqrt(18)\/(sqrt(18)\/sqrt(6)))).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 21*u**2 - 55*u + 35. Suppose -6*y - 71 = 43. What is the units digit of j(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 13*r - 335. Let h(f) = -5*f - 44. Let p be h(-14). Let q be j(p). Let 32 - 1\/2*w**q - 24*w + 6*w**2 = 0. Calculate w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 - 3*o - 3. Let k(i) = i + 1. Let q(l) = 2*f(l) + 6*k(l). Let a(n) = -n. Calculate a(q(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**6\/135 - 7*v**5\/30 + 19*v**4\/27 - 57*v + 2. Solve t(z) = 0.\nAnswer: 0, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2\/7 - 270*b\/7 + 76 = 0. Calculate b.\nAnswer: 2, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*n + 7, g + 3*g - 3*n - 24 = 0. Suppose 3*p - 45 = 5*m, 0 = g*p + 2*p - 25. Let j(l) = -8*l + 5. Let k(t) = -9*t + 6. Give m*k(o) + 7*j(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1390183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, k: 3, l: 1, d: 8}. What is prob of picking 1 l and 1 k?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q - 12. Suppose 3*u - d = -u + 207, q*d = -12. Let t = -19 + u. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2529997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 27\/5 of a microsecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/378 and 59\/572.\nAnswer: 108108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5 - 6722*d**4 + 87680*d**3 - 148456*d**2 = 0.\nAnswer: -3374, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -21, -976, 32 in ascending order.\nAnswer: -976, -21, -4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40427055 to the power of 1\/2, to the nearest integer?\nAnswer: 6358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -1211\/96 (c) -5 (d) -1 (e) -9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/9*102\/(-935).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2*m + 47131918*j**2 + 14586*m**3 + 64*m wrt m.\nAnswer: j**2 + 43758*m**2 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -0.1, 12\/11, 2\/9 in decreasing order.\nAnswer: 5, 2, 12\/11, 2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.4621 and 29 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 162360.\nAnswer: 162360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35193*z**2 - 3*z - 11711*z**2 - 11744*z**2 + 3*z - 11745*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 2. Suppose 0*k - 2*k = 22. Let r be v(k). Let h = r - -36. Calculate the remainder when h is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97996.\nAnswer: 2, 24499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a**2 + a**2 + 26*a**2 to r*a**2 + t + m*a and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*n + 561 = n - 18*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = 40*z - 26*z + 46 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 - (-10 + 10 - -8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 326590 to the power of 1\/2, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 298*k**3 + 27*k**2 - 8*k + 4. Let q(g) = 2*g**2 - 2*g. Let t(c) = -4*q(c) + y(c). Find the third derivative of t(l) wrt l.\nAnswer: 1788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -533009, 4, 35 in descending order.\nAnswer: 35, 4, -533009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10 = -18. Suppose -70 = -u*l - l. What is the least common multiple of l and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335428.\nAnswer: 2, 83857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26\/3*k - 8\/3*k**2 - 4*k**3 + 2\/3*k**5 + 4\/3*k**4 - 4.\nAnswer: 2*(k - 1)**3*(k + 2)*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -10. Let v be (-76)\/(-18) + t\/9. Suppose -c = v*c. Solve 19 = 3*u + 4*r, 3*u + 5*r = -c*u + 23 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1313 in -0.5, 6, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 10:54 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.041 and -0.9.\nAnswer: -0.0369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36815932?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 + 37*m**3 - 13*m**3.\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2, -2603\/1162, 0.5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 883 + 257. Round t to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 - 22*d - 1. Let m(h) = 4*h**3 - 43*h - 2. What is -2*m(x) + 5*r(x)?\nAnswer: 2*x**3 - 24*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66497.942 + -66721. Let f = -0.058 - t. Is 2 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/8)\/((-1)\/(-5)). Which is the smallest value? (a) 0 (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + 9?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**4\/12 - 4*m**3\/3 - 7*m**2\/2 - m. Let p be c(-6). Suppose -4*j + 31 = -4*h + 3*h, 3*j - 36 = p*h. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.363 to 2 decimal places.\nAnswer: 2.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 643*y - 2 - 86*y.\nAnswer: 557*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 + 0*g**3 - 2*g**3 + (-3*g**2 + 3*g**2 - 15*g**2)*(-1 + 1 - g) - 205*g + 4*g**3 + g + 432*g in the form v*g + y + c*g**3 + j*g**2 and give v.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 12*p = -p. Let g(s) be the first derivative of -9\/2*s**2 + p*s + 5. Let c(f) = -f. Calculate c(g(t)).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-37))**(-3\/19)*b**(-29\/4)\/(b*b\/(b*b*b**15*b*b)) assuming b is positive.\nAnswer: b**(1185\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 253711752 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/52 and -34\/71435.\nAnswer: 285740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -3*m - 56, 6*c + 3*m = 8*c - 70 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6718*t - 374*t - 563*t + 350*t to the form d*t + o and give d.\nAnswer: 6131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -184700 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d + 5. Let b = 177 + -176. Let v(a) = -a. Let g(y) = -5*y + 1. Let z(x) = -g(x) + 4*v(x). Determine b*p(l) + 5*z(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 1\/20*g**5 - 1\/40*g**6 + 0*g**3 + 2*g**2 - 1\/70*g**7 + 1\/8*g**4 + 0 + 0*g. Determine i so that n(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 60*p - 6*p - 56*p. Let l(c) = -c + 3. What is j(l(i))?\nAnswer: 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**6\/60 - 136*r**5\/15 - 18221*r**4\/12 + 37538*r**3\/3 + 717*r**2. Determine m, given that z(m) = 0.\nAnswer: -137, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3137, -6260, -9385, -12512, -15641, -18772, -21905?\nAnswer: -25040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 - 534*z**2 + 534*z**2.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1464*s - 1927. Let c(z) = -488*z - 637. Let x(l) = -11*c(l) + 4*o(l). What is the derivative of x(p) wrt p?\nAnswer: -488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1288*v + 27991. Calculate j(23).\nAnswer: -1633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njmy when four letters picked without replacement from {y: 1, n: 2, j: 4, m: 1, z: 5, l: 2}?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 15 = 419*p - 423*p, -3*p = -4*n + 45 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1391, -1499, -1679, -1931, -2255, -2651?\n\"Answer: -36*o**2 - 1355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 214119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 5) to base 14.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -466, -1576, -3734, -7288?\nAnswer: -12586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 592 and 5529428.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 22 + 42 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 17 - 8. Suppose -3*h = -l*z - 47 - 37, -3*z = -h + 24. What is the remainder when 0 + 0 - (-124 - 23) is divided by h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 48*t**2 + 410*t + 19555. Give s(-48).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c0 + 2a?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 794451 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:50 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-9) - 10\/45. Let q be (-1)\/a - 371\/(-14). Suppose 0 = k - 24 - q. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/40 and 73\/532.\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 7*d + 8*d = 0. Factor -17*b**2 + 8 + 10*b - 2*b**3 + d*b**3 - 8*b**3 + 0*b**3.\nAnswer: -(b + 2)*(2*b + 1)*(5*b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**8\/r))*(r**(-2\/3)*r)\/r)\/(r**(1\/4))**(-42)*(r\/r**(-1)*r**4)\/(r**(2\/7)*r**(2\/13)) assuming r is positive.\nAnswer: r**(12227\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + 0*f + f**2 - 39 + 11*f + 7*f. Let h be y(-22). Solve -3*m + h*z + 4 = 0, 3*m = z - 1 - 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 5*w**2 + 6*w + 11. Let a be c(-6). Let t(m) = -m**3 + 11*m**2 + 9*m + 27. Is t(a) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h = 15*h + 9*h + 4. Solve 5*z - h*o + 24 = -5, 7 = -z + o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 8*q**2 + 8. List the prime factors of x(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 503 - 503. What is the nearest to g in 2\/13, -0.4, -1, 10?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 108\/10 + (-3)\/(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*w**2 + 42*w**2 + 32*w**2 + 46*w**2 + 53*w**2 + 43*w**2.\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 + 3*b + 3. Is 9 a factor of s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o - 5. Let m(v) = v - 1. Let i(b) = 11*m(b) - 2*n(b). Let l(z) = -2*z - 5. Let j = -43 + 49. Let k(s) = j*i(s) - 2*l(s). Determine k(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 34. Suppose 0*k + 15 = 5*k. Solve 0*g - s = -k*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 6*b**2 + 5*b - 44. Calculate the smallest common multiple of x(5) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 0.134666?\nAnswer: 0.165334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -0.25?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 253 + -110. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 15 = 64. Suppose m = l - 13. Let c be (-4 + l)*(-1)\/(-2). Solve 0 = -2*y + 4*a - c, 2*a = 6 - 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -4 (c) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11328 and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3344 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*d + 7 = 1, 5 = 5*d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 809*x - 722*x - 1044 = 0 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13610 - -54?\nAnswer: 13664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -17. Let w(l) = 17*l - 2*l - a*l - 7*l. Let v(o) = -20*o**2. Give v(w(z)).\nAnswer: -80*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2. Let b(h) be the first derivative of -3*h**4\/8 + 6*h**2 - 21. Let t(i) be the second derivative of b(i). Give t(n(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134466406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 1114*r**2 - 117534*r + 5982. Calculate i(996).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0327117 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 5*i**2 - i + 4. Let q(m) = 4*m**3 + 28*m**2 + 42*m + 27. Determine 6*k(r) - q(r).\nAnswer: 2*r**3 + 2*r**2 - 48*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -17. Suppose 35 = 3*k - k - 5*b, -3*k + 27 = b. What is the lowest common multiple of d and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5918 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(4 + -5 + 0) - -1045. Let w = 1749 - t. What are the prime factors of w?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 74813*k + 448865. Determine r(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + sqrt(3))*-1 + 0.\nAnswer: -3 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -39?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1629, -1749, -2065, -2673, -3669, -5149, -7209?\n\"Answer: -16*b**3 - 2*b**2 - 2*b - 1609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 53?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5415 - -11394. Let q = 5978.99997463 - z. What is q rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-416)\/(-520)*(-2)\/20?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7883 - -13263. Round o to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 24*u**2 + 9. Let v be j(-6). Suppose 3*i - 192 - 99 = -c, -v = -3*c - 5*i. Does 48 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28347269 is divided by 3596.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/66215088 and 79\/919654.\nAnswer: 66215088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(28)*-3 - (sqrt(700) + (-1*sqrt(700) - sqrt(700)) + 0)*-2.\nAnswer: -26*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/o**(-15))\/o))\/(o**(-12\/13)\/o))\/(o\/o**(3\/17)*o**(1\/12)) assuming o is positive.\nAnswer: o**(-34433\/2652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -21, -40, -75, -132, -217, -336, -495?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848*a - 851*a = y + 12, -2*y - 3*a = 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -142630 and 0.33111?\nAnswer: 142630.33111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-228)\/120*(-252)\/399 - -15.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 29 + 93 = 0. Calculate the common denominator of 1\/(-2) - m\/18 and -19\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 23*a - 176 = 0, 145681*z - 5*a + 30 = 145680*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2103679*w**2 + 19*w + 20989047 wrt w?\nAnswer: -4207358*w + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1009288819 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -153*n**3 + 2748*n**2 - 12132*n - 480 = 0. What is n?\nAnswer: -2\/51, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -453, -530, -607, -684, -761, -838?\n\"Answer: -77*o - 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-213*k + 18*k**2 + 213*k)*(0*k - k + 4*k)*(1 + k**2 - 1) - 3*k**4 - 2*k**5 + 3*k**4.\nAnswer: 52*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/(738\/(-184) - -4). Is (6\/4)\/((-1)\/t) - 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.3 (b) -1 (c) -474 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(-5*(sqrt(192) + (sqrt(192) - (3 + (sqrt(192) - sqrt(192)*-2))))**2*3 + 3).\nAnswer: 4320*sqrt(3) + 18074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 415 + 4345. Let h = n - -10490. Suppose -4*y = -y + h. What is y rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 87*x**2 + 149*x - 12700. Determine z(87).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*y + 20*y - 104*y)*(22*y**4 - 2*y**4 + 3*y**4).\nAnswer: -2231*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2375249528*b + 1 - 858*b**3 + 2375249528*b.\nAnswer: -858*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.26, 3, 2\/7, -29\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93 * -41.\nAnswer: 3813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -10*d - 22. Calculate w(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q - 31 + 53 + 22*q - 21 - 39*q + 14*q.\nAnswer: 20*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 79 = -233. What is the remainder when p is divided by (-88)\/(-14) + 4\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158738217 is divided by 52912733.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 510 and 137944460?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-708)\/(-116) + 165\/(1155\/(-35))?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23644.227 rounded to the nearest ten?\nAnswer: -23640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-23 + -31)\/(3\/(-10)). Let a = 215 - y. What is the lowest common multiple of a and 45?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 698, 1536, 2700, 4190?\nAnswer: 6006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*m - 79*m + 29*m + 25*m - 670*m**2 as o*m**2 + g*m + b and give o.\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/26)*b*b*b**7)**33\/(b**(-1\/4)\/((b**(-10)*b)\/b))**(-2\/27) assuming b is positive.\nAnswer: b**(34685\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11892 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-5)\/((-5)\/3) - (-575)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57934 or -57253?\nAnswer: -57253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8411, 8452, 8551, 8738, 9043, 9496, 10127, 10966?\n\"Answer: 5*v**3 - v**2 + 9*v + 8398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/3 + 28319188*y\/3 - 28319189\/3 = 0. Calculate y.\nAnswer: -28319189, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -214 - -25?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -103545*-1\nAnswer: 103545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 - 11 - w**2 + 11 to y*w**2 + x + l*w + m*w**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 32030229.718?\nAnswer: 32030232.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*w - 30 = 0, m - 8 + 3 = -w. Differentiate -5699 + 2*c**3 + 19*c**4 + 5610 + m*c**4 with respect to c.\nAnswer: 116*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29859, 29858, 29857, 29856, 29855?\nAnswer: 29854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -555, -556, -559, -564?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2 + 146*t - 2660 = 0. Calculate t.\nAnswer: 35, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 315*s - 6915800.\nAnswer: 5*(s - 1208)*(s + 1145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (26 - 7 - 59)*(1 - x - 1) + (1 - 1 - x)*(3 + 1 - 3) in the form o + l*x and give l.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -80, -102, -124, -146?\n\"Answer: -22*g - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36\/(-48) + (-490)\/8. Calculate the common denominator of -33\/4 and ((-4)\/(-40))\/(4\/n).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2331, 1, 32, 2\/7?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -21\/10, -11 in increasing order.\nAnswer: -11, -21\/10, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -243, -872, -1891, -3288, -5051, -7168?\n\"Answer: 2*l**3 - 207*l**2 - 22*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzggtggzz. Give prob of sequence gzgz.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 328*p. Let h be t(-1). Let u = h + 568. Calculate the highest common factor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w - 17. Let b(t) = -1 - 7*t**2 + 5*t**2 + 1 + 0*t**2. Determine d(b(l)).\nAnswer: 8*l**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + (19 - 13) + -15 + 3.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.45 - -0.484. Let a = -0.534 + l. What is the third smallest value in a, -3, 5, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -726174 divided by -242058.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 27*n**2. Let x(f) = 0*f**2 + 15*f**2 - 11*f**2 - 4*f**2 + 6*f**2. What is c(x(a))?\nAnswer: 972*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 94*x + 41. Let q(j) = -92*j - 57. Give 4*q(o) + 5*u(o).\nAnswer: 102*o - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/40, -1\/5, 9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 + 0)*(a + 2*a**4 - a) - 3*a + 3*a + 9*a**4 to x + c*a**3 + r*a + l*a**4 + m*a**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.894 < -3.327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -9*g - 161, -19*d + 8 = -15*d for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 11\/2)*-2. Let f(b) = 2*b**2 + 2*b + 1. Let w(d) = -4*d**2 - 5*d - 3. Let l(x) = n*f(x) + 2*w(x). Give l(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.3, -0.5, 4\/15, 2\/5.\nAnswer: -0.5, -0.3, 0, 4\/15, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 + h**3 + 0*h**3 + 0*h**2 + 0*h**2 - 3*h**3 + (-3 + 2*h + 3)*(-79*h**2 + 19*h**2 - h - 9 + 52*h**2).\nAnswer: -21*h**3 - 2*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 167 = 2*d + 4*x, 2*x - 136 = -4*d. Let o = d - 24. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 375 + -72. List the prime factors of o.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5\/2*i**2 - 35\/4*i**3 + 0*i + 0 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/12229360 and -31\/39325.\nAnswer: 672614800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*m*r**3 + 4*c*m*r**2 + 56*c*m*r + 2*c*m - 2*c - 1485*m with respect to r.\nAnswer: 3*c*m*r**2 + 8*c*m*r + 56*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1586, 1585, 1584?\nAnswer: 1583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 156 - 721. Let r be (-5)\/3*(w + 2). Suppose r = 3*o - 592. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3 = -12. Find x such that 325*x**5 - 45*x**4 + 10*x**3 - 320*x**5 + 57*x**3 + 3*x**f = 0.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89829583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6426389kg in grams?\nAnswer: 642.6389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.027 + 0.027. Put 1, 6, u in decreasing order.\nAnswer: 6, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.84 and 375988663.\nAnswer: 375988663.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.41 - 3.01. Let x = 2.3 + w. Let q be 2\/(-8)*4\/5. What is the nearest to q in -0.2, x, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s + 3*q - 11182, 5*q + 11190 = 5*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-22))**(-8\/9)*(y**(2\/19))**(2\/3) assuming y is positive.\nAnswer: y**(3356\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2278 - -5812. What are the prime factors of o?\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 1. Let w(u) = -369*u**2 + 2*u + 4. Give w(q) - 3*x(q).\nAnswer: -369*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 13 - (-17 - 0 - (288 - 300))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/16*(0 - -2). Let p be (2 - (v + 0)) + 115\/(-5). Let x(t) = -t**2 - 20*t + 1. Let f be x(p). Solve a - f + 6 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16492400 rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 137*i**2 + 1734*i + 183. Calculate b(12).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*c + 126*c = 250*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 4*r + 551 - 675, j - 59 = r for j.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/789214 and -23\/230513.\nAnswer: 46563626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k - 1. Let p be c(2). Let o = -11 + 3. Let y = o - p. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c9a0 + -16?\nAnswer: -3c9b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2363 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 99 + 139 = 0. Sort t, -7, -3, -2.\nAnswer: -7, -3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113827.4 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**28*f*f*f)\/(f\/f**2) assuming f is positive.\nAnswer: f**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -210003, -419972, -629941, -839910, -1049879?\n\"Answer: -209969*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1803, 65, 0 in increasing order.\nAnswer: 0, 65, 1803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 2*x + 9. What is t(6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -83, 0.2, 57, -0.1?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1532 in 1\/37, 4, 2\/9, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5))*-5*-3 + 0.\nAnswer: 15 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 51942364?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 3. Let x be i(0). Suppose -3 = -8*t - 35. Put t, x, -1 in ascending order.\nAnswer: t, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r + 7. Let i(p) = 6*p. Calculate i(w(b)).\nAnswer: -30*b + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3399 is divided by 111.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 821, 867, 913?\nAnswer: 959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*((-3*d + 2*d + 0*d)*(-3 - 3 + 4) + d - 2*d + 0*d)*(367*d - 25*d**2 - 367*d).\nAnswer: -25*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 2307.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 67. Calculate the smallest common multiple of 1 and c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lldrdcdlddddddl. What is prob of sequence ddr?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.676 + 0.076. Let y = -6.986 + -0.014. Let j = w - y. Which is the closest to -1? (a) j (b) 1\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -31*i + 35*i + 46, 0 = -r + 5*i + 29. Suppose 0*q = -r*q + 209. Calculate the highest common divisor of 352 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1. Let n(t) = 2*t + 10. Let s(z) = 10*l(z) - 2*n(z). Suppose 2*f = 5*h + 17 - 4, -34 = 4*f + 2*h. What is s(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k = -7*k - 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3353321 from -0.06.\nAnswer: -0.3953321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2\/5 + 3*w\/5 + 28\/5 = 0.\nAnswer: -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31905118?\nAnswer: 2, 7, 971, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Let s = -4 - -5. Let k be (-3 - (s - 3)) + 6. Solve z = 3*p - 5*t - 2, -k*p + 5*t = -3*p - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367976.\nAnswer: 2, 7, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12*(10\/(-40) - (-86)\/24). Let f be -2 + 3 + (35\/o)\/(-1). Which is the third smallest value? (a) 2\/13 (b) 3\/2 (c) f (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2365456936.\nAnswer: 2, 295682117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31540 (base 8) in base 5?\nAnswer: 410102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -59 (b) 2\/5 (c) 0.02276 (d) -2\/11 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a + 5*a)*(10 - 7 - 6) - 2*a + 4*a - 4*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 1\/12*h**4 + 0*h**2 + 0 + 3*h + 1\/90*h**6 + 1\/18*h**3 + 1\/20*h**5. Find n such that k(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 6. Suppose -y + 19 = 4. Let d = y - 13. Let x(q) = -3 + q**d + 3 + 5. Give 3*o(g) - 4*x(g).\nAnswer: -g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -646*0.35\nAnswer: -226.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24, -33, -54, -93, -156, -249, -378?\n\"Answer: -i**3 - 2*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(84)\/sqrt(64))\/(((-1*sqrt(42))\/sqrt(6) - sqrt(7))*-1).\nAnswer: sqrt(3)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*s + 1026 = 111*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-968)\/(-792)*-387)\/(-22)?\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z + 3. Suppose -9*t = -3*t + 30. Let f(d) = -7*d + 4. Let v(x) = t*f(x) + 6*o(x). Let n be v(-5). Solve 9 + 3 = n*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 69.28467?\nAnswer: -27.713868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4\/5 + 9578*n**3\/5 - 856378*n**2\/5 + 6305878*n\/5 - 5459076\/5 = 0 for n.\nAnswer: 1, 7, 83, 4698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*g = -4*m - 1262, 10 = 5*g. Round m to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*i - 4*i**2 + 8*i + (-4*i + 0*i + 2*i)*(-i - 4 + 4) + (-2 + 2*i + 2)*(2 + i - 2) + 4*i + 17*i**2 - 4*i + 79 - 15*i**2 - 79.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(126)\/sqrt(2) + 4*sqrt(63)*2)**2 - (5*(sqrt(84) - (-1*sqrt(84) - sqrt(84))) - sqrt(84))\/(-6*-1*sqrt(12)).\nAnswer: -7*sqrt(7)\/3 + 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -299713 divided by -226?\nAnswer: 299713\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 4*o - 59. Let z be 1*133\/(-14)*o. Solve -3*j - z = -3*i - 1, 3*j = -3*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/16)\/(2*3\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.76, -1\/4, -1599, -5 in descending order.\nAnswer: 0.76, -1\/4, -5, -1599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -25*w + 1. Let x(i) = 99*i - 3. Calculate 18*u(s) + 4*x(s).\nAnswer: -54*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146882*f**2\/13 - 133332*f\/13 + 30258\/13 = 0. What is f?\nAnswer: 123\/271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let i(l) = 72*l**2. What is i(x(u))?\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/(63\/9)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/36 and 25\/3136.\nAnswer: 28224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {l: 4, i: 14}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2409 is divided by 172.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -11 + o**2 - 1\/240*o**5 + 0*o + 0*o**3 + 35\/96*o**4. Factor v(f).\nAnswer: -f*(f - 35)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -343?\nAnswer: -20\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 847.9624t in grams?\nAnswer: 847962400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*q**2 + 16*q**2 + 52*q**2 - 21*q.\nAnswer: 24*q**2 - 21*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8884247611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -96? (a) 3\/8 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*q**2 + 8*q**2 - 24*q**2)*(2 - 1 + 1)*(1 + 5 - 3).\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to 1023\/1030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + sqrt(448) - (2 + sqrt(448))*2 - (sqrt(448) + 0 + 0 - (-4 + sqrt(448) + sqrt(448) + sqrt(448) + -2 + sqrt(448))**2).\nAnswer: -400*sqrt(7) + 7205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/251 (b) -17 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, s: 3, p: 2, d: 2}. Give prob of sequence ss.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 1, p: 1, z: 1, w: 1}. Give prob of sequence zlc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z\/(z\/((z**(-1)\/z)\/z*z))))\/z)\/z)\/((z*z**(-10))\/z*z))\/((z*((z*z**(-1\/8))\/z)\/z)\/z)**20 assuming z is positive.\nAnswer: z**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3617 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -70463 + 5?\nAnswer: -70456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 9*r - 14. Let i be c(6). Suppose 4*w - 3*w - 5 = 5*q, 5*q + 5 = -i*w. Let z be 4\/10*-5 - -5*1. Sort q, 8, 0, z in descending order.\nAnswer: 8, z, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 1. Let v(y) = -58 + 10*y + 133 + 10*y - 53 - 44. Give 44*q(l) + 2*v(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87680 is divided by 3507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67266 and 67266.\nAnswer: 67266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 829 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 times -0.07?\nAnswer: -3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 20*u**2 + 4 - 1 - 3 - 1 + u. What are the prime factors of i(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 117*s**2 - 5*s. Let y(n) = 2*n. Determine y(g(l)).\nAnswer: 234*l**2 - 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {l: 1, o: 1, i: 2, n: 1, t: 1, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 4760?\nAnswer: 4760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 10. Let n = v - 3. Suppose -q - n*q + 48 = 0. Calculate the least common multiple of q and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 0 = -4*d. Let k = d - -13. Calculate the highest common factor of k and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 7*w**2 - 2*w - 10. Let p = -99 + 106. Suppose 25*n + p = 24*n. Let c be k(n). Solve 6 = c*h - 6, -2*h = 2*s - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 4*z + 30. What are the prime factors of x(24)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1781 (base 11) to base 4\nAnswer: 203123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -134, -454, -1078, -2108, -3646, -5794, -8654?\nAnswer: -12328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 2*x. Suppose 0 = -0*o - x*o + 96. Solve -3*t + 0*t = -2*f + 7, -t + 5*f = o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -1, 22*n - 3*u + 43 = 46 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + j - 6. Is 11 a factor of s(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -1\/3*u**3 - 1\/12*u**4 - 5\/2*u**2 + 24 - 2*u. Determine h(-8).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1051*s + 0 + 0 - s**2 + 1051*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2 - r. Let p(h) = -h**2 - 8*h + 8. Let s(i) = -2*i + 3. Let u be s(6). Let x be p(u). Determine f(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2*w - 14. Suppose -5*m - 97 = -w. What are the prime factors of (-3)\/m + (-70)\/(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*w - 10. Let d be (w + -3)\/(13 - 1). Is d <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.68 + -0.16. Let r = -0.02 + w. Put r, -0.2, 2\/5 in decreasing order.\nAnswer: r, 2\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4 - 13*c**3 + 35*c**2 + 49*c = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7564, -4, -2 in descending order.\nAnswer: -2, -4, -7564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (-1 - -55)\/3. Let o be 8\/n*1*5. Let i be o\/7 - (-1680006)\/21. Round i to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgrg when four letters picked without replacement from {p: 2, r: 4, g: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669032385.\nAnswer: 3, 5, 7, 6371737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-132))\/((-1)\/2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 5246.\nAnswer: -13\/5246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.78419 days in milliseconds?\nAnswer: 413354016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -190*d**3 - 3*d**2 + 1042*d wrt d?\nAnswer: -1140*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1309, 1348, 1413, 1504, 1621, 1764?\nAnswer: 1933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -24, -64, -128, -222?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7840018647 to the nearest integer?\nAnswer: 1987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 484?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-11)*(75 + -108). Solve -d - 7 - 15 = x*b, -2*d - 14 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*s - 2 = 0, s - 58 = -3*m - 41. Put -330, 2, m in decreasing order.\nAnswer: m, 2, -330","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.172 and -342.3205.\nAnswer: -342.4925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*h + 1 + 5*h + 6*h)*(-2*h + h - 2*h) in the form o + n*h + j*h**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54292)\/(-840) + -57 + (6\/(-33) - 52\/440)?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 89*f**2 - 1587*f - 1488. What is b(-65)?\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**5\/20 + k**4\/3 - 11*k**3\/6 + 5*k**2\/2 + 21*k. Let m be x(4). Let q = m + -61. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.4 (b) 1300.604 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -69\/37 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 102020 (base 3) in base 11?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {r: 1, v: 1, w: 1, z: 2, b: 1, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*j + 9*j - 2 - 3*j)*(-133*j - 21*j + 57*j) to the form g*j**2 + r + d*j and give g.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*f = -38, -2*c = 5*f + 41 - 83 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.369 - 0.3461. Round k to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7095)\/10725 + (-6)\/(-13). Which is the second biggest value? (a) 1\/6 (b) -3\/11 (c) v (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/12*(3 + -5 - 1). Suppose -2*s - 23 = -5*g, s = -s - 5*g + 27. Let v = 0 + s. Solve 5 = -x*m + v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5393733567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11584447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59187 is divided by 1258.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b. Let x(p) = 8*p. Suppose -146 = -8*t + 22. Determine t*a(i) + 3*x(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 359855.92 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 135993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4545*q + 3995049. Give a(879).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 563 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 - 16. Solve -3*j = 5*k + w, k - 3*k + 9 = -3*j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6*-1 - 9\/27. Suppose -o - y + 55 = 2*y, -3*y + 9 = u. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 5*b - 33 + 23, 0 = 5*d - 3*b + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 612 and 7140.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3540305*y**6 - 13247110*y**2.\nAnswer: -424836600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 78684 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-2*b - 24 + 24)*(119*b - 4*b**2 - 119*b).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17010*m = 17015*m - 3*n - 10, -2*m - m + 6 = -4*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -8. Let n = 12 + o. Differentiate -4 + n + h**3 + 4 with respect to h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * -166.\nAnswer: -2822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 - 4*i**3 + i**3 + (0 + i**2 + 0)*(-190 - 78*i + 190) to the form t*i**3 + z*i**2 + k + g*i and give t.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l - 16. Let b be r(8). Let -2\/9*c**4 + 0 + 2\/9*c**3 + b*c**2 + 0*c = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -656 in -1\/9, -0.08, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191648?\nAnswer: 2, 53, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*v + 12*v - 81. Let g(s) be the third derivative of 1\/30*s**5 + 0 + 0*s - 3*s**2 - 1\/3*s**v + 0*s**4. Factor g(j).\nAnswer: 2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -7. Suppose 2*z = 4*g - 86, y*g - z - 81 = 2*z. Suppose -2*t + 3*k + g = -9, 4*t = -k + 73. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3*o - 18, 3*w - 18 = -2*w + o. Calculate the remainder when 10 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 + v**2 + 3*v**2 - 5*v**2 - 7*v**3 - v**3 + 2*v**3 - 3*v**3 + 3*v**3 - 7*v**3 + (-2*v**2 - 2*v + 2*v)*(-2*v - v + 5*v) + v**3 - 2 + 2.\nAnswer: -14*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.66, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -831560 to the nearest 10000.\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 - -220?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 2*k**2 + 7*k + 11. Let v be d(-3). Let j be 88\/(-89) - (v - (7 - 7)). Is -1 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -179 + 650 + 4*z - 3*z + 2*z - 2*z to v + p*z and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30 - -30) + -1 + 10\/13. What is the fourth biggest value in 0.1, -2, y, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(154) - (sqrt(154) - -2*sqrt(154)))\/sqrt(7))\/(sqrt(2) - sqrt(200)\/sqrt(4)))**2.\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d - 2. Let c be y(-2). Suppose -10 = 2*k, c*k = 3*l - 2*l - 17. Is (-2 - (l - -3)) + 43 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**3 - 5*a - 8. Suppose 22 = 7*j - 13. Let c(r) = -5*r**3 - 6*r - 9. Give j*c(f) - 6*q(f).\nAnswer: -f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159203, 160984, 162765, 164546?\nAnswer: 166327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 - 97. Suppose 4*y - 3*x - 1537 = 3*y, -7713 = -p*y + x. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 5:39 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**5\/30 + 2*y**2. Let u be 2*(-3)\/(-4 - -1). Let x(z) = 4*z - u*z - 6*z. What is a(x(v))?\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.8 - 0.2. Let m = 0 - n. Let k = m + -8.952. What is k rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50124 and 1956.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/13*215683\/(-706)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + 1aba41?\nAnswer: 1aba57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*f = 136, 4*f + 158 = -5*n - 191. What are the prime factors of (n\/9)\/((-1)\/3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 156952.86 milliseconds?\nAnswer: 2.615881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4341370 + 4341370 + 4259*o.\nAnswer: 4259*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2832808 or 2832805?\nAnswer: 2832808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 2*m + 198. Let r = m + -296\/3. Which is the second smallest value? (a) -2 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -537 (base 12) to base 5.\nAnswer: -11023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 29*c**7\/210 + c**5\/5 + 17*c**2\/2 - 15. Let a(q) be the second derivative of z(q). Find the third derivative of a(l) wrt l.\nAnswer: 696*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from biiiiiiiiiibi.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g - 3. Let o(m) = 91*m + 9. Give 6*a(k) - o(k).\nAnswer: -121*k - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q - 18. Let x(y) = -3*y + 9. Let d(v) = -4*o(v) - 7*x(v). Let w be d(-7). Suppose 0 = -w*n - 2*n. Solve n*f + 2 = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205762105 to the power of 1\/3, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 91*i**2 + 152*i + 298. Let t be u(-2). Calculate the highest common divisor of t and 13067.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - p + 21 = 0, 9 = -w - 3*p + 4*p. Let g be 202\/4 - w\/12. Calculate the remainder when g - 3\/(-5 + 2) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6976 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 0, 0.1.\nAnswer: -5, -3, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/13)\/(10965\/(-28509)).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -437 - -446. Let q(o) be the first derivative of -o**4\/4 + 3*o**3 + o**2 + 13*o - 1. What are the prime factors of q(r)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*q - 340, 4*q - 2*n = -74 + 402. Solve -22*f + q = -30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.7629 - 6.7629. Let l = 11.4 + -6.3. What is the second biggest value in 0.1, l, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, o: 3, g: 4}. What is prob of picking 4 g?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/11988810 and 92\/27675?\nAnswer: 59944050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191208 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27506 and 1802?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4598 + -4597.9999748. What is r rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {p: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-3 - ((-6 - (5 + -16)) + 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104 - -73. Let t = 3499 - 3500. Which is the second smallest value? (a) -2 (b) t (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 10*x**3 - 4 - 10.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/6619822 and -41\/31548?\nAnswer: 39718932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3 - 8704*y**2 + 60842*y - 52140 = 0. What is y?\nAnswer: 1, 6, 4345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*u**2 - 37*u**2 + 0*u**3 + 2*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1683835480.\nAnswer: 2, 5, 19, 2215573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(126)*-2 - sqrt(126))\/sqrt(3))\/sqrt(6).\nAnswer: -3*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89389913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6))\/(61\/((-24888)\/(-4420))).\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 229 + 528 - 141 = -q for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 78 - 114 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffehvxf. Give prob of sequence fhv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6863199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/6 + (-3 - -3) + (-130)\/78. Solve -4*j + 13 = r + 1, 0 = -q*j + 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(1584) + sqrt(1584) + 0 + sqrt(1584) - sqrt(1584))*-4 - -1*(-2 + sqrt(1584)))*-3*1)**2.\nAnswer: 3024*sqrt(11) + 698579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1096695, 2193399, 3290107, 4386819, 5483535, 6580255, 7676979?\n\"Answer: 2*a**2 + 1096698*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/7, 11, 66, -0.3, -246\/5, -0.1?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -4. Let w(a) = -2*a**3 + 2*a**2 - a. Let g be w(z). Let h be 2 + 1 + 1 + g. Solve -2*q + h*c = 2*c + 11, 4*q = 5*c - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 8*f**2 - 5*f + 9. Let t(h) = -5*h**3 + 33*h**2 - 20*h + 36. Let c(y) = 2*t(y) - 9*v(y). Let d be c(-7). Sort -15, d, -1 in decreasing order.\nAnswer: d, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7 + 4 - 4 - 22*h - 14*h. Is y(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/(-6))\/((-1266)\/(-423) - 3) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 32 + 0*i + 1\/5*i**5 - 25\/3*i**3 - 1\/120*i**6 + 0*i**2 - 2*i**4. Let j(b) be the third derivative of w(b). Factor j(s).\nAnswer: -3*(s - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*(k**(24\/5)\/k)\/k))*k\/(k*k**(-6\/19))*k*k**(-30)\/(k*k\/(k\/(k\/k**(-1\/6)))*k))**(-3\/28) assuming k is positive.\nAnswer: k**(15989\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -490 - -2105. What are the prime factors of m?\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -11 (b) 1297 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 461591+-5\nAnswer: 461586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = a + 268*v + 274*v - 540*v - 0, -5*a - 13*v - 78 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000982549 rounded to seven dps?\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5\/8 + t**4\/2 + t**3\/8 - 3*t**2\/4.\nAnswer: t**2*(t - 1)*(t + 2)*(t + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + 3)*-6 - 1*sqrt(72)*-3)**2.\nAnswer: 648*sqrt(2) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-four fifths of a century?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98269213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*b - 9435 + 11019 = 0 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14310 is divided by 2794.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11754082*b**4 + 10*b**2 + b + 10896?\nAnswer: -282097968*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120110120 (base 3) to base 6.\nAnswer: 355153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/105*1)\/(2\/(-20))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3864 + -1278834.\nAnswer: -1278834.3864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 285\/112 + 5\/16. Suppose -2*t - 26 = 5*j, 22*j = 24*j + 12. Factor 4\/7*f**4 + 0 - 12\/7*f**3 + 4\/7*f**5 - 8\/7*f - p*f**t.\nAnswer: 4*f*(f - 2)*(f + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - -41)\/(0 + 1). Suppose -g = -4*x - 0*g + 50, -4*x - 2*g = -v. Let y = x + -7. Sort 2, -1, y in ascending order.\nAnswer: -1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/22 - 675834768\/(-99). Suppose d = -5*g - 2873386. Round g to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 5*l - 1. Is (-1725)\/l - (-4)\/22 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/42 and -35\/2826.\nAnswer: 19782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4096 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -348*w**2*y**4 - 2*w**2 + w*y**4 - 4*y**2 wrt y.\nAnswer: -8352*w**2*y + 24*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7580990 to the nearest integer?\nAnswer: 2753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Let j(g) = 11*g**2 + 440*g + 1207. Calculate j(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 2*l - 4*l + 1 - 1 - l + (-2*l + l + 0*l)*(0 - 1 - 1) + 11 - 11 - 4*l - 2*l - 3*l + 4*l)*(-l - l + l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -19864 divided by -52\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = 48*f - 1411 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 - 20*u**2 + 18*u - 1. Let l be v(9). Let n be (-1 - 4) + 5 + l + 44. Calculate the greatest common factor of 43 and n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2. Let p(l) = 31*l + 192. Let c be p(-6). Let i(f) be the third derivative of 0*f - 13\/60*f**5 - c*f**2 + 0 + 0*f**4 + 0*f**3. What is h(i(m))?\nAnswer: 169*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2128 + 10335. What are the prime factors of c?\nAnswer: 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -625\/44 in -1, -0.02, 5, 163, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-3))\/x**(2\/3))\/(x**0)**(-3\/13))**(2\/119) assuming x is positive.\nAnswer: x**(20\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94790 or 94791?\nAnswer: 94790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 55 = 5*c, 0*w = 5*w + 20. Calculate the least common multiple of 60 and ((63\/2)\/c)\/(1\/4).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - -151953a?\nAnswer: 151952a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7*(-2 - 24\/(-21)). Let r be -3 + 1 + -1 + 0. Let z be 2 + (-1)\/(r\/f). Solve 8 - 24 = -z*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148154, 148237, 148368, 148541, 148750?\nAnswer: 148989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2476*h - 5709*h - 2797*h)*(4 - 1 - 1)*(2 - 3 - 1).\nAnswer: 24120*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + 155227 - 155227. Let n(y) = 27*y**2 - 4. Give m(n(l)).\nAnswer: -1458*l**4 + 432*l**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64533.3027009 + 7199870.6972791. Let g = 7264326 - a. Let i = g + 78. Round i to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*a = 86*a + 98 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j**3 - 2360*j**2 + 4*j - 1028. Determine d(236).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7310*j**2*y - j**2 + 4*j + 172712*y wrt j.\nAnswer: -14620*j*y - 2*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(-2 + 2\/8). Suppose -4*u = -n*u + 78. Suppose r = -c + 12, 2*r - 2*c + 9 - 21 = 0. Calculate the remainder when u is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4523 (base 8) in base 14?\nAnswer: -c27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 3, -2\/7, -24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327 = 4*l - d, -4*d - d = -4*l + 307. Let w = -81 + l. Factor h**4 - 50 - h**4 + 35*h**w + 5*h + 11*h**3 + h**4 - 2*h**2.\nAnswer: (h - 1)*(h + 2)*(h + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -147*c - 206.\nAnswer: -147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11606377?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011010 (base 2) in base 7?\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58444, -236474, -533200, -948628, -1482764, -2135614?\nAnswer: -2907184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (9 - (-4 + 16) - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 357744 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 + (32 - 36).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23153723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5197810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -252.0278 + 252. Let k = h - -0.006. Let b = -0.015 - k. What is b rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + 11*b**2 - 2*b - 5. Let s(m) = -m**3 - m**2 - m - 1. Let x(c) = h(c) + 3*s(c). Let q be x(7). Let t = 7 - q. Solve -k = 2 + t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7342 + 7341.97. Suppose v = 2*f + 3*f + 24, 3*f = -15. Which is the third smallest value? (a) z (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 1984776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -15*o**2 - 29*o + 18. Let h(b) = 7*b**2 + 14*b - 8. Let z(m) = 4*a(m) + 9*h(m). Let g(c) = c. What is g(z(r))?\nAnswer: 3*r**2 + 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6600 (base 8) in base 9?\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v**4 - 80*v**3 - 600*v**3 - 36*v**4 + 1770*v**2 - 5*v**5 - 25410 + 12925*v + v**4 - 59*v**4 = 0. What is v?\nAnswer: -11, -7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26 (b) -7 (c) -94598\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 4\/(-3)*-3. Suppose -z*j = -6*j + 36. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 747629\/16561909 - -1\/110782. Do g and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44486.\nAnswer: 2, 13, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 16 = 3*f + f, -4*u = 4*f + 16. Let p = -109\/6 - -18. Which is the third smallest value? (a) p (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17496 and 22952808.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -493\/126 + 91\/18. Suppose -4\/7*v + o*v**2 + 0 = 0. Calculate v.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 + 114. Let m = 4.41 + -0.41. Let i = 2 - 5. Put m, i, o in descending order.\nAnswer: m, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 e when three letters picked without replacement from ptmffefpffepmufff?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 800060886?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_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: How many minutes are there between 2:39 PM and 8:35 PM?\nAnswer: 356","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 p when four letters picked without replacement from {j: 7, p: 4}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -3.12. Let a = 221 + -219.12. Let x = a + f. Is -1\/3 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2)**(-3)*(r\/(r*r**(-2\/9)))**(-3\/34) assuming r is positive.\nAnswer: r**(-307\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3216598 and -0.5.\nAnswer: 3216597.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/21 (b) 47 (c) -9386 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2136*f - 7 + 593*f + 1674*f. Let p be h(-6). Is 6\/(-27) - p\/45 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*g**2\/3 - 88*g + 104\/3.\nAnswer: 2*(g - 26)*(5*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((24\/(-9))\/(-4))*(-3486)\/747.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 172, 256?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 333666 in increasing order.\nAnswer: -3, 5, 333666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 271*i**2 - 37487*i + 107. Give l(-85).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i**3 - i**2. Let w be j(-1). Suppose w = 2*z + 3. What is the greatest common factor of z and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*f - 75 - 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.064, -0.17575, 1.1?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -871 - -673. Let u be (-2)\/(1 - -1)*p\/792. Which is the smallest value? (a) u (b) 0.09 (c) 2\/13 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5069575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38126884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25555 - -25690. Let y = 2.35 + -138.35. Let g = y + i. What is the second smallest value in -2\/7, 0.4, g, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-5)*l*l*l\/l**(-4\/7))\/(l*l**0*l**0) assuming l is positive.\nAnswer: l**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 10:05 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*1*(-11 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839487390 a multiple of 1315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 - 10*h + 4. Determine m(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96908426 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 - (-60 + 65 - (-43 - -36)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22950 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 418.6 + -419. Which is the nearest to -3? (a) 1\/9 (b) j (c) 2\/15 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.209227 millimeters in nanometers?\nAnswer: 2209227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a*a\/a**(-11\/4)*a)\/a)*a)\/a)\/(a**(-1\/15)*a*a))\/(a\/a**(2\/29)*a*a**(-15)) assuming a is positive.\nAnswer: a**(12851\/1740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4 - 417*g**3 - 2016*g**2 - 780*g + 3216 = 0 for g.\nAnswer: -134, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from fiqmpmn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u + 4. Let m be b(3). Let r be (m\/10)\/(1\/2). List the prime factors of (33\/(-9))\/(r\/3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdvddvvv. What is prob of sequence dvdv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29632*w**3 + 29651*w**3 - w**2 + 50*w - 59267*w**3.\nAnswer: 16*w**3 - w**2 + 50*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -58.25 and -0.2.\nAnswer: -58.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -9*r + 25. Factor -2*g**5 + 4*g**3 + 0*g**r - g**3 - g**3.\nAnswer: -2*g**3*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 divided by 5?\nAnswer: 456\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4223345 rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/9)*z*z)\/z**(1\/3))**(-4\/21)\/((z*z\/(z**(-1)\/z))**(4\/5)*z**6\/z*z**(-6)) assuming z is positive.\nAnswer: z**(-2399\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -771*u + 530*u - 2996 = -12877 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -6.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*v**3 + 115*v**3 + 72*v**5 - 74*v**3 + (v**3 - v**3 - v**4)*(3 - 3 - 2*v) + v + 3*v - 2*v + v**5 + (-2*v**5 + 0 + 0)*(0 + 0 + 2).\nAnswer: 71*v**5 + 3*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/15*-1 - -3. Suppose 52 = -79*i + 105*i. Determine p so that 2*p**i - 2\/3*p**4 + y*p - 2\/3*p**3 + 4\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*b + 36 + 24. Let w(o) = -284*o + o**b + 285*o - 6*o**2 + 4*o**2. Suppose -3*y + 2 = -4. What is w(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (190092\/(-19002))\/(-2) + (-2 - 3). Let c = d - -250073\/63340. Find the common denominator of (-2)\/24*(-154)\/3 and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 161106*i**5 - i**4*v + 2*i*v - 28710*v - 4 wrt i?\nAnswer: 3222120*i**3 - 12*i**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -2, -0.01 in descending order.\nAnswer: -0.01, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r - 6. Let n be i(-11). Suppose -3*v - 4*c + 22 = 0, -v + 5*v - 3*c - n = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 2)\/(-4 - -3). Suppose d*j + 3*j = 3*v + 39, -1 = -j - 5*v. Solve -j = 4*q + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204\/80 - (2 + (-60)\/(-75))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5244*n**3 + 109*n + 29?\nAnswer: -31464*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-562)\/843*(-12)\/14\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70\/27 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079?\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 - 3 - -4) + 3 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498725?\nAnswer: 5, 19949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61623416*i - 28201219.\nAnswer: 61623416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4702215 rounded to four decimal places?\nAnswer: 0.4702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -6336, -2, 3, 21 in decreasing order.\nAnswer: 21, 3, -2, -6336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176478?\nAnswer: 2, 3, 67, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22723 or -22721?\nAnswer: -22721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/2 (b) 0 (c) -0.2 (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24791 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o**2 + 3*o + 3. Let i(v) = -37*v**2 - 13*v - 11. Let s(l) = 4*i(l) + 18*u(l). Let f be s(-4). Suppose 6*r - f + 46 = 0. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 118?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0 (c) -1043\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2. Let n(w) = 14*w**2 + 6*w**2 - 19*w**2. Give v(n(h)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 8. Let c be 8\/(-6)*(-18)\/4. Let j be m(c). Suppose r + 3*b + 2*b = -8, b + 6 = j*r. Let y(p) = -2*p + 1. What is y(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68618 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4541\/13760 - 53\/172. Let d = 1301\/960 - j. Let -d + 32\/9*n**2 + 4\/9*n**3 - 2\/3*n**5 - 20\/9*n**4 + 2\/9*n = 0. What is n?\nAnswer: -3, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.141 - -0.078.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28712 and 194.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000011001110 + 11100111110001?\nAnswer: -11011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 17 = -4*l - 0*j, 17 = -l + 4*j. Solve 13*g = 16*g - l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 + 6*f - 7. Let v be t(-5). Solve 5*k + 14 - v = -3*m, 0 = -k - 2*m + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 168, 171?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 3. Let u be t(7). Let d(r) = -r + u*r**2 - 13*r**2 + 10*r**2. Give d(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a. Suppose 16*i - 19*i + l = -4, -12 = -i + 3*l. Let x(j) be the second derivative of -8\/3*j**3 + i - 13*j + 0*j**2. What is x(o(w))?\nAnswer: -32*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 221*g - 14. Let a(y) = -2*y. Calculate a(p(x)).\nAnswer: -442*x + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, 0.2, -12050?\nAnswer: -12050","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -243*h**6\/200 - 81*h**5\/50 - 9*h**4\/10 - 4*h**3\/15 - 21*h**2. Find x such that c(x) = 0.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one eighteenth of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1213818.\nAnswer: 2, 3, 101, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19888 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -85 in increasing order.\nAnswer: -85, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1488)\/(-64)*2320\/87. What is the highest common divisor of x and 11005?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c + 3*c + 4*c + c + 3*c - 5*c + (0*c - c + 2*c)*(0 + 3 - 1) + 3*c + 0*c - 4*c - c + 2 - 2 - 182*c + 435*c - 243*c - 178*c to y + f*c and give f.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(200) + sqrt(200) + (sqrt(200) - (sqrt(200) - (sqrt(200) + sqrt(200)*-3*-2))))**2 - sqrt(200)) + (sqrt(200) + -5 + -1)**2 + 1.\nAnswer: -130*sqrt(2) + 16434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3672 and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**4\/7 + 52*t**3\/7 + 298*t**2\/7 - 352*t\/7 = 0.\nAnswer: -16, -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/3))**(-1\/2) assuming x is positive.\nAnswer: x**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 3*g**5\/5 - 63*g**4 + 82*g**3 + 126*g**2 - 249*g - 93. Solve f(l) = 0 for l.\nAnswer: -1, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 86398*d**2 + 38*d + 120858. Let l(z) = 6646*z**2 + 3*z + 9297. Let j(g) = 3*b(g) - 38*l(g). Find the first derivative of j(f) wrt f.\nAnswer: 13292*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 6046515?\nAnswer: -6046516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 minus 0.17423648026?\nAnswer: -0.77423648026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -108, -103, -98, -93, -88, -83?\n\"Answer: 5*t - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (81 - -9) + -112 - 45?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9167.83l in millilitres?\nAnswer: 9167830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 17*i + 547. Determine f(-74).\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 3*t + t. Calculate the remainder when 27 is divided by (-86)\/t - (-2)\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2915253.\nAnswer: 3, 11, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90124.2 litres to millilitres.\nAnswer: 90124200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 82724076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6.726841nm?\nAnswer: 0.000000006726841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + o**2 - 4 - 6 + (2*o - o - 2*o)*(o - 5*o + 3*o).\nAnswer: 2*o**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501322.\nAnswer: 2, 367, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 53610 rounded to the nearest one thousand?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/477865 and -47\/77075.\nAnswer: 2389325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 3*r**3 - 20*r**3 + 3*r**3 + 0*r**2.\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 157509435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 - 6*c - 4. Is 14 a factor of x(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0881106 times -2?\nAnswer: -0.1762212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1602 is divided by 226.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*i + 10 = 0, -3*g + 15 + 15 = 5*i. Suppose -5*c - 14 = 4*r, 6 = -2*r - 3*c - 0*c. Suppose 0 = 10*u - 6*u + 20. Sort g, r, u.\nAnswer: r, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 197081*y - 197081*y + 238*y**2. Let z(o) = o**2 - 8*o. What is z(k(l))?\nAnswer: 56644*l**4 - 1904*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1021 - -1?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 46 = -1. What is the smallest common multiple of 10 and (-30)\/t*6\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 - ((15 - 2) + -11) - 3\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -35.09. Let r be (0 - (-2 + -760))*(-1)\/10. Let m = r - -76. What is the second smallest value in m, -2, -3, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/9)\/(2\/(-9)). Let z = -57 + 54. Let j = d + z. Solve c = -1 + j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 9:17 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-406)\/(-87))\/((-14)\/(-36))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 167040 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*i - 20, s + 3*s + 35 = 5*i. Solve -5*n - i*h = -6*h + 23, -2*n = -4*h + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 2689218.\nAnswer: 26892180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*-2*(-1)\/2. What is the second derivative of -y*t + 6*t + 2*t + 2*t**2 wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.606206 rounded to the nearest integer?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 0*c**6 + 3*c - 1\/6*c**4 + 0 + 0*c**7 + 0*c**2 + 0*c**5 + 1\/56*c**8 + 0*c**3. Find the third derivative of n(w) wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 17*h.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*(sqrt(832) - (-4 + sqrt(832))*3)*2.\nAnswer: -640*sqrt(13) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f + 16. Let q be (3 - 3) + (-4 - 1). Calculate the remainder when v(q) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 0*m = -20, -5*m = 4*y + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121923439.\nAnswer: 11, 17, 651997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 61*a = -57*a + 29, 3*o - a = 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6420.0006022 + 6420. What is z rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.35, 407\/4, 3 in ascending order.\nAnswer: 0.35, 3, 407\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 - 191 = -10*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 412061.2 millennia in years?\nAnswer: 412061200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-14)\/(-2) + -2. Let u(x) be the second derivative of -x**4\/12 + 2*x**3\/3 + 3*x**2 - 3*x + 50. What is u(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -81415628\nAnswer: -81415627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -18*z**2 + 7*z + 27. Let l(o) = 9*o**2 - 4*o - 13. Let f(y) = 4*h(y) + 7*l(y). Differentiate f(s) with respect to s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 7:00 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -254 * -2283.\nAnswer: 579882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9239 - 0.0761. What is the nearest to 0 in -44, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.56 * -7135\nAnswer: -25400.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -2. Let a(h) = -10*h**2 + 61*h - 10. Let r be a(6). Sort -6, k, r.\nAnswer: -6, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.03 (b) -2\/17 (c) -3 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*t + 2*c, -t = c + 3*c - 5. Let o(v) = v**2 + 3*v. Let r be o(t). Does 18 divide r - 2*9*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1154634 - 5475366. What is g rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-3 + 1)*5499\/94. What is the greatest common factor of u and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 5*b - 10)*(-b**2 - 3*b**2 + 2*b**2) + 0*b**2 + 0*b**2 + 3*b**3 + 5*b**3 + 0*b**3 + 0*b**3 as t*b + h + k*b**2 + g*b**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 11:02 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 1 - 3)*(-p + p - p)*(-2 + 1 + 2) + (-2 + 2 - 1)*(-237*p + 120*p - 206*p))*(0*p - 3*p + 0*p) in the form d*p + w*p**2 + t and give w.\nAnswer: -975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/11 (b) -12 (c) 0.5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5890 + 5882)\/(2\/8).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14566?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t - 90. Let u(a) = 2*a - 60. Let m(n) = -13*n - 5. Let k be m(0). Determine k*i(f) + 8*u(f).\nAnswer: f - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 6 = i, h + 5*i + 22 = 0. Let u(p) be the first derivative of 2 + 2\/3*p**h + 0*p - p**2. Factor u(x).\nAnswer: 2*x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - o - 1. Let y(c) = -85*c**2 + 65*c + 80. Let j(d) = 3*d**2. Let x(p) = 10*j(p) + y(p). Let k(u) = 30*f(u) + x(u). Find q such that k(q) = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 710696 and 296?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -15*x**2 + 817*x + 38. Calculate the smallest common multiple of 8 and n(54).\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -8*g + 5*g + 1, -12 = -5*g + 2*w. Suppose 0 = 11*r - 31 - g. Factor -2\/3 + 2\/3*f**2 + f - f**r.\nAnswer: -(f - 1)*(f + 1)*(3*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.78 - 0.88. What is the nearest to m in -0.9, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 9:03 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000078801 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-101)\/(112413\/(-212)))\/((-1)\/(-18)*-1). What is the fifth biggest value in -3, 4, -2\/17, -11, r?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p = -19*p - 90. Let f = p - 17. Which is smaller: f or -1\/71?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 5*g + 357 - 314, -k + 18*g - 20 = 0 for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 58. Let j be h(-20). Let v be (j - 2)\/4 + -6 + -4. Let f(s) = -s**3 - 2*s**2 + 2*s + 15. What is the tens digit of f(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - 26. Suppose 4*i - 14 = 2. Suppose -i*s + s + h = 0. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 119*q - 111*q. What is the lowest common multiple of q and 37?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -653 - -1078. Let v = u + -315. What is the greatest common divisor of v and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, o: 7, d: 3, p: 2}. What is prob of picking 1 p and 1 l?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.9202, -1\/2 in descending order.\nAnswer: 4, 0.9202, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02 and 2000959397.19.\nAnswer: 2000959397.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1661 + -1660.59. Put d, 2\/5, 5 in decreasing order.\nAnswer: 5, d, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-1*6)\/(-2*sqrt(72)) - (-4*(sqrt(833) + -2 - sqrt(833)))**2*6.\nAnswer: -384 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*n + 27368 = 0, 36*n - 34*n = 2*k - 18242. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 6 - (101 - 103)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 48. Let q(w) = -8*w - 10*w**2 + 12*w**2 + 3 + w**3 + k*w**2. Is q(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/65)\/(-6 - 1242\/(-210))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2. Let a(j) = -8*j. Let y(h) = 4*h. Let t(v) = 2*a(v) + 5*y(v). Determine t(n(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -5) + -4*(-1)\/(-2). Let x be (-30)\/((-6)\/o) - -1. Suppose w - x*w + 1285 = 0. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/21*5\/(90\/84)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 91819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133624 (base 9) to base 10.\nAnswer: 81427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {n: 1, b: 2, d: 2, v: 1, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -ac6 (base 15) to base 14\nAnswer: -c60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 39\/12 - 1\/4. Let a(z) = 4*z**3 + z**2 + 6*z**3 + j - 3. Let y be a(1). Let p(w) = -6*w - 16. Let t(d) = -d - 3. What is y*t(h) - 2*p(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20\/1149 - 121\/383. What is the biggest value in 4, -2, h, 13, -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20188 and 1981308.\nAnswer: 13869156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 148 + 139. Suppose 0 = 8*m - 6*m + 3*u - r, 5 = u. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 3*(-28)\/12. Suppose -1 = 2*c - 5. Solve 0 = 5*z - c*z + 3*k, -3 = -2*z - f*k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - ((-26 - (-19 - -9)) + -13).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**3 - 21*p**2 - 6*p - 5. Let z be 5 + (10 - (-18)\/(-3)). Is 14 a factor of c(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*j + 12, -j = -0*g + 5*g + 10. Let h be 2\/(-4)*(-62)\/3. Let p = h - j. Which is the nearest to p? (a) 1 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 - 3132*s\/7.\nAnswer: 2*s*(s - 1566)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2462 = 11*i + 2517 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-5))\/(1\/(-5)). Let o(y) = -y + 14. Let p be o(7). Suppose q - 4*n - 19 = 0, -40 = -3*q + z*n + p. What is the remainder when q is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 6) in base 10?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25767 divided by 7.\nAnswer: -3681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -63*d**2 + 24*d - 5. Let l(g) = -93*g**2 + 37*g - 6. Let x(w) = 7*b(w) - 5*l(w). Let i(k) = 6*k**2 - 4*k - 1. What is 9*i(z) - 2*x(z)?\nAnswer: 6*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 4:13 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111965922 is divided by 87?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w + 14*w**2 + 5*w**2 + 3*w**2 - 2*w. Let z(f) = f + 7. Let c be z(-6). Let s be h(c). Calculate the highest common factor of 115 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.7 - 8.7. What is the closest to -2 in -6\/5, 0, l?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -6. Let j be ((-2)\/v)\/((-16)\/(-12)). Let h = 37148 + -37146. Which is the smallest value? (a) 4 (b) h (c) j (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 165*r**6 + 91*r**2 wrt r?\nAnswer: 19800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/(-18))\/((-2)\/(-20)). Solve 0 = -2*k + 2*p, -1 = -f*p + 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 204\/48 - 2\/8. Suppose -16*r = -a*r - 876. Calculate the common denominator of (r + -11)*(-1)\/(1 - -31) and -91\/222.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r - 448. Let a(d) = -d - 1. Let i(u) = -5*a(u) + s(u). Let c be i(0). Let g = 722 + c. List the prime factors of g.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j - 10. Let o be q(7). Suppose 0*n - o*n = -8. Suppose -5*s + n*x + 12 = -58, -2*x = -s + 14. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -302131*h**6 - 29677*h**2.\nAnswer: -36255720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - -43?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-4 - -5) - 5) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23523 (base 6) to base 8\nAnswer: 6553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 632734, 632706, 632660, 632596?\n\"Answer: -9*o**2 - o + 632744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 424 and 44573.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5670655.\nAnswer: 5, 797, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 6:42 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15*(24\/(-45) - 6\/45). Suppose p*s - 3*s = 14. Let l be -1 - (-9)\/s - (-21)\/(-14). Solve 2*g = 4*n - 22, -2*n = 3*g - 9 + l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -80*x**4 + 81*x**4 - 53*x**4 + (-3*x**2 - 7*x**4 + 3*x**2)*(3 - 5 + 0).\nAnswer: -38*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*u + 1. Suppose m = u*m - 84. Let n = m - 41\/2. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 a factor of 25156391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s = 11*s + 135. Suppose -169*j = -172*j + s. Solve 0 = 3*n - 12, 0*m - m - 3*n + j = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 - -67.7. What is x rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 9, 1\/18610?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**(-4)*j)\/((j*j**1)\/j))**(31\/4) assuming j is positive.\nAnswer: j**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i + 56. Let k = -2256 + 2363. Calculate the remainder when k is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 1. Let m be w(15). Let h = m + -7. Differentiate 5*l**2 + 2*l**2 - 2*l**2 + h with respect to l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.34, 0.2, -4481, -2, -1?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/6 and 3 - 115\/(-6) - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wznzznzznnz. Give prob of sequence zn.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -10260, 3, -6, 1 in decreasing order.\nAnswer: 3, 1, -6, -10260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21251 + -2255?\nAnswer: 14552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-2\/27)\/b*b*b*b)\/b)**34 assuming b is positive.\nAnswer: b**(2686\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -548*c + 5298. Give m(10).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33016 + -6?\nAnswer: -33023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7364 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4114 divided by -143?\nAnswer: -374\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - (0 - -1)) + 276\/(-23). Let b be 30\/(-12)*a\/15. Solve -6 - 4 = -b*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -202*q - 145*q + 24*q + (-3*q + q + 3*q)*(0 + 1 + 1) + (3 + 1 - 5)*(0*q + 4*q - q).\nAnswer: -324*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000023528523 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/5 - 12\/10. Let x be -9*(-1)\/6 - (-14)\/(-4). Is a less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3762*f**2 - 3758*f**2 + 3 - 1. Let q(j) = -2*j**2. Calculate t(q(v)).\nAnswer: 16*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*b**2 - 35*b**2 + 23*b**2 + 27*b**3 + (-2*b - b**3 + 2*b)*(-1 + 0 + 4).\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from nlzofozzznzzzzzzzznz.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009439 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 12*h = -55419. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + t**2 - t + 1. Let x be c(0). Suppose x + 2 = o. Suppose o*q = 9 - 0. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 1, -291 in ascending order.\nAnswer: -291, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 p when three letters picked without replacement from yppqqbttqqpqpgpp?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 21*q**5\/5 - 132*q**4\/5 - 81*q**3 + 168*q**2 + 804*q\/5 - 288\/5 = 0?\nAnswer: -3, -1, 2\/7, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1959 and -0.44?\nAnswer: 861.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1062 in 120, 2, 44, -3?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4059*z**2 - 4*z**3 + 5*z**3 + 4019*z**2 + 2*z**3.\nAnswer: 3*z**3 - 40*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from wiiwhweewiwhhwhww.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-20)*4 + -1. Suppose d = 450*l - 449*l + 164. What is l rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -11*x**2 - 21*x - 13. Let w(z) = 5*z**2 + 10*z + 6. What is 6*u(q) + 13*w(q)?\nAnswer: -q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -94b64 (base 13) in base 6?\nAnswer: -5423414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1924 and 291148?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/3))**(-15)*a*a**3*a*a**(-1\/6)\/a)\/(((a*a*a*a**(2\/15)*a)\/a)\/(a**7*a*a*a*a)*a*a**(-2\/17)*a\/((a*a*a\/(a**(-3)\/a))\/a)) assuming a is positive.\nAnswer: a**(989\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 10. Let w be g(5). Suppose w = 2*u - 15 - 25. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + -60. Let n(w) = 2*w**2 - 29*w - 20. Let y(g) = 2*g + 2*g**2 - 8*g - g**2 - 7 - 4*g. Let j(k) = c*y(k) - 4*n(k). Suppose j(d) = 0. Calculate d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/1)\/(5 - 7). Suppose 20 = 2*a - 2*g - r*g, 3*g + 9 = 0. Calculate the greatest common factor of 28 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**7*d*d**3*d)**(-10\/7) assuming d is positive.\nAnswer: d**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2761 - -2758. Let u = -0.06 - -0.06. What is the nearest to u in z, -8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9225 and 113?\nAnswer: 1042425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47414 and 453.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 10*n = -23845. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)*2 + sqrt(120) - sqrt(120))\/sqrt(10) + (-3 + (sqrt(15)*-1)\/sqrt(5))**2.\nAnswer: 12 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7*d. Let c be (222\/(-555))\/((-2)\/20). Suppose 0*y - 39 = -3*y + c*m, d = -3*y + 3*m + 42. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pync when four letters picked without replacement from apaannacauuuyau?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b + 2. Let k(d) = 16*d - 1. Let j be k(-1). Let f = -10 - j. What is the remainder when u(-2) is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*a + k, -5*a + 83 = 2*k + 7. Let v = a - -482. Suppose 6*c - v = -0*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, -10687, 4 in ascending order.\nAnswer: -10687, 4, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*(k\/k**23)\/k)\/k*k))\/k)\/k**(1\/34) assuming k is positive.\nAnswer: k**(747\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 19*d**3 - d - 18*d**3 - 4*d**2 + 0*d + 7. Let p be i(4). Sort -0.4, 3\/7, p in increasing order.\nAnswer: -0.4, 3\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1365203 (base 7) to base 15.\nAnswer: 39912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 85535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 + 139 + 13*d**3 - 313 - 4*d**3.\nAnswer: 9*d**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 12*g = 7*g - 1628, 2*g = -2. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 g, and 2 z when four letters picked without replacement from {i: 3, z: 2, e: 1, g: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 705262*u**2 - 562855*u + 2?\nAnswer: 1410524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 158\/9 + -31\/18. Find the common denominator of 23\/30 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, g: 11}. Give prob of sequence wggg.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1783822599?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t - 800 = -13*t - 128 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/37155?\nAnswer: 1\/37155","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: (5 - -8) + -16 + 4 + (40 - -6)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Calculate 1.2 + -0.2587.\nAnswer: 0.9413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llueezezlbzzzlz. Give prob of sequence bz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.2, 3\/7, 20.229, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 4 - 21) + 667 + -670?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y + 4. Does 10 divide o(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 9:17 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13167739705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -56*x**7\/5 + 587*x**5\/30 - 1534*x**2. What is the third derivative of l(q) wrt q?\nAnswer: -56448*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + 0 - (-86 + 124)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -496 - -499. Let n = -71 - -71.2. Which is the second biggest value? (a) j (b) -0.05 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 899.16719 to zero decimal places.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 13) in base 4?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -223*p**3 + 2*p**2 + p. What is a(-1)?\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -9*o**2 + 9*o - 2. Let f(a) = 31*a**2 - 26*a + 11. Let y(l) = 46*l**2 - 39*l + 16. Let s(n) = 7*f(n) - 5*y(n). Give 7*g(v) - 5*s(v).\nAnswer: 2*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -192*l + l**2 + 0 - 6 + 188*l. What is k(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*z - 70 = -17. Is z equal to 12\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*s + s**3 - s**2 - s**4 + 1 + 5 + 0*s**2 to w + x*s**3 + j*s**4 + i*s**2 + t*s and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9339 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10202440 + 30?\nAnswer: -10202410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 371 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(56)*-1 + sqrt(14)))\/(sqrt(42)\/(((sqrt(24) - sqrt(24)*-1) + sqrt(24))\/sqrt(4))))**2*1.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 7) + 59 + -17 + -27.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 43079.5582 to the nearest 100.\nAnswer: 43100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -i - 13, -2*i - 34 = -2*c - 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7726.294 millennia to decades.\nAnswer: 772629.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**13\/r**(-4\/3)*(r*r*r**10*r)**(-13) assuming r is positive.\nAnswer: r**(-464\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-967*i - 195*i - 1089*i)*(i - i - i**3) + 3*i**4 - i**2 + i**2.\nAnswer: 2254*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -1345251?\nAnswer: 1345248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = 5*n + 1, -3*g + n + 7 = 0. Solve -21 = -g*c - 3*p - 7, 14 = 4*c - p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/(-20)*(-14)\/(-1). Let g = -5 - m. Calculate the highest common factor of 112 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 3\/31, 2, -0.3?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.00000136 - -16. Round v to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -155, 0.4, -7, 0.15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-5 - -21) + (-2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -976 - -1365. Let c be (-194)\/(-8)*112\/7. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 0*j**2 + j**2)*(8*j + 3*j + 6*j).\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**6\/225 - 2*z**5\/25 - z**4\/2 - 10*z**3\/9 + 2*z - 67. Solve x(d) = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g = -43*g + 60. What is the least common multiple of g and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/((-247)\/52).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796351 is divided by 265438.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 38 + 9 + -18 + 2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255259.\nAnswer: 255259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -19 - -1 - ((-8 - -5) + 3). Let l be (3\/9)\/((-2)\/t). Find y, given that -4\/5*y + 18\/5*y**2 - 8\/5 + 1\/5*y**l + 3\/5*y**5 - 2*y**4 = 0.\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 2, -206\/3.\nAnswer: -206\/3, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**6*h*h**9)**47*(h**0)**10*h**(-4)*h**7 assuming h is positive.\nAnswer: h**802","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18180 by -202.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 z when two letters picked without replacement from {s: 2, z: 8, q: 4}.\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 125?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in 4, 0.2, 0.1416?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2725 - -2732. Solve 0*k + 4*i - 14 = -5*k, -4*k + i + h = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - (-13 + -3))\/((-3)\/(-2)). Let b = -11 + 23. Let d = y - b. Solve 2*c = -4*h - 8, c = -2*h + 3*c + d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-162)*-9*1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o - 2. Let r be z(2). Suppose r*u - 22 = 50. Solve -4*f + 3 + 4 = l, -3*l = 3*f - u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -2*t - t. Suppose -63 = -4*f - 5*a - 1043, 940 = -4*f + 5*a. Let q = -1043\/4 - f. What is the common denominator of t and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.039 * -0.74.\nAnswer: 0.02886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 17721.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 1. Let o(n) = -n**3 - 5*n**2 - n + 5. Let l be (-540)\/(-55) + (-6)\/(-33). Calculate l*i(b) - 2*o(b).\nAnswer: 2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - -39?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*y - 5*b = 21, 5*y - 2*b - 36 = 0. Calculate the greatest common factor of y and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/6))**(-3\/7)*t\/t**(-36)*t**(31\/5)\/t)**44 assuming t is positive.\nAnswer: t**(64878\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 20 = -5*a - 4*h, 0 = -4*a + 3*h + 10. Solve -b - a*m + 21 = 0, b - 3*m + 7 = -0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62061913 to the power of 1\/3, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyzz when four letters picked without replacement from yyyyzyzzyyz.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3)*(-15)\/(12\/4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a week in minutes?\nAnswer: 4410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzyh when four letters picked without replacement from {h: 2, j: 1, n: 2, y: 1, z: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/136 and 29\/344960.\nAnswer: 5864320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145915658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/45 (b) 1\/6 (c) 0.9 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 12 = -4*l, -2*l = -l - 5*h - 21. Let m be l\/(-6)*(-1 + -3). Let r = -209 + 209.2. Which is the biggest value? (a) 0.4 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3111883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4650357 = -146*u + 6369577. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55466597?\nAnswer: 17, 3262741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1757319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 1049 - 4345 = 0. Let r = -1231\/6 - a. Factor 0 + 0*q + r*q**5 + 25\/6*q**4 + 20\/3*q**3 + 10\/3*q**2.\nAnswer: 5*q**2*(q + 1)*(q + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:32 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2233)\/(-638))\/(2\/(-16))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -38. Is 18196\/26 - (4 + 54\/v) a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 984cdd - -12?\nAnswer: 984cef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3377*z - 11615 = 2872*z for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 1147484?\nAnswer: 5737420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -42.5. Let a = -7 + 11. What is the third biggest value in o, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -0.7 (b) 1 (c) -3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**5\/12 + 9*w**2. Let f(i) = 2*i. Calculate m(f(b)).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 10*o**2 + 8*o - 12. Let x be u(-11). Solve -x = 3*r - 10*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -97 + 12\/7*k + 13\/7*k**2 - 22\/7*k**3. Find x, given that n(x) = 0.\nAnswer: -3\/11, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(240)*2*3)\/((sqrt(144)\/sqrt(4)*-4)\/((sqrt(432) - (sqrt(432) - ((-2*sqrt(432) - sqrt(432)) + sqrt(432)))) + sqrt(12) - sqrt(12))).\nAnswer: 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2464133 and 352019.\nAnswer: 2464133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7749 divided by 9?\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2254, 4511, 6772, 9037, 11306, 13579, 15856?\n\"Answer: 2*j**2 + 2251*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/1803 - 596\/1803. Let q(y) = -6*y**3 + 2*y**2 + 3*y + 5. Let v be q(-5). Let n = 26072\/33 - v. Sort n, -0.4, 5, z.\nAnswer: -0.4, z, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53\/4 of a century?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*f - 2*f - c, -5*c = -3*f - 22. Let j be (16\/(4 + -8) + 4)\/f. Suppose 3*i - 4*m = -i - 12, 0 = -2*i + 5*m. Put -2, i, j, -3 in ascending order.\nAnswer: i, -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001925408 to 7 decimal places.\nAnswer: 0.0001925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2285*m - 2285*m - m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2057) + 0.\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2433 by 811.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 439 divide 781859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by (-15)\/(-20)*(-24)\/(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -125 (b) -0.1 (c) -0.2 (d) -373\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 222243270?\nAnswer: 222243272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7449 + 14208 + 10*y - 11*y.\nAnswer: -y + 21657","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 24*l + 95. What is i(-10)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*f**3 - 246 - 224 + 460 + 2*f**2 to y + x*f + r*f**2 + u*f**3 and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 311781 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j**2 + 1154*j = 0 for j.\nAnswer: 0, 577\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64247*j**4 - 131*j**3 + 742796*j wrt j.\nAnswer: 770964*j**2 - 786*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 94 = -106. Solve -z*v + 2 = -4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v - 4. Let u(l) = -2*l + 1. Let p(i) = 3*s(i) + 8*u(i). Let n = -5 - -2. Give p(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255440 (base 7) to base 16.\nAnswer: b9c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*sqrt(114)*-6)\/(sqrt(42)\/sqrt(7)*2).\nAnswer: -27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s + 284. Calculate the remainder when l(45) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 18. Let d be m(-17). Let j(u) = -5*u + 11. List the prime factors of j(d).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179156269421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**3\/9 + 17*l**2\/3 + 75*l + 625\/9 = 0.\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 3084*m - 220968.\nAnswer: 4*(m - 837)*(m + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 18 + -43 + 24 + 36?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, -1, -4, 68, 8 in ascending order.\nAnswer: -5, -4, -1, 6, 8, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236084 is divided by 618034.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606 = 137*a - 11*a - 276 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(40)*1 - (sqrt(480) + sqrt(480) + sqrt(480)*-4 + sqrt(480))\/sqrt(12))\/(sqrt(24)\/(sqrt(15)\/sqrt(5)) - 1*sqrt(288)).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 272 = -5*h, -703 = -5*q - 5*h - 58. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0050753 rounded to four dps?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-8))\/((-1)\/(-6)). Suppose 0 = -y - 5*q - 20, 10 = -y - k*q - 4. Let n = -7\/4 - -2. Which is the second smallest value? (a) y (b) -1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*x**4 + 3597\/4*x**2 - 1711*x + 841 - 59\/2*x**3.\nAnswer: (x - 58)**2*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 3*c - 2. Let g be d(-3). Let x = -2 - g. Solve x = 2*k + 1 + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/9, 1, -22480?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 4 - 2 + 3 - 4 - 1 + (0 + 0 + 2)*(2 - 1 - 2))*(2 - 4*f + 0*f + 6*f)*(-39 - 26 + 111) + (1 - 1 + 2)*(2*f - 4*f + 4*f).\nAnswer: -1560*f - 1564","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -89. Let a(t) = 3*t**2 - 2*t - 3. Calculate the remainder when a(-5) is divided by (14*1)\/((-32)\/x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2746 - 1376 - 51*m**3 - 1371 - 2*m**2 to the form g*m**2 + u*m + l*m**3 + n and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 20*o**2 - 11. Let l be -1 + 0 - (-2 + 18). Let q(n) = 2*n**3 - 3*n**2 + 2*n - 2. Let p be q(2). Let i(f) = 7*f**2 - 4. Give l*i(b) + p*w(b).\nAnswer: b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b1 (base 12) to base 14.\nAnswer: -15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43882, 87762, 131642?\nAnswer: 175522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-161)\/11)\/((11270\/(-28))\/(-115)).\nAnswer: -46\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 8 (b) -1 (c) 5 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -109727*r. Let b(a) = -a. What is k(b(t))?\nAnswer: 109727*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72299825*b*p**2 + 7*p**2 - 8157257 wrt b.\nAnswer: -72299825*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -20076.802 to the nearest integer.\nAnswer: -20077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(6\/(1080\/(-110)))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 - 3*d**3 - 11*d**3 - d**3 - d + 5*d - d + (0*d + 0*d + 2*d**3)*(2 + 2 - 3).\nAnswer: -12*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 - 0.8. Let d = w - 0.1. What is the third biggest value in d, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 l when four letters picked without replacement from {l: 8, j: 5}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -446308, -446823, -447338, -447853, -448368?\nAnswer: -448883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 d when four letters picked without replacement from dggdttdd?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4715, -4718, -4721, -4724?\nAnswer: -4727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -17. Suppose -w = 5*i - 74. Suppose 0 = 3*t - 3*m - 21, 5*m = 4*t - 12 - i. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 96070272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + (3 - -3))*(-5 - 1). Let a(g) = g**2 + g + 1. Let x(v) = -4*v - 12. Let j(s) = 5*a(s) + x(s). What are the prime factors of j(h)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 284551483 - 5?\nAnswer: 284551477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53.01 - -53. Let l = w + 22.01. Let r = l + -23. Put 3\/5, r, 0 in descending order.\nAnswer: 3\/5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 4*i - 17 = -2*v, 0 = -4*v + 3*i - 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 89640 and 9545.\nAnswer: 2061720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 475585 * 7\nAnswer: 3329095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 18791 - 18647. What is the lowest common multiple of 44 and q?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 34, -4, 1\/15 in decreasing order.\nAnswer: 34, 4, 1\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38971, 38969, 38967?\nAnswer: 38965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 960 and 240.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016 take away 0.224228?\nAnswer: -0.240228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 (base 6) in base 14?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2 + 22*f + 204 = 0. Calculate f.\nAnswer: -6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139275808 is divided by 75941.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/15 - 11\/30. Let z = 8.62 + -0.42. Let t = z - 8. Which is the closest to -0.06? (a) 5 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y**3))\/y*(((((y**(-3)*y*y)\/y*y)\/y*y)\/y)\/y*y)\/y assuming y is positive.\nAnswer: y**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -26484 (base 10) to base 2\nAnswer: -110011101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4779, 9575, 14373, 19173, 23975, 28779?\nAnswer: 33585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, z: 2, o: 4}. Give prob of picking 1 z and 2 o.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3 - 3 - 4*x**4 - 181*x + 182*x - 25*x**2 - 7*x**5 wrt x?\nAnswer: -420*x**2 - 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6)*(126\/4)\/7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i. Let r(h) = 23*h**2 - 9*h**2 - 12*h**2. Determine r(k(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -58, -15 in decreasing order.\nAnswer: -5, -15, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, 302, 0.\nAnswer: -117, 0, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 16) to base 7\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0*m**3 + m**3 + 11*m**3 - 36*m**2 - 10*m**3 + 3*m**4 to s + n*m**2 + g*m + h*m**3 + d*m**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -275 and 12.549.\nAnswer: -262.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1725.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t = -16*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**3 + 2*k**2 + k - 17. Calculate h(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55737, 55861, 55985?\nAnswer: 56109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6367549.79021 + 6354251.31. Let y = -13420.481 - d. Let l = y - -122. What is l rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-285*s - 923 + 288*s - 715 + 371)*(-1 - 4 + 4).\nAnswer: -3*s + 1267","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.373 - -0.027. Put a, 2, -12, -0.4 in increasing order.\nAnswer: -12, -0.4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2333300 + 1111?\nAnswer: -2332123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-9)\/(-12)) - 8. Let p(g) = -g**3 - 12*g**2 - 11*g - 4. Is p(n) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -1333?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwzquuuuwq. Give prob of sequence qwzw.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6929 + -1326. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 993718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -23011110?\nAnswer: 23011113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from izkzkizikiikk.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 + 8?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (390\/180)\/(13\/15)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-18))\/((-77440)\/768*(-15)\/(-25))\nAnswer: -1\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w**5 + 14556*w**4 - 245865*w**3 - 100674*w**2 = 0 for w.\nAnswer: -987, -2\/5, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5373481.\nAnswer: 1549, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (9\/8)\/((-1035)\/(-1150))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11760*t**2 - 7*t**3 - 31*t**3 - 18*t**3 + 79*t - 11760*t**2.\nAnswer: -56*t**3 + 79*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000 (base 2) in base 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 5. Let u be q(9). Suppose -11 = w - 5*f, 0*w + 2*f - 2 = w. Let r = w - u. Solve 0 = 5*p - 3*p - r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95735*s**3 + 15*s**2 + 11998*s - 36.\nAnswer: -574410*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, y: 2, o: 5}. Give prob of sequence yo.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -108*u**3 - 5*u**2 - 4*u - 5. Let v(z) = -54*z**3 - 2*z**2 - 2*z - 2. Calculate -2*t(j) + 5*v(j).\nAnswer: -54*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-2)*745\/2980.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 17*d - 7. List the prime factors of k(21).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.9 and -2963.\nAnswer: -2965.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -6*h + 33. Suppose -9 = n + k, 0 = 5*n - k + h + 11. Let d(f) = -f**3 - 3*f**2 + 4*f - 2. Calculate d(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 962 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*y**3 + 2530964714856 - 2530964714856.\nAnswer: -63*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-15) - 24\/35. Let r = -7 - -6. Let s be 5\/(15\/(-6)) - r. Which is the closest to w? (a) 1 (b) s (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 397*t**2 - 229*t**2 - 693*t**3 - 208*t**2 + 103 wrt t?\nAnswer: -4158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-9)\/5)\/((-33)\/424985)?\nAnswer: 3, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160708 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.91 + 0.61. Is d greater than or equal to 1\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o. Let l = 2 - 5. Let g(r) = -r**2 - 5*r - 4. Let p be g(l). Let w(z) = -z - 2*z + p*z - z. What is k(w(c))?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.14 times -19?\nAnswer: 154.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/5*(-1251)\/16819 and 11\/20.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 91?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*r + 94*r + 87*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*p**5 - 346*p**4 - 446*p**3 + 772*p**2 + 248*p - 240 = 0. What is p?\nAnswer: -2, -2\/3, 1\/2, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 + -106. Let b = -3 - -5. Put u, 1\/3, b in descending order.\nAnswer: b, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.4 rounded to the nearest integer?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 280 = -5*i, -2*x - 39 = -37. Let y = i + 268. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31990*-4877\nAnswer: -156015230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 2*n**2 + 2*n - 4. Let o be f(2). Suppose o*c = 21*c - 105. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 3*r + 3. Let s be d(-3). Let n = 8 - s. Suppose 2*b - n*a - 35 = 0, 2*b + a = -2*b + 37. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -3 (c) -2\/11 (d) -28 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39 + -40 - (-10)\/264 and -69\/110?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 35230.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13889*b**3*j*k - 6600*b**3 + 11*b*k - 2*j*k + 2*j wrt j.\nAnswer: 13889*b**3*k - 2*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -65 - -d?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 7*m**2 + 4*m - 8. Let a = -6 + 0. Let g be l(a). Suppose 15 = g*s + 3. Let z(k) = -2*k + 1. Calculate z(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -427 - -419. Let g = 7.5 + o. Which is the smallest value? (a) g (b) 1\/9 (c) -2\/27 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30203301 + 1331123?\nAnswer: -22212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 0 + 0*h + h**2 + 1\/8*h**4 + 5\/6*h**3. What is z(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 385?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u**2 - 13*u - 87. Let w be y(6). What is the highest common divisor of 48 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2751 - -2751.2. Which is the nearest to 0.1? (a) -0.1 (b) -6.383 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -143*v - 1014. Calculate w(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 + -102.42\nAnswer: -100.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 2*u + 42. Let y be o(8). Let a(w) = -w**2 - 6*w - 5. Let i be a(-6). Let h = y - i. Let r(z) = 4*z**3 - z**2 - 2*z - 1. Give r(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*i + 143 = -l + 139, -22*l = 5*i + 88 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 66*n**2 + 2*n + 144. Calculate u(-66).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-18) - (-3)\/(81\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21542228 and -5?\nAnswer: 107711140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-3))\/(6\/(-27)). Suppose 0*a + 15 = r*a. Suppose d - t = 2*t + a, -2*d + 3*t = -7. Solve 0 = -d*j - 14 + 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.68 - 3027686584?\nAnswer: -3027686588.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/201, 1.01, -8, 5\/12?\nAnswer: 1\/201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 911*o**3 - 3*o**2 + 5*o. What are the prime factors of b(1)?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8 + -1.5. Which is the third smallest value? (a) -0.8 (b) h (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4439515808 to the power of 1\/2, to the nearest integer?\nAnswer: 66630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 286*q + 288*q - 38 = 0, 4*g = -5*q + 73. What is the remainder when 2477 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232648 = 7549*c - 197844 - 90389 for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -962 + 359?\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 202\/9 or 22?\nAnswer: 202\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**3 - g**2 + 2*g - 297. Let w(t) = -5*t**3 + 2*t**2 - 2*t. What is n(o) + w(o)?\nAnswer: -2*o**3 + o**2 - 297","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23213220233 (base 4) in base 16?\nAnswer: 2e7a2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 2*z + 7, 0 = 3*h + 2*z - 2 - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 4, x: 6}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, -2, 0.4, 3, 7405?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*d**2 - 7*d**2 + 12*d**4 - 10 - 4 wrt d.\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.04, 5, 1.7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*s + 198*s + j + 8400 = 0, 0 = -s - 2*j + 2800. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*k + 312*k + 15 = 626*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1356 and -2620.\nAnswer: -3976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -138, -125, -112, -99?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -1952 - 4*u - u**2 + 1910 - 10*u. Let k be j(-9). Suppose -k*m + 5 = 4*o, 20 = 3*o - 2*m + m. Solve o*s + 2 + 3 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6392 is divided by (-60)\/(-24) - (-25)\/(-20) - (-174)\/8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 1. Let m(i) = -i**3 + 5*i**2 + 2. Let p be m(5). Suppose s - p = z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492134649 divided by 228157.\nAnswer: 2157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -414 in 3, -0.6, 73?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (4 + (-2 - 1 - 6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6038 is divided by 318.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-52)\/(-6))\/(4\/6). Let v = 21 - m. Suppose -4*a = -7*a + 36. What is the greatest common factor of a and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4010472, 4010471, 4010470, 4010469, 4010468?\n\"Answer: -h + 4010473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0800067 - 0.08087. Round f to 5 dps.\nAnswer: -0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9883190 plus -96973?\nAnswer: -9980163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + sqrt(3) + 3)**2 - (3 + sqrt(18)\/sqrt(6)).\nAnswer: 35*sqrt(3) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, v: 10, r: 1}. What is prob of sequence vqqv?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/792*(-286200)\/150?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 7\/8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3986*j**3*o + 7*j**3 + 19536*j**2*o - 2*j*o wrt j?\nAnswer: -23916*o + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -311033 (base 4) in base 6?\nAnswer: -23435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 267, 406, 547, 690, 835?\nAnswer: 982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 288707*p**4 + 3*p**3 + 1322790*p**2.\nAnswer: 6928968*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1768203091?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181823075?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.795511 to zero decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 + 7*u - 8. Let n(p) = -4*p**2 + 7*p - 7. What is -7*n(d) + 6*x(d)?\nAnswer: -2*d**2 - 7*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3783, -3813, -3857, -3921, -4011, -4133, -4293?\n\"Answer: -z**3 - z**2 - 20*z - 3761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 277 - 277.2. Which is the closest to q? (a) -0.3 (b) 9 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36674, 293094, 989088, 2344442, 4578942, 7912374, 12564524, 18755178?\nAnswer: 26704122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*(884\/(-2730) - (-120)\/(-225)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (1 + (22 - 33 - 28) - -18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40032132 divided by 6\nAnswer: 6672022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j - 48. Let z = 1 - -2. Let r = 1 + z. Calculate the highest common factor of j and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 - 77. Let z be (13\/k)\/(2 - 22\/12). Sort -3, -2, z, 1.\nAnswer: -3, -2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/(-9) - (-2)\/3. What is the second derivative of w*y + y + 4*y**3 - 4*y**3 + 3*y**3 wrt y?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-12) + (-411859)\/(-28). Suppose -46*m + k = -45*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*b = -279*b + 2916 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v**5 - 64036*v**4 + 102694364*v**3 - 573503888*v**2 + 675187338*v + 368409636 = 0.\nAnswer: -2\/5, 3, 3199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*c + 2*c - 20, -4*c + 20 = 0. Let z = -2 + w. Suppose 2*d = -z*d - 25, -34 = -4*s + 2*d. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-15) + (-213)\/(-90)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**3\/2 - 114*m + 4. Let u(a) = -3*a**2 + 62*a. Give c(u(i)).\nAnswer: -9*i**2 + 186*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10039 + 10031.7. Let g = 0.3 + 0.2. Which is the biggest value? (a) g (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvz when three letters picked without replacement from {z: 2, v: 12, y: 1, g: 4}.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 32208.2639?\nAnswer: -3220.82639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 955, 1922, 2875, 3808, 4715, 5590, 6427?\n\"Answer: -l**3 - l**2 + 977*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -172172 times 11.2?\nAnswer: -1928326.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 2. Let p be s(4). Let y = 10 - p. Solve -4*x + y*m = -28, x + 2*x - 17 = 2*m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**2 - 56*j - 5. Let l be i(14). Sort -1\/5, -3\/97, l in descending order.\nAnswer: -3\/97, -1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 3107*q**6\/120 - 7*q**5\/15 + q**4\/8 + 57*q**2 - 19*q. Find the third derivative of p(s) wrt s.\nAnswer: 18642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 7*y**2 + 8*y - 5. Let g be r(-5). Let l be 1\/(g - (-56)\/(-12)). Solve 0 = -5*k + j + 8, 0 = l*k + j + 1 - 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -507046768.\nAnswer: -507046768.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -145*m + 41*m + 108. Let k(b) be the third derivative of 0*b + 1\/120*b**5 + 5\/48*b**4 + 0 + b**2 + 1\/3*b**m. Factor k(i).\nAnswer: (i + 1)*(i + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2700531 and 3843?\nAnswer: 18903717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6756986113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yty when three letters picked without replacement from fcyttdkyc.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24, -39, -54, -69?\n\"Answer: -15*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 2. Let z = 5 + l. Let o be 3\/(-1 + z - 0). Solve o*b + 3 = 0, -4*w + 0 = -5*b + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*x - 2*n + 21, -x + 2*n + 14 = 0. Let a(l) = 2*l - 3. Let g(r) = 2*r - 2. Let j(h) = x*a(h) - 5*g(h). Calculate j(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.26, 2, 0.2 in increasing order.\nAnswer: -0.26, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/3 - 122*j\/3 + 3721\/3 = 0. Calculate j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -10263 (b) 4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 + 35*x**2 - 5*x**3 + 2*x**4 + 11779 - 11771 to the form b*x**4 + p*x**3 + w*x**2 + i*x + n and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 51*u**3 - 4*u**2 - 11*u + 11. Let a(g) = 25*g**3 - 2*g**2 - 6*g + 6. Determine -11*a(t) + 6*j(t).\nAnswer: 31*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28457*a = 28484*a - 243. What is the least common multiple of (2\/(-4))\/(2\/(-96)) and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1791607 divided by 1?\nAnswer: -1791607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*n**3*v + n**3 + 3*n**2*v**4 + 4*n - v**4 wrt v.\nAnswer: 3*n**3 + 12*n**2*v**3 - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611818 is divided by 1589?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 308*-170211\nAnswer: -52424988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 58, 121, 218, 349?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - s + s**2 + 2*s - 5. Let u be g(-3). Which is the closest to u? (a) 0.4 (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjjj when four letters picked without replacement from {j: 4, k: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -139298331.77 and -830?\nAnswer: 139297501.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 569688 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2\/49, -4, -0.15553 in decreasing order.\nAnswer: 2\/49, -0.15553, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-30))\/((-16)\/24))\/(21\/(-14))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let y be (-2)\/(-7) - 12\/42. Let k(s) = y + 3 + 1 - s**3. Determine k(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - w - 1 + 2*w + 1 + (13*w - w + 7*w)*(2 + 2 - 2).\nAnswer: 39*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 209, 1967, 83, 3 in descending order.\nAnswer: 1967, 209, 83, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 416.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10499118 is divided by 501?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f*f\/((f*f**(3\/13))\/f*f)))\/f*f)\/(f**(-3\/10)\/f) assuming f is positive.\nAnswer: f**(329\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2820*k**2. Let g(c) = 2*c. Calculate j(g(f)).\nAnswer: -11280*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and -0.06?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.064 at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*u - 3*h = -39, -2*u + 38 = 5*h. Suppose 4*t - u = -1. Let j(i) = 3 + 2*i**2 - i**2 - i - 4*i. Calculate j(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -28. Let o(l) = 4*l + 47. Let i(r) = -2. Let t(j) = 2*i(j) - o(j). Let z be t(-13). Calculate the greatest common divisor of w and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (123*w + 210*w + 42*w)*(0 - 3 + 0)*(-4 + 5 + 0) to the form i*w + l and give i.\nAnswer: -1125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2\/9 + 7038036*j + 55725694579458 = 0. Calculate j.\nAnswer: -15835581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -9. Let f be 5*(2\/(-4) - 121\/(-110)). Let n be (f*10\/i)\/(-1). Solve -5*a = 3*s, s = -n - 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + o - 3. Let b be r(-4). Let n = -20 - -14. Let g = b + n. Calculate the least common multiple of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from iyii.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4620*j - 4599*j + 82 + 21 - 2*j + j + 2*j + (1 + 0 + 1)*(-5*j - j + 4*j) to the form y + h*j and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 79128\/92 + 86\/(-989).\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 1408 - 1586 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 4*g + 31. Let q be k(4). Let c be (73 - 4) + 5\/q. Calculate the highest common factor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 20 = -4*l, -74 + 76 = -l - 2*b. Let m(w) be the second derivative of -w**3\/3 + 2*w**2 + w. Give m(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/33*6\/70)\/((-6)\/10)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612 = 682*x - 679*x. Suppose 171 = 3*w - 2*k + 47, 2*k + x = 5*w. What is the highest common divisor of 15 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from zzmmzmm?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2513034386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -11. Let t be 2 - l\/(-1) - -3. Find the third derivative of -w**t + w**2 + 0 - 3*w**3 + 0 wrt w.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1993 = -1785. What is the lowest common multiple of (4\/(-12))\/((-2)\/66) and s?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -316, -367, -418?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 2046\nAnswer: -4\/1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8))\/(40\/((-227360)\/87))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 3. Let p be n(0). Suppose 2*j + 3*u - 928 = -p*j, u + 554 = 3*j. What are the prime factors of j?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2 + 2*a - 1. Let o be l(1). Suppose -4*q + 13 = -7. Solve -q*b - k = -16 + 6, 1 = -o*b + k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -6d?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-12))\/((-10)\/(-8)). Let m = 11\/30 - g. Let l = -1\/121 + -237\/605. Which is smaller: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/((-180)\/5))\/((-2)\/2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 511290\/15732*4\/(-5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 12*g - 17. Let d = 71 - 81. Let r be n(d). Solve m - 5*w = 0, r*w - 3 = -m + 5*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 1. Let x(m) = 14*m - 7. Let c(t) = -t**3 - 11*t**2 - 67*t - 738. Let l be c(-11). Calculate l*x(w) - 4*q(w).\nAnswer: -14*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1053*h**3*u + 275*h**2*u + 3*h**2 + 4*h*u + 10*h - 21942 wrt h?\nAnswer: 6318*h*u + 550*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3\/11 + 168712*w**2\/11 + 337418*w\/11 + 168708\/11 = 0.\nAnswer: -84354, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/2145 and -119\/84370.\nAnswer: 253110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 10 + 6)*(2 - 2*k - 2)*(16*k**2 - 150*k**2 + 15 - 15)*(-4*k**2 + 3*k**2 + 5*k**2).\nAnswer: -19296*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0*b*(((b\/(b**3*b)*b)\/b)\/b)\/b*b)\/(b*b**(1\/2)*b*b*b\/((b\/(b*(b*b\/(b\/b**(-4))*b)\/b))\/b)))**(-13\/7) assuming b is positive.\nAnswer: b**(143\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f - 3*f + 3*f)*(15*f**3 + 6*f**3 + 26*f - 25*f**3) to the form r*f**3 + p*f + j*f**2 + n + d*f**4 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 3*r - r**2 + (-r + 0 + 0)*(2 + r - 2) + r**2 - 4*r**2 + 2*r**2 + (78*r - 51*r + 53*r)*(4*r - r - 4*r) - 2*r**2 - 4 - 1 + 3.\nAnswer: -85*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -2*d - 5, -34*d = u - 26*d - 13*d - 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99774139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383652619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 8:06 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 2. Differentiate a*f**3 - 1 - 12 - 6*f**3 - f**3 with respect to f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.84 - 2.03. Let g = 76 - 76.1. Which is the second smallest value? (a) 3 (b) 4 (c) q (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*s - 280, -2*s - 2*s = -t + 80. Let p = -108 + 192. Suppose 0 = -0*q - 4*q + p. Calculate the remainder when t is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*i - 2 = 0, 3*o - 33 = -5*i - 7. Let d(j) = -j. Let p be d(7). Let x = p + o. What is the nearest to 2\/5 in x, 3, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 2)*(0 - 3 + 2) + 209 - 153 - 171)*(q - 3 + 3).\nAnswer: -116*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210 + 3222?\nAnswer: 3432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 2:29 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1.3. Suppose 14*u - 8*u = -300. Let x be u\/(-20)*(-12)\/5. What is the third biggest value in x, j, -1\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - -2*(sqrt(104) + sqrt(104)*4 + sqrt(104) + sqrt(104)))\/sqrt(8) + sqrt(637)*-1 + sqrt(52)*-1 + sqrt(13).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-13) + (-165)\/4680. Let a(o) be the second derivative of -d*o**4 - 4*o + 0 + 0*o**2 + 0*o**3. Factor a(h).\nAnswer: -h**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**3 + a**2 - 5*a + 3. Let k(j) = -j**3 + j**2 - j + 1. Give -i(q) + 3*k(q).\nAnswer: q**3 + 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -4*s - 3, 6 = 281*s - 285*s - 2*k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 3) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -16. Suppose -158 = -q*o + 88. Find the common denominator of 131\/6 and (-1 + -1)\/(20\/o).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 434867\/140 + -15514\/5. Let r = b - 1\/7. Calculate the common denominator of r and 2 + ((-75)\/24 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8070*u**3 + 2107*u**3 + 1992*u**3 + 1988*u**3 + 0 + 0 + 1986*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -11. Let g be -2*6*(4 - u). Let v = g - -313. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 22 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*(3 + sqrt(288)*-4)**2 + (-4 + sqrt(98) + -2)**2 + sqrt(98) + ((2*sqrt(98) + sqrt(98))**2 + sqrt(98))*5).\nAnswer: -438 + 1476*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*z + 5*z + 0*z)*(388443 - 4564*z - 388443)*(-2*z + 2*z - 3*z**2) - 4*z + 4*z + 2*z**4 to x*z**4 + w + r*z**2 + h*z**3 + i*z and give x.\nAnswer: 41078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(2\/9)*x*x)\/(x*x\/(x*x**(-7))))\/((x*x**(-5))\/x**5))**(-5\/18) assuming x is positive.\nAnswer: x**(-145\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h + 629 - 1964 + 867 = 0 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 2\/7 (b) 5 (c) -1 (d) 1\/2 (e) -183\/2 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(((l*l\/l**(-1\/19)*l)\/l)\/l))\/l)\/l**10)\/(l**(17\/4)\/l*l*l**(-3)\/l) assuming l is positive.\nAnswer: l**(-859\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 203592263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 91 (b) 5 (c) 0.10241 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -49, -43, -27, 5, 59, 141, 257?\n\"Answer: n**3 - n**2 + 2*n - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1818*s - 15. Let b be a(-4). Let z = b + -4188. Suppose -f - 2*h + 2615 = 0, 3*h + z = 3*f - 4749. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 1 + 0*f**3 + f**2 + 2*f - 1\/6*f**4. Let h(q) be the first derivative of s(q). Find the first derivative of h(i) wrt i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4545236882.\nAnswer: 2, 2272618441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1632 - 1240. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6109164541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 7) + (3 - 6) + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, -20, -66, -150, -284, -480, -750?\n\"Answer: -2*s**3 - s**2 - 3*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28728*u*y**2 - 8*u*y + 13*u + 47*y wrt y?\nAnswer: 57456*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*s - m - 26, m = -s + 15. Solve 0 = 4*b + s + 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 4*v + 2. Let w be q(4). Let l be 81\/15 + w\/(-5). Find the third derivative of -l*p**3 + 4*p**3 + p**2 + 2*p**5 + p**3 wrt p.\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45\/(-2)*10152\/(-470) and 11.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42100152 (base 6) to base 11.\nAnswer: 76430a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**3 + a**2 - 6. Let w(l) = l**3 - 1. Let x(d) = v(d) - 5*w(d). Let j be 2\/(-5) + 6\/(-10). Determine x(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 3*r**2 - r - 2. Let w = -18 + 19. Let y be -3 + w\/1 + -7. Let s = 11 + y. Give l(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 17 = -3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 5*x. Suppose -3*z + 5*z - 8 = 0. Let v be p(z). Suppose -3 = v*c + 1. Which is bigger: c or 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 3*o + 362. Let c be v(-46). What is the greatest common divisor of 72 and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1940103?\nAnswer: 3, 11, 19597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -429*m + 92220. Give j(215).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81175911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2208*t + 2326 wrt t?\nAnswer: -2208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 9:25 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**2\/2 - 7665*i\/2 - 6677424 = 0?\nAnswer: -1189, 3744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**4 + 28474249*d**3 - 9067374?\nAnswer: -4*d**3 + 85422747*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*h + 31*h + 2*h + 35*h - 2*h**2 in the form t*h**2 + w*h + k and give w.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2061*k + 10315. What is n(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3095, -3108, -3129, -3158, -3195, -3240?\n\"Answer: -4*r**2 - r - 3090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563433?\nAnswer: 3, 13, 14447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*d - 7, -49*g + 46*g - 5*d = -56. Let f = 6 + -3. Solve -g*w + f*w + 8 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -9*l**4\/2 - 22*l**3\/3 - 284*l**2. Differentiate o(i) wrt i.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37 - 0?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135713239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189473?\nAnswer: 189473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*r - 160 = -218*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2658d5 (base 14) to base 16.\nAnswer: 142a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 - 2*a. Let j(l) = -5*l**2 + 10*l. Let q(x) = 3*x**2 - 13*x. Let d(p) = -3*j(p) - 2*q(p). What is -6*d(n) + 11*h(n)?\nAnswer: -10*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + (-12)\/36?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2707973 divided by 6.\nAnswer: -2707973\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34187, -68403, -102619, -136835?\n\"Answer: -34216*r + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + 1*sqrt(700) + sqrt(28))\/(sqrt(4) + 5*(sqrt(4) + sqrt(8)\/sqrt(2))).\nAnswer: 7*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 47 = -39. Suppose -s*h + 6 = j, 13 = 2*j + 4*h + h. Suppose r + 10 = 3*a, 0 = -a + 4*a - j*r - 13. Solve 3*i + 3 = -a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.9 - 2.4. Which is the smallest value? (a) -1 (b) -10 (c) -2\/9 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 661, 1320, 1979, 2638?\nAnswer: 3297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5812 + -3659. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j. Suppose 5*s - 4*f = -5, 0 = 3*s + 2*s + 3*f - 30. Suppose -2*w - s*w + 25 = 5*n, -w + 10 = -4*n. Let m(k) = 5*k - w + 12 - 6. Give x(m(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -12394*a**2 - 39*a + 7. Let b(g) = -2066*g**2 - 6*g + 1. What is 26*b(z) - 4*t(z)?\nAnswer: -4140*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1325?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, e: 2}. Give prob of sequence ennn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6919, 5771, 4615, 3457, 2303?\nAnswer: 1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172008 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*u - 24619 + 111373 = 0, b + 5*u - 43381 = 0. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 3*y = 16*u - 24, 5140*y + 31 = 5144*y - 5*u for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22*85\/(-15708))\/((-1)\/(3\/(-5))).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3828\/(-429))\/58 + (-4)\/(-195)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39.01 - 39. Let k = -497 - -495. What is the closest to 0 in -5, 0, k, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 96 = -4*a, -4*a + 3*a + k + 25 = 0. Let y(p) = p - 5*p - 24 + a. Determine y(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14793 + 14796. Put 4\/89, 0, f, 8 in increasing order.\nAnswer: 0, 4\/89, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 + 0. Let x = -2.2 - f. What is the smallest value in -0.1, 3, x, 1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*g + 1, 0 = 3*g + 5*t - 4 - 7. Suppose -20 = -3*a - g. Suppose 11*f - 3 = 10*f. Put a, f, -2, -1 in decreasing order.\nAnswer: a, f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 28 + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Suppose -a + 1 = -g*a. What is the remainder when 41 is divided by a\/(-6) - 747\/(-54)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109971 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-5)*(-3568)\/64224.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 7672 = 20*t. Let b = -525 + t. Calculate the highest common divisor of b and 621.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 8*n. Let i = -8 - -14. Let j(u) = -23*u. Let c(s) = i*j(s) + 17*v(s). Let p(h) = 21*h - 21*h + h**2 - 2*h**2. Determine p(c(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6536 is divided by 58?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - a - 64 = 0, -3*a - 37 = -2*m - 8*a. Calculate the remainder when m is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*2*4 - sqrt(99))\/(1*(sqrt(9) - (sqrt(9) - sqrt(36)\/sqrt(4)))).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -246931552, -493863102, -740794652?\n\"Answer: -246931550*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -33, -548\/29 in increasing order.\nAnswer: -33, -548\/29, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwrwwwrwwrrwwwr. Give prob of sequence rr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-9))\/(2\/39)*(-3)\/(-4).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 20. Suppose -s*q + 3 = -1. Differentiate 4*t**2 - 3*t**2 + t**2 - q with respect to t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2068 and 16\/47.\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-six fifths of a kilometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10*u - 61. Let m be h(-6). Suppose -10 = 4*r - 2. Let x be r\/(156\/70) + (-6)\/(-9). Which is the third smallest value? (a) m (b) 1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, 63, 157, 297, 489, 739, 1053, 1437?\n\"Answer: m**3 + 14*m**2 + 5*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a hour in minutes?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (4 - (12 - (3 - -1))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 = -0*g. Suppose 2*b = -0 + g. Sort b, -2, 0.4 in increasing order.\nAnswer: -2, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4350 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8\/7, 0, -5, 2 in ascending order.\nAnswer: -5, -8\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 8*z. Solve o - 2*o = z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -28*v + 12*v - 86 + 11*v + 14*v. Let p be l(9). What is the smallest value in 2\/3, p, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 6 - 2*k**2 + 0*k - 26\/3*k**3. Find the second derivative of v(q) wrt q.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 43 = -124*m + 125*m, 0 = -4*c + 5*m + 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a decade in years?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-6 + -1 - 19)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -39. Let n = q + 7. Which is the nearest to n? (a) 0.2 (b) -2\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1607 + 747. What is b rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 63956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 5*i**2 - 3*i - 1. Calculate m(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 2. Suppose -3*a + f*n = -4*a + 8, 43 = 4*a + 5*n. Suppose -2*b - 2*x - 19 = -7, -2*b + 4*x + a = 0. Sort -5, 0, b in increasing order.\nAnswer: -5, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/1 + 238\/49.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 13384043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h = 1532. Let o = -87357 + 86975. Is o >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-250681 + 501239 + 8*r - 250625)*(0*r**3 - 5*r**3 + 2*r**3).\nAnswer: -24*r**4 + 201*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 14*m**3 - 80*m**2 - 360*m + 1712. Let i(h) = 5*h**3 - 29*h**2 - 120*h + 570. Let g(c) = 8*i(c) - 3*s(c). Factor g(p).\nAnswer: -2*(p - 6)**2*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -62, -67, -76, -89, -106, -127?\n\"Answer: -2*w**2 + w - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22489 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 600446901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*a - 4, 2*a + 0 = 5*h + 12. Let i(o) be the first derivative of o**3\/3 + o**2\/2 + 1. Let w be i(h). Solve z - 2*z = w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-54 - -12) + 24 + 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 25 = 5*q. Suppose 5*l = -3*b - q, -3*b + 6 = -0*l - 3*l. Solve 0 = -u - b*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*c, -370306 = -14*j + 5*c - 2*c. What is the thousands digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**3 - 3*h**2 + 5*h**2 - 2*h**2.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u = -3*i + 18, 4*i - 14 = 2*u. Suppose i*p = -5*p + 259. List the prime factors of p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-12) - (-22)\/30. Let l be (21\/(-28))\/(567\/56 + -6). Let v = 182.3 + -182. Which is the closest to l? (a) j (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -322220 (base 4) to base 11\nAnswer: -2901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + g**2 - g + 2. Let t(j) = -j**3 + 8*j**2 + 8*j + 9. Let r be t(9). Determine k(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1254 - 6?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.84, 0, 1\/4 in increasing order.\nAnswer: -0.84, 0, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 373.\nAnswer: -32\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*((-84)\/14 - 52\/(-6) - 4). Let t(m) = -15*m + 60. Give t(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78\/11 + -7. Let k(o) = -o**2 - 8*o - 7. Let j be k(-7). Which is the smallest value? (a) -4 (b) f (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*o - 4*o + 6 = 5*o - 5*o + 21, o = 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2205) - sqrt(2205)*1*-4)\/(((sqrt(63) + 4*sqrt(63))*3 + sqrt(63))\/sqrt(7)) + 1.\nAnswer: 1 + 35*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + ((-6)\/2)\/1. Suppose 0 = k*t - 0*t. Solve -p - 4*p + 20 = t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = 21*x - 160. Calculate the least common multiple of 40 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 538.98 and -17.\nAnswer: -9162.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/36*((-29)\/(-406))\/(1\/8)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -120*i**4 - 201*i wrt i.\nAnswer: -1440*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4248821 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 20 in increasing order.\nAnswer: 3, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, i: 13}. What is prob of sequence ii?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 1. Let f be (-5)\/2 - (-1)\/2. Let y be (f\/(-3))\/(2\/3). Are h and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - g = -4, 0 = 5*w + 65*g - 68*g - 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 6*n**2 - 51*n - 124. Let j be h(6). Calculate the greatest common factor of j and 379.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 0 - -15) + 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1029285532*d - 646252457.\nAnswer: 1029285532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -293002 or -293266?\nAnswer: -293266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*(sqrt(13)*-1 + -2) + ((1*sqrt(1053))**2 - sqrt(13) - (sqrt(13) - (-1 + sqrt(117)))**2)).\nAnswer: 5964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 + 75 - 7*r)*(-150 + 77 + 72*r + 73).\nAnswer: -504*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*n - 869, -6*n + 857 = -2*n + 5*i. What are the prime factors of n?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-16) - (-15)\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 6, 13, 20, 27?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c + 3 + 21. Let y = -9 - -7. Sort c, y, 2.\nAnswer: c, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/53499 and 20\/28323?\nAnswer: 481491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4 (b) -2\/3 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5633*y - 7121*y + 7931*y to p + g*y and give g.\nAnswer: -4823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 767204454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -340*l*m**2*v - 10*l*m**2 - 3*l*m*v**2 + 4*l*m + l - 5*m**2 wrt v?\nAnswer: -340*l*m**2 - 6*l*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2626197*o**3 + 19491178?\nAnswer: -7878591*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 347.304076 rounded to 1 decimal place?\nAnswer: 347.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 0.5, 0.03, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-98)\/(-21)*9\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40.08 + 40. Let n = -0.02 + 0.18. Let l = -0.06 + n. Is l bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66968494 and 496?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 + 83. Suppose t - 7 = -u - 2, -2*u + 5 = -g*t. Factor -1\/2*i**5 - 17\/10*i**u - 1\/5*i - 21\/10*i**3 - 11\/10*i**2 + 0.\nAnswer: -i*(i + 1)**3*(5*i + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1813 and 1813 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66033\/44 - (-18)\/(-24).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 557273407 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 50*((-7)\/2 - -3). Let w be 1\/(-5) - 580\/y. Suppose -4*k - 3 + w = 0, 106 = 4*s - 2*k. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*v - 4, 3*q - 12 + 2 = -5*v. Let x = -3\/109 - 179\/1417. Which is the nearest to x? (a) 4 (b) 0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49)\/(-17640)*-72)\/((9\/(-70))\/9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/16)\/((-2)\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 4, 1\/4800 in decreasing order.\nAnswer: 4, 4\/7, 1\/4800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -208? (a) -0.07 (b) -4 (c) 2\/17 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/5))**(7\/4))**(2\/11) assuming f is positive.\nAnswer: f**(21\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190481 is divided by 607.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257 = 25*m - 26*v, 249*m + 16 = 247*m + 2*v - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -44059403 divided by -6?\nAnswer: 44059403\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/30)\/(4\/(-54)). Which is smaller: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - 8*r**3 + 19720*r - 19720*r - 24*r**3.\nAnswer: -35*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 1. Let t(k) = -352*k**2 + 9*k - 53. Let v(f) = 5*j(f) - t(f). What is the second derivative of v(y) wrt y?\nAnswer: 704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + k + 18 = 0, -5*z = -2*z - 4*k - 18. Suppose z*q - 12 = -0. Solve y = -3*m - m - 6, -m + 2 = q*y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 658.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*5)\/((-29040)\/(-1056)). What is the nearest to -21\/5 in p, -3, -7, -1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -0.1 (b) 2 (c) -2\/7 (d) 5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4338 rounded to the nearest one hundred?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.082 greater than 25047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 31 + 39 = 0. Is (-620)\/(-35) - (-4)\/m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -9. Solve -o - 4*m + 30 = m, -5*o = -v*m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18\/19 + -92\/57. Let x = -13.9 - -16.69. Let f = x - 7.79. Which is the closest to 0.1? (a) f (b) -1.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -8. Suppose -2*u + 7 = q*u. Let r = 7\/10 + -1\/2. Which is the second smallest value? (a) u (b) 2\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2.1. Let m be 6 - (0\/(-2) - -1). Suppose m*d - 9 + 4 = -5*w, -w + 21 = -4*d. Sort w, 3, g in ascending order.\nAnswer: g, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7075*i + 2313544. What is s(-327)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89263?\nAnswer: 23, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**2 - 3*y - 2. Let x be o(-1). What is the greatest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28515*g**4 - 2*g**3 + 27915*g**4 - 347 + 2*g**3 - 1422 wrt g.\nAnswer: -2400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*d + 2339 = 0, 4*g - 3*d = 8*g - 3102. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -41\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, -3, -1, -8, 4 in decreasing order.\nAnswer: 4, -1, -3, -8, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5631, -5405, -5019, -4473, -3767, -2901, -1875?\n\"Answer: 80*j**2 - 14*j - 5697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 - 72 - 8*a**3 - 76 - 70 + 70 + 240.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + 2*i**3 + 0*i**3 + (6*i**2 + 17 - 17)*(-87*i - 220*i + 67*i) + (i - 3*i + 3*i)*(3*i**2 + i**2 - 3*i**2).\nAnswer: -1438*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-4) - ((-14)\/(-8))\/(-7). Suppose -5*p = z - 6, -2*p - h*z = -p - 3. Let s be ((-4)\/20)\/(p\/(-25)). Solve w = -4*w + s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 12*j**2 - 2300*j + 6911*j - 2310*j - 2 - 2318*j.\nAnswer: 12*j**2 - 17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3268199 is divided by 520.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 15 = -3*i, 2*i - 5*q = -0*i + 25. Suppose -2 = -o + 4*h, 0*o - 2*h = 2*o - 4. Let r = o + -2. Solve -3*p + i*p + 3 = r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -23\/9?\nAnswer: -23\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(243)*1 - ((0 + sqrt(147) + sqrt(147) - sqrt(147)) + 5))*4)**2.\nAnswer: -128*sqrt(3) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 978 - -7\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7386 - 6722. What is the remainder when d is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 9488625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - 36?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 3. Let r be p(4). Suppose -2*i - 3*i - 15 = 0. Sort 2, i, r.\nAnswer: i, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 393.7 * -0.1\nAnswer: -39.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 - -0.1. Let d be 60\/624 + (-2)\/(-13). What is the nearest to d in l, -0.1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 + 2)*(o - 5*o + 0*o) + 10*o - o + 178*o + 0*o + 0*o - 3*o to m + l*o and give l.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**7*b*b**4*(b\/(b\/(b\/b**(-2\/19)))*b)\/b**(-3)*((b\/(b*b**2))\/(b**(6\/7)*b*b))\/(b**(-2\/7))**5 assuming b is positive.\nAnswer: b**(1819\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -3*h - h**3 + 5*h - 4*h. Let x(p) = 16*p**2 + 12*p**2 + 52*p**2 + 29*p**2 - 108*p**2. What is x(c(m))?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2436 and 406?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 15 = 5*i. Let z = 27 - i. Suppose -z*m + 50 = -24*m. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 1:38 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 - 55*o**2 - 364*o + 98. Determine j(-8).\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 322132041?\nAnswer: -322132100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.3. Suppose 2*o - 10 = 5*x - 4*x, 4*x + 2*o = 10. Suppose x = -5*d + 3*d + 4. Are d and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*u - 3 = -55, -h + 34 = 4*u. Suppose -3*i = -h - 18. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1333\/4 - 333. Let g be 2 + 3\/((-9)\/4). Which is the nearest to 0? (a) g (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -44979, -45143, -45307?\n\"Answer: -164*v - 44815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 353 - 363. Let i(v) = v**3 + 9*v**2 + 16*v**2 + v**2 - 15*v**2 + 7*v - 4. Give i(h).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-287)\/(-694540)*-242)\/(4\/14 - (-5)\/(-14)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*(sqrt(18)\/(sqrt(54) - sqrt(6)) + 1*sqrt(3)*-4 - (sqrt(2700) + sqrt(2700)*1)))**2.\nAnswer: -2540*sqrt(3) + 193573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-6)*1\/(-4).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/9*(-21)\/(-2). Let n = -12 - y. Suppose -n = -l - l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33701, 33931, 34161?\nAnswer: 34391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 601.0845 litres?\nAnswer: 601084.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3694101.\nAnswer: 3, 431, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -9 - -9) + (0 - (6 - -1)) + 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/224)\/((-22)\/4)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 0.3, -12, -3\/2, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + f)*(2*f + 2*f + 0*f)*(-1 - 3 + 5).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -975*l - 2. Let d(v) = -1950*v - 3. What is -5*d(y) + 9*g(y)?\nAnswer: 975*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(21\/9))\/7\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15313?\nAnswer: 15313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118100 is divided by 114129.\nAnswer: 3971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2243 divided by -1?\nAnswer: 2243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -68, -99, -130, -161, -192?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*i - 37*i + 34799*i**2 - 34821*i**2 + i**3.\nAnswer: i**3 - 22*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-1 + 6)) + (-1 - -5) + (-3 - -27)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4589 or 4826?\nAnswer: 4826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 4. Let h be (-4)\/(-6) + (2 - 42\/9). Let j(b) = -9*b - 3. Let z be j(h). Suppose -3*f - z = -8*f. Determine g(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*x + 47 - 7, -3*i - 4*x - 19 = 0. Let h(v) = -2*v + 13. What are the prime factors of h(i)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 17. Which is the closest to -1\/4? (a) y (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -1, 5, -232 in descending order.\nAnswer: 5, 2, -1, -5, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 9*k = 7*k - 77 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.061 in 1, 5, -1466, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96669 and 66862725.\nAnswer: 200588175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 18\/99 + (-7692)\/(-44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/4)*y**5\/y*(y\/((y*y\/(y*y**(-2\/9)))\/y))\/y**(-2))**(8\/15))**(7\/8) assuming y is positive.\nAnswer: y**(1897\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2318*o**2. Let k(s) = 2*s + 48. Let u(j) = -2*j - 32. Let r(m) = 2*k(m) + 3*u(m). Determine q(r(b)).\nAnswer: -9272*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236\/2 - 4*-1 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/12*3\/2*-10. Solve -d = -6*d - l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/(4*sqrt(1296)))\/(sqrt(400) + (sqrt(24)*1)\/sqrt(6)))**2.\nAnswer: 1\/139392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/26)\/(-1 + 3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/7)*d**(1\/4))\/(d**0*d\/(d*d\/d**(-2\/15))))\/((((d**(2\/9)*d)\/d)\/d*d**(-6))\/(d**(1\/2)*d*(d\/(d\/d**2))\/d*d)) assuming d is positive.\nAnswer: d**(14513\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13354 - 0?\nAnswer: -13354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 6*b - 3. Let p be g(2). Let f = 31 + -21. Let w be f - p\/(5\/2). Solve 4*k - w = 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(sqrt(13) + -1)*5)**2 + (5 + sqrt(637)*2 + sqrt(637) + 3)**2.\nAnswer: 6*sqrt(13) + 8843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24072 = 360*k - 8592 for k.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hgzzgzggzzghzhxgxzxg. What is prob of picking 1 g, 2 x, and 1 z?\nAnswer: 49\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1746 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-463*o**2 - 467*o**2 + 932*o**2 + 78)*(4 + 0 - 2) as d + u*o + f*o**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.225 * 170863.\nAnswer: -38444.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -9*h - 63. Let j be t(-7). Let c = 4 - 3. Let v(y) = 0*y**2 + 2*y - 4*y**2 + y**3 + j + c. Calculate v(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-7 - -1) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625395310.\nAnswer: 2, 5, 131, 199, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/235 - 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 48. Let p(s) = -50*s**2 - 51*s**2 + 100*s**2. What is p(l(n))?\nAnswer: -n**2 - 96*n - 2304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -235 - (-2)\/(14\/(-49)). Let q be (11\/(z\/(-33)))\/(2\/4). Solve -4*y + 10 = q*w, -w - 3*y + 5 = -0*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, 0.7, -32\/5, -6?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**28)\/(z\/z**(-6\/11))*z*z*z**(2\/21)*z*z\/(z\/(z\/(z**(2\/65)\/z)))*z assuming z is positive.\nAnswer: z**(-337552\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199692\/5 - 3882*l**3 - 15*l**4 - 1001556\/5*l - 1263567\/5*l**2 = 0. What is l?\nAnswer: -129, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6) + (-34)\/(-6). Let g = 7 - v. Let z(m) = 8*m**3 - m**2 - 3*m + 3. Is z(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.9 + 22. Let m = x - 17. Which is the nearest to 0.1? (a) 0 (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(-3 - 31 + 5)*(-3*a + 0 + 0)*(-5 + 0 + 3)*(-2*a**2 + a**2 + 0*a**2).\nAnswer: 522*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*i + 35*i + 84 = 0. Let h be (-24)\/i - 164\/(-14). Is 497 - (-3)\/(h\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36830\/(-14732)*3\/(30\/22)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -268?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107500000 = 4*k + k. Round k to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 736 and 6976.\nAnswer: 160448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**6\/120 - 19*w**5\/60 - 17*w**4\/24 - 13*w**3\/2 - 56*w**2. Calculate the least common multiple of 24 and q(20).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 0*l + 5*l + 8, -2*l = -n + 11. Let -16*d - 14*d**3 - 4*d**4 + 0*d**4 - 10*d**n - 24*d**2 - 12*d**2 = 0. What is d?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1716, -1, 6 in decreasing order.\nAnswer: 1716, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38124, 4.9, -3, 0.04 in ascending order.\nAnswer: -38124, -3, 0.04, 4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j + 14. Let n be k(5). Let m be (n - -24) + -8 + 6. Suppose -17 = -5*h + 2*u + 19, m = 5*h + 3*u. What is the smallest common multiple of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 84\/5, -14, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -1\/5, -3 in descending order.\nAnswer: 2, -1\/5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*k + 3400, -5*s - 554 = -5*k + 5166. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 divided by -53?\nAnswer: 204\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -577, -2451, -5567, -9925, -15525, -22367, -30451?\n\"Answer: -621*b**2 - 11*b + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.54 - -15.64. Let g = 0.018 + 6.782. Let k = g - -1.2. Sort i, k, 0.5 in ascending order.\nAnswer: i, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -544*j**5 + 8*j**4 + 1125*j**2 + 37*j - 674966 wrt j.\nAnswer: -10880*j**3 + 96*j**2 + 2250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - o)*(-4*o**3 - o**3 + 3*o**3)*(1 - 1 + 2*o).\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -0.065448414098.\nAnswer: 3.065448414098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -525651 - 1?\nAnswer: -525652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87094656?\nAnswer: 2, 3, 11, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101.05 + 100. Let l = 0.76 + h. Which is the closest to l? (a) 2 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 23*h**2 - 17*h + 197. Determine t(-22).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.9303 take away 3032635?\nAnswer: -3032566.0697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, -308, -780, -1268, -1778, -2316, -2888, -3500?\nAnswer: -4158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v - 8. Suppose v*r = 4*r + 5*a - 3, -a = -5*r + 12. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 760\/(-1368) + 593\/63 + 1\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*k - 7*k + 270*k + 12388 = -5*k for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2254232221.\nAnswer: 1117, 2018113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven halves of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**4\/4 + 8*v**3\/3 - 5*v**2 - 9*v - 4. Let u be k(-9). Solve u = -2*q - 2 - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222221101 - 0?\nAnswer: 222221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -7\/4 (c) 4\/5 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 6:16 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 836 = -3*w - p, 0 = -w + 5*w - 5*p + 1083. Let g = -3103\/11 - w. Calculate the common denominator of g and -8\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4460 + 5751. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 64638969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -2*y**7\/105 + 11*y**6\/15 - 56*y**5\/5 + 245*y**4\/3 - 686*y**3\/3 - 226*y**2. What is v in a(v) = 0?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o**2 + 2*o + 2. Let u be x(4). What are the prime factors of 4\/(-12) + u\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 12:40 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9678*k*m**3 + 2*k*m**2 - k*m - 9*k - 1668*m**3 - 2521*m**2 + 18*m wrt m?\nAnswer: -58068*k - 10008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -598126 + 1006289. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/(-1449))\/(3\/(-7)) - (-448)\/18?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -248\/3 + 2702\/33. What is the common denominator of 49\/3282 and w?\nAnswer: 36102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-60)\/(-52) + 2438\/(-299)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0 = 6. Let p(g) be the third derivative of -g**5\/60 + g**4\/12 + g**3\/3 - g**2. Calculate p(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 0. Suppose -3*o = -4*h - 21 + u, -5*o = -2*h - 25. Let x(n) = -3 + 7*n + h*n + n**2 - 3*n. Give x(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13 + 5 - 6 - 8. Solve -a + h - 1 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39989.25 hours in nanoseconds?\nAnswer: 143961300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 + 32 + 24*f**2 - 69 to the form u*f + x + q*f**2 and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29753629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**7\/252 - g**6\/60 + g**5\/60 + g**4\/36 - g**3\/12 + g**2\/12 - 9*g + 3. Factor h(c).\nAnswer: (c - 1)**4*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.31 and -17.1.\nAnswer: -16.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**5\/90 + x**4\/6 - x**3 + x**2 + 6*x. Find g such that c(g) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 i when four letters picked without replacement from ppiippppiip.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5254 - 94525\/18. Let l = -1\/1111 - -125549\/6666. Find the common denominator of z and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11524, 23008, 34532, 46114, 57772, 69524, 81388?\nAnswer: 93382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 711937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5*(21 - 71298\/3400)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, n: 2, w: 6, d: 1, i: 5, x: 3}. Give prob of sequence nn.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4756*u + 6732*u + 3635*u + 6455*u.\nAnswer: 12066*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.174\nAnswer: 0.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 181, 705, 1579, 2803?\n\"Answer: 175*d**2 - d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**4\/12 - 6*u**3 - 64*u**2 - 2*u - 321. Suppose j(a) = 0. Calculate a.\nAnswer: -32, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -289 (base 12) to base 8\nAnswer: -611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117830*n - 208*n**2 + 117830*n.\nAnswer: -208*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 3*k + k**3 - 12 - 5*k**2 - 9*k in the form i + d*k**3 + t*k**2 + f*k and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 462551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 154 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2 - 7 - 3 - 10 + 21 + 11*k. Let n(y) = 7*y. Calculate n(o(l)).\nAnswer: 77*l - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.58 - -0.28. Sort -5\/3, 5, -4, u in decreasing order.\nAnswer: 5, u, -5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 125*u**3 - 5*u. Let z(i) = 188*i**3 - 8*i - 158443 + 158443. Determine -8*t(b) + 5*z(b).\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40319 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 3483?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -747*c - 13453. Calculate p(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 123946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 2*v + 3*v)*(1 - 2 - 1) - v - v + 3*v + 1237 + 2*v + 280 - 5*v - 142 + 0*v.\nAnswer: -6*v + 1375","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2428, 2013, 1516, 937?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 49. What are the prime factors of 10\/60 - ((-370)\/12)\/f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 + 11*k**3 - 5*k**3 + 3*k**5 + (3 + 0 - 4)*(2 - 2 + 2*k)*(-2 - k**2 + 2)*(-3*k**2 + 6*k**2 + 6*k**2).\nAnswer: 23*k**5 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g**3 - 12*g**2 + 14*g - 21. Let a(d) = -3*d**3 + 6*d**2 - 7*d + 11. Let m(c) = -9*a(c) - 4*z(c). What are the prime factors of m(-10)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -217 - -2432?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*p + 151*p = 79*p - 5*l + 76, -4*p + 29 = l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 0 + 0*a + 0*a**4 - 1\/60*a**5 + 78*a**2 + 5\/6*a**3 + 67\/120*a**6. Find the third derivative of r(v) wrt v.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + -30)*(-895884)\/594?\nAnswer: 2, 3, 11, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 487 + -428. Suppose 0 = -h - 3*j + 36 + 12, 0 = -3*h - 3*j + 162. Which is smaller: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19\/5 - 43\/10. Let w = 16 - 13. Let a = -0.1 + 0.6. What is the closest to l in w, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b - 1760 = 5*f, 0 = 2*b + 5*f - 669. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*b = 169*b - 4*q + 119, 35 = 3*b + 104*q for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327980035?\nAnswer: 5, 773, 84859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -3006, -3\/8, 189, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48809 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hds when three letters picked without replacement from {s: 2, o: 1, h: 2, a: 1, d: 1, j: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2544 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 8*z**2 - 2*z + 10. Determine p(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - (4*sqrt(85) + sqrt(85)))*-4*-3)\/(sqrt(55)\/(-5*sqrt(88)\/sqrt(8))).\nAnswer: 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (5 + -6 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.012 to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8673.9 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, z: 1, h: 1, g: 1, b: 1}. Give prob of picking 1 b, 1 j, and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 7:39 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from {h: 1, m: 1, e: 1, p: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2537*r**4*z**2 - 100*r**3*z**3 + 322*r*z**3 + 4*r*z**2 + 24*z**3 - 2*z**2 - z wrt r.\nAnswer: 30444*r**2*z**2 - 600*r*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.612 - -0.44. Let y = 0.028 - z. Which is the nearest to 0.5? (a) 4 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -928 + 931. What is the closest to -2\/7 in 8, 4\/5, -4, f?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 291 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 + 8*c**4 + 4*c**4 + (3*c**4 - 4*c**4 + 0*c**4)*(0 - 2 + 3) - 15 + c**4 + 15 - 5*c**2.\nAnswer: 12*c**4 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 6. What is the units digit of f(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-4.8333.\nAnswer: -0.96666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6110155*d**5 - 16*d**3 + 44109597*d**2.\nAnswer: -366609300*d**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(19) - (sqrt(19) + (2*sqrt(190) + sqrt(190))\/sqrt(10)) - 6*(0 + sqrt(19))) + (sqrt(190)\/(sqrt(10)*1 + sqrt(10)) - -1*sqrt(171)))**2.\nAnswer: 44*sqrt(19) + 2363\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -48, 0.3, 15?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.28 - 0.18. What is the biggest value in j, -3\/13, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -48*r + 18*r + 14*r + 11*r + 25. Let s be g(6). Let u be (5 + s)\/(-1 + 0). Solve u = 4*o - 11 - 1, -4*o + 32 = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586413*g = 586396*g + 68 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 12, p: 1}. Give prob of picking 2 k and 1 p.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 81*n**2 + 117*n - 4081. Determine c(-83).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.53 to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1606908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 - 26*q**2 + 44*q + 149. Give f(-14).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5699894390 rounded to the nearest one hundred thousand?\nAnswer: -5699900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 11*c - 19. Let a(f) = -3*f**2 + 4*f + 7. Let x be a(3). Let z be t(x). Let l(p) = -p**3 + 3*p**2 + 7*p - 5. Calculate l(z).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k - i, -k = 4*k + 2*i + 2. Put 7, k, 35 in ascending order.\nAnswer: k, 7, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r - r + 0*r + (-2 - 1 + 5)*(4*r + 2*r - 4*r) + (-1 + 9 - 5)*(4 - 4 + 3*r) + (1 + 4 - 1)*(7*r - r + 9*r))*(6 - 1 - 3) in the form s*r + b and give s.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (-2)\/14 + (-116)\/(-28). Let w(a) be the first derivative of 7*a**3\/3 - 3*a**2 - a - 2. Let d(b) = b**2 - b. What is i*w(y) - 4*d(y)?\nAnswer: 3*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*c**2 + 508*c + 156.\nAnswer: -4*(c - 13)*(10*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**5\/20 + u**4\/2 - 7*u**3\/6 - u**2 + 6*u. Let m be w(4). Factor 3*k**2 - k**2 - k**m - k.\nAnswer: k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -35*m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 61 + 67 = 2*p - 6*p, k = 9*p - 36 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1332 and 2516.\nAnswer: 22644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5570*y**4 - 21 + 5616*y**4 + 2*y**3 + 19 in the form v*y**2 + x*y**4 + w*y**3 + h*y + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(16\/(-80))\/((-1)\/1)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 11*n - 11. List the prime factors of l(-14).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -f - 14, 5*f = -3*y - 61 + 83. Is y at least -372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8574, 17159, 25716, 34233, 42698, 51099, 59424, 67661?\n\"Answer: -2*n**3 - 2*n**2 + 8605*n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + -5 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2. Let i(w) = -2*w**2 + 8*w + 3. Let o(a) = i(a) + l(a). Let r be o(6). Solve 6 = 3*m + r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 655 (base 13) to base 7\nAnswer: 3106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 0 - (-40)\/18. Suppose s = -8*s + 18. Sort w, 0.4, s.\nAnswer: w, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 60*t + 513. Let a be h(47). What is the highest common factor of 33 and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -3 - -3 - (-4 - ((17 - 47) + 24)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2477871 - 1025390. Suppose -97519 = -5*l + b. What is l rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -25. Let t(g) = 3*g**2 + 24*g - 5. Let r be t(u). Suppose -r - 137 = -3*j. Does 23 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 14) to base 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o**4\/7 + 219*o**3\/7 + 25605*o**2\/7 - 2217*o - 1470 = 0. What is o?\nAnswer: -35, -2\/5, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 4 - 4)*(11*b + 4*b - 12*b) + 2*b**3 - 3*b**3 - b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -89841 * 2\nAnswer: -179682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0626 - 0.06260722. What is i rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -77.12?\nAnswer: 231.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 4073 (c) 118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)*-2)\/sqrt(4) + 1*sqrt(90))\/((sqrt(90)\/sqrt(2)*6)\/(sqrt(9) + sqrt(9) + sqrt(90)\/(-2*sqrt(10))))*4.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -l + 60. Let h be (32\/(-10))\/(-4)*l. What are the prime factors of h\/((9\/6)\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162617 is divided by 32518?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 98, 228, 440, 752, 1182?\nAnswer: 1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3124855\/344915974 - -105\/11813. Let g = d + -1800961793\/262782. Let f = -6846 - g. Calculate the common denominator of f and 31\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**3\/3 + 3*k**2\/2 + 2*k + 7. Let u be d(3). Calculate the highest common factor of 140 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34.1 + -37.1. Sort c, -38, -1.\nAnswer: -38, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 0*m + m + 3 + 1. Let x be w(0). Suppose 40 = x*n + 4*d, 0*n + 2*n = -d + 20. What is the remainder when 39 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 42 = 98. Calculate the lowest common multiple of 140 and p.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 492 = -500. Let d be 4\/(-10) - v\/(-5) - -5. Sort 29, 2, -5, d in increasing order.\nAnswer: -5, 2, d, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 3*d**3 + d**3 - 2*d + d**2 - d**3 as z*d**3 + j*d + h*d**2 + x and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29015?\nAnswer: 5, 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.12885 (b) 1.6 (c) -0.2 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 + -97. Let l = a - 4. Which is smaller: 3\/22 or l?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - 2*y - 7. Let o(a) = 2*a**2 + 2*a + 8. What is -4*o(v) - 3*u(v)?\nAnswer: -2*v**2 - 2*v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -15*h - 135. Let g = -9605 + 95967\/10. Find the common denominator of ((-2)\/16)\/(h\/((-80)\/(-6))) and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*h + 1965 = -3435 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -211.362 + 0.362. Let c = -210.9 - b. Let p = -0.2 + 0.2. What is the nearest to p in c, -2\/7, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**8\/560 - z**4\/8 - z**3\/2 + z**2. Let o(p) be the first derivative of j(p). Differentiate o(a) with respect to a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5\/3 + 2*h**4 - 4*h**3\/3.\nAnswer: -2*h**3*(h - 2)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.5 + 0.3. Let v = z + 0.2. Sort 0, -1\/5, v.\nAnswer: v, -1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -476848*n. Let s(q) = 2*q. Determine s(l(m)).\nAnswer: -953696*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-178)\/8 - (-8)\/32. Which is smaller: g or -21?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 3*s**2 + 2*s**2)*(10 - 7 + 13).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 - 3*r**3 + 5*r**3 + (-2*r**2 + 2*r - 2*r)*(-5*r + 13*r - 19*r).\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 971839513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 18.73 (b) -4\/7 (c) -2\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38, -74, -94, -98, -86?\n\"Answer: 8*y**2 - 60*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 - 4*o**2 + 4*o - 2. Let f be z(2). Suppose -16*y + 20 = -6*y. What is the highest common divisor of f and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -383, -763, -1121, -1445, -1723, -1943, -2093?\nAnswer: -2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5)\/l**(-3\/5))\/(l**(-5\/3)*l*l*l**(5\/2)) assuming l is positive.\nAnswer: l**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7187 = 10*k - 24027. Suppose 0 = 3*s + s - k. What are the prime factors of s?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.008929 - 10058.591071. What is f rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 4)*(-b**2 + b**2 - 3*b**2) - 3*b**2 - 12 + 12 + (2*b + b - b)*(-4*b - b + 6*b) + (b - 27*b + 4*b)*(-3*b + 5*b + 5*b).\nAnswer: -170*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4693 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6613 - 6288. What is the remainder when b is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5522623 a multiple of 307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*o)*(1 - 2 + 0)*(-3*o**2 + 3*o**2 - o**2)*(0 - 2 - 4).\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102010210 + -2012122?\nAnswer: 22221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 2018 = 121. What are the prime factors of v?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 32*q**4 + 732464*q**3 - 998557934*q**2 - 499416302*q - 62432760 = 0?\nAnswer: -24180, -1\/4, 1291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**2. Let k(b) = -15*b + 26*b - 10*b + 25. Let y be k(22). Let l(t) = -4*t**2 - 96*t + y*t + 49*t. Give h(l(z)).\nAnswer: 112*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 g when three letters picked without replacement from xxvxvxxvgxgxgxggggx?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/2*1)\/(183\/(-854)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 484585 and 425.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (6*(sqrt(832) + sqrt(832)*-1) + 5 + sqrt(832)*1 - 6*(-5 + 1*sqrt(832) + sqrt(832))))**2.\nAnswer: -5456*sqrt(13) + 101633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z + 80 = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*k**3 - 136*k**3 + 313*k**3.\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -15. Suppose j*w = 40 + 48. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 3. Suppose 487 = j*y - 185. Suppose -7*o - y = -10*o. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 11*u - 26. Let w be k(13). Suppose w = 14*p - 1644 - 8030. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2\/(-1*(-9)\/26631)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2698*u - 35 = -2703*u, 3*u + 24 = -13*v - u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -63.6 and 3.\nAnswer: -190.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 36 - 126 + 91 - 97*n**3 + n**2 + 2*n. Let f be 1\/(1 + 1 + -3). What is the tens digit of c(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/5271398 and 49\/228.\nAnswer: 31628388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/7)\/((c**(1\/2)\/c)\/c*c) assuming c is positive.\nAnswer: c**(11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/21)\/(178\/356).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 204673363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 3741.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1086 and 124408540?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = 8. Let a be (-2)\/d + 217\/21. Solve 4*v = a - 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7384 (b) 7 (c) -0.38 (d) 5\/2 (e) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -19. Solve -d + 5*v = 5, -2*v = z*d + 2*v - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*n = 7, 4*n - 13 = -3*j - 0*j. Let y be j - 6*3\/(-6). What is the third derivative of 2*h**2 + 7*h**2 - y*h**2 - 3*h**3 wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 710056 and 5.\nAnswer: 3550280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 10 + 5*o + 0*o)*(o**2 + 0*o**2 - 2*o**2)*(0 + o + 0).\nAnswer: -5*o**4 + 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134 and 1831646?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 31. Let r = t + 8. What is the closest to -0.2 in -4, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 6203*v - 14 + 4396*v - 385*v)*(-3 + 3 + 2*v) to k*v + a + b*v**2 and give b.\nAnswer: 20428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -78375 divided by 45\nAnswer: -5225\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 7*w**2 + 6*w + 13. Calculate s(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13818 + -13791 - (-51 - (3 + -2))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 34 = 7*a. Let p be (a\/(-3))\/(1\/(-3)). Solve 3*x - 5*r + 25 = 8*x, -2*x + 3*r = -p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, e: 1, f: 2, r: 2, s: 1, z: 1}. Give prob of picking 2 r and 1 i.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -8. Let z = 22 + v. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1)*-2*2. Let o = -327.3 - -327. Which is the third smallest value? (a) d (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/2020851 and 145\/18.\nAnswer: 4041702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*q - 15, -3*k + 3*q - 6*q + 18 = 0. Suppose k*d = -4*m - 0*d + 1209, 2*d = -3*m + 898. Let z = -66 + m. What are the prime factors of z?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-275)\/1750*56*(-5)\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430, 445, 472, 511?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69\/2 - -211\/6. Let u = 166 + -163. Factor 0 - 1\/3*b + 0*b**2 + 0*b**4 - 1\/3*b**5 + j*b**u.\nAnswer: -b*(b - 1)**2*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 26. Suppose 3 = j + i - p*i, 0 = 5*i. Solve 0 = -2*l + 5*k + 15, 0 = -j*l + k + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -7. What is the smallest common multiple of 5 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 17*g - 20 = 0. Let r(q) = 4*q + 2. Suppose 2 = 2*j - 6. Let f be r(j). Solve g*u - t = -2 + 16, -3*t = -4*u + f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36686\/(-913) - (-3)\/(66\/4). Let w be (-5)\/((-25)\/(-66)) - 8\/i. Which is the second smallest value? (a) 0.03 (b) w (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 54 + 8 = 0. Suppose 0 = 5*a + 3 - j. Suppose -a*g = g - 80. What is the lowest common multiple of g and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7788 is divided by 147?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 649832965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/377 (b) -1\/8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdbbdovobobvovodoc. Give prob of sequence bocv.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssns when four letters picked without replacement from {s: 14, n: 5}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 112911316487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxxxxxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/3 + 1652*d**4\/3 - 50528*d**3\/3 - 76224*d**2 = 0?\nAnswer: -4, 0, 36, 794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - 1.7. Let r be (1 - 2\/4)*-8. Let z be (-1)\/r*4\/(-3). Are o and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/8)\/((-4)\/(-16)). Suppose h - w + 5*w - y = 0, 0 = -4*h + 3*w + 3. Find the third derivative of 5*t**2 - 7*t**3 - 2*t**h - 4*t**2 + 4*t**2 wrt t.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53288 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + y + 1. Let s(n) = -n**2 + 37*n + 53. Let r(m) = -2*d(m) + s(m). Is r(35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c - 1. Let g be b(1). Let q(o) = o**2 + 4*o - 8. Let l be q(g). Suppose -y + 32 = l. Solve 0 = -4*p - a + 1 - 5, -5*a = -4*p - y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5746 and 9146.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - l = -0*o + 9, -7 = -o + 3*l. Let u(z) = 3*z - 4. Let t(r) = r - 1. Calculate o*t(p) - u(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 13 + 17)*(-j**2 + 2*j**2 + 3*j**2) + (5 - 4*j**2 + 0*j**2 - 8)*(0 + 0 - 1) in the form b*j + z*j**2 + p and give z.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-232)\/174*(-15)\/2*2. Let i(x) = 3*x + 5. Let r be i(5). What is the highest common divisor of r and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17193\/6860 - -15\/343. Calculate the common denominator of -83\/20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 9*z + z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*b + s = 235*b + 23, 0 = 3*b - 4*s + 75 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4365, 4364, 4349, 4308, 4229, 4100, 3909, 3644?\n\"Answer: -2*r**3 + 5*r**2 - 2*r + 4364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*o + 18. Let u be (-1 - -3)\/4*o. Suppose 13 = q - 11. What is the highest common divisor of u and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-330 - -348) + (-1 - 0) + -4 - 20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u + 51. Let o be t(-23). Let i(r) = -r**3 + 5*r**2 + 5*r + 2. Let z be i(5). Calculate the highest common divisor of z and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3293428 and 1.63?\nAnswer: 3293426.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*w, 10*w - 72476 = -u + 6*w. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, z: 10}. Give prob of sequence zz.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -0.5 (c) -4\/9 (d) -10.2 (e) 2\/11 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 2*r - 4, -22*r + 15*r - 5*o = -5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.49 > 209705\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18799 or -18798?\nAnswer: -18798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**3 + 29*s**2 - 10*s - 2. Let r be j(1). Solve 18*h = -v + r*h - 6, -h = -3*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**2 + 13*u**2 - 6*u**2 - 8*u**2.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5\/3 + 2408*l**4\/3 - 612616*l**3\/3 + 47445280*l**2\/3 - 1158111104*l\/3 - 2510942720\/3 = 0. Calculate l.\nAnswer: -1430, -2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-28) - (-145)\/35. Suppose -4 = x, q*l - 3*l + x + 2 = 0. Solve l = 5*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 13*x + 31. What are the prime factors of s(-14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k = 0. Which is bigger: k or -2\/197?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50560465?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -18. Suppose n = 2*f - 105 - 245. Suppose 0 = 4*g - 4, 5*l - 4*g - g - f = 0. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u + 2. Let a be o(4). Suppose 35 = 5*i + 5*j, 1 - a = -3*i - j. Let p = i + 22. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - (4 + (7 - 15 - -4)) - -9.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1509 (base 12) to base 2.\nAnswer: 100110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2712 and 2760 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 73 = 5*i. Suppose 6*v = 13*v - i. What is the remainder when 3 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 40*b**2 - 6*b - 9. Suppose -27*q - 839 - 241 = 0. Is z(q) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 39*w**2 - 9*w + 0 - 77*w**2 + 39*w**2 + 6. Let t = -18 + 47. What is the remainder when b(-8) is divided by t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/6 + 1060\/24. Suppose 2*p - 14 + f = 0. What is the remainder when 155\/p*(-6 + 3) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 - (-2805)\/(-60). Let s be (2 - (-9)\/(-9)) + (101 - 2). Let q = s + z. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.43418 - 3.\nAnswer: -28.43418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70195.\nAnswer: 5, 101, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + 200\/22*(-24)\/32. Put u, -0.07, 4\/11 in decreasing order.\nAnswer: 4\/11, u, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 21*w + 22. Let s be u(-20). Suppose -s*c = 4*n - 6, -3*c - 4 = -7*c. What is the highest common divisor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1040 + 859. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/154)\/(28\/(-49)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13219443 to the power of 1\/2, to the nearest integer?\nAnswer: 3636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5558245 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v + 10*v - 3*v**3 + 14*v + 11*v**3 wrt v?\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(104)\/((sqrt(80)\/sqrt(2))\/sqrt(5)) + ((sqrt(91) - (sqrt(91) - (1*sqrt(91) - sqrt(91) - sqrt(91))))*5 + sqrt(91))\/(1*sqrt(343)).\nAnswer: 3*sqrt(13)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/15 + 108)*((-112)\/8)\/14.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1334997 and 101\/4570260.\nAnswer: 507298860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (2 + (5 - 4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 7\/2)\/((-5)\/(-10)). Suppose -4*o + 3*o = 0. Suppose o = -5*i + i. Solve -t - 3*w + 1 = 0, -t - w + r - 4 = i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 6*j + 27 = 2*k, -4*k = 2*j - 36 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 122527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*p - 22 = -2, 25 = -5*p. Suppose 3*l - q*l + 80 = 0. Let b be 624\/l + 6\/(-10). Solve 3*z - 8*z - b = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15452, -30967, -46546, -62189, -77896?\nAnswer: -93667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**3*j**2 + 242838*c**3 + 8*c**2*j + 773*c*j**2 - 3*c + 8453*j**2 wrt j.\nAnswer: -8*c**3 + 1546*c + 16906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 49. Let b(l) = 84*l - 93*l + l**2 - 5 + 0. Give b(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 29 + (5\/5)\/(5\/(-10)). Calculate the greatest common factor of i and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -940000 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2527473\/61 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 divided by 1?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (8 - 8) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -113133033 (base 4) in base 16?\nAnswer: -177cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 9 = o, -2*j = 2*o - 80 + 66 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*i**2 + 40 - 6*i**2 - 41 - 4*i**2 to j*i**2 + u*i + n and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -37008\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/3 - 4\/6. Let h = 2 - l. What is the remainder when 194\/h + 3\/(-18) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187 a factor of 1107364581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -44509 + 5?\nAnswer: -44504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1725 + 5400. What is the highest common divisor of 10 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 146146 and 2184.\nAnswer: 1753752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 17. Let h = -8 - -8.5. Let l = 0.1 - 0.9. Which is the third smallest value? (a) l (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6556?\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22, -122, -222, -322, -422, -522?\n\"Answer: -100*x + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 2.439?\nAnswer: 2.439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 346958687 divided by -1029551?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2865 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1712439289*0.3.\nAnswer: -513731786.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 10. Let g = q - -6. Let f = 5.7 - 14.7. Put -5, g, f in ascending order.\nAnswer: f, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 2 = 5*y + 4*y, 5*a + y = 2*y - 58 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/7, 15, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 41470 and 539108\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2575*c**2 + 5863*c**2 + 140*c**2 - 28 + 28 as p*c**2 + a + z*c and give p.\nAnswer: 8578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-15))\/((-2)\/(-42)). Let k(i) = -i**3 - 11*i**2 + 19*i + 106. What are the prime factors of k(y)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(119) + sqrt(119)*2)*-3 + sqrt(119))*1)\/(-5*1*((sqrt(70) - sqrt(70)*1) + sqrt(70))\/sqrt(10)).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.214 times -239859?\nAnswer: 51329.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*m*t**2 + 7376*m*t*w - 89847105*m*w - 397*t**2*w - 3*w wrt t?\nAnswer: 28*m*t + 7376*m*w - 794*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4586317563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*-1*4\/(-3). Suppose -11 = -5*b + q. Suppose 5*d + f = 2*f + 52, -10 = 5*f. What is the lowest common multiple of d and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 2:49 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.01+2057\nAnswer: 2056.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2986 + -23931\/8. Let a = 114837\/22 - 5223. Find the common denominator of a and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 + 446.8271231\nAnswer: 446.0271231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*i - 5 = -51, 0 = 3*m - 2*i - 26. Let a = m - 4. Suppose -4*k + 3*k + 18 = 0. What is the lowest common multiple of a and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aha when three letters picked without replacement from ahohhoooa.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9092107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-27)*(-17 - -15). Which is bigger: k or -0.7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 8. Let m(u) be the second derivative of 25*u**4\/12 - 4*u - 8. Calculate m(q(b)).\nAnswer: 25*b**4 + 400*b**2 + 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 1. Let w be q(2). Let d be -4 - -8 - -3*w. Suppose d = 5*r - 4*r. Solve 0 = -3*o - 3*u, u + r = -5*o - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1261.\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.5 (c) 0.4 (d) -89\/1002 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4772?\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 3*q - 475 = -4*w, 2*w - 3*q - 215 = 0. List the prime factors of w.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440 and 40148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -16 + 27 + -16\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29 + e?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 + (11 - -32) + -85.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 16 = 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 111575 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -2*c + 1067. Let b = c + 112. Solve -3*j = b, x + j + 2*j = -13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3169 = a - 11925, 4*i - 20 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.8 - -6.13. Let c = -0.6699902 - g. What is c rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus 11178493.3614543?\nAnswer: -11178499.3614543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 27*c = -5*c. Suppose 12*q - 2*q = c. Which is bigger: -12\/17 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -102 and -0.026?\nAnswer: 101.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 - 11?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**3 + 2*n - 1. Suppose 1 = -4*q - 5*c, q + 3*c + 1 = -q. Let z be j(q). Is 6 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 3247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k + 4. Suppose -4*f = 16, 4*d + 56 = 3*f - 7*f. Let m = -17 - d. Determine v(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -3.166?\nAnswer: -0.3166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 858279649.603\nAnswer: -858279649.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 1\/140*p**5 + 0*p**3 - 4*p - 3 - 3\/56*p**4 + 11*p**2. Let z(d) be the first derivative of h(d). What is a in z(a) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.812799l?\nAnswer: 6812.799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 7 + -1 + 1. Let h be j - (2 - 1) - 13. Let v = h - -12. Solve -v*d - 15 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/4 - 276971*m\/4 + 276967 = 0. Calculate m.\nAnswer: 4, 276967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 58042132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*o + 117 - 22 = 0, -2*j = 5*o - 245. Let s be j\/(-3)*11\/(154\/21). Which is smaller: s or -54?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**2 + 2*v. Determine o(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -29*j + 13. Let u(x) = -54*x - 451. Let f be u(-11). Let l(y) = 2*y**2 - 46 - 51 - 46 + f. What is b(l(k))?\nAnswer: -58*k**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2203499, 8814005, 19831507, 35255999, 55087475, 79325929, 107971355, 141023747?\nAnswer: 178483099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34262 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 - -393. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and 3989833 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -311 - -116. Let y = -1757\/9 - p. Let w = 1\/55 + 21\/55. Which is smaller: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -3) + 14\/(-7). Which is the nearest to -2? (a) 5 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 441 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -36\/23, 109, 0.38?\nAnswer: -36\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2 - 2)*(-3 - 4 + 5) + 3*k - 2*k - 788 + 787.\nAnswer: 5*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4136445 divided by -45.\nAnswer: 91921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1 + 120\/122). Let v be 7\/1*(-6)\/(-14). Let t = v - z. Calculate the remainder when t is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 139657 and 139657 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*((2 + d - 2)*(-4 + 1 + 2) - d - d + d + d - 2 + 2)*(-3*d + 3*d - 5*d).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269, -536, -795, -1046, -1289, -1524?\nAnswer: -1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -15*z + 321. Is h(5) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.2, 4, 0, 274 in increasing order.\nAnswer: -0.2, 0, 4, 5, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/300*(-4)\/3. Let h = n - 29\/45. Which is the fourth smallest value? (a) h (b) -1 (c) -3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005903 rounded to 6 decimal places?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2820*i + 8364 = 2574*i for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 3:04 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128 + -128.1. What is the smallest value in q, 2\/7, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153756 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(21\/48) + 6\/21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3427713 is divided by 670?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 16*v**2 - 236*v - 149. Give t(23).\nAnswer: -1874","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -24*w + 8. Let k(v) = -8*v + 3. Give 11*k(y) - 4*x(y).\nAnswer: 8*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 3 + 2)\/((-90)\/(-1260))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 1\/4 (b) 15 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 1079202.\nAnswer: 7\/1079202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -31. Let j = 62\/3 + d. Let b = 42 - 37. Sort j, b, 2\/9.\nAnswer: j, 2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121885, -974766, -3289679, -7797640, -15229665, -26316770?\nAnswer: -41789971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(147) - -2*sqrt(147)*-3) - ((sqrt(147) - (sqrt(147) + sqrt(147) + -2*1*sqrt(147))) + sqrt(147))*-4)**2.\nAnswer: 77763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40645 + -11118. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16833 + 903 = 885*p for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((56\/(-325))\/14)\/((-2)\/940). Let g = w + -70\/13. What is the closest to 0 in 0.2, g, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149 - 88. Suppose 4*v = 323 + u. What is v rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 2)*(161*a - 4824 + 4824)*(-1 + 1 - 2) - a + a + a + 0*a + 4*a - a.\nAnswer: 1292*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**5 - 6*a**5 + 0*a**5 + a**5 - a**4 + a**4 + 2*a**4 + (-6*a**4 + 5*a - 5*a)*(-5 + 5 + a).\nAnswer: -13*a**5 + 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 3. Let i be u(7). Let x be i*(-3)\/(-6) - -1. Let y(z) = -z. What is y(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-6 + 3 + (-8 - -3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u - 1. Let z = -1712 - -1713. Let n(l) = 1. Give z*c(r) - n(r).\nAnswer: -11*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 4*i + 14, 0 = a + 30344*i - 30348*i - 17 + 7 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 962462477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278329760 divided by -2.\nAnswer: -139164880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/27 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/5)\/(-2))\/(9\/90).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/10 - 2*y**2 - 31*y\/10 - 7\/5.\nAnswer: -(y + 1)**2*(3*y + 14)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4302.93061 + -5019.934. Let q = j - -717. What is q rounded to 4 dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42649 - 15155 = 9634*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52349*q - 224296*q - 74460*q - 93284*q.\nAnswer: -339691*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 210\/22*(-4)\/(-8) and 63\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -11*g + 20. Suppose 3*y - g = 4*y. Let b(z) = z**3 + 6*z**2 + 2*z - 3. What is b(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s + 3*s + s + 3. Let c be k(0). What is the third derivative of 7*q**3 + 0*q - 8*q**c + 2*q**2 + 0*q wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - 4*h**2 + 4*h)*(-4*h - 2*h - 23136*h**2 + 8255*h**2 + 5*h + 0*h).\nAnswer: 59524*h**4 + 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 260.9355 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 12*k - 72. What is n(0)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 11*r**3 - r. Let q(g) = g**3 + g**2 - 39*g + 8. Calculate the smallest common multiple of q(8) and y(1).\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 51?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 783435.2l?\nAnswer: 783435200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9079589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + (-12)\/78*121\/6 and 73\/21?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1\/b)**14*(b*b**2*b)**(20\/3))\/(b**(-4\/7)*b**12)**23 assuming b is positive.\nAnswer: b**(-4960\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*u + 4. Let m(v) = -2*v. Let r(z) = 14*z + 1. Let s(o) = 4*m(o) + r(o). Calculate s(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/8 - (-30)\/(-24). Let q = -11 - -9. Let n be (q - -5)*m\/(-69). Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 - -72. What is the highest common divisor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1581*r - t = 1579*r + 14, 26 = 3*r - 4*t for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 22*o - 602. Calculate x(24).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.63 - -0.98. Let v = u - -9.65. Is v < 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8546960 divided by 4.\nAnswer: 2136740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from eeeigmpee?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4073 = 20*y + 8*y - 17711. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(800)*1)**2 + -6*(-1 + sqrt(18)) + (0 + sqrt(882) - sqrt(18)).\nAnswer: 28806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7473 + 40?\nAnswer: 7513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2766654.\nAnswer: 2, 3, 11, 89, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -125 < -124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z**2 - 5*z**2 + 20*z + 48 - 4*z - 2*z**2 + 3*z**2.\nAnswer: -4*(z - 6)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -335799144 divided by -73932\nAnswer: 4542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1612 = m - 6*m, 0 = 3*j + 3*m - 1602. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 6*y**2 + 7*y + 1. Let f be l(7). Let u = 94 - 88. Let p(c) = -2*c + 9. Let j be p(u). Sort f, j, 3 in descending order.\nAnswer: 3, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -5, 2\/13, -1\/814, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 18442411.1 to the nearest one thousand.\nAnswer: 18442000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 206144.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 11945080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3 - 6. Suppose -p + 12 = r*p. Suppose 91 = p*t + 13. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2041 (base 10) to base 3\nAnswer: 2210121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.153551l to millilitres.\nAnswer: 3153.551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (7 - 7)) + (2 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.13? (a) 11 (b) 0.1 (c) 0.4 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k - 3. Let r = -23 - -8. Let i = r - -20. List the prime factors of z(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/4)\/3*-58. Let b = a - 13. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14039384 divided by -14888\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -1, 142?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 28. What is the least common multiple of 17 and l?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i. Let f(s) = -2*s**2 + 9*s + 23. Let a be f(6). Let m(t) = 5*t - 4*t + a*t**2 + 3*t - 6*t. Give m(q(y)).\nAnswer: 5*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -3\/587?\nAnswer: -3\/587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 10*y - 9. Let f be a(-9). Suppose 2*k = -3*u + 575, -2*u - 5*k + 10*k + 377 = f. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1324043 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**6\/100 - t**5\/25 - t**4\/20 + 2*t**3\/5 - 103*t**2. Find w such that s(w) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, q: 2, l: 3, i: 2, u: 3}. Give prob of sequence flq.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 3*a - 14 = 0, -4 = -4*b + 3*b + a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159201 to the power of 1\/2, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}