diff --git "a/data/dm_maths/full_data_1/1913_11255.jsonl" "b/data/dm_maths/full_data_1/1913_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1913_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the value of (-2)\/(-7) + 8\/210*-11?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 126 = 3*j - 8*j, -3*z = -3*j + 81. Calculate the remainder when 51 is divided by j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -19*l + 1235. Suppose -68*h = -l*h - 123. What is the highest common divisor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + -34. Let h = l - -65. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145514 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.25460743509 - 38?\nAnswer: -14.74539256491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = -3*m - 2, 4*m = 3*b + 17. Let k be 34 + ((-4)\/6)\/(1\/(-6)). Suppose -29*o = -k*o + 45. Solve -m*s = s, -5*y = -o*s - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11411, 7531, 3651, -229?\nAnswer: -4109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -93*x**5 - 95*x**4 - 67*x - 13*x - 255*x**3 + 282*x**5 - 103*x**5 - 91*x**5 - 245*x**2.\nAnswer: -5*x*(x + 1)**3*(x + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 3 = -45. What is the second derivative of 4*z + 13*z**3 - 11 - 15*z**3 + 0 - 10*z**5 - q*z**3 wrt z?\nAnswer: -200*z**3 - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 58036, 58719, 59402, 60085, 60768?\n\"Answer: 683*k + 57353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -9*y + 150. Let i be o(21). Is 7 a factor of 616 + -2 + (-44 - i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 243 - 353010?\nAnswer: -352323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108 + 0.4.\nAnswer: -107.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + u - 11 = 0, -3*v - 278*u + 277*u + 7 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 1:34 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 68 - 47 = -5*x, -4*x + 78 = 2*k. Calculate the greatest common factor of x and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987383190.\nAnswer: 2, 3, 5, 32912773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 1073*s - 108896. Calculate w(-113).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -2*a**3\/3 + 409. Let p(k) = -37*k**2. Give p(w(j)).\nAnswer: -148*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16.2*12\nAnswer: 194.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 293854 divided by 181\nAnswer: 293854\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5763670 is divided by 25846?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44 - 1 - (-7 + 3). Let i = 75 + f. Suppose 0 = -3*u - i + 212. Is u a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11413161 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/14 and -17\/134.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44.6 - 32.4. Let w = z - 12.3. Let o = 36 - 181\/5. What is the closest to o in -1\/11, w, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*r**2 + 21 - 30*r**2 - 24*r**3 + 6*r**2 + 11*r**2 to the form o*r**2 + f*r**3 + y + h*r and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 6*p + 2. Let g be a(9). Let u = 88 + g. Let s = -36 + u. What is the remainder when 78 is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - b7?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 158*z**2 + 484*z + 114. Give u(-161).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/3*(-10)\/(-6). Let u = -1 - f. Let s = u - -15. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwhhwopoowwop. Give prob of sequence phwh.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -6 (c) -4 (d) 7 (e) -1\/7 (f) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -223 + -199.9.\nAnswer: -422.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4887 or -4897?\nAnswer: -4887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7) + 2\/(-7). Let g be 9 + (-3 + 7 - 7). Sort g, l, 2 in descending order.\nAnswer: g, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10 and 201.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**4 + 656*a**3 - 664*a**2 - 656*a + 660 = 0. Calculate a.\nAnswer: -165, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29300863?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 2:49 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (204*q - 204*q - 87*q**2)*(2*q + 7 - 7)*(-3 + 2 + 0).\nAnswer: 174*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, n: 2, l: 3, w: 1, b: 1, d: 1}. What is prob of sequence ll?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4794*r**3 + 14473?\nAnswer: 14382*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 715206*b**3*d**2*n + 2*b**3*n**2 + 2*b**2*d*n + 10*b**2*n**2 - 163497*b*d**2*n wrt b?\nAnswer: 4291236*d**2*n + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = r + 52, -3*r + y = -8*r - 242. Let z = r + 49. Let s(o) = -3*o**3 - o**2 + o - 1. Calculate s(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2 + (5 - 2 - 1)*(-2 - 2 + 5) - 4 + 3 - 1 - 4 + 7 - 4)*(331 - 331 - 15*a) + 1 - a - 1.\nAnswer: 44*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**4\/24 + 1079*f**2. Let j(u) = -23*u**2 + 0*u + 0*u. Calculate h(j(c)).\nAnswer: -23*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/5 (b) 2 (c) 4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**3 + 20*f**2 - 8*f - 17. What is t(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 3:57 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17879489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (0 - -1)*2. Suppose 18 = r + 4. Suppose 18*p - 28 = r*p. Solve 0 = -4*x - d + j, d + p = 6*x - 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-14)*2\/5*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 12*f + 0*f + 6*f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208570 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4*z - 32. Suppose 32 + 28 = 5*h. What is the smallest common multiple of z and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 221\/720 + -1\/144. Let l(p) be the second derivative of 0*p**2 + 4*p - 5\/6*p**3 + 0*p**4 + 0 - k*p**5. Find the second derivative of l(g) wrt g.\nAnswer: -36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 585 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 5464*y.\nAnswer: 2*y*(y + 2732)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a - 2. Let o(u) = -4*u - 4. Let n be 4 + -2 - (2 - 6). Let p(q) = n*o(q) - 11*h(q). What is the first derivative of p(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-150400)\/(-141))\/64*9\/(-6)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104884 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 2\/5 (c) -20 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 75831 = -23347. List the prime factors of j.\nAnswer: 13121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**2 - 91*n - 900 = 0.\nAnswer: -9, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 0*q + 5*p - 424, -4*q = -2*p - 800. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201166640 and 104472?\nAnswer: 11608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0. Suppose 5 = -h - 2*t + 11, -2*h = 2*t - 10. Let m be -51*h\/(-180) + -1. Which is the biggest value? (a) m (b) n (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/19)\/((-567)\/7182).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -71*j - 8. Let v be t(-1). Calculate the greatest common factor of v and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l**2 - 15533 + 15460 - 4*l**2 in the form g*l**2 + i*l + b and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 - 1461 - 3*y - 1475 + 2940 as c + m*y + v*y**3 + w*y**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5\/6*n**2 + 1\/2 + 1\/3*n**4 - 1\/6*n + 1\/6*n**3 = 0. What is n?\nAnswer: -3\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/11)\/((6*-1)\/(-2))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 2 (c) -17\/105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 - 5*f**2 + 4*f - 3. Let z be y(3). Let d(h) = z*h - 10*h + 16 - 10*h. What is the units digit of d(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112344 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135364000*h**3 + 1051754*h**2 + 15 wrt h.\nAnswer: 812184000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/6)*o\/(o\/(o\/o**(-1\/3))))\/(o**(-4)*o**(-4)))**(-39) assuming o is positive.\nAnswer: o**(-793\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 95107188 to the power of 1\/3, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 6\/7, 0.1, 5, -152?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 2*a**3 + a**3)*(-3*a + 0*a + a) + 23 - 18 + 4*a**4 - 2*a**2 - a**4.\nAnswer: 5*a**4 - 2*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 9*u**2 - 5*u - 8. What is the units digit of v(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*d**4 + 53895*d**3 - 8290*d**2 = 0.\nAnswer: 0, 2\/13, 829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 17 - 18)*(-4*i**3 + 2*i**3 + 0*i**3) + 5*i**3 + 0*i**3 + 5*i**3.\nAnswer: -48*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 take away 32?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + v - 3, -5*y - 74 + 62 = -4*v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + w - 410 = 6*r, -4*r = -3*w - 309. What is the highest common factor of 54 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50.53 - -55.9. Let z = i - -0.23. What is z rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/722 and 75\/22?\nAnswer: 7942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2091 + 34\nAnswer: 34.2091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**3 + 0*g**3 + g**3 + (7 - 7 - g**3)*(-3 + 1 + 1) + 1 - 1 + 2*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -10888349891298.\nAnswer: -10888349891303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000734780529 rounded to 6 dps?\nAnswer: -0.000735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000189 to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246874*v**2 - 123419*v**2 - 123456*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 2. Let y be 1*(-4 + -6)\/2. Let x be w(y). Calculate the greatest common factor of 12 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.88627ms to nanoseconds.\nAnswer: 69886270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w\/((w\/((w*(w**(2\/7)*w)\/w)\/w*w))\/w))\/w*w)\/w**(-6\/5))\/((w\/((w\/((w*(w**(1\/5)\/w)\/w)\/w))\/w))\/((w*(w*w**2)\/w)\/w)))**(1\/68) assuming w is positive.\nAnswer: w**(3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*k**2 + 9*k**2 - 11*k**2)*(16*k**3 - 8*k + 8*k).\nAnswer: 192*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -882, -4 in descending order.\nAnswer: 0, -4, -882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 31*q + 70. Determine l(-29).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 522.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 2*w**2 - 3*w + 1. What is a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 9. What is g(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t - 1. Let p = 3 - 1. Let z(d) = 66*d + 277. What is the lowest common multiple of z(-4) and w(p)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.47 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -265 + 71. Let j = a - -317. Let p = j - 113. What is the remainder when p is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 26?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 591 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29775*n**3 + 120*n**2 - 29776*n**3 + 51*n**2.\nAnswer: -n**3 + 171*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 168? (a) 5 (b) 0 (c) 34 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*o**6 - 11*o**3*y + 2*o**2 + 44*o*y wrt o?\nAnswer: 960*o**3 - 66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19077741 by 1.\nAnswer: -19077741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14797090 is divided by 518?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.06 + -2.9. Let q = 0.24 + s. What is the closest to 5 in q, -1\/5, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*o - 174, 6*t - 2*t = 4*o + 264. Suppose 43 = 2*v + 5*q, -t = -5*v + q + 5. Calculate the greatest common factor of 56 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211 (base 6) in base 16?\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/10, 51, 2112?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from {a: 1, w: 1, p: 1, i: 1, z: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*t + 3*t**2 - 34*t + 0*t**2 wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 4:46 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 37\/(3330\/(-5832))*(-2540)\/6. Calculate the greatest common factor of x and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - -54.18. Which is the second biggest value? (a) 0.2 (b) q (c) 4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 14. Let m = -19 + v. Suppose y - 3*y + 6 = 0. What is the remainder when y is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41364079 rounded to two decimal places?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -24*f + 17*f - 21 + 10*f. Let y be g(6). Let j be (-1)\/2*0\/2. Sort j, 1, y in decreasing order.\nAnswer: 1, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120 + 598\/5. Let r = 2.98 + -3. Let o = -0.02 - r. Which is the closest to j? (a) 5 (b) 0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60? (a) -5\/2 (b) 1 (c) 2\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/45 (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*f + 944*f + 711*f.\nAnswer: 1866*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48.69 + 49. Let k = -0.21 + m. Sort -2\/5, 1, k in ascending order.\nAnswer: -2\/5, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3870 = -14*u + 5384. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 87108*k + 435519. What is d(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 3, e: 1}. What is prob of picking 1 e and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014316244 to 5 decimal places.\nAnswer: 0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 bigger than 9852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4920606?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15*7)\/((-28)\/8*60\/(-210)). Calculate the highest common factor of i and 931.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2 + 3)*(-6*w**4 - 20*w**4 + 2*w**4).\nAnswer: -96*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 6:52 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*i + 92*i - 27*i + (4*i - i - i)*(0 - 3 - 1) in the form l*i + s and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1024218450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170389, -171839, -173291, -174745, -176201, -177659?\nAnswer: -179119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.052139 (b) 2\/17 (c) 2 (d) -1 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 993447814 to the power of 1\/2, to the nearest integer?\nAnswer: 31519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -7. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 v when four letters picked without replacement from {v: 3, d: 7, b: 3}?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2362 (base 8) to base 2\nAnswer: 10011110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 888 = 13*o. Suppose o - 19 = 4*f. Let l = f - 17. Solve 2*i = l*i - 4*a - 12, 0 = 4*a - 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4)\/y)**(-19\/2))**(1\/83) assuming y is positive.\nAnswer: y**(95\/166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222012.\nAnswer: 2, 3, 7, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(11\/(-3) - -3) + -8. Let y = 437\/7 + -63. What is the third smallest value in -1, d, 2\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -329, -2, 1, -8678, -4, -1 in descending order.\nAnswer: 1, -1, -2, -4, -329, -8678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -136, -267, -394, -517, -636, -751, -862?\n\"Answer: 2*t**2 - 137*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = 4*a - 2145. List the prime factors of a.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 + (-52)\/(-20). Let r = 206 + -205.01. Let i = r - -0.01. Sort u, i, -0.5 in increasing order.\nAnswer: -0.5, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5\/19 - 24*x**4\/19 - 310*x**3\/19 - 12*x**2 + 560*x\/19 = 0. Calculate x.\nAnswer: -7, -2, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 + 70. Let j be (6\/(-4))\/(y\/16). Solve 6 + 14 = j*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9929239?\nAnswer: 457, 21727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 75 + 80 - 140. Let u be g(-12). Solve -4*p + 3*z = -9, -4*p - u*z + 2 = -13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46028397*i**5 + 38323311*i**2 wrt i?\nAnswer: 2761703820*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101102112 (base 3) to base 10.\nAnswer: -7601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v + 4*v - 4*v)*(-4 - 4 + 3) + 3 + v - 3 in the form k*v + q and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 335124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13019 plus 0.45?\nAnswer: 0.58019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46370561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 3*u**2 + 2*u**2)*(2*u - 2*u + u) + (u - u**2 - u)*(0*u - u + 3*u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2692 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 - ((-48)\/(-21) + -4). Suppose 0*j + s*j = 4*h + 28, -4*j - 24 = 2*h. Let t = h - -11. Find the common denominator of t and 46\/49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -3 times 131025129\nAnswer: -393075387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 10:04 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -76, -42, 118, 410, 840, 1414, 2138?\n\"Answer: o**3 + 57*o**2 - 144*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0676 less than -855.1?\nAnswer: -855.0324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 115*o**2 - 95*o + 313. What are the prime factors of s(62)?\nAnswer: 3, 17, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 11362?\nAnswer: 79534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-96*k + 10 - 90*k + 188*k)*(0 - 2 + 3) in the form a + l*k and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**2*s**2 - 14060*o**2*y - 33*o*y - 2*s**2*y - 87*s**2 + 700*s + y with respect to o.\nAnswer: -4*o*s**2 - 28120*o*y - 33*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -4\/109, 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 3)\/(28\/(-8) - -1)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*r + w, w + 4 = 3*r - 3*w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3866\/201389 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1296*r = -1274*r - 44. Factor -10\/23*u**3 + 0 - 14\/23*u - 2\/23*u**4 + 26\/23*u**r.\nAnswer: -2*u*(u - 1)**2*(u + 7)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -24. Let d be -2 + 5 + o + 11. Suppose x = 3*x + q + 3, 3*x = 3*q + d. Put -1, 1, x in ascending order.\nAnswer: -1, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7694383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*v = 129*v. Let h be v + 13692\/44 - 2\/11. Suppose 3*g + g - h = -5*t, 5*t - 287 = 2*g. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - (-256 - -284) - (1 + 6 + 2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -5*z**4\/24 - 5*z**3\/12 + 5*z**2\/2 + 10*z. Determine l so that h(l) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5432 - -114376?\nAnswer: 106744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-1836)\/(-60))\/17)\/((-12)\/40). Put -178, o, 5, 2 in ascending order.\nAnswer: -178, o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 21*v**2 + 501*v - 15. Let t(p) = 47*p**2 + 1003*p - 34. Determine -4*t(w) + 9*x(w).\nAnswer: w**2 + 497*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010100100 - 10111?\nAnswer: -1000010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-759)\/506)\/(-1*12\/(-176)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 85\/4 - 1\/4. Let r be 2\/6 - 2\/6. Solve 5*m - h - 4 = r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2795877407.8875 and -17.\nAnswer: -2795877424.8875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - r**2 + r - 3. Suppose 6 = -m + 3*l, -2*m + 4 = -4*m + 2*l. Let n be f(m). Which is the third smallest value? (a) n (b) 4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 72 = -w, -4*v = 5*w - 6*w + 44. Solve -55 = p - w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - u - 2*u + 7 = 0, -2*u = 6. Let l(j) be the second derivative of 1\/12*j**3 + 0 - 4*j - 1\/24*j**a + 0*j**2. Suppose l(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 - 7*b + 1. Let l(v) = -2*v**2 + 4*v - 1. Let d(u) = -5*l(u) - 3*z(u). Calculate d(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-104)\/91)\/((-4)\/(-14)). Let p(y) = 18*y**2 - y**3 + 4 + 4*y - 5 - 21*y**2. Let h be p(w). Which is greater: h or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeiyimeieyy. Give prob of sequence mee.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 528, 875, 1068, 1107, 992, 723?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1004*l**2 - 69336*l + 4140.\nAnswer: 4*(l - 69)*(251*l - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(-6*sqrt(8)).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**3 + 3*u**3 + 2*u**4 + (10*u**3 - 12*u**3 + 3*u**3)*(0 + 0 + u) + 51*u + 21*u**4 - 51*u.\nAnswer: 24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 take away 1.38237?\nAnswer: 129.61763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1052 + -1046. Let r(s) be the third derivative of s**4\/12 - s**3 + 3*s**2. Give r(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 20. Let g be (-1)\/n - (-205)\/(-2610)*-3. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 144 (c) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1141 - 12?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 2. Let n be k(5). Suppose 0 = 2*b + n*b - 225. Suppose 4*x - 5*z = b, 2*x - 5*x + 26 = 4*z. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -200*v**3 + 3*v**2 + 2*v. Suppose -5*x + 6 + 4 = 0. Let g be m(x). List the prime factors of (1 + 11\/(-3))*g\/192.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - ((-6)\/4)\/(-3) - 1071\/(-714). Solve -3*w + 9*n - 8*n - 6 = 0, -5*w + p*n = 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -138*p**3 - 3 + 140*p**3 - 10 + 45*p + 84*p**3 - 45*p + (2*p + p - 2*p)*(4*p**2 - 2*p**2 - 4*p**2) in the form x*p**3 + y + i*p + m*p**2 and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -10993*v + 26. Let o(n) = 57*n**2. Determine j(o(i)).\nAnswer: -626601*i**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n + 4059 = 5*z, -4*z - 4*n = -3228. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**3 + 10*y**2 - 1152*y + 7939. Determine o(7).\nAnswer: -1007","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 2. Let y be g(-2). Let b = -6967\/57 - -367\/3. What is the smallest value in 3\/2, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.4*905\nAnswer: 2172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((4 + sqrt(833) + -2 - (-4 + 1 + sqrt(833))) + 1)**2 + -1)*1.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8 + 9 = 0. What is the highest common divisor of j and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (14 + -14 + 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003370758 to five decimal places.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 + 5*y + 5. Let f(n) = 2*n**2 - 3*n - 3. Give -5*b(u) - 8*f(u).\nAnswer: -u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 7:57 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -24.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 - 24. Calculate the highest common factor of h and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmmmgbgmmgb. Give prob of picking 3 g and 1 b.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7 - -2. Let g = -0.06 - 0.04. Are k and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (13 - 17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 77*p**2 + 7*p - 6. Let f be b(-6). Suppose -521 - f = -5*j. Suppose 3*c - 50 = j. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 11:52 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -2\/124555187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - j + 7 - 2 = 0, 4*t = -3*j + 2. Let b = 4 - t. Suppose -5*x = -5*g + g - 86, 95 = b*x + 5*g. Solve -5*r + x = -0*r + 3*s, 0 = 2*r - 4*s - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**5*x)**4\/(x**33\/x)**(-35\/3) assuming x is positive.\nAnswer: x**(1216\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 9*n**2 + 13*n + 2. Let x be u(-6). Let o = x - 28. Suppose 35 + 29 = 4*k. What is the remainder when k is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*(0*b + 4*b - 3*b)*(67 - 14 + 57).\nAnswer: 330*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = -8. Let t be c\/15 - 8\/5. Let i be -1 - (-2)\/((-8)\/(-3)). Which is greater: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1143, 0.4, -29, -2.\nAnswer: -29, -2, -0.1143, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 589 times 3.731\nAnswer: 2197.559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 0.5, -462, 2\/11, -2\/27 in increasing order.\nAnswer: -462, -2\/27, 1\/9, 2\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 27, -5*v + 410*d - 35 = 405*d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -3. Suppose f*m + 2*y - 1107 = -0*y, -4*y = -4*m + 1456. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 85?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -292, -11 in decreasing order.\nAnswer: -4, -11, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 z, and 1 e when three letters picked without replacement from ezuzepz?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102012 - 202?\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wewe. What is prob of picking 2 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 17*k - 1624 = 0. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + z - 2*z + 5*z - 4*z + (-3*z + 3*z + 2*z)*(0 + 2 + 0) + 2*z - 5*z + 2*z - z + z - z + 12*z + 8*z + 5*z)*(-11 + 95 + 27).\nAnswer: 2997*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 27, 134, 347, 702?\nAnswer: 1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 8208 - 2862 = 0. What is the greatest common factor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + -6 + 0\/1 + 4424 + -4439?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**3 + 3*s**2 - 5*s - 9. Let t(q) be the second derivative of -q + 3\/20*q**5 - 1\/12*q**4 + 0 + 2*q**2 + 1\/3*q**3. Determine 2*o(m) + 5*t(m).\nAnswer: m**3 + m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and -447656287.\nAnswer: -447656295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57*0.1.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**4\/12 + 16*p**2. Let y(s) = 12*s**2. Give a(y(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -t - 3*l, 4*t - 2*l + 20 = 2*l. Let j(r) = 21*r**2 + 7*r + 6. What is the units digit of j(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36*26\/117 - 16. Let p(m) = 6*m - 11. Calculate p(n).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*h - 346 = 0, 5*h + 275 = 2*u + 2*u. Suppose -16*o + 26 = -u. Let a(r) = 2*r - 3 - 4*r + 6. Calculate a(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -105, -171, -241, -315, -393, -475?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 243 + 79*g - 490 + 6*g**3 + 54*g + 247 to the form k*g**2 + m*g**3 + o*g + b and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 13 = -0*d + d, f - 3 = -d. Let z be (f - 25)*(0 - (0 + 2)). Let y = z - 13. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5931971, -5931965, -5931959?\n\"Answer: 6*g - 5931977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 5*d**3\/3 + 50*d**2 + 500*d + 27. Determine y so that j(y) = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4890649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -5*m, 5*m + 9 = -3*o - 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {g: 4, e: 3, t: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/7 + 846\/7*g**2 + 958\/7*g.\nAnswer: 2*(9*g + 10)*(47*g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 (base 9) in base 11?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 3*p - 3. Let q be h(2). Suppose 2*s = -1 + q. Suppose s*j = 2*j + 133. What are the prime factors of j?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 699 divide 1998441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 35, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - 2*w + 2*w)*(-2 + 2 - 2)*((0 - 3 + 1)*(1 - 1 - 2*w) + 6*w + 3 - 3).\nAnswer: -40*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 9 - 5\/(15\/4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106*u**3 - 188*u.\nAnswer: 636*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 2*s - 16, -10*u + 5*s = -6*u + 22 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -22. Suppose y*d = -d + 34. Solve 4*q - 14 = -d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*z - 57*z - 100. Suppose 4*g = -g - 15. Sort z, g, 11 in ascending order.\nAnswer: g, z, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -3*a - 53 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1749 + -1749.2. What is the second smallest value in -0.025, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -52, -93, -134, -175, -216, -257?\n\"Answer: -41*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 10:56 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a week in minutes?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 2:30 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61 take away 0.064?\nAnswer: 0.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-262)\/1965 - ((523 - 7) + -8)\/(1 + 14).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 18*m - 249. Let a be s(13). Let v be (-6)\/(11 - 5) - 3\/a. What is the closest to -2\/7 in v, -2\/3, 0.5, 2\/13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**3 + l**2 - l - 1. Let r be y(-1). Suppose -r*c + 247 = 2*p - 5*c, 5*p = 2*c + 620. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 496.295 to the nearest 10.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28\/89 in 10, -0.2, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*z + 47. Let t = 6.12 + -0.12. Let v = t + -8. Put z, v, 0 in decreasing order.\nAnswer: 0, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (5 - (-10 + -46)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -423, -868, -1311, -1752?\nAnswer: -2191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 3*v + 3*y, 5*v + 71 = -3*y - 13. Let c = 18 + v. Suppose c = -t + 5*w + 5, -t = -4*t - 3*w + 51. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 5*v**2 + v - 4. Suppose 12*g + 15 - 75 = 0. Determine f(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.6 + -0.6. Let n be (-1)\/(-3)*(0 + -1). Sort u, 3\/4, n in descending order.\nAnswer: u, 3\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/26 + (1134\/(-234) - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 3531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfoz when four letters picked without replacement from ofzzf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7644\/43 - 338397\/1720. Let s = 53\/5 + k. Let c = 56717\/7432 - 6\/929. Calculate the common denominator of c and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/7969752 and -137\/94878.\nAnswer: 7969752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/5 of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27770*9.\nAnswer: -249930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5\/4 - 81243*c**4\/8 + 3699685*c**3\/8 - 41155533*c**2\/8 - 21512843*c\/8 = 0.\nAnswer: -40667, -1\/2, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*l + 806 - 838 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 - cb1?\nAnswer: -cc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 3\/5, 2\/3, -3, 2\/11, -4\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 10*r**3 - 12*r**3 + 2 - 1 to the form v*r + m*r**3 + i + c*r**2 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 22 - 26. Let f = -105 - -108. Let y(o) = -1 + o**3 - o**3 + 5*o**f. Determine y(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Suppose -2*b + s = -x*s - 16, -2*b - 2*s = 2. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8396545403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 63. Suppose 9*m - 69 - f = 0. What are the prime factors of ((-110)\/m)\/((-4)\/32)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25534245 or -25534257?\nAnswer: -25534245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Let j(c) = c**2 + 0*c**v - 2*c**2 + 3*c. Suppose 2*n = 5*n - 9. Determine j(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.11 - 1.89. Let y = 1684\/9 - 3377\/18. Which is the closest to 1\/4? (a) -5 (b) 0.4 (c) y (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjij. What is prob of sequence ijj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 1211244222?\nAnswer: -1211244232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-80)\/25)\/(6\/15). What is the tens digit of 9\/((-36)\/n) - (-1 + -16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 406 = -n, 2*m - 172 = -4*n - 14. Let q = m - 56. Suppose 3*y = -2*y + 50. What is the greatest common divisor of y and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651*u = 25162 - 7585 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/42 + 2496\/840.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - ((-3 - -4) + -2). Suppose y = -t + 11. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**2\/7 + 1564*v\/7 + 4710\/7 = 0.\nAnswer: -3, 785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.8+-2106705877\nAnswer: -2106705878.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -16*k - 88 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*(((x\/(x\/(x*x**(-2\/5))))\/x*x)\/x)\/x))**(-29)\/(x**(1\/3))**36)**(2\/35) assuming x is positive.\nAnswer: x**(-526\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**2 + 15646023*s - 15646026 = 0. Calculate s.\nAnswer: -5215342, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 639 + 245. What are the prime factors of z?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2338179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -x + 61, 5*x - 305 = s + 2*s. Suppose l = -4*r - 0*l - x, 0 = 4*r - l + 67. Let m = 24 + r. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2406.3 - -2406. What is the nearest to -97 in j, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/4 (b) 0.2 (c) 4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -732331 + -7?\nAnswer: -732338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(1008)\/sqrt(9)))**2 + sqrt(14)\/((sqrt(126)\/sqrt(2))\/sqrt(9)).\nAnswer: 1\/8 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 12*d - 41. Determine n(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -583, 0.5, 0.1, 12 in ascending order.\nAnswer: -583, -3, 0.1, 0.5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 175 and 349\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 461 + -258. Let k = p - 125. What is the least common multiple of 12 and k?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6691720?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1130*m + 9615 + 26623 = -12352 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7721 - -7716. Let a = 38 + -151\/4. Put x, 0, a in descending order.\nAnswer: a, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpmm when four letters picked without replacement from qqqpmpqmqmqqp.\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 75481210201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j = 18*j - 90. Solve 20 = 2*n - 4*c, 3*n + 10 = -j*c - 2*c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1 + -3.099152. Round h to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 247 - 130. What is the remainder when t is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 3*l + 4, -7*i - l - 4 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 2*v**3\/3 - 58*v**2 - 136*v + 6. Differentiate w(g) wrt g.\nAnswer: 4*g - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*(sqrt(11)*-1 + -1 + 1 + sqrt(1331) + sqrt(1331)))**2.\nAnswer: 698544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2399, -9559, -21481, -38159, -59587?\nAnswer: -85759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.00703*-18.6.\nAnswer: 111.730758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d + 56. Let f be m(-6). Solve 2*g - f = 0, -4*b - g - 20 + 4 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*l + 98*l - 8*p + 16, 2*p = 3*l - 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n, 5*y - 5*n - 132 = 598. Suppose 11*v - 118 - y = 0. Suppose 0*r = 3*r - 48. What is the greatest common factor of v and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682541 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 7*u**2 + 7*u - 1. Let m be r(6). Suppose p - 2*z = -1, -5*p + m*z + 1 + 9 = 0. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.4, -2, 7, -3, -956?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-297)\/11 - 9)*212\/(-6).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -324294 * -4.17.\nAnswer: 1352305.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15f96 + -2ed?\nAnswer: 15ca9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.072 and -3015.68326?\nAnswer: 3015.61126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -311727 divided by -7993?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.1 + 15. Let z = k + 0.6. What is the second smallest value in 0.3, z, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 + 0.2. Let v = 19 - 18.7. Which is the nearest to i? (a) v (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 10. Calculate the smallest common multiple of n and -3 - (-2 - 13) - -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -13. Let f be y*((-132)\/9)\/(-2). Let l = f + -12. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 2:32 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 685*x - 4133. Calculate i(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, u: 1, n: 7, g: 3, m: 2}. What is prob of picking 2 m and 2 g?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkgg when four letters picked without replacement from {g: 11, s: 1, k: 3}.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 11*w**2 + 6. Let o(p) = -10*p**2 - 5. Let a(y) = -2*y + 9. Let m be a(6). Let z = 10617 + -10621. What is m*n(h) + z*o(h)?\nAnswer: 7*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 364469907 and -17.\nAnswer: 364469890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 13) in base 12?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 596592 to the power of 1\/2, to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.06, -1\/26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/(-5)*(4 - 160\/15). Let u = 36 - r. Suppose 18*q**5 + 36*q**3 + 42*q**u + 26\/9*q + 44\/3*q**2 + 2\/9 = 0. What is q?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83.36 + -83. Let y = t - -4.64. Which is the second biggest value? (a) 3\/8 (b) 8 (c) y (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -372 and 72814?\nAnswer: 73186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/2)\/h)\/h*h)\/h**(-5))\/(((h*h**6)\/h)\/((h*h*h**(-6)\/h)\/h)) assuming h is positive.\nAnswer: h**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 24, -3, 3 in decreasing order.\nAnswer: 24, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37.2 - 7.2. Let u = 15 - p. Let z = -13 - u. Which is the second biggest value? (a) -3 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v + 29. Let p be s(-4). Solve -p*y - 3 + 5 = c, c - 2 = -y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4301 - -25521?\nAnswer: 21220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.0235 times 1.78127\nAnswer: 0.041859845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6 = 3*g - 3, -l - 7 = -2*g. Let z(c) = -c + 13. Let u be z(11). Solve u*s - 6 = 3*o, 27 = 2*s - 7*s - l*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8596 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0967, -4, -0.04, -1.6, 5 in descending order.\nAnswer: 5, -0.04, -0.0967, -1.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 - 8*b**2. Let u(x) = -2*x**3 - 7*x**2. Let v(y) = 5*y - 65. Let k = 83 - 71. Let t be v(k). Determine t*u(a) + 4*z(a).\nAnswer: -2*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/14 - (7\/(-2))\/1. Let x(q) = -5*q**2 - 5. Let g(b) = 5*b**2 + 4. Let d(v) = j*x(v) + 5*g(v). Let u(n) = -12*n. What is d(u(w))?\nAnswer: 720*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 79*n - 801. What is the remainder when 142 is divided by f(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/245*9 - (287\/(-49) + 5)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 + -20. Let m = v - 54. Suppose -127 - m = -5*k. Calculate the remainder when k is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/(128\/(-160))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t + 5*t**2 - 2 - 4*t**2 - 1. Let x be y(4). Calculate the remainder when 34\/8*4*x is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2)*-1 + (sqrt(72)\/sqrt(4))**2.\nAnswer: -sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 226645.\nAnswer: -9\/226645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*l + 9, 0*b = -4*l + b + 32. Suppose l = j + 1. Let m be (72\/(-20))\/(j\/(-15)). Solve 2*s + m = -5*z, 2*s = -3*z + 1 - 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 1, f: 2, j: 1}. What is prob of sequence ff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkpk when four letters picked without replacement from {p: 2, d: 3, k: 2, a: 8}?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1666, -3287, -4908, -6529, -8150?\nAnswer: -9771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.67 and -1081514.\nAnswer: -1081514.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -5, 1 in descending order.\nAnswer: 1, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1474 - -132827\/90. Calculate the common denominator of 47\/27 and v.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 43, 81, 111, 133, 147?\n\"Answer: -4*j**2 + 50*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 6 = 0, 4*s = 3*q + 2*q + 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1714842 + 0.07558.\nAnswer: 1714842.07558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -12760644 + 16*z - 51*z**2 + 12760644 - 390*z**2 as n + m*z**2 + u*z and give m.\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*g - g. Let d(b) = -4 - b**2 - 4*b**g + 2 + b**3 + 6*b. Suppose 5*s + 6 - 26 = 0. Determine d(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-11 + (15 - (-3 + 9)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-5) + 1 + -1. Put -4, d, -3 in ascending order.\nAnswer: -4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/10 - 6\/15. Let m(i) = 4*i + 1 - x*i + 4*i. Is m(3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.18? (a) 4\/5 (b) -1\/2 (c) 3 (d) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**2*u + 89098*o**2 - 42660*o*u wrt u?\nAnswer: o**2 - 42660*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/((-2)\/(-12) + (-528)\/3114) is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 times -0.069?\nAnswer: 0.1173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 8*q - 2. Let g(k) = 8*k**2 - 2*k + 1. Let p be g(1). Let x be s(p). Suppose -l + 5*l + 20 = 0, 50 = 5*w - x*l. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2991, -2984, -2973, -2958?\nAnswer: -2939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121710 and 6915.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 5*y + 20 = 0, -112 = -5*q - 4*y - 87 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*b**3*p**4 - 36573*b**3*p**3 - 34*b**3*p**2 + 6*b**2*p + 373*b*p**2 wrt p.\nAnswer: 960*b**3*p - 219438*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 8*d + 7*d + 35*d.\nAnswer: 34*d - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010193068 to seven dps.\nAnswer: -0.0010193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*i + 16, -y - 2*y + 5*i = -45. Let a = -8 + y. Suppose 2*b + 2*b + 3*w = 58, 0 = a*b - w - 34. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45363774 to the nearest 100000.\nAnswer: -45400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 + -0.06. Let j be (-10)\/25*-5 - (-18)\/(-7). Which is the smallest value? (a) 0.5 (b) 5 (c) u (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3 + 8390\/75 - 2\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -573 (base 8) in base 9?\nAnswer: -461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 - 2*u + 232*u**3 + 815*u**4 - 187 - 817*u**4 - 234*u**3 as r*u**3 + i*u + a*u**4 + w*u**2 + l and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + b3801b?\nAnswer: b38016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8341 or 8385?\nAnswer: 8341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136888*y**2 + 25*y - 1417.\nAnswer: 273776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**4 - 4*t**4 + 0*t**4 + (-3*t + 3*t + 2*t**3)*(2 - 2 - 2*t) - 381*t**4 + 195*t**4 - 140*t**2 + 187*t**4.\nAnswer: -4*t**4 - 140*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23331 - -1121120300?\nAnswer: 1121030303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmn when three letters picked without replacement from {n: 2, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u + 19 = 9*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5\/5 - 2*c**4\/5 - 14*c**3\/5 - 8*c**2\/5 + 13*c\/5 + 2 = 0. Calculate c.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.97 + -7.97. Which is the smallest value? (a) l (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*o + 22 = -0*o, -1 = -2*r - o. Suppose -3*q + 0*v - v = -79, -r*v = 5*q - 132. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-8)*8\/(-426). Let r = y + 75\/142. Factor 1\/2*t**3 - 1\/2*t - 1\/2*t**2 + r.\nAnswer: (t - 1)**2*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1139219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110 + -1100111111111001101?\nAnswer: -1100111111110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000927 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -16*n + 23. Suppose 0 = -5*k + 13 + 27. Let j be i(k). Let a = 189 + j. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4232356 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14\/65 + -979\/585. Find the common denominator of 43\/66 and d.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-7 - (0 + (1 - -1))) - (-27 - -2)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 2:09 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 19 = 27. Solve 0 = -d + c - o, c - 1 = 4*d - 0*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(2448)*2 + sqrt(2448) + 1 + 1 + sqrt(2448) - (sqrt(2448) + -3 + sqrt(2448) + 2 + -4)).\nAnswer: 8 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 8)*(4 + 6 + 9)*(5*f**2 - f**2 + 2*f**2).\nAnswer: 570*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 2d4b75?\nAnswer: 2d4b70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 p when two letters picked without replacement from {d: 5, i: 1, v: 1, p: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/53 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 83 - y**2 - 83. Let h(d) = 43*d. Give h(j(c)).\nAnswer: -43*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 470 + -61. Let g = s - 125. Does 32 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12820219949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 6*y + 8*y + 6*y.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 + 4306618*r\/7 + 4306620\/7.\nAnswer: -2*(r - 2153310)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 188977 - 119009. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 101 + 309. Let x = h - 37. Let a(u) = u**2 + 8*u + 9. What is the remainder when x is divided by a(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 242 or -2?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 68220.39 litres in millilitres?\nAnswer: 68220390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - l - 50 + 9*l**2 + 26 + 6*l**2 to the form g*l + n + f*l**2 and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 847? (a) -1 (b) 0 (c) 4371 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 1060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 - -50.5. Let d = 14 + y. Let x = 0.1 - 0.2. Which is the second smallest value? (a) -0.3 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18120 or 18119?\nAnswer: 18120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 13 = k - 3*k, 0 = 4*k + 2*g - 14. Let i be (1116\/(-160))\/(-9) + (-2)\/k. Which is the nearest to 1\/2? (a) -0.2 (b) i (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1232568 rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 10:32 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqnqqqqjjnqnjqjqnn. What is prob of picking 1 j and 1 q?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3*(-11 + (-190)\/(-20)). What are the prime factors of (-5708)\/(-12) + (3\/9 - n)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 - -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 9*j**2 - j + 2. Let p be f(-9). Let h = -8 + p. Solve -h*m = -6*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -906747*v**4 - 1142824*v**2 - 3?\nAnswer: -21761928*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 7) to base 3.\nAnswer: -10021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-18))\/(2\/3). Let n = -8328\/17 - -490. Is b greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 243 = -k + 4*k, -4*k + 324 = 5*l. Suppose -2*c + w = -148, c + 3*w - k = -0*c. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.055072 and -162.\nAnswer: -161.944928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 6*f**2 - 2*f + 11. Let a(p) = -5*p**3 + 31*p**2 - 11*p + 56. Give 2*a(j) - 11*u(j).\nAnswer: j**3 - 4*j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -0*x - 704. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9108 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102151 is divided by 1792.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 - 27*y + 19. Let k be d(-14). Suppose 0 = -r + 4*u + 110, 0*r = -2*r - k*u + 155. Calculate the remainder when r is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/749)\/(((-1656)\/(-161))\/(-24))?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 66*j - 106. Determine q(-2).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 3*h**5\/10 + 15*h**4\/2 + 59*h**3 + 135*h**2 + 243*h\/2 - 27. Factor a(g).\nAnswer: 3*(g + 1)**2*(g + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*i = 272*i - 66592069. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 10, m: 4, d: 2}. What is prob of picking 1 m and 2 l?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-3 + 3 - -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34322938*f**3*k - 24489*f**3 + 728*f**2 with respect to k.\nAnswer: 34322938*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -24.13 - 7911852.5629\nAnswer: -7911876.6929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -204 (b) -1\/14 (c) 0.2 (d) 589\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 less than 0.4?\nAnswer: -449.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1353067, 1353065, 1353063, 1353061?\nAnswer: 1353059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 2*i - 3*i)*(134*i - 464*i - 246*i)*(1 + 7 + 1)*(2*i**3 + 0*i**2 + 0*i**2).\nAnswer: -10368*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 55bc9da?\nAnswer: 55bc9d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21168 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q = -34*q - 25 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, e: 1, k: 6, g: 1, z: 2}. Give prob of sequence xxe.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2212.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2327812526.\nAnswer: 2, 13, 89531251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -13. Suppose 3*t - 5*l - 66 = 0, 0 = 3*t - 2*l + c - 79. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*z + 816*z = -1318*z + 138442 + 36863 for z.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 a, 1 h, and 1 o when four letters picked without replacement from {r: 1, h: 2, o: 2, a: 2, i: 1, m: 1}?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-29)\/(-10) - 3)*-8. What is the nearest to 0 in -1, a, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.73 + -1.13. Let m = -0.06 - -2.56. Let f = 2 - m. Put f, o, -2\/13 in increasing order.\nAnswer: f, o, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 322*p + 12. Let w(k) = 129*k + 5. Determine 5*a(q) - 12*w(q).\nAnswer: 62*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 9:31 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 672 and 1920912.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 7 = -2*a + 25, 5*v + 5 = 5*a. Suppose 265 = a*s - s. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196401637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6508491017102 - -6508490228515.9199898. Let n = -788586 - c. Let o = -0.08 + n. What is o rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2095977 is divided by 22537?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(119)\/(sqrt(21)\/sqrt(3)).\nAnswer: 4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 9 = -g + 6*g, 5*i = -4*g + 22. Let d(y) = 2*y + y**i - y + 0*y**2 + 5*y**3. Suppose 370*c - 349*c + 12 = -9. Give d(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 7*h - 1. Let x = -15 - -1. Let z(p) = -p - 9. Let o be z(x). Suppose -o*y = 2*y + 42. Give s(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -3\/4 (b) 1\/5 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1961*g - 2 + 1983*g + 3.\nAnswer: 22*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 3)*(0*w**2 - 2*w**2 + 0*w**2)*(9 + 7 - 7)*(-4 + 2*w - 2 + 5) to p*w**2 + k*w**3 + u + c*w and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 27349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -477 divided by 159?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r - 3 - 1 - 1. Let o(w) = 2*w - 6. Let a = -216 - -210. What is a*f(n) + 5*o(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41529*k + 52689?\nAnswer: 41529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d - 5. Let b be r(-5). Let g = -300.1 + 230.7. Let z = 67.4 + g. Which is smaller: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -94913 and -0.22?\nAnswer: 94912.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1463676?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 6*j - 4*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (84\/112)\/(((-25)\/10860)\/(-5)) is divided by 69?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 4. Let q = o - 0. Suppose 5*n - l = 38, 4*n + 5*l - 15 - 27 = q. Calculate the least common multiple of 6 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 11*t = -6. Suppose -3*a + 4*s + 22 = 0, -3*s = t*a - 10 - 16. List the prime factors of a\/15*(11 - 2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/(17\/(-102)). Let s = -36.7 + 37. Which is the third biggest value? (a) 2\/9 (b) n (c) 2 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22011330 + -110?\nAnswer: -22012100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -7. Let w(p) = -5 - 8 + 11 - 3*p + 7. Let b(o) be the second derivative of -3*o**3\/2 + 7*o**2 - o. Determine s*b(q) - 11*w(q).\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o + 10. Let p be u(7). Let f be p\/(-14) - (-8)\/(-28). Is 0 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 5.26.\nAnswer: 2.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31200833?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**7\/945 - d**6\/135 + d**5\/54 - d**4\/54 - d**2. Let r(p) = 0. Calculate p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, q: 11}. Give prob of picking 2 q and 1 b.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 10 - 4 = -2*v, 5*y - 19 = 3*v. Let g = -0.88 - -0.08. Let k = g + 1.1. Which is the nearest to 0? (a) v (b) k (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, g: 3, t: 2}. What is prob of sequence rtg?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7630 and 91020.\nAnswer: 69448260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 121969318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4848 or -24241\/5?\nAnswer: -24241\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 92, -2\/13, -3, 20.7, 4\/11?\nAnswer: 20.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -13*o**2 - 9*o + 16. Let l(k) = -3*k**2 - 2*k + 4. Let c = -2 - 7. Let m(z) = c*l(z) + 2*v(z). Differentiate m(a) wrt a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.8, -1112, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 16*o**2. Suppose 18 = 6*t + 6. Suppose -5*f + 186 = -2*h, t*f - 3*f + 24 = 4*h. Let w(y) = -f + 3*y + 36. Give r(w(q)).\nAnswer: 144*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 + 16*y - 4. What are the prime factors of r(7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 9:52 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1329.73002 microseconds to days.\nAnswer: 0.00000001539039375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - g - 11 = 0, g = -392*i + 394*i + 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 5*w - 10 = 0, 4*r - 8*w - 30 = -3*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*w + 810, -3*w - 3*m = -2*w + 196. Let p = 12 - w. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (705 - 690) + -3 + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 32 = -24. Let i(u) = -u**2 + 8*u - 6. What is the least common multiple of g and i(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*o**2 + 70*o**3 + 146*o**2.\nAnswer: 70*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 12 = -4*p - 7, -3*p - 63 = -2*z. Calculate the highest common factor of z and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 9:23 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c + 0*c - 3*c - 23*c - 37.\nAnswer: -18*c - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-752)\/(-2068)*1\/46. Is 1.9 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h + 10 = -2*u, 5*h - 25 = 0. Suppose -5*p - 5*g = u, 4*p = g + 4 + 1. Solve 0 = 4*o + 2*c + 2*c - 4, 2*o + c + p = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (3 + (-1 - (15 - 5))) - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*15\/115?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 129*n + 128*n + 137*n - 5 - 375*n. Determine j(3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 3 - j**4 - j**4 - 2*j**3 + 3*j**3 + 4*j**4 to l*j + v + i*j**2 + w*j**4 + h*j**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rttttrddmtmmrjt. Give prob of picking 1 t and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dll when three letters picked without replacement from lddl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -8. Let x = 4 - w. Suppose x = j - 5*j + 220. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - 15*v + 15. Let k be a(-7). Suppose -19*x - 9 = -k*x. Solve -x*g = -8*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*y**2 + 7*y**2 - 3*y**2.\nAnswer: 70*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*v + 24*v + 6*v**2 + (-2*v**2 - 3*v**2 + 3*v**2)*(0 + 1 + 0))*(0*v**2 + 5*v**2 - 4*v**2).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/8 + -7 + 504\/64\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 20. List the prime factors of 1*8\/((-24)\/s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26177402 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g = 284. Let j = -787\/11 + g. Is j at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f\/((f*f**(-1))\/f))\/f*f**(-1\/4))\/(f*f*((f*f\/(f\/f**(-5)))\/f)\/f*f*f\/(f*f**7*f*f)))**(-5) assuming f is positive.\nAnswer: f**(-295\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1196, 612, -980, -4084, -9204, -16844?\nAnswer: -27508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 42.4.\nAnswer: -16.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*28\/6 + ((-328)\/123)\/((-40)\/(-45))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3535 - 7456?\nAnswer: -3721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 1312 + 9632. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from nsnjgssjgs?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25 + 2\/(-6)*27. Let l = 3 + -7. Let f be (-31)\/l - 1\/(-4). Solve 4*s = f*s + d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/3)*c)**(18\/13))**(-7\/9)*c**3\/(c**(-2\/11)*c*c)*(c\/(c\/c**2*c*c)*c)\/c**(-3\/7) assuming c is positive.\nAnswer: c**(-785\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13755720 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17181056696 and -39.7?\nAnswer: 17181056656.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.045 + -0.955. Which is the nearest to -1\/4? (a) -0.5 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 19. Let w be (0 + -1 - l)\/(-1). Suppose x - 53 = -r, -3*r + 0*x - x + 163 = w. List the prime factors of r.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11568*y - 44*y**2 + 8*y**2 + 5804*y + 5769*y.\nAnswer: -36*y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*o**3)*(52*o + 18*o - 112*o) + (-o**2 + 3*o**2 - 3*o**2)*(o**2 - 3*o**2 + 3*o**2) - 2*o**4 - 2*o + 2*o.\nAnswer: 81*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-33)\/h)\/h**26)**(-1\/15) assuming h is positive.\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a litre in millilitres?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 442274176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a**2 + 3*a + 3. Determine y(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.2 minus -52077761245?\nAnswer: 52077761206.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12, 9\/16, 5, -0.2, 0.4?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiimmjiibmjmii. What is prob of picking 1 i and 2 m?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 560668056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (19\/(-19))\/(9\/12 - 1). Suppose 4*z + o*b = -20, 25 = -z - 4*b - b. Let c = 0 - -2. Solve -c*s + 3 = -t - 1, -2*t - 4*s - 8 = z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20d (base 15) to base 16.\nAnswer: 1cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*t - 128. Suppose -7*q + 371 = 126. Let z = t + q. Solve -z + 0 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 4*x - 1. Let t be m(4). Calculate the least common multiple of 18 and (2\/6 + t)*-3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(567) + (sqrt(7)*2 + 3 - sqrt(7)) - (-2*sqrt(112))**2) + 4 + 1 + 5.\nAnswer: -431 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 - 147*y**2 - 14*y - 2703. Determine d(74).\nAnswer: 1737","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/11, 0.552, -6?\nAnswer: 0.552","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4018, 14321, 31492, 55531?\nAnswer: 86438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 995*h**2 + 2452*h - 2439729. Determine l(995).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-210)\/(-9))\/((-2)\/(-6)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -3 - -9)*((-120)\/(-1560))\/((-2)\/(-78)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11491 - 6227. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13996480 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 3:43 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 28167316*s - 14083671*s - 14083658*s.\nAnswer: 2*s**2 - 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1528414 and 212.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 divided by 153?\nAnswer: 218\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/4 and 58\/1791.\nAnswer: 7164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 739682148416 and -41.\nAnswer: 739682148375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a + 1563 = 1497. Solve -2*g - a*u = -4, -12*g = -9*g + u - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4860.5 + 0.7?\nAnswer: 4861.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-54))\/1 - (-658308)\/(-1377). Which is smaller: x or -479?\nAnswer: -479","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqz. What is prob of sequence zq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 2599?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22647041 is divided by 664?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 172*i**2 - 241*i**4 + 164*i**2 - 2 - i - 336*i**2 wrt i.\nAnswer: -2892*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/4900 and 73\/7700.\nAnswer: 53900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/18 + 43\/(-9). Let i be (2*1)\/(f\/(-120)). Let t be (-12040)\/(-490) - 4\/7. Calculate the greatest common factor of i and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1067*c - 246642. Give o(-231).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -62113 + 4?\nAnswer: -6210a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3273088 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4\/3 - 560*j**3\/3 - 19910*j**2\/3 - 78960*j - 298215.\nAnswer: -5*(j + 9)**2*(j + 47)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 181 = -211. Let o(v) = -5*v - 25. Let y be o(-17). Let n = g - y. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7a38 (base 13) to base 5\nAnswer: 1021431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-2)*(-12)\/9. Sort -3, p, -1, -15 in ascending order.\nAnswer: -15, -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j - 2*f = 6299, -j - 4*f = -1251. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/8 and -1\/542?\nAnswer: 2168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002548 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 - 9*w**3 - 3 + 6*w**3 + 18*w**2 - 6*w**2 + 7*w**3 to the form o*w**2 + f*w + q*w**3 + s and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64291969841812627.89999967 - 64291970253584911. Let f = 411772286 + k. Let i = 2.9 - f. What is i rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 30 = -36. Let b(f) be the first derivative of 1\/5*f**q - 1\/2*f**4 + 6\/25*f**5 + 2\/15*f**3 + 0*f + 4. Factor b(k).\nAnswer: 2*k*(k - 1)**2*(3*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-8 - -9) - (-2 + -22)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -36*l - 2. Suppose 0 = m - 2*m - 2. Let w be t(m). Is (-2)\/(5\/(w\/(-4))) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-2 - -1) + -2 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.19 - -0.19. Let u = x + 15.1. What is the nearest to 2\/5 in -0.5, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 - 24 = -5*y - t, -2*t - 30 = -y. Suppose -y*k = -39*k + 17. Solve -3*b = -k + 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/((-1485)\/(-506)) + 10.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 1480*b + 227255. Calculate v(-174).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -8\/3 (c) 2.59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(sqrt(72) + -1).\nAnswer: -6*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z - 4*m - 1327, -2*m + 459 = z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 - 16 + 73 + 33 + 12 + 28 in the form l + q*n**2 + m*n and give l.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.39 times 9.623?\nAnswer: 205.83597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 438295005 by 3.\nAnswer: 146098335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2293*h - 12865 - 619 = 257 + 17 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.82441791 and 95.688?\nAnswer: 103.51241791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -34. Let m = -5 + n. What is the closest to 2 in m, 14, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 285 = -2*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*n - 5*q + 128 - 81 = -80, 0 = -3*n + 4*n + 5*q - 22 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*l + 10473 + 572 + 872 = -1083 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -5, -2, -1, 3 in descending order.\nAnswer: 3, -1, -2, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2 - 82*m - 460 = 0. Calculate m.\nAnswer: -5, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 14*i - 1. Let q(c) = -7*c + 1. Determine -5*q(x) - 3*v(x).\nAnswer: -7*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660*v + 2026*v = 39614 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134304 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.389 - 1.9762163.\nAnswer: -1.5872163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + v**2 - 2*v - 1 - 3*v)*(-53*v**2 + 53*v**2 + 34*v**3) + (3 - 3 + v**4)*(2*v - 2*v + 2*v).\nAnswer: 36*v**5 - 272*v**4 - 34*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -44*q**2 + 9*q - 17. Let y(m) = 11*m**2 - 2*m + 4. Let w be (-18)\/(-7) - 7\/((-490)\/(-40)). Give w*x(p) + 9*y(p).\nAnswer: 11*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6*i = 4*a - 57, 2*a = -i + 19. Suppose -i*x - 551 = -8056. Does 79 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -15*m**2 - 2*m. Let s(p) = -2*p - 104. Determine s(a(l)).\nAnswer: 30*l**2 + 4*l - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - (-61 - (-31 + -21)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence majm when four letters picked without replacement from {a: 1, j: 5, m: 2, t: 1}.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*n - 14. Suppose 0*d - n = -d. Let z be (-10)\/45*6\/d. Which is the second biggest value? (a) z (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 18 - 6. Let v be 654\/(-15)*(-5)\/2. Find the second derivative of -s - v*s**n + 109*s**3 + 3*s**4 wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33 - (-5 + (-5 - -13)*1). Let x(f) = 2*f**3 - 61*f**2 + 43*f - 20. What is the hundreds digit of x(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 612 and 1710.\nAnswer: 58140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113970079?\nAnswer: 113970079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**2. Let x(h) = 5*h**2 + h + 1. Let y(u) = u**2 + u + 1. Let b(a) = x(a) - y(a). Determine j(b(v)).\nAnswer: 96*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8 + 3*l**2 + 4 - 2 - 3 + 8*l. Let g be k(5). Suppose -5*h + 164 = -g. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 take away 11087937771.7?\nAnswer: -11087937771.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57512, -57544, -57566, -57572, -57556, -57512?\nAnswer: -57434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 2*t - 10, -4*n + 0*t = 4*t + 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 8:38 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from ttetttpetept.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-24) - (0 - 1\/6). Which is the closest to -0.1? (a) l (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 2. Let u be o(-4). Suppose 0 = 81*y + 6835 - 9724 - 8046. Suppose 133*s = y*s - u. Solve 3*a - 2*r = -s, -3*a + 2*a = r + 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-18)\/(-8)*81\/((-729)\/(-18)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 3)*(-1 + 4 + 3)*(4 + 1 - 3)*(2 - 2 + 1)*(3*b + 0 + 0) in the form q + o*b and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80 - 111 - 48)*(25674 - 307*z**3 - 25674).\nAnswer: 24253*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 15) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -578188.\nAnswer: -578189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7205000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*x - x**2 + 134*x + 17*x**2 - 5*x**2 - 5*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - s + 2. Let l(i) = -5*i**2 + 7*i - 10. Calculate l(g) + 5*t(g).\nAnswer: -10*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) 5 (c) -288\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, 679, 1020, 1363?\nAnswer: 1708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/40171 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**3 - 3*n - 1. Suppose -281 = -13*k - 203. Let d(t) = 36*t**3 - 17*t - 6. What is k*d(s) - 34*v(s)?\nAnswer: 12*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -828, -839, -864, -909, -980, -1083, -1224?\nAnswer: -1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-5*(2*sqrt(9) + sqrt(9)))\/sqrt(3))**2 + 4 - ((-1 + (sqrt(144)\/sqrt(4))\/sqrt(3))**2 + 5).\nAnswer: 4*sqrt(3) + 665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 186780043361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + d. Suppose -3*o - 2*x = 0, -3*x = -5*o - d*x. Round o to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 11*j**3 + 2*j**2 + 2*j + 2. Suppose -8*g = 172 - 124. Let r(h) = 540*h**3 + 99*h**2 + 99*h + 99. Determine g*r(u) + 297*d(u).\nAnswer: 27*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.108 in 0.2, 1\/4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -85214, -169306, -253398?\n\"Answer: -84092*z - 1122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91071 is divided by 512.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1008 and 89796?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m + 18 = 5. Let f(b) = 24*b**2 + 5*b + 2. Calculate the remainder when 1509 is divided by f(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {d: 1, x: 2, c: 1, o: 2, u: 1, f: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28, -69, -114, -163, -216?\n\"Answer: -2*o**2 - 35*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -440 + 2?\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264227 is divided by 20324.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 6*m - 7. Suppose 1690*b - 1682*b = 48. Calculate y(b).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21694 - 2925. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*m = 282*m - 1320. What is the greatest common factor of m and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 12. Let j be 2\/(1 + m\/3). Suppose j*c - 2*c = 32. What is the remainder when 63 is divided by c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*k + 3*k - 7 = 0, 2*h = -3*k + 23. Let x(m) = 30*m**2 + 7*m - 35. What are the prime factors of x(h)?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15b + -142?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -18*i + 5. Let x(p) = 36*p - 10. Calculate -5*a(o) - 2*x(o).\nAnswer: 18*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137 by 63.\nAnswer: 137\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*s + 5*s - 8, -4 = -4*t. Let d = -4 - -7. Suppose -3*m = -s*z - 0*m + 14, 0 = -d*z + 2*m + 21. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cccvvvvcc?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 9*v**2 + 12*v + 6. Determine y(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24.1973 and 1902?\nAnswer: 1926.1973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -213798 and -0.8?\nAnswer: 171038.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 t when three letters picked without replacement from zzttttttttttzttt.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 17 + 8. Let w be (3\/(-3) + 1)*10\/(-10). Solve 4*q - l*f - 11 + 0 = w, -22 = -5*q - 2*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -120*x - 61. Let c(j) = 360*j + 183. Let w(v) = 4*c(v) + 11*f(v). Is w(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3945111?\nAnswer: 3, 1315037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.76 - 0.76. Let n = 66 - 70. Put n, v, 1, 5 in decreasing order.\nAnswer: 5, 1, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(500)*-2*-1 - sqrt(500)) + sqrt(500))*1 - (5 + sqrt(500)*-2 + -5)) + -5)**2.\nAnswer: -400*sqrt(5) + 8025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(1152) + (sqrt(1152)*-3 - sqrt(1152))))\/((sqrt(9) + sqrt(36)\/sqrt(4))*4 - sqrt(81)*3))**2.\nAnswer: 18432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/2 of a millennium?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v**3 - 17. Let o(k) = 2 + 17*k**3 - 16*k**3 + 1. What is 34*o(i) + 6*s(i)?\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60774.\nAnswer: 2, 3, 7, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, 0.3, 0, -3\/2 in decreasing order.\nAnswer: 0.3, 0.2, 0, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yssssossssosxssxsxx. Give prob of picking 1 s and 1 o.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 18*u = -u - 12*u. Let -1\/3*b**2 - 1\/3*b + u = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*k - 0*u + 3*u, 2*u + 19 = 3*k. Suppose -k*q + 3*c + c = -90, -4*c - 18 = -q. Find the common denominator of 4\/q + 868\/(-72) and 77\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725256 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from gooxgy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10448 is divided by 744?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 2*r - 40, -3*p + r = -4*r - 60. Suppose 0 = 13*v + 509 + 102. Let h = -47 - v. Solve -4*f = p, h*u + 3*f = -3*u - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2384 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6252 = 5*c - 9*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3651*h**2 + 20*h**3 - 7299*h**2 + 3648*h**2.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4578634 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -13 + (-7 - -2) - (-16 + 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 86437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -380353, -760720, -1141097, -1521484, -1901881, -2282288, -2662705?\nAnswer: -3043132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25932 by 1989.\nAnswer: -8644\/663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-1 + 16)\/45. Factor -g*u**2 + 2\/5*u**3 - 26\/5*u - 14\/5.\nAnswer: 2*(u - 7)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaaaaamamamma. Give prob of picking 2 a and 1 m.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 1 + 105 = 0. Solve 0*x + b = -3*x - 4*n, 0 = 5*x + 3*n + 25 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 + 72. Let h be (-4)\/((-20)\/15 + f - -1). Solve 4*g = 4*s - h, -2*g - s - 3 = -0*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -101 (b) -2\/15 (c) 0.5 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -19 - 2*v + 19. Let l(s) = -s - 2*s + 4*s. Give l(x(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 7 = 2*n + a, -3*a - 13 = -2*n. Suppose 2*z = 5*g - 2, -3*z + n*g + 7 = -12. What is the units digit of (-3)\/z - (-20)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 4, -35, 13383, -5 in decreasing order.\nAnswer: 13383, 8, 4, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 6*j - 22. Is 184784\/(-40)*(-20)\/j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 22*l**2 - 1073*l - 241. What is z(49)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, -3, 75490 in ascending order.\nAnswer: -7, -4, -3, 75490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/14*16\/(-6).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m + 21. Let s(r) = 8*r + 42. Let h(c) = 5*q(c) - 2*s(c). Let k be h(-3). Find the second derivative of k*o - 37*o**2 - 4*o + 6*o wrt o.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmkkkkkmmmkkktukk. Give prob of sequence mum.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + 105. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -15. Calculate the lowest common multiple of 27 and k.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 38271 and 38271 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14 + 14 - -1*7. Let l = 0.59 - -0.01. Let i = 1 - l. What is the biggest value in n, 0.1, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {o: 2, k: 8, y: 1, m: 5, p: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 12 - 40. Let w be (3\/(-3) - 0)*b. Let j(c) = -c**3 - 7*c**2 - 2*c. What is the tens digit of j(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/48654 and 107\/14?\nAnswer: 340578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/114 + (-178233)\/(-57) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -292*l + 4374. What is n(15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 2*h - 6*h - h**2 + 8*h - 14976.\nAnswer: -h**2 + 5*h - 14976","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40002\/137 - -292. Let n = 1 - 0. Which is bigger: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9942283\/287 + 34642. Is z >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 477 - 470. Let x(m) = 6*m + 9. Let t(y) = -3*y - 5. Calculate d*t(q) + 4*x(q).\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 642503?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1642)\/(-9031) + (-2)\/(-110). Let f = 10900\/13 - 838. What is the closest to a in 3\/2, f, 2, 1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 260847 * 0.3.\nAnswer: 78254.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 12*l + 135. Let x be (-8 - -4 - -5)*-2. Let p = x - -16. Calculate the remainder when p is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uul. What is prob of sequence ull?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 147 = -273. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 5:13 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*i**4*k + 4*i**3*s**2 - 2*i**2*k*s - 4*i*s**2 - 18*k*s wrt i?\nAnswer: 216*i*k + 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -2 - (0 - 1). Suppose 23 = 4*i - 3*l, -4*i - 4*l + 3*l = -u. Factor -5*h**2 - 4*h**3 - 2*h**3 + 6*h**i + 7*h**3.\nAnswer: h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -749262 divided by -6\nAnswer: 124877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.4 + -9. Let v = m - -3.455. What is v rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 13*n - 1. Let j(x) = -1031*x**2. Determine j(v(k)).\nAnswer: -174239*k**2 + 26806*k - 1031","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 4, 11, -5 in descending order.\nAnswer: 11, 4, -5, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.17538?\nAnswer: -0.8769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 4*n**2 + 5*n - 6. Let a be x(3). Solve t - 3*z - 7 = a, -3*t + 3*z = -7*t + 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*a + 11, 3*a = b - 0 + 22. Let k(v) = -v**3 - 8*v**2 - 10*v + 1. Let p be k(b). Suppose h - 3*h = -p. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5 = -3*s - 5*i, -i = -4*s - 4. Let o be (s + -1 - 0) + 0. What is the remainder when 13 is divided by (-21)\/(6\/o) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, -2.9, 0.2?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15916, -32322, -48728?\n\"Answer: -16406*j + 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 8, z: 3, v: 3}. What is prob of sequence ss?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27559444?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(684) - (-2*sqrt(684) + sqrt(684) - sqrt(684))))**2 + 1*-1*sqrt(684) - ((-2*sqrt(684))**2 + 2 + -1)) + -3.\nAnswer: -78*sqrt(19) + 3420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/19)*(u*u\/u**(3\/2)*u)\/u)**(1\/20)\/(((u\/(u\/u**(-1\/4)))\/u)**37)**(-3\/2) assuming u is positive.\nAnswer: u**(-26351\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (0 + -2 - -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*14 - (-2 + 3). Let s = 307 - 283. Let o = s - t. Let k(z) = z**2 + 3*z + 3. What is k(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1306 - 29*s - 1306 as i + c*s and give c.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/6 of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r + 366 = 146 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 3)*(c**2 - c**2 + c**2)*((1 - 1 - 2*c)*(0*c + 3*c - 2*c) + c**2 - 5*c**2 + 3*c**2).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i + 18. Calculate the remainder when 52 is divided by j(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 7239475*q**2 + 14478957*q - 21718431.\nAnswer: -(q - 7239477)*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t + 612 = 566 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -5*p**2 + 0 + 0*p + 0*p**6 + 2\/105*p**7 - 1\/12*p**5 + 0*p**4 + 0*p**3. Find the third derivative of l(t) wrt t.\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*v - 2203 - 1251 = 466 for v.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 10, -3\/245, 18?\nAnswer: -3\/245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -309*u**4 + 135*u + 2?\nAnswer: -3708*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 - 4*v**2 - v - 1. Let d(x) = -3*x**3 + 12*x**2 - x + 2. Let t(g) = d(g) + 2*o(g). Let q(r) = 6*r**3 - 3*r**2 + 4*r. What is 4*q(k) + 3*t(k)?\nAnswer: 3*k**3 + 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 256 divided by -32\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 861*z. Let a(u) = -u**2 + 10*u - 51*u + 18*u + 23*u. Give a(x(f)).\nAnswer: -741321*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.9485, 14, 3\/5, -1?\nAnswer: -1.9485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p\/(p*p\/p**(4\/13)))*p*p\/p**(-23)*p*p**(-14\/5)*p**(-1\/11)\/p assuming p is positive.\nAnswer: p**(16303\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-40))\/(-78*11\/(-61490))?\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 963313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 984 + -3?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 387 divided by 5\nAnswer: 387\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.060873 to 1 decimal place.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6833 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - 37a01?\nAnswer: -37a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/35 - (-243)\/63. Solve -19 + 13 = z*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 1\/11*b**5 + 16*b + 0 + 18\/11*b**3 - 1\/165*b**6 - 6\/11*b**4 - 27\/11*b**2. Determine f so that m(f) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quqq when four letters picked without replacement from {k: 1, u: 1, q: 1, b: 1, v: 2, a: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18952 and 6592?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 127 + -257\/2. What is the closest to 0 in -5, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 3*a**2 - 6*a - 6. Let u be n(-4). Suppose -5*v = 3*g - 35, u*g = -3*v + g + 17. Let z(j) = 3*j - 5. What is z(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72*m**5 + 6*m - 9 wrt m?\nAnswer: 1440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -15. Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -3. Sort 2, -3, c, -1 in ascending order.\nAnswer: -3, -1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*g**2 + 4*g**4 + 4*g**4 - 4*g**4 + 1631*g**3 - 1607*g**3.\nAnswer: 4*g**2*(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 2.459668655681.\nAnswer: 2.959668655681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 27, 1, -3, 7 in descending order.\nAnswer: 27, 7, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*c - 126*c - 38*c)*(-3 + 0 + 4) + (1 - 2*c - 1)*(2 - 1 + 1) + c + 0 + 0 - 2 + 2 - 4*c to the form u + s*c and give s.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k = -5*q - 201, 2*q + 5*k = -77. Is -1 + 1 + (-18450)\/q a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 25*u - 197. What is r(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/604 and -19724 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4632992 and 20468?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1089.6 * -19\nAnswer: 20702.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*z = -2078 + 656, 4*z = 12. Calculate the greatest common factor of 45 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 8\/(-5) - 91\/(-35). Let k be 2 + (1 - i*(-2)\/2). Solve -d + 10 = 4*x, 5*x - k*d - 23 = -2*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6428418 and 44998926.\nAnswer: 44998926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10072 or 9780?\nAnswer: 10072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, -31, -79, -145, -229, -331?\n\"Answer: -9*j**2 - 3*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5230\/3 + -125545\/72. Find the common denominator of -95\/66 and p.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27, -44, -39, 0, 85, 228?\n\"Answer: 2*s**3 - s**2 - 28*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2 - 4*m + 2 - 6 - 1. Is a(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 25. Calculate m(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -247189902?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 135 - 0\/17. Let g = a - 105. What is the remainder when 83 is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5202597701?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + (((6*(sqrt(171) - (sqrt(171) - (1 + sqrt(171)))) - (4 + 1 + sqrt(171) + sqrt(171))) + -5)**2 - (5 + sqrt(171)*1*-1*-4)).\nAnswer: -108*sqrt(19) + 2747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 7:11 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 - 4*y**2 + 3*y**2 + 2*y**2 + 3*y**2 - 4*y**2 + (3*y - 2*y - 3*y)*(-2*y - y + y) + 4*y**2 + 2*y**2 - 4*y**2 + (-2*y - 4 + 4)*(0*y - 2*y - y).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-61)\/(5124\/112))\/((-8)\/42).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (3 + -10 - -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2371 + -2371.028. What is the closest to f in 1\/3, 5\/6, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -337 - -846. Suppose -4*d = -4*y + 668, 3*d + 2*y = 3*y - i. Let o be d\/(-15) + (-4)\/10. What is the highest common factor of 44 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.14 + 19.54. Sort -198, l, -1 in increasing order.\nAnswer: -198, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-117.\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434246?\nAnswer: 2, 29, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032421233 (base 5) in base 11?\nAnswer: -1295501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 8 = 2*i, 0*q + 5*q + 8 = 2*i. Suppose 0 = z - q*z + 3*t - 18, -2*t + 32 = 2*z. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80 - -92) + (0 - (5 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 386227, 386193, 386159, 386125?\n\"Answer: -34*l + 386261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1241, -1558, -1875, -2192, -2509, -2826?\nAnswer: -3143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.5 - 9.3. Let k = q - 0.2. Which is the fourth biggest value? (a) k (b) -4 (c) -0.1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 21*o**3 - 5*o**2 + 3*o + 7. Let z(i) = -20*i**3 + 4*i**2 - 3*i - 6. What is -6*q(j) - 7*z(j)?\nAnswer: 14*j**3 + 2*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(85)*-2 - -2*(sqrt(85) - -1*sqrt(85)))\/((sqrt(80) - (sqrt(80) - ((sqrt(80) - sqrt(80)*3) + sqrt(80)))*-1) + sqrt(80)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 398 - 5 = 3*v, -2*v = -3*l - 395. Let r(o) = -8*o**2 - 6*o + 6. Let i be r(5). Let c = l - i. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**0*a*a\/(a**5\/a)*a**(-1\/5)*a**(-6) assuming a is positive.\nAnswer: a**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 - 23 - 20*h)*(-31*h**2 - 242*h + 242*h) - 5*h**3 - 6 + h**3 + 4 to the form u + q*h**3 + x*h + a*h**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 1724*b + 22238. Calculate o(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 2117201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84996655.95 - -296.\nAnswer: -84996359.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2\/41)*d))**12 assuming d is positive.\nAnswer: d**(24\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 36390 = 36392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 24360467.\nAnswer: 10\/24360467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 - 16960*w**2\/7 + 16874*w\/7 + 101748.\nAnswer: 2*(w - 8479)*(w - 7)*(w + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one halves of a century?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -4) + (1 - -2). Suppose h*o - 2*o - 28 = 0. Calculate the smallest common multiple of -1*1\/2*(18 + -26) and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3062 + 836 = 0. Let j = k - 706. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*t = -147, -3*q + 2*t + 34 = -123. Let s(l) = 54 - 5*l - l**2 - 2*l - q. Let f(b) = -b**3 + 11*b**2 + 23*b + 32. Let j be f(13). Calculate s(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -173890319 or -173890320?\nAnswer: -173890319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven halves of a century?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 17*n - 207. Give r(25).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6*(-2 + -1). Suppose -p*z - 2*b + b + 163 = 0, 2*z - 2*b = 154. Suppose -4*q = -268 - z. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98210119 to the nearest integer?\nAnswer: 9910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -5, 2\/37, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 700439384 to the power of 1\/3, to the nearest integer?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1188162 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8742 (b) -1 (c) -488 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-15*14\/93170*242\/(-22).\nAnswer: 3\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1723472.\nAnswer: 2, 107717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2479 - 2476. Solve -2*s - 6 = 5*b, -5*b - 9 = -y*b + 3*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, -93, -331, -675, -1131?\nAnswer: -1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*b - 5 = -201*b + 5*d, 6 = -b + 4*d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 226\/14 - -5*(-10)\/350. Suppose 678 = b + j, -4*j = -8*j + p. Is 54 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.01 (b) 3 (c) -2\/9 (d) -34975 (e) -1\/210\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -50 + 44. Suppose -66 = -3*a - b. Let h = 23 - a. Solve 0 = 4*i + z + 11, h = -2*i - 3*z - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 9\/7*m**7 + 0*m**6 + 0*m**5 + 0*m**2 + 0*m**4 - 7\/3*m**3 + 0*m - 7. What is the third derivative of v(l) wrt l?\nAnswer: 1080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9321788?\nAnswer: 2, 7, 332921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1103977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 3:27 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*y + 4. Suppose y*j + 4*s = 52, 14 = 3*j + 5*s - 19. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - -3*(-4 + sqrt(468))) + 4*(-2*sqrt(832) - sqrt(13)))**2.\nAnswer: 1056*sqrt(13) + 25312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g = 2*r + 7*g - 4, -2*r - 8 = g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, j: 2, p: 2, m: 1, u: 1}. Give prob of picking 2 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -58035425 < -58035425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*u = 9*j - 21, -4*j + 18 = -2*u. Sort -6, j, -75 in descending order.\nAnswer: j, -6, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -716512.\nAnswer: -716507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*g + 6, -3*q = -3*g - 0 - 3. Let v be ((-78)\/(-15) + q)*30\/9. Suppose x + v*x = x. Is x at most -3\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-40))\/(10\/(-80)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(1\/4)*d*d))**(-2\/7)*((d\/(d\/(d\/d**0)))\/d)**(1\/6) assuming d is positive.\nAnswer: d**(5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 y, and 1 v when four letters picked without replacement from {v: 4, k: 2, y: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 7*m**2 + 6*m + 43. What is s(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + g + 5 + (-4 + 2 + 0)*(1 - 1 - 2*g) - g + 0*g - 8*g)*(-g**2 + g**2 + 11*g**2).\nAnswer: -44*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((5*-2*sqrt(75) + -3 + 0 + sqrt(75) + 1 + sqrt(75) + 4)**2 + -3)*1.\nAnswer: -24005 + 800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*360\/192*(-6)\/22*(-36)\/(-540)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**4 - 125*b**3 - 885*b**2 - 1395*b = 0.\nAnswer: -3, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -77, -154, -261, -398, -565, -762?\nAnswer: -989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from faaafaafaaaaaaaafa. Give prob of picking 2 f.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320*u - 321*u + 160 = 0. Calculate the lowest common multiple of 80 and u.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*j - 21*j. Determine g, given that 4\/3*g**2 - 2\/3*g**5 + 2\/3*g + 0 - 4\/3*g**4 + j*g**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, -2.9, -2\/3, 0 in increasing order.\nAnswer: -5, -2.9, -2\/3, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001984621 to 5 decimal places.\nAnswer: -0.00198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/18)\/(-2*7\/(-21))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/45 + (-148)\/(-18) + 6\/(-9). Let z(v) = -v**2 + 4*v - 4. Let u be z(1). Which is greater: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4fe (base 16) to base 4.\nAnswer: -103332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 2*d**2 - 15 + 924*d - 930*d - 40 to the form x + q*d + h*d**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*s**6 - 9921*s**3 + 2*s**2 - 24589*s + 3.\nAnswer: 1200*s**3 - 59526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**5\/60 + 11*g**4\/12 + 43*g**3\/6 + 31*g**2. What is the tens digit of n(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*v**2 + v**4 - 10 + 10 wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4811, -8720, -12629, -16538, -20447?\n\"Answer: -3909*o - 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -302424*f**4\/5 - 141130*f**3 - 504026*f**2\/5 - 100798*f\/5 + 2\/5 = 0?\nAnswer: -1, -1\/3, 1\/50404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161861 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2\/17, 144, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -314967 (base 10) to base 5.\nAnswer: -40034332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-12) + 2\/8. Suppose z*v - 3*v = -36. Suppose 3*g - v = -0*g. Solve 10 - g = -3*b + 3*h, -h + 20 = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 y when three letters picked without replacement from {v: 1, z: 1, y: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -5 - (23 + (-2 - -20))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/15)*o*o**(4\/3)*o*o\/(o*o\/(o\/(o\/(o*o**(-3)\/o*o)))*o)*o*o\/(o*o**3))\/((o\/(o*o**(-3)))\/o**6)**(1\/13) assuming o is positive.\nAnswer: o**(-167\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 788634, 3154502, 7097616, 12617976, 19715582, 28390434, 38642532?\nAnswer: 50471876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3244170*l**2 + 347713*l + 2?\nAnswer: -6488340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1344)\/(-133) - 60\/6.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**3 + 2*p**3 + 2*p**3)*(-2*p**2 + 5*p - 5*p) + (-1 + 0 - 6)*(p**5 - 2*p**5 + 2*p**5).\nAnswer: -5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 3*z**2 + 6*z - 3. Let h be b(4). Let v(y) = y**3 - 21*y**2 + 6. Let o be (-5)\/10*-36 + 3. Let j be v(o). Solve j*q + 4 = h*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = l - 3. Suppose -14 = 3*x + t, 3*x - 5*x - l = t. What is the common denominator of 78\/x - (1 - 5) and -63\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11100001010101010001011 (base 2) to base 14\nAnswer: -da2bc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2711*c**2. Let u(k) = 5*k**2 + 16*k + 2. Let z(g) = -27*g**2 - 88*g - 11. Let n(w) = -33*u(w) - 6*z(w). Give n(a(m)).\nAnswer: -22048563*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 3*d + 6*d)*(-3*d**4 + 2*d**4 + 2*d**4) + 2*d**5 - 2*d**5 + d**5 + (2*d**4 - d**3 + d**3)*(-34 + 74 + 35)*(-15*d + 179 - 179).\nAnswer: -2247*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 7*d + 3. Let y be i(-13). Let v = -74 + y. Let x(c) = 2*c - 11. Let h be x(v). Sort h, -2, 0, 5 in descending order.\nAnswer: 5, h, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a - -3?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12112211 (base 3) to base 7.\nAnswer: 14536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -26 (c) 0 (d) 5 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43569, 43520, 43457, 43374, 43265, 43124?\nAnswer: 42945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**4\/x*x*x\/(x\/(x**5\/x)*x))\/((x\/(x\/x**(-5)))\/(x\/((x\/(x\/x**2))\/x))) assuming x is positive.\nAnswer: x**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*i + 10, 3*l + 3*i + 15 = 3. Let q be ((-3)\/l)\/(1\/34). Suppose 2*m + 3*o - 30 - 4 = 0, -q = -m + o. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) -4\/47 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 104.6 and 0.5?\nAnswer: 104.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7191 and 2195091?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2855216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75336, -75359, -75378, -75393, -75404?\nAnswer: -75411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 8. Let n be v\/14 + (-3)\/84. Let s = 0.002 + -4.002. Which is the third biggest value? (a) n (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/130229?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (54\/(-8))\/(3\/12). Let i = 24 + s. Suppose -3*f - 6 = -4*y, -2*y - f + 11 = y. Put y, 22, i in descending order.\nAnswer: 22, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3 + 1947*s**2 + 39678*s + 71592 = 0 for s.\nAnswer: -628, -19, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 12*u - 20. Give x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.5 times 4?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5526293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -110\/475157 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1355370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/(14\/(-12)))\/(-2). Suppose -4*u + s*u + 6 = 2*i, 2*i = 0. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -194.0476903438?\nAnswer: 193.5476903438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/164*2*2*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5500*-7.\nAnswer: -38500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -208 - -203. Put 20, 2, q in decreasing order.\nAnswer: 20, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/11)\/(c\/(c\/(c\/(c\/(c*c\/((c\/c**1*c)\/c)*c*c)*c)))))**(1\/64)*(c**(-1\/2))**(-7)\/((c\/(c\/(c*c**(-1\/3)))*c*c)\/(c**(1\/5)\/c)) assuming c is positive.\nAnswer: c**(-49\/5280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*m + 9. Suppose -195 = -10*o + m*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, 2 in descending order.\nAnswer: 3, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7600 + 141052*i + 7600.\nAnswer: 141052*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-12)*23\/(-13800)*-16?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 9*s - 427785 = 0, -4*p + 5*s = p - 712835. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2949 at least 2541095\/862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 17*f**3 + 8*f**2 + 13*f. Let m be a(-2). Let r be (104\/m)\/((-2)\/5). Suppose -220 = r*c - 3*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, g: 1, v: 8}. What is prob of sequence vf?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -323 + 206. Let k be (-1*1)\/(9\/g). Suppose k = 2*v - v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76\/8 - 4 - (-2)\/4. Suppose 0 = 67*v - 69*v - j. Let n = 0 - -1. Put n, v, -2 in decreasing order.\nAnswer: n, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -16*p**2 + 2*p + 2. Let b be x(3). What is the units digit of 34\/b - ((-1882)\/8 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2\/21*a**2 - 10\/21 + 8\/21*a = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/6 + 10)\/(2\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6468?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -18. Let z be 2\/(-10) - 36\/20. Let s be (-24)\/(-75)*5\/z. Sort g, s, 2 in descending order.\nAnswer: g, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*j = -1887*j - 1736*j + 126392 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 2 + (-488)\/81. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**4\/7 + 786*f**3\/7 - 9120*f**2\/7 - 94088*f\/7 - 145440\/7 = 0.\nAnswer: -404, -5, -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2746684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -75*s + 3797. What is b(50)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n**3 + 10*n**3 - 8*n**3 + 5*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 11. Let a = 11.35 + -6.35. What is the third biggest value in a, 0.15, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1, -0.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 192 + -192. Let o(m) be the second derivative of l*m**5 - 1\/6*m**4 + 0*m**3 + 0*m**2 + 1\/6*m**6 + 4*m + 0. Find the third derivative of o(p) wrt p.\nAnswer: 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -115, -118, -123, -130, -139, -150?\n\"Answer: -w**2 - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 - 72 + 107)*(-97*w + 31*w - 184*w)*(-3 + 3 + 2) + 5*w - 2*w - 2*w - 2*w + 0*w + w.\nAnswer: 9000*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.035 - -0.0355995. What is g rounded to five decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16 - -8)*(-7)\/8. Let u(h) = 392*h - 315. Is u(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.15 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1882*c**3*p**3 + c**3*p**2 + 368*c**3*p - c**2*p - 40635*c**2 + 64*c*p**3 - 3*p**3 wrt c.\nAnswer: 11292*p**3 + 6*p**2 + 2208*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59.36455709 - -27972.06201291. Let g = 28030.2 - n. Let d = 1.23 + g. What is d rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59\/102 + -3\/34. Suppose z = 35 - 39. What is the closest to w in -2\/5, 0, z, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25 - -27?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-80)\/(-24)*108\/585. Suppose 8\/13*f - 4\/13*f**3 + 2\/13*f**4 - 6\/13*f**2 + r = 0. Calculate f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148321314 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 - 8*p**3 - 2 + 2 to r*p**3 + d + x*p + g*p**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 v when four letters picked without replacement from {v: 12, n: 1}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1163, 4, 1.5, 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 minus 293?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 9 = -0*r, 0 = 4*d - 2*r - 298. Find the common denominator of d\/(-3)*1\/4 and (-3 - (-111)\/36)*82.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623527 is divided by 273.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -2. Let d(p) = -3*p**3 + 3*p**2 - 7. Let f(k) = -k**3 + k**2 - 3. Give u*d(t) + 5*f(t).\nAnswer: t**3 - t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01589130569 to 5 decimal places.\nAnswer: -0.01589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 15*r**2 - 15*r + 18. Let f be y(-16). Suppose 38*u - 34*u - 12 = 0. Solve 5*n + 5 = -4*v, -2*v - f*n - 7 + u = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -27461280 divided by 343266\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3508030 != 3508031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5774.782 - -5781. Let u = 0 + -0.018. Let a = u + d. Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4\/9 + 8*a**3 + 70*a**2\/3 + 208*a\/9 + 23\/3 = 0.\nAnswer: -69, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s - 1. Let j be 3\/1*(-2)\/(-3). Does 5 divide k(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 21 + 5 = 0. What is the derivative of -g + 7 + 4 + 5 + 24*h**2 wrt h?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, s: 6, i: 3}. Give prob of picking 2 i and 1 n.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15252\/(-412) - (-46)\/2369.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m + 1. Let w(h) = -1. Let u(q) = -r(q) - 4*w(q). Let o(s) = -s**3 - 7*s**2 - 8*s - 15. Let l be o(-6). Let x(j) = j - 2. Calculate l*u(t) - 5*x(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6443*c = -6471*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1489\/284 + 1\/142. Calculate the common denominator of 6465\/(-1560) + 6\/312 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343579 is divided by 85570.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 0*k - 3*k)*(-4*k**4 - 2*k**4 + 2*k**4) + 0*k + 0*k + 8*k**5 - 1026015*k**2 + 1026127*k**2.\nAnswer: 4*k**5 + 112*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 x when three letters picked without replacement from exssxexxwsxpexe.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**4 - 1623*i**3 - 16659*i**2 + 70923*i + 85956 = 0.\nAnswer: -13, -1, 4, 551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + m)*(-10*m + m + m + 3*m**2) + (-2*m + 2*m - 3*m**2)*(3*m - 5*m + 4*m).\nAnswer: -3*m**3 - 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/24*(-2)\/4*-6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 203. Suppose s = -s - r + v, -3*r + 377 = 4*s. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 5:34 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 81354*u - 488016.\nAnswer: -3*(u - 27112)*(u - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/189)\/(6\/(-172)). Let i = -22\/9 + p. Which is the closest to -0.8? (a) 2\/13 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 11*s + 709. Give o(-65).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from hqphllehephhhjlphq.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 44 + 31 = 2*o, 0 = 5*m + 5. Let f(c) = 7*c. Let a be f(2). What is the greatest common divisor of o and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3648160 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 9. Let p = 4.5 - c. Let w be ((-6)\/(-20))\/(3\/(-2)). What is the closest to 1 in p, w, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32, 136, 422, 832, 1372?\n\"Answer: n**3 + 53*n**2 + 2*n - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6239650 rounded to the nearest ten thousand?\nAnswer: 6240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-21))\/3*28\/(-36).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 16 - 14 = 0, 3*k - 36 = -3*d. Solve -s = -2*h + 7, k*h - 25 = 5*s + 9*h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/135 (b) 0.4 (c) -15 (d) 2\/13 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37866523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 373\/(7087\/(-1178)) - (-1 - (1 - -2))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 5*x - 9. Let f(h) = -24*h + 126. Let d be f(5). Calculate y(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 5*t - 11*t)*(52 - 52 - 3*t)*(t + 2*t - 4*t).\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1319\/5913 + 5\/5913. Let n = 50 + -72. Which is smaller: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16430 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -51340 less than or equal to -51338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 250 or 5258\/21?\nAnswer: 5258\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 258\/12*(-2)\/48. Let t = o + -637\/48. Let f = 808 + -2381\/3. What is the common denominator of f and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + b - b + (16*b**2 + 6 - 6)*(-b**2 + 3 - 3).\nAnswer: -17*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1140 - 1070.83. Let z = -70 + q. Let v = 7.67 - z. Round v to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 64620818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.31201 to two decimal places.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -15. Let m be (9 - (1 - -1))*(-60)\/(-7). Calculate the greatest common divisor of m and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -61, 28, -172, -4 in ascending order.\nAnswer: -172, -61, -4, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z*z**(6\/7))*z)**(11\/3)*z**(-17)*z*z**(-2\/65))**26 assuming z is positive.\nAnswer: z**(-17448\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.21516606 to three decimal places.\nAnswer: 33.215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-16)\/30*10\/12)\/(5226\/117)\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 2*m = 2*w - 26, 5*w - 3*m + 11 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 339 divided by 113\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 d, and 1 s when three letters picked without replacement from dddsduuddsd.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -0.5, 1, 3, -16\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50332*g**3*q - 1144*g**3 - 2*g**2*q + 1314775*g*q + 8*g wrt g.\nAnswer: -301992*g*q - 6864*g - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6586 or -6581?\nAnswer: -6581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 88640\/8000 + (12\/50)\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w. Suppose -15*h + 1075 - 100 = 0. Let u(c) = -67*c - h*c - 60*c - 22*c + 42*c. Determine o(u(b)).\nAnswer: 344*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -4 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2528 or 6850?\nAnswer: -2528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4 - 4 - 3 - 2*f - 3. Is 6 a factor of l(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*g + 2, -5*z + 5*g + 50 = 0. Suppose 21*a - 24 = 9*a. Solve z = 5*r + a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 850 + -377. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 5*v**4\/24 - v**2 + 67*v. Let b = -292 + 295. Determine h(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + -1 + (16 - 5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + -1 + 4)*(-1 + -6). Suppose -2*n = -1 + i, -h + 3*n + 52 = 0. Calculate the remainder when 146 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-2)\/(-90))\/((-132)\/(-1100)*5)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -446\/9*l - 100\/9 + 2*l**2.\nAnswer: 2*(l - 25)*(9*l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -6. Let j(t) = -t**2 + 7*t + 10. Let o be j(x). What is l in -5*l**2 + 3*l - 4*l + 2*l**o - 2*l = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y\/y**5)\/y)\/y**(-4)*(((y**2\/y)\/y)\/y)\/(y**(2\/5)\/y))**28)**(-49) assuming y is positive.\nAnswer: y**(2744\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*y + 630870, -3*w - 28369 = y - 186080. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 2378?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 52? (a) -1 (b) 4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 109 = 5*x + 461, -3*v + 1615 = 4*x. Which is bigger: 1\/4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6600238 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44623, -44640, -44665, -44698, -44739?\nAnswer: -44788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1*sqrt(1872) - sqrt(1872)))**2*5.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6724713?\nAnswer: 3, 37, 47, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/150287 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhqh when four letters picked without replacement from qhhhqhhqqq.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*k - 104, -4*o + 25 = 2*k - 21. Suppose 3*v - 2*n + 53 = -3*n, -3*v - 51 = 3*n. Let w = k + v. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 6*l + 1. Let y be u(4). Let a be (-111)\/(-21) - (-2)\/y. Let g = 11 - a. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -171 not equal to -0.195992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 16*m**2 + 3*m + 3. Let j(l) = 31*l**2 + 5*l + 5. Let p(n) = -63*n + 1759. Let h be p(28). What is h*u(b) + 3*j(b)?\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0*a + 2*h + 5, 0 = -5*a - 2*h - 13. Let z be 1\/((0 - a) + -2). Is -2\/7 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b - 24 = 5*q, 42 = 5*b + q. What is the remainder when 61 is divided by (-5 + (-5 - 8))*(-3)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g - 1. Let z(d) = -5*d - 1. Let s(f) = -3*c(f) + 2*z(f). Let w be s(6). Let n = 119 - 93. Calculate the highest common divisor of w and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 146 - 10 = 0. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnf when three letters picked without replacement from mnfrvfm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 8:41 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -9*g + 28. Let j be k(10). Let o = 57 + j. Suppose 0 = 3*f - l + 20, 5*f - 1 = -3*l - 39. Which is bigger: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -517 - -1149. Suppose 0 = b - 4 - 0. Let j be (-3481)\/2*t - b. Round j to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.1. Let d = 17 + -21. Let h = 3.7 + d. Which is greater: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 0.4, 201, -5, -0.5, 49, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37825?\nAnswer: 5, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -1b3c?\nAnswer: 1b3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101006660.\nAnswer: 2, 5, 19, 265807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(325)*6)**2.\nAnswer: 187200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -3*m**2 + 0 + 0*m**3 - 1\/180*m**5 + 0*m + 1\/18*m**4. Factor a(v).\nAnswer: -v*(v - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(1\/2)*m)\/m)**(1\/43))**(3\/11) assuming m is positive.\nAnswer: m**(9\/946)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 219.5 times 0.4\nAnswer: 87.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpsp when four letters picked without replacement from {l: 5, s: 12, p: 2}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1677160 and 10120.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1179973257, -1179973258, -1179973259, -1179973260?\n\"Answer: -w - 1179973256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**4\/7 + 10*w**3\/7 + 50*w**2\/7 - 10*w\/7 - 48\/7 = 0.\nAnswer: -3, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297186.\nAnswer: 2, 3, 49531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7*q = -12. Let x(n) = -8*n + q*n + 3*n + n. Let g(i) = -i. Determine -4*g(v) + x(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/9)*a**(-7\/6)*a*a**(-5\/7)\/(a*a**(-14)) assuming a is positive.\nAnswer: a**(1499\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to -4417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(3 - (-129)\/(-42)). Let r = t - -23. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147469834.\nAnswer: 2, 73734917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*w**2 - 37 + 17 + 20.\nAnswer: 309*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 1. Let d(y) = -y. Let q(m) = 1. Let a(k) = -d(k) + q(k). Give a(r) - 2*x(r).\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1936 at least -1935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21857838?\nAnswer: 2, 3, 41, 88853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 9 = c, -3*c - 1362 = -2*x - 1373 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + (-72)\/(-30))\/(((-840)\/(-25))\/12). Determine k so that -44\/7*k**2 + w*k**3 + 64\/7*k + 64\/7 = 0.\nAnswer: -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 40) + -100 + (208 - 123)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -24, -20, -18, -18?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4310 + -4309. Let v = 0.06 - -0.05. Which is the nearest to 1? (a) y (b) v (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20\/9 + -13\/6. Let p = 38 - 38. Are h and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -6) + (21 + -14 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -135*o**2. Let b(n) = -n**2. What is b(a(p))?\nAnswer: -18225*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26034335 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 1 = -8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*5\/(-140) + (-39)\/60?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*r**3 + 31*r**3 + 11*r**3 + 12*r**3.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*f = 36, -3*s + 36 = -s - f. Suppose w - 9 = -u, 2*w = -3*w - u + 25. Suppose -w*i = -178 - 34. What is the remainder when i is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33966192*o**2*y - 31*o*y + 153891*y wrt o?\nAnswer: 67932384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 - 47. Calculate the smallest common multiple of 4 and (2\/6)\/(((-64)\/(-516))\/l).\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 20*k + 21. Let o be y(-19). Let q = o - -3. Suppose 5*i = -d + 5 - 1, -d = 4*i - 4. Solve 2*g + 7 = t, -2*t + i = -g - q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 29*i**2 - 118*i + 51. What is s(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20434?\nAnswer: 2, 17, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15d84e (base 16) to base 6\nAnswer: -50403530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 45, 8, -4 in descending order.\nAnswer: 45, 8, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04905854 rounded to three decimal places?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5*(-4)\/20)\/((-1)\/(-17)). Suppose 20*y - 18201 = q*y - 2*k, -5*k + 15 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 4*n + 8*p - 24, -2*n = -5*p - 18. Solve -4*r + 2*y = -2*r - 10, 0 = -n*y - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1 - 5 = 0. Let v be f\/((-22)\/(-10) + -2). What is the tens digit of v\/(-45) - 939\/(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8 + 5 - 11*w**2 + 2 + w**3 + 7*w - 4. What is f(10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-30))\/(15\/(-80)). Let o = -0.2 + 0.1. Which is greater: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2243 is divided by 181?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2744347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51049, 51102, 51155, 51208?\nAnswer: 51261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - 19 = 6*b - 99. Solve -26*s + 12 = -23*s + 3*g, -2*g = -b*s - 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 824*q**2 + 11411 - 11411 - 3*q**2 + 3*q**2 + 2*q**2 + (0*q + 2*q - q)*(-q + 2*q - 2*q) + q**2 + 0 + 0 to the form b*q + v + n*q**2 and give n.\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 425 + 223 = -217. What is the third biggest value in 123, 0.5, y, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10 = 0, 3*u + n = 2*u + 8. Suppose 5*s + 4 + 7 = -u*t, 5*s - 5 = 5*t. Let z = 19 - 77\/4. Which is the nearest to 1? (a) z (b) -6\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 - -915\/11. Is 0 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491092652 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + 54\/9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3593824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 427753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 34.91759 micrograms?\nAnswer: 0.00000000003491759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n - 3*n + 7*n - 3*n in the form k + r*n and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o. Let p(m) be the first derivative of 2\/3*m**3 - 1\/40*m**5 - 2 + 0*m + 0*m**4 + 0*m**2. Let f(z) be the third derivative of p(z). Give f(x(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.3 - -10.3. What is the nearest to a in 0.4, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 93516924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 19641000 to the nearest one hundred thousand.\nAnswer: 19600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -4153 and -4153 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 45\/2*q**2 + q**4 + 27\/2*q + 17\/2*q**3 - 27\/2 = 0. Calculate q.\nAnswer: -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -12.\nAnswer: -17\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 8. Suppose -5*f = 5*u - 20, -3*u + 4*u - 8 = 3*f. Let i be j(u). What is the first derivative of -k**i + 8*k**3 + 2 + 5 wrt k?\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -260, -395, -532, -671?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066 greater than or equal to 4065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 12) in base 10?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-5 + 12 + -6 - 9)) + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 19232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47303195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 244990 rounded to the nearest 1000?\nAnswer: 245000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bd (base 15) to base 9.\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 198 - 202 = o, 0 = -2*m - o - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1097405537 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -46, -89, -156, -247, -362?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**8\/168 - 31*y**7\/105 + y**6\/2 - 2*y**2 - 1306*y + 1. Solve x(g) = 0 for g.\nAnswer: 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*d**2 + 11*d**2 - 5*d**2)*(2*d**2 - 2*d**2 - 4*d**3).\nAnswer: -68*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 9\/13853?\nAnswer: 9\/13853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*i = 120, j + 4*i = -0*i + 50. Solve -77*c + j*c = 57 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51180 = 1080*a - 1092*a. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65\/198 - -171\/22. What is the common denominator of 18\/(-14) + 7*2\/(-7) and y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -67, -105, -143?\n\"Answer: -38*o - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.6 (b) -0.2 (c) 4 (d) 338\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21599279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3217 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 72*f**3. Suppose 803 + 664 = -30*z + 27. Let s(p) = -p**3. What is z*s(q) - k(q)?\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 16 = y - 6*y, -3*p = 3*y + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 21 - 21\/((-105)\/(-10))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 14*g. Let z(n) = -10143*n**2 + 2580*n**2 + 2476*n**2 + 2051*n**2 + 2394*n**2. What is h(z(y))?\nAnswer: -8988*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-7))\/(133\/171*(-15)\/(-210)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3 + -3.7. Let q = 1 + f. Let r = 0.36 + -0.06. What is the third smallest value in 0, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 7. Let f be d(-5). Suppose 4*k + 2*y = -0*y - f, -7 = -k + 2*y. Let m = 14\/15 + -3\/5. Which is the second biggest value? (a) -2 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-18)\/(d\/(d\/(d\/d**(-5\/2)))))**(2\/3) assuming d is positive.\nAnswer: d**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-5 + 2 + 5 - -20) + 11?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498734?\nAnswer: 2, 249367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8*f - 20 - 4*f - 4*f + 17*f. Calculate l(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570752 = -3763*d - 7213*d for d.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18537, -37082, -55627, -74172?\nAnswer: -92717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + -0.7. Let b = -2151\/3752 - -1\/536. Sort b, 2\/11, a in descending order.\nAnswer: 2\/11, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2887734559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 2)*(u**3 - 2*u**3 - 7*u**3).\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -213 - -991. Suppose 3*f = -253 + w. What is the highest common divisor of f and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3097010933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 5*j**2 + 90*j + 45. Let g be q(-7). Let d be (-7 - -4)*(-1 + 2). Put 0.2, -13, d, g in descending order.\nAnswer: g, 0.2, d, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(54)\/sqrt(3))\/sqrt(6).\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 58*j + 17 = -56*j, -3*s = 5*j - 2 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*m*q*s - 2*m*q*y - 3*m*q + m*y + 21*m - 2*q*s*y + 2*s*y wrt s.\nAnswer: -7*m*q - 2*q*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -12. Let d = 8 - n. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 6 = 7*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + -2*sqrt(170))*1*-6)\/(-6*sqrt(100)\/(sqrt(10) - sqrt(1000))).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64748578 is divided by 3084?\nAnswer: 3082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + h. Suppose 2*v = -v + 21. Suppose -36*d = -52*d - 144. Let z = d + v. Calculate q(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21322802 to the power of 1\/2, to the nearest integer?\nAnswer: 4618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37140 and -0.3?\nAnswer: 11142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-280)\/350)\/((-2)\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 13*a**2 + 14*a + 10. Suppose -5*i + 9 = 62*s - 64*s, 4*s + 33 = 5*i. What is b(s)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58257 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q**3 + 3*q**3 + 2*q**3)*(-3 + 0 + 4) - 98*q + 100*q + 2*q**3 + q**3 in the form h*q + d*q**3 + b + y*q**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 4409?\nAnswer: 44090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.8 and 0.08.\nAnswer: -0.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7311, -14620, -21929, -29238?\n\"Answer: -7309*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*l + 1624 = -109*l. Let m(n) = 400*n - 56. Let q(x) = 21*x - 3. What is l*q(r) - 3*m(r)?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -166 + (3\/6)\/(5\/(-10)). Let z be n\/(-5)*(-4 + -1). Is z at least -168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12391538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlzlllllllllllllll. Give prob of sequence zl.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.1 (b) 4 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -3 (c) -1\/2 (d) -3\/881 (e) 2 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 189773808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/234*-39*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*p**2 + 47*p**4 - 12*p**2 - 92*p**4 + p**4 + 4*p**4 - p**4 + (-3*p**4 - 2*p**4 + 4*p**4)*(-3 + 1 - 1).\nAnswer: -38*p**4 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -293268.71 or -20?\nAnswer: -293268.71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50750 and 291.\nAnswer: -14768250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/3*(-18)\/5. Let d be (-5 - -1)*18\/o. Suppose -2*s + d*f + 3 = 1, -10 = -5*f. Solve 7*b - 2*b + s*g = 6, b - 18 = -5*g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5*d + 49099, -3*w + 8*w - 5*d = 61340. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*m + 201 = 27*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1542944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29739 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9392, 18787, 28186, 37589, 46996, 56407?\nAnswer: 65822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3*1)\/(12\/(-8)). Let z(w) = 3*w + 0*w + 8*w - 10*w - 3 - w**3 - 3*w**m. Suppose 4*a + 1 = -15. What is z(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 7*h + 10012473. Let z = h + -1915051. Let n = -2292440 + z. What is n rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.787 - 4.737. Let r = 13\/9 + -5\/3. Is r at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18851153 times -2?\nAnswer: -0.37702306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67409*c**3 - 936*c**2 - 3*c - 2 wrt c.\nAnswer: 404454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4352 - -201?\nAnswer: 4553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16905, 33831, 50769, 67719, 84681, 101655?\nAnswer: 118641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 68\/70 - (-4)\/(-10). Let v = 111.6805 + -111.9805. What is the third biggest value in j, 24, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwnnzssq. What is prob of picking 1 q, 1 s, 1 w, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900)*2)\/(sqrt(192) + sqrt(192)*2 - sqrt(3) - sqrt(3)) + 0 - (sqrt(12)\/(sqrt(20)\/sqrt(5)) + (sqrt(108))**2)*6.\nAnswer: -648 - 56*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*u + 29 - 123, 2*r - 5*u - 77 = 0. What is the highest common factor of 208 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 340 + 2?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -119*g**4 - 368*g**4 - 339*g**4 - 100*g**4 + (-2*g + g + 2*g)*(2*g - g**3 - 2*g) + g**2 - g**2 - 2*g**4.\nAnswer: -929*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/21 + 30\/(-35). Let i = d - -62\/133. Let x = 1 + -6. Put -0.5, i, x in ascending order.\nAnswer: x, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 4*r + 21 = 3*x, -x + 50 = -r + 4*r + 39 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -600?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 1 + 2 + 0*m**2)*(-132*m**2 - 74*m**2 + 4*m**2).\nAnswer: 202*m**4 - 202*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16a71a - 1?\nAnswer: -16a71b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19296430421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5065 divided by -5065?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(3*-7)*-2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289 - 279 = -4*w. Let f = w - 427\/3. Sort -0.2, 1, -5, f in ascending order.\nAnswer: -5, f, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 27 = -20*u + 3. Let w(o) = -o**3 + 6*o**2 + 8*o - 1. Let j be w(7). Sort u, j, 4, -1.\nAnswer: -1, u, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a\/(((a**10*a)\/a)\/a)))\/a)**(7\/2)\/(((a*a**(7\/2)*a*a)\/a)\/(a\/(a**(-1\/10)*a))))**(-7\/2) assuming a is positive.\nAnswer: a**(-1337\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422 + 281 = -133*p + 501 + 1087 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*o + 17, -2*q + 23 = 5*o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 2*n**2 - 1. Let i be l(2). Let t = 0.59 - 0.42. Let v = -0.67 + t. Which is the second biggest value? (a) v (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 2:16 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 5:05 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/2 + (-5 - -28)*1. Suppose 27*v - g*v = 484. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 - 71. Suppose -p = -6*n + 10. Solve 2*t + 6 = n*y - t, 4*y + 3*t - 22 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80372 + 116469. List the prime factors of c.\nAnswer: 36097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 4. Let u = 54 - 38. Calculate the lowest common multiple of u and -3 - 1*(-75)\/n.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1765613\/52 - -33952. Let j = r - -11\/13. Is j > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2, 4*l + 2 - 6 = -4*y. Let m = y + 3. Let z(r) = r - 2. Let u be z(m). Calculate the greatest common factor of 9 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 9:32 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/(-9*4)*35 and (-16)\/(-12)*(-270)\/(-112).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79.06 - 0.06535612.\nAnswer: -79.12535612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88692.57 months to centuries.\nAnswer: 73.910475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r - 7. What is z(-9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 z when four letters picked without replacement from {w: 2, z: 6, y: 5}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(128))*3 - -2*(sqrt(128) + -1))**2 + (((sqrt(144) + sqrt(4))\/sqrt(2))**2 + sqrt(2) - 2*sqrt(242)).\nAnswer: 59*sqrt(2) + 3299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7593.297 minutes in hours?\nAnswer: 126.55495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 8*m - 4. Let z be n(-4). Let c(g) = 2*g - 20. Let k be c(z). Let s = 1164\/7 + -166. What is the second biggest value in 3, k, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9691220230 - -9691220280.99999997. Let p = -51 + b. Round p to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 7:16 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 3*r - 30, 0 = -7626*r + 7621*r + 3*d + 49 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (42\/35)\/((-38)\/(-95)). Let m be 6\/9*18\/(-4). Sort n, m, 17, 1 in ascending order.\nAnswer: m, 1, n, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15\/4 + -3. Suppose -114 = -10*l - 74. Which is the nearest to x? (a) -5 (b) l (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, 1, 3\/82, -837, 1\/2, -6 in decreasing order.\nAnswer: 5, 1, 1\/2, 0.2, 3\/82, -6, -837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - r - 12. Let u be (-2)\/(-4) + 0 - (-3597)\/(-110). Let w = u - -32. What is the nearest to w in r, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 151*w - 824. Calculate c(5).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1 = o + 15, -4*o - 17 = -3*m. Let n be 0 - (o\/(-5) + (-21)\/15). Let l(p) = 2*p - 1. Give l(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34923 and 24?\nAnswer: 279384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -259*q**2 + 101*q**2 - 611*q**2 - 44*q**2 in the form y*q + c*q**2 + v and give c.\nAnswer: -813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*c*k**2 + 2401553*c + 1234*k**3 + 92*k + 23 wrt k?\nAnswer: -14*c*k + 3702*k**2 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 20 + 60. Let p be (i\/2)\/(3\/(-3)). Let s be 90\/21*(-336)\/(-36). Calculate the highest common factor of s and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84751765*g**4 + 96739529*g?\nAnswer: 1017021180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5391209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8073930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(2\/13)*(k**(1\/3))**(-8\/7))\/((k**5*k*k\/(k**(-2\/9)*k))\/(k**1)**(-27)) assuming k is positive.\nAnswer: k**(-2117\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, z: 7}. Give prob of picking 2 p and 2 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140 + 155. Solve 3*k - 5*s + 3 = -s, -2*s + q = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -919.3 and -1.\nAnswer: -920.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(75))**2 + (sqrt(3) - sqrt(30)\/(-5*sqrt(10))))*1.\nAnswer: -44*sqrt(3)\/5 + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 3*u - 338. Let o = u - 20. Is 28 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/11 + -8\/33. Suppose 0*v - 2*v = 0. Let j = 2 + -2.2. Which is the third smallest value? (a) j (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -25.1. Let j = 2.8 - x. Let q = 2.5 + -6.5. Which is the biggest value? (a) j (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 145 - 152. Let j(x) = x**2 + 7*x + 4. Give j(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 4:51 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzckctzchhh. Give prob of sequence ktz.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.1 (b) 0 (c) -1\/2 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 24316*g - 389053. What is d(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 21*k**2 - k + 4. Let g(h) = -79*h**2 + 4*h - 11. Let u(o) = -2*g(o) - 7*s(o). Let d(v) = -10*v**2 + v + 5. What is -6*d(c) - 5*u(c)?\nAnswer: 5*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*x = -204*x + 105. What is m in 2\/15*m**x - 2\/15*m**2 + 2\/15*m**4 - 2\/5*m**3 + 4\/15*m + 0 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 11:13 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-4)*(-44)\/(-55). Put v, 5, -2 in decreasing order.\nAnswer: 5, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12002 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 410 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 13. Let a = 20.56 - r. Let i = a - 0.55992. Round i to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2601 is divided by 238.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - t - 1323 = 2*t, h + 2*t = -662. Let w be 2\/7 + h\/(-42). Suppose 2 = -k + 5*f, -6 = -k - f + w. What is the highest common factor of k and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**3\/3 + 2*g**2 - 5*g + 361. Let t be 2*2\/(-12)*-15. What is p(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 519167982 to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -5.9. Let q be 1*((-2)\/(-3))\/(-2). Let n = 24 - 23.9. Which is the closest to n? (a) 0 (b) h (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 5) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -13*k + 101. Let b(d) = -25*d + 199. Let t(p) = 6*b(p) - 11*v(p). Differentiate t(i) wrt i.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70312*s**2 + 2*s + 17840.\nAnswer: -140624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17985?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 445 + -489 - (25 + -194)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + -1 - 206517\/(-146). Let j = t + -1405. Suppose -5\/2*s**2 - j*s**3 + 0 - 2*s**4 + s = 0. Calculate s.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*k**4 + 3*k**4 - 5*k**5 + 5*k**4 + (-3*k - 3*k + 5*k)*(13 + 2*k**4 - 13).\nAnswer: -7*k**5 + k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8822.198kg in milligrams?\nAnswer: 8822198000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 3*c - 7. Determine u(7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412 = -73*h + 103 + 799 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-1))\/((-2)\/(-6)*6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, s: 10}. What is prob of picking 3 s?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.907 - 5.907. What is the second biggest value in b, 0.4, -127\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -592878 and -3.7.\nAnswer: -592881.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/5 (b) -154 (c) -0.06 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -20*o + 80. Let j(m) = -4*m + 15. Let v be j(6). Let k be q(v). Calculate the greatest common factor of 104 and k.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 w when three letters picked without replacement from {w: 5, j: 2, x: 5}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + f + 2)*(-2*f + 3*f - 3*f) + 3 + f**2 - 3)*(-1229*f - 416*f - 63*f + 1).\nAnswer: 1708*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -34. Calculate the common denominator of 109\/18 and (-2)\/(-2) - (-26)\/r.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 + 250*w**3 - 7936*w**2 + 7688*w.\nAnswer: -2*w*(w - 62)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*p - 1010*c**2 + c*r**3 - c*r + 3*p*r**3 + 131702*p*r**2 - r**3 - 2*r with respect to p.\nAnswer: c**2 + 3*r**3 + 131702*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.38 - -159.62. Let q = 0.080179 + -162.081759. Let p = b + q. Round p to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 4*z + 1007521 - 1007500 = 0, 2*z = 5*t - 35 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2836, 11405, 25694, 45709, 71456, 102941?\nAnswer: 140170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2. Let o(q) = -21*q + 21. Determine o(d(f)).\nAnswer: 21*f**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76*k**2 - k**5 - 58857291*k**3 + 58857234*k**3 - 18*k + 21*k**4 - 21*k**2.\nAnswer: -k*(k - 18)*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2*t - 15 = 0. Suppose 4*o + 0 - 8 = -4*h, 5*h - 20 = 0. Let x = -2192 + 2186. Sort x, t, 5, o in ascending order.\nAnswer: x, o, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 11*j**6\/120 + j**5\/60 + 82*j**3\/3 - 191*j**2\/2 - 106*j. Let t(g) be the first derivative of f(g). Differentiate t(u) wrt u.\nAnswer: 33*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53243497 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8, -52, -126, -230, -364, -528, -722?\n\"Answer: -15*h**2 + h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4 + 4. Let k = 2 - 2. What is the units digit of s - -2 - k - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-52)\/(-20) + (-2)\/(-5). Suppose -4*c + 31 = 3*j, -j + 2 = -k. Solve 0 = c*h - 2*h - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 795, 819, 855, 909, 987, 1095?\n\"Answer: j**3 + 17*j + 777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j + 0*j)*(114*j**2 - 44*j**2 + 11*j**2 - 2 - j).\nAnswer: -81*j**3 + j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 250, 374, 498, 622?\nAnswer: 746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 13*i**2 - 4*i - 15. Let m be x(-13). Find the second derivative of -l**3 + m*l + 6*l**3 - 28*l wrt l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 14, -2.\nAnswer: -2, 14, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -12. Let s(i) = 6*i - 12. Is 16 a factor of s(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4491*a**3 - a**2 + 1334*a + 40473405 wrt a.\nAnswer: 13473*a**2 - 2*a + 1334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -1\/7*u**6 + 0 - 9\/7*u**2 - 10\/7*u**4 + 9\/14*u**5 + 25\/14*u**3 + 1\/98*u**7 - 324*u. Factor y(k).\nAnswer: 3*(k - 6)*(k - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 169*y**5\/15 + 13*y**3\/6 + 546*y**2. Find the first derivative of x(f) wrt f.\nAnswer: 1352*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 78 + 60. Let f be (-112)\/(-132) - -6*(-2)\/h. Which is the closest to 30? (a) f (b) 1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1260759.\nAnswer: 3, 420253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30\/23 - 224\/207. Factor 0 + k*x**2 - 2\/9*x.\nAnswer: 2*x*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1654680 + -340\nAnswer: 1654340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 1 (b) 4 (c) 0.12 (d) 0.4 (e) 30412\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163036*q**3 - 163002*q**3 + 326169*q**3.\nAnswer: 131*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1194*c - 2926 = 1040*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o**(2\/7)*o)\/o)**(2\/61)*(o*o*o**(-2\/5))\/o**4)\/(o**10\/(o*o*o\/o**(-4\/7)*o))**(-7\/9) assuming o is positive.\nAnswer: o**(35824\/19215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -54*c**2 - 19363*c - 642505. Determine s(-37).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most as big as -52837180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 7*l**2 + 19*l + 29. Calculate the least common multiple of 4 and h(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4 = 161. Let g = 1277 + -1151. What is the remainder when g is divided by m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*h - 87*h - 3*q + 3 = 0, 0 = -3*h + 2*q - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 4*s + 3*s + 2*s. List the prime factors of x(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (69 + (-44 - -12))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 283582 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*g**3 - g - 4 + 5\/2*g**2.\nAnswer: -(g - 4)*(g - 2)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -11\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 197 or -21151?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -14*c - 17. Let d be (1*(2 + -3))\/(-1). Let o be (6 - (11 + -2)) + (d - 5). List the prime factors of h(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3562\/(-12056)*(-24)\/26?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeez when four letters picked without replacement from {z: 7, e: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (-2)\/(2\/(-3)). Let b be (4\/6 - 1) + (-12)\/45. What is the biggest value in 2\/5, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (31 - (39 - 70)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 15*c + 12 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1440 + -1440. Let c(q) be the second derivative of 3\/140*q**5 + k - 2\/7*q**3 + 9*q - 1\/210*q**6 + 4\/7*q**2 + 1\/42*q**4. Let c(j) = 0. Calculate j.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+-20.44889\nAnswer: -25.44889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3.8. Let p be 5\/2*(-56)\/(-10). Let i be p\/(-49) + 1\/(-21). What is the nearest to i in -3, 0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 461 divided by -46785.\nAnswer: -461\/46785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(4\/3)*b**(-9\/5))\/(b**(-6)\/(b*b\/(b*(b*b*b**6)\/b))) assuming b is positive.\nAnswer: b**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**5 - 12*f**4 - 3*f**5 + 55*f**3 - 4*f**5 - 39*f**3 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755386 (base 11) in base 2?\nAnswer: 1011010111010110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 146 - 152. Is (6 - 2) + -2 + (-5646)\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8\/11453, 2.56, -1\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4946?\nAnswer: 2, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4 = -1. Let u = 2 + w. What are the prime factors of (-20)\/3*u\/(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 2)\/(2 - 1). Let t(w) = 0 - 5649*w + 5646*w + 2 + 4. Let b(v) = -v. Let l(o) = q*t(o) - 4*b(o). Determine l(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6*y = 172. Let n = y - 24. Suppose 3*m - n = 5. Solve -k + m = -w, 2*k + 4 + 0 = -2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*c + 2310, 0*c = -2*c - 3*g + 2306. Suppose -5*b - 85 + c = 0. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7ad + -29b4?\nAnswer: -3383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 1, n: 1, r: 2}. What is prob of picking 1 r and 1 n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1566.842559 to 2 decimal places.\nAnswer: -1566.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u, -2*u = -z - u + 214. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d + 154. Give c(15).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lup when three letters picked without replacement from vvulnpf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 3. Let i be 81 - (151 + -70) - ((-54)\/26 - -2). Which is the third smallest value? (a) i (b) 0.3 (c) s (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28447?\nAnswer: 28447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 337 + -172. Let z = u + -164. Is z < 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 771517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 + 48\/2 + -11 - (5 + 0). Sort -4, -9, d, 4, 2 in descending order.\nAnswer: 4, 2, d, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -10, -8.\nAnswer: -10, -8, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*t**3 + t + 4*t**2 + 23 - 25 - 6*t**2 + 4*t**2 - 2*t**4 as z*t**2 + f*t**3 + u + x*t + c*t**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 + -131. Let h = g - -33. Solve 7 = 4*o + h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggqmqqcmqmttxqqqggmm. What is prob of sequence cqt?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 7 - 1. Let x be 4\/2 + (-8)\/m. Let i = -3 + x. Solve 2*a - 2*f - 3*f = 19, -i*a + 4*f + 18 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 330 - 192. Suppose -5*o + y = -2*t, -29 = -o - 2*t + t. Suppose -4*x = 4*f + o, x + 3*x = -8. Let h(s) = -s**2 - 5*s + 4. Calculate h(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/7 - 6050*c\/7 + 3490448\/7 = 0. What is c?\nAnswer: 776, 2249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 10*d - 10. Factor -18*z**d + 0*z - 18*z**4 - 18*z**2 - 3*z**5 - 12*z - 39*z**3 + 0*z.\nAnswer: -3*z*(z + 1)**2*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjo when three letters picked without replacement from obdij.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 40*u - 45*u, -4*d = -5*u + 2. Solve 48*s = -2*n + 50*s - 4, 0 = 5*n - d*s + 19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6165 is divided by 46.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7121*u**4 - u**3 - 10702*u**2.\nAnswer: -170904*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 2*k + 6. Let a be v(3). Let l be 5 + a\/(-3) + 3. Suppose -f - l = -2. Put -4, 5, f in increasing order.\nAnswer: -4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 246 + -251. Put -16, 0, j, -1 in decreasing order.\nAnswer: 0, -1, j, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-9))\/((9 - 13) + 3). Let g be (-4)\/(-14) + 76\/(-70). What is the smallest value in 14, -5, h, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n - 16*n + 6*n + 5*n. Let z(p) = 4*p - 4*p + 7*p. Give h(z(b)).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-37)\/((-3885)\/3960) + (-2)\/(-7). Let c(t) = t**3 - 39*t**2 + 80*t - 39. What are the prime factors of c(z)?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2 + 5*r - r + 4*r**2 - 9*r**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 8373838*w + 17530290712561.\nAnswer: (w + 4186919)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432 (base 11) to base 6.\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(13\/((-676)\/(-13))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 3:02 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 41129540\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 35645 divided by -5\nAnswer: -7129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992075467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17966 and 390.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4603 divide 42057611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4620 divided by -6.\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10436827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a6 (base 15) in base 11?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 4:35 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26 and 6\/17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - 5*r + 4*r)*((-4*r - 3*r + 6*r)*(0*r - 2*r - 2*r) - 2*r**2 + r + 0*r**2 + r**2) as z*r**2 + a*r**3 + l + h*r and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83112 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 39*d - 2. Let v(q) = q. Let b(m) = 2*m. Let y(a) = b(a) - 3*v(a). What is y(s(c))?\nAnswer: -39*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.4 + -11.5. Which is the nearest to q? (a) 2 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2242 - -2242. Let b(t) be the third derivative of t**5\/60 - t**4\/12 + 115*t**3\/6 + t**2. Is b(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -286, 210 in increasing order.\nAnswer: -286, 0, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 11. Let t be f(16). Suppose -t*h = -g + 5, -g = -4*g + h + 15. Solve 5*w + g = 6*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 5. Let t be (8\/(-5))\/((-3)\/15). Let j = t + -4. Calculate h(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1562, 1545, 1532, 1523, 1518, 1517, 1520?\n\"Answer: 2*v**2 - 23*v + 1583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 4.2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-2 - 2) - -2. Let t be 1 + -1 + z\/(-3). Let j = t - 25\/24. What is the common denominator of -73\/20 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6964260 by -6.\nAnswer: 1160710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3582 = z + 3558. Solve 3*r = 4*s + z, 45 = -7*s + 2*s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(13 - 3)*1\/(-2). Solve i*v = 8*v + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(343)*1 + -4 + sqrt(343) + -1 + -1 + (sqrt(343) + (sqrt(343) - (sqrt(343) - (sqrt(343) + sqrt(343)*-1*3)))**2 - (sqrt(343)*-1 + 5)**2))*-1.\nAnswer: -993 - 91*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1125)\/315 + (-613)\/(-7)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1. Let p(s) = -3*s + 1. Let c(f) = 6*k(f) - 6*p(f). Suppose 6*j = 79 - 85. Calculate c(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19\/3 + -59\/9. Let g = -3.54 + 0.04. Let u = g + 0.5. What is the smallest value in w, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/8 + 9*z**3\/4 - 59*z**2\/8 + 21*z\/4.\nAnswer: -z*(z - 14)*(z - 3)*(z - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 6:31 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/2319206789?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 2\/11 (c) 0.07 (d) 0.3 (e) -1\/3 (f) 0.6463\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-22 - -12 - (-4 + 4)) + 16 - -110.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j. Let h(v) = 121*v**2 + 4. What is r(h(p))?\nAnswer: -726*p**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k + 0 - 3*k**3 + 7\/2*k**2 - 1\/2*k**4.\nAnswer: -k**2*(k - 1)*(k + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3892954*r**3 + 1946489*r**3 + 1946478*r**3.\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 + 4*f + 67. Let n(k) = -k**2 - k. Give -c(y) - 4*n(y).\nAnswer: 8*y**2 - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 9:34 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - -2d5d92?\nAnswer: 2d5d77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*y + 16*y - 34*y**4 - 5*y + (0*y**3 - y**3 - y**3)*(-21 + 21 + 5*y).\nAnswer: -44*y**4 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 4. Suppose -x - 3*p + 7*p - 23 = 0, -3*x + 5*p = 34. Let h be 6\/28*7\/(-6). Which is the smallest value? (a) i (b) x (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whz when three letters picked without replacement from {x: 2, h: 4, w: 3, z: 8}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-540)\/(-96))\/((-3)\/(-2))).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9560447 is divided by 102.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + s**2 - 1. Let x(f) = 2 - 14*f**2 + 1 + 6*f**2 + 3*f**3. Suppose -35*n + 18 = -17. Give n*x(q) + 5*p(q).\nAnswer: -2*q**3 - 3*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-5)*100\/120. Is -25 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 62*v**2 - v - 1. Suppose 5*c - h + 0 + 3 = 0, 2*h + 8 = -4*c. What is the units digit of i(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 5:12 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2372.3077 + -2787.382. Let r = 534 + -119. Let b = r + t. Round b to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441716487.\nAnswer: 3, 29, 5077201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 n, and 2 d when four letters picked without replacement from fddddkffddnfzdn.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9*m**2 + 1833*m. Let j(k) = 10*k. Give j(g(d)).\nAnswer: -90*d**2 + 18330*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -738\/79 (b) -0.1 (c) 2 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**3\/3 + 12*y. Let f(j) = -46*j. Determine g(f(s)).\nAnswer: -92*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 572 - 392. Let f = j - 34. Suppose -f - 74 = -5*n. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142351, 569460, 1281325, 2277946, 3559323, 5125456?\nAnswer: 6976345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1702 (base 16) to base 9.\nAnswer: -8064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or 0.008?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**4\/12 - 3*c**3\/2 + 11*c**2 + 7*c. Let x = -55 - -61. Let v be f(x). Solve v*l = a + 19, 4 = -2*l + 3*l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40179.70291 to the nearest one thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 43 = -3*m + k, -3*m - 2*k = -36. Factor 8 + m*h**2 + 6*h - 4*h**3 - 12*h + 2*h**3 - 10*h.\nAnswer: -2*(h - 2)**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 7 - 7 - 13 = -3*t - 9, 11*c = -2*t - 19 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 0.1564\nAnswer: -0.0782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/40 + 741\/(-8). Let o = 18 - c. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -80604057, -0.4?\nAnswer: -80604057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 3\/4*f**2 + f + 38 - 1\/32*f**4 - 1\/12*f**3 + 1\/160*f**5. What is o in p(o) = 0?\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 11182*v + 11176*v + 4 - 1.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*g*l**4 + g*l**3 + 2*g*l - 183*g + 15*l**5 wrt l.\nAnswer: -144*g*l**2 + 6*g*l + 300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 788 and 944.\nAnswer: 185968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 3*w - 0*w - 3*z, 2*w + z = 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0*a + 27. Let l be a + 12 - (1 + 2). Suppose -y**2 - 2\/3*y + l - 1\/3*y**3 = 0. What is y?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/(sqrt(44)\/sqrt(4)) + sqrt(36))\/sqrt(432).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -20*d + 2. Let l be s(-1). Let q = 29 - l. Let p(g) = g**2 - 3*g + 11. Does 14 divide p(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + -1. Suppose 43 = 3*n - 5*z, -n + 4 = -2*z - 12. Let b be n*(2\/(-10) + (-34)\/30). Let d(r) = 9*r. Let a(i) = -14*i. Calculate b*d(w) + s*a(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*s - 18. Suppose -38*p - 360 = -62*p. Solve 0 = s*b - p*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3283, 3350, 3463, 3622, 3827, 4078, 4375?\n\"Answer: 23*z**2 - 2*z + 3262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 83021?\nAnswer: 41510.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82519*i**4 - 48691*i wrt i.\nAnswer: 990228*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1453 + 1457. Let i = 31 - 22. Solve 2*t - i = -5*y, -5*y + 21 = 2*t - q*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 - 74. Solve -2 - n = -6*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33765802 and 6496.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 7. Let u be i(3). Put -4, 0.1, u in increasing order.\nAnswer: -4, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23940463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*i - 3*i - 486 = 11*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 9. Let r be d(4). Solve 14 = -r*x + 4*o, x - 2*o = -4*o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49648 and 535?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 3*g**2 - 4*g + 2. Suppose 65 = -l + 68. Let b be x(l). Let y(m) = -m**2 - 9*m + 14. What is the smallest common multiple of 18 and y(b)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 12:52 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**2 - 40 - 3*t**2 - 16*t**3 + t**2. Let a(j) = 26*j**3 + 27*j**3 + 21*j**3 + 8 + j**2 - 71*j**3. Let o(x) = -11*a(x) - 2*m(x). Give o(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12342.8 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 1\/4, -1\/3, 46 in ascending order.\nAnswer: -19, -1\/3, 1\/4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 + 0*l**5 + 3*l**5 + (2 - 2*l**2 - 2)*(-5*l**3 + l**3 + 0*l**3) + (l**4 + 3*l**4 - 3*l**4)*(-2*l - l + l).\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6526*p - 1. Let w(z) = -12*z + 5. Calculate w(o(k)).\nAnswer: 78312*k + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -212 + 242. Suppose -5*i + z = -9*d + 7*d, 4*d - 28 = -i. Solve -12 - i = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, -1\/5, 5, 10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqrrqrqqrrrr. Give prob of picking 4 q.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -216 (base 7) to base 16\nAnswer: -6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 27\/2 of a millisecond?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1903*g**3 - 1244*g**3 + 350*g**3 + (-6*g - 1 + 1)*(g + g**2 - g) - g**3 - g**3 + 3*g**3.\nAnswer: -2802*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 5*a - 15, 12*i = 4*i - a + 45 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*p = 710 + 214 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-120)\/5 + 24 + -1. Let m(l) = 2*l + 1. Let n be m(-1). Let s(y) = -y**2 + 1. Let p(z) = -z**2 + 3*z - 1. Determine c*s(v) + n*p(v).\nAnswer: 2*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 129 and -0.008.\nAnswer: 128.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + -3*(sqrt(132) - 2*sqrt(132) - sqrt(132)) + sqrt(132))\/sqrt(12).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319946?\nAnswer: 2, 11, 14543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 485*d + 9627. Give x(19).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -1)*(11 - 9). Let x(r) = 700001*r + 4. Let f be x(k). What is f rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1113 - 3?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = f + 1, -4*f - 3 + 4 = 3*v. Let d(t) = -5*t**3 - 3*t + f*t**3 + 9*t**2 - 6*t - 3. Calculate the remainder when d(7) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 12:18 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -748.8 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 6*o + 0*o + 20.\nAnswer: 6*o + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(1872) + sqrt(1872) + -2*sqrt(1872))*3 - (-2 + (sqrt(1872) - (-2 + sqrt(1872)*2))) - (0 + 6*(sqrt(1872) + (0 + sqrt(1872))*-6)*6))**2.\nAnswer: -65160*sqrt(13) + 61328817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 516450 and 156813.\nAnswer: 86247150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7044 and 0.3.\nAnswer: -2113.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25306, 50608, 75910, 101212, 126514?\nAnswer: 151816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1444806 and 1313460.\nAnswer: 14448060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0.2. Let a = -0.1 - b. Let f = -27 + 27. What is the second smallest value in 0.5, a, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-840)*35)\/(2\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 1. Let s(m) = -20*m**2 + 42*m. Let n be s(2). Suppose -2*u + 2*l + 0 = n, a*u - l = 10. Is u at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -6. Suppose 4*w + 101 = z*n + w, n - 43 = -w. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35481?\nAnswer: 3, 11827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 14*i - 4. Is x(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3534 and 945345.\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2915124 and 18040967.\nAnswer: 20956091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 = -18. Let o = n + -11. Suppose -13 = 4*f + o. Let m(v) = -v**3 - 4*v**2 + 3*v + 1. What is m(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**4\/24 + 2*s**3\/3 + 4*s**2. Let a be m(0). Let o = 3 + a. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 4:41 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11463126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or 15734168?\nAnswer: 15734168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 6\/(-245)*-1. Let d = 2897\/245 + z. Find the common denominator of -54\/7 and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l = -25*l + 10. Factor -3\/4*w**l - 3*w - 9\/4.\nAnswer: -3*(w + 1)*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 59*m - 366. What is the hundreds digit of j(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1796, 5, 28 in descending order.\nAnswer: 1796, 28, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 288322998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in 0, 0.3, -0.06, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5910706 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 511140 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41443 (base 5) in base 16?\nAnswer: abc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122 - 45. Suppose -9 = -m*u + 74*u. Let t be (-4)\/(-10) + (-2)\/5. Solve -l + u*l = t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fee when three letters picked without replacement from fifiefifefiiiif?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 638118421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101 - 10010001010100011?\nAnswer: -10010001011100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(19)*-1 + (sqrt(1900) - (sqrt(1900) + 1)) + sqrt(114)\/(sqrt(30)\/sqrt(5)*4))**2.\nAnswer: -45*sqrt(19)\/2 + 1939\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - i + 1. Let u be m(1). What is the first derivative of -3*h**u - 3*h**3 - 1 + 3*h**2 wrt h?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.0875123\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 52305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 729 a factor of 10162793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -49 + (-54 - -1) + (0 + 4 - -2)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 8:41 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 120332322 (base 5) in base 2?\nAnswer: 10001000010101111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, x: 1, v: 4, m: 3}. Give prob of sequence bmvx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + y**2 + 0*y**2)*(1 - 1 + 2)*(5*y + 0*y - 2*y).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-4))\/(1\/(-138)). Suppose -2507 = -59*d - 459 + 666. Calculate the greatest common factor of v and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d - 4*d + (1 + 1 + 0)*(d - 2*d - d) + d + 0*d - 2*d + 0*d + 4*d - 2*d - 3*d - 2*d + 2*d)*(-2*d + d**3 + 2*d).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/3)\/((-1)\/3). Suppose 0*i - 583 = -4*i + w*k, 172 = i + 4*k. Suppose 4*s - 220 = -2*l, -i = -5*s - 5*l + 113. List the prime factors of s.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.3, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + 70 = z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -46. Calculate the remainder when 91 is divided by c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2134 + -2152.115. Let t = f + 18. Let y = t - -0.1149894. What is y rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/5, 13, 11?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717974587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7ed61 (base 15) to base 3\nAnswer: -202120001201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 + -86. Find the third derivative of d**2 - 24 - 140*d**y - 133*d**6 + 295*d**6 wrt d.\nAnswer: 2640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 - 2*n**2 + 1. Let b be i(2). Let s = b + -5. Suppose -4 - 3 = -l. Calculate the remainder when l is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1, 0.095, 0?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8586 - 8590. Which is the second smallest value? (a) -1.4 (b) l (c) -1\/5 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253351?\nAnswer: 11, 29, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*q**6 + 8*q**5 + 5*q**4 - 2*q**2 - 2*q + 6380 wrt q.\nAnswer: -2880*q**3 + 480*q**2 + 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7\/(-2)*(-44)\/77?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.098 + -0.112. Let f = -1.88 - u. Let p = f - -0.66999828. Round p to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -9 (c) 1 (d) 0 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/66 - 1\/2. Let c be -2*3\/36*-6. What is the second biggest value in w, -2\/15, c?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 45 + 1 + 7 + -163 + 180.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -27 (b) -5 (c) 3\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 + 6*t**3 - 6*t + 2*t**3 + 10*t**4 - 2*t**3 + 16*t. Let a(n) = n**4 + n**3 + n. Let i(u) = -8*a(u) + w(u). Factor i(h).\nAnswer: 2*h*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1371 divide 2681676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fru when three letters picked without replacement from rudfjrr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000874519432 rounded to 7 decimal places?\nAnswer: 0.0000875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 213536.2ml in litres?\nAnswer: 213.5362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-2)*24\/4. Is 2 + (-23637)\/m - 12\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162763?\nAnswer: 37, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 5:51 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**2 - 13*j + 13. Let a(x) = -x**2 - 3*x + 3. Let y(i) = 26*a(i) - 6*k(i). Let m(q) = -q - q**2 + q. Give m(y(o)).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8448753 kilometers to centimeters.\nAnswer: 84487.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*6162.\nAnswer: 616.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 163389*t. Let j(n) = 3*n + 5. Give d(j(z)).\nAnswer: 490167*z + 816945","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 50 - 214 = 0. Let y(d) = -2*d**2 + d**2 - 1 + 54*d - h*d. List the prime factors of y(7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 15 - 60. What is the remainder when 26 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1833 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2 and 491\/(-84) + (-12)\/(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42092842 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -332 - -433?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 35 + 97 = h + 37 + 29, -13*d = h + 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -27. Let n(i) = -3*i**2 - 12*i - i**3 + 34*i - 19*i. Give n(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 31988696?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*l**5 + 4*l**5 + 7*l**5 + (1 + 2*l**2 - 1)*(-2*l**3 - 2 + 2) - 3*l**5 - 24*l**4 - 2*l**2 + 22*l**4 + l**2 - 3*l.\nAnswer: -10*l**5 - 2*l**4 - l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 0*u**3 - 8*u**3 - 7*u**3 + 4 + 2*u**2 + 0*u**2 + 14*u**3. Determine n(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22162358 is divided by 963580.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -2216\nAnswer: -19\/2216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2084749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2735, 10574, 23521, 41576, 64739?\nAnswer: 93010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6771 (base 8) to base 15\nAnswer: -10d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-77 + 53)*1\/(-3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4589*g + 182 + 955 + 4571*g.\nAnswer: -18*g + 1137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 110?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - 3 - (29 - (26 + 29))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 > 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -10 + 7*l**2 + 8*l + 3*l - l - l**3. Let o be z(8). Let u = 12 - o. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 4747185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1111232 - -12122?\nAnswer: 1130020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4, 83*d = 5*i + 82*d - 3352. Calculate the remainder when 672 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15608406, -31216811, -46825216, -62433621?\n\"Answer: -15608405*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3\/19 + 146*f**2\/19 + 144*f\/19 = 0?\nAnswer: -72, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 9*r - 218. Let a be b(-20). Let p(z) = -20*z + 13. Give p(a).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 b when four letters picked without replacement from gbgtbggtt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 4*b**7\/315 + b**6\/360 - b**5\/120 - b**4\/24 - b**2. Let q(m) be the second derivative of u(m). Is 11 a factor of q(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.158 + 106.158. Let j = -111 + h. What is the biggest value in 5, 4, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - n - 2*n. Suppose h = 3*m + 1 - 3, 0 = 3*h + 5*m - 22. Suppose -2*g = w + 11, 3*w - 3 = 2*g + h. What is a(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.4.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7919604 a multiple of 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*k - 2*k - 2 + 2 + 9*k - 17 + 17 + (0 - 1 + 2)*(-4*k + k + 4*k) + 3*k - 2*k - 3*k + (-1 + 1 - 2*k)*(-2 - 2 + 3).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q + 44. Let i = -9 - -17. What is the lowest common multiple of r(i) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106977.\nAnswer: 3, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)\/sqrt(432))\/sqrt(2) - (sqrt(1100) + -1)*-4)**2.\nAnswer: -964*sqrt(11)\/3 + 639467\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqkqqqqqqqqqq. What is prob of sequence kqq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 2*b**2 - 3*b + 1. Let n(q) = -q**3 + 7*q**2 + 0*q**3 - 10*q + 2*q**2 - 6*q. Let k be n(6). Let r = k + -10. What is g(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4604*a - 2 = p + p - 4605*a, -4 = a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, t: 2, r: 2, a: 1, d: 4}. What is prob of sequence dtt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.11, -3\/317, -2\/9 in ascending order.\nAnswer: -2\/9, -3\/317, 0.11, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 + -30. What is the remainder when q is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 63 + 884*j**3 + 714*j**3 + 506 - 1951*j**3 wrt j?\nAnswer: -1059*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2880, 2871, 2850, 2811, 2748, 2655, 2526?\nAnswer: 2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (20 - 12)) + 26 - 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*f = 6258 - 5142 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/38)\/((-10)\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -39*x**5\/5 - x**4\/4 - 481*x**2 - 1185*x - 2. What is the first derivative of h(q) wrt q?\nAnswer: -468*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 39. Suppose -2*u = 3*u - 20. Suppose 0 = -4*a + h + b, 0*h = -5*a + u*h + 41. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6384)\/(-258628) - 30\/(-1245)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70450123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 12, 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 27*n + 12. What is y(20)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z + 3*z**2 - 2*z**2 - 3*z - 2*z. Let b(i) = -i**2 + 6*i - 4. Let a be b(4). Let w be l(a). Solve 8*c = w*c + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**3 + 0*a**3 + 0*a**3)*(-9*a - a - 268 + 269) as l*a**3 + z*a**4 + p*a + u*a**2 + k and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 7. Suppose -4 + 12 = -p*j - 4*z, -5*z = j + 10. Factor -2\/7*q + j + 2\/7*q**2.\nAnswer: 2*q*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/12 + 221\/(-39)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -33. Let f be (2 - -4)*5\/(-2). Which is smaller: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.692, -2210, 5, -0.4, 1.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0869 - 0.0869. What is the closest to 2 in m, 1\/17, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q - 27. Let n be p(-9). Suppose 0 = y + 4*f - n - 13, 3*y = 5*f + 42. Calculate the remainder when 75 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {l: 2, r: 3, v: 13}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.3, 3\/4, -3\/7, -317 in decreasing order.\nAnswer: 3, 3\/4, 0.3, -3\/7, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*h - 72*h = -j + 110215, h + 2*j - 27552 = 0. What are the prime factors of h?\nAnswer: 2, 23, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-30))\/(1\/3). Let s = 8.18 - 0.18. Let a = s + -8. Put g, -2\/9, a in ascending order.\nAnswer: g, -2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67333.\nAnswer: 7, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*z + 7*z + 8*z**4 - 2 + 75*z**4 + 335*z**4 wrt z?\nAnswer: 5016*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrr when three letters picked without replacement from rffzzfzfrzf.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 360896780 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09 or 43?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0228 + -3.5328. Let p = z - -3.5099647. What is p rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3485431?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -274, -0.3, 1\/12, -14\/13 in descending order.\nAnswer: 5, 1\/12, -0.3, -14\/13, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v. Suppose 11 + 1 = 2*h. Suppose 0 = 3*a + p - 20, -4*p = 3*a - 49 + 14. Let f(u) = a*u - 14*u + h*u. Determine f(r(o)).\nAnswer: 33*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -14361.64 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9, 22, 0.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 10. Find the third derivative of 11*z**2 + 0*z + 121*z**f - 123*z**6 + 0*z wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 85861, 86697, 88089, 90037, 92541, 95601?\n\"Answer: 278*r**2 + 2*r + 85581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4480166?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 - 2*r**3 + 1653*r**2 - 2*r**3 + 17*r**3 - 1662*r**2.\nAnswer: 16*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53061)\/769)\/((24\/60)\/(4\/15))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 1. Let g(y) = -y + 3. Let o be g(4). Let k(d) be the first derivative of 2*d**2 + 1. Suppose -2*s - s - 6 = 0. What is o*k(n) + s*b(n)?\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m + 15. Determine o(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = p + 2*g - 0, -2*g = -4. What is the third derivative of -2*f**3 - p*f**2 + 0*f**3 + f**2 wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 a when three letters picked without replacement from zzczwwzcwczawmzc?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 - 80*s**2 + 27*s.\nAnswer: -s*(s + 27)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118327 + -118408. Suppose u - 156 = 3*u. Which is smaller: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**2 - 65*i**2 + 32*i**2 + 39*i**2 + 116*i as r*i**2 + p*i + m and give p.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a minute in seconds?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 at most as big as -1\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 + 5*u**2 - 9*u - 3. Let o(m) = -m**2 + m + 1. Give -n(r) - 5*o(r).\nAnswer: 2*r**3 + 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*i**2 + 60*i**2 - 69*i**2.\nAnswer: 54*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllll. What is prob of sequence lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 11*h - 68. Suppose 0 = -7*i + 4*i + 318. Let g = 185 - i. Calculate the remainder when g is divided by x(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {j: 3, y: 5, b: 1, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-5))\/(-19*(-13)\/1235).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076723083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 27*y + 6924. Calculate u(-261).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30803 - -30953. Calculate the remainder when 443 is divided by m.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**6\/360 + 49*k**4\/12 + 42*k. Let q(u) be the third derivative of b(u). Let c(p) = 6*p. What is c(q(z))?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = 12. Let c = 277 + -2233\/8. What is the common denominator of 2\/4 + -1 + r and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14359 + 14361. Which is the fifth biggest value? (a) 0.3 (b) 0.1 (c) -1\/14 (d) v (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 124, 131, 154, 199, 272, 379, 526?\nAnswer: 719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/110*-11)\/((-1468)\/13946).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 861278261 and 9.\nAnswer: 7751504349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50*q - 3280 + 3280)*(-4 + 2 + 5)*(-18 - 16 - 22) to the form d*q + a and give d.\nAnswer: -8400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/(14\/(-42))*(-868)\/279?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -61, -5375\/42?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -23*d**5 + 27*d**2 + 6*d + 6. Let b(l) = -46*l**5 + 54*l**2 + 13*l + 13. Let s(z) = 6*b(z) - 13*q(z). What is the third derivative of s(i) wrt i?\nAnswer: 1380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-1) + 0)\/1. Let p be 2\/12*7\/35*-5. What is the biggest value in r, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 786284 to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 19*f**2 - 169. List the prime factors of o(-20).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x - 5268 = 376*x + 444 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 613 + -610 - (2 + -4 - 7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c = 49*c - 29*c + 490. Suppose 2*o + 5*k = 95, -5*k + 40 = o - 4*k. Calculate the greatest common divisor of c and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - y**2 - y - 1. Let h(b) = -5*b**3 + 4*b**2 + 6*b + 9. Let l(c) = -9*c**3 + 7*c**2 + 12*c + 18. Let f(n) = 5*h(n) - 2*l(n). Give f(u) + 6*w(u).\nAnswer: -u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7041752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*x**2 + 8*x - 33*x**3 - 175*x**2 - 281*x**2.\nAnswer: -33*x**3 - 714*x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 17*f**2 - 7*f - 14. Let v be h(-10). Suppose -o + 5*g = -v, 4*g - 1500 = -2*o + 2*g. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 42093.3 decades?\nAnswer: 5051196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105338, 210623, 315852, 421025, 526142, 631203, 736208?\nAnswer: 841157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20717, 20719, 20723, 20729?\nAnswer: 20737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 plus -9227?\nAnswer: -9237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 24 - 43. Suppose 0 = -b + 6*b - 20. Solve u + c = -4*j, -5*u + 11 - 42 = b*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - c + 1. Let x(n) = n**2 - 13*n - 19. Let i(j) = -2*r(j) - x(j). Let m be i(-14). Solve 0 = -m*l - 4*q + 1, -3*l + 3*q = -4*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 310*g**3*v**2 + 2*g**3 + 138*g**2*v wrt v?\nAnswer: 620*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -1\/260?\nAnswer: -1\/260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -36, -52481 in descending order.\nAnswer: 3, -36, -52481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*s - 3*s - 310, a - 56 = s. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -5*o + 1\/8*o**4 + 0 + 3\/40*o**5 - 1\/4*o**3 - 3\/4*o**2. Suppose a(n) = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + c - 1 = 19, -v + 3*c + 4 = 0. Suppose -o - 8 = -v*f, 0 = o - f + 2*f + 33. Let p = o - -33. Solve -4 - 1 = -p*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 4) to base 16\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6077 by 36615.\nAnswer: -6077\/36615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/5)*x**(-1\/2)*(x**(-2\/5))**(-13)*(x\/(x**2\/x*x))**(-14)\/(x**(-1\/2)\/x**(-6)) assuming x is positive.\nAnswer: x**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 14*n + 4*n. Solve -k + 4*k - 18 = 3*b, -4*b - 2*k - 18 = n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -996*c - 3991. What is d(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*((-2193)\/(-9) - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3538813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 207152 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-102 - -67 - 3) + 165\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21622389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 b when four letters picked without replacement from {s: 7, b: 10, k: 2, n: 1}.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1235677.\nAnswer: -3\/1235677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1286?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*a - 3*c, 4*a + 3*c = -c + 8. Suppose 2*t - 10 = -3*t. Suppose -16 = 4*d, a*j - t*d - 30 - 16 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - 44*p - 118. Let m be x(-3). Sort 4, -3, m, 7 in descending order.\nAnswer: 7, 4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**2 - 12*r + 19. Is s(2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*b - 441, 4*b - 4*z - 271 = b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 q, and 1 x when four letters picked without replacement from {k: 1, r: 1, a: 2, o: 2, q: 1, x: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -3, -60?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 3*f**2 + 0*f**2 - 2*f**2 + 2*f**2 + 2*f**2 + (-1 + 1 - 1)*(-4*f**2 + f**2 + 2*f**2) + 2*f**2 - 4*f**2 + 4*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17612548 or 13?\nAnswer: 17612548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 u when three letters picked without replacement from {u: 2, a: 1, l: 2, k: 1, x: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*c + 3. Which is smaller: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a6a + 2?\nAnswer: 1a6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*t + 3*t. Does 3 divide (-507)\/(-52) - 2\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 757898842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/3, 0.3, -2, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 774083 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/(-3) + (-2)\/6. Let k be (-11 + h)*(-6)\/(-4). Calculate the remainder when 6 is divided by 26\/6 - 1\/k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*r**5 - 2*r**4 + 3*r?\nAnswer: -720*r**3 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1005442*w**3 - 4*w**2 - 4*w + 9. Let q be a(5). Suppose -17*z + 100249861 = -q. What is z rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((4 + 11)\/(-5))\/(-1). Let r(p) = -p. Let g(l) = -6*l + 1. Let m be (-3 - (0 + -4))\/(-1). What is j*r(o) + m*g(o)?\nAnswer: 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63228 and 60676?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**2 + 4*i + 2. Suppose -45*a = -4*f - 44*a + 52, -4*f = a - 52. Calculate the remainder when q(-2) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -11. What is the lowest common multiple of 14 and (4 + 2)\/(-2) + a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -480\/1813 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 5*i + 2. Let m be p(-5). Suppose -7*n + m*n - 15 = 0, 4*k = 2*n - 30. Let f = -3 - k. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17, -55, 5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2015600 rounded to the nearest ten thousand?\nAnswer: 2020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 1854*a**2 - 11096*a - 14784.\nAnswer: -(a + 2)*(a + 4)*(a + 1848)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 - -79. Let k = g + -2.5. Let x = k + -13.499889. What is x rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 2*j = -28*x + 876557, 0 = -5*j + 30. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.52448cm to millimeters.\nAnswer: 855.2448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 2*r. Let i(f) be the second derivative of f**4\/2 + 5*f**3\/6 - 56*f. Let j(w) = -5*g(w) - 2*i(w). Let s(a) = 53*a. Calculate s(j(p)).\nAnswer: -106*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + b762a7?\nAnswer: b762a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 4*v + 24, -50*c - 4*v = -53*c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o**2 + 43*o - 43. Calculate x(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, 3, 0, 2 in ascending order.\nAnswer: -10, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 609307750 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 346621935 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/20)\/((-27495)\/(-15275))\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**8\/420 - a**5\/20 + 5*a**3\/3 + 4. Let f(n) be the third derivative of z(n). Find the second derivative of f(j) wrt j.\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17136\/8784 - (1 + 1). Let i(g) = -g**2 + 6*g - 1. Let z be i(6). Are z and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94075480 and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230*q**6 + 173*q**3 + q**2 + 538*q + 13 wrt q?\nAnswer: 27600*q**3 + 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -j - 2, 0 = 3*k + k + j + 2. Suppose k*n + 2*s - 8 = -4*n, -10 = -5*n - 3*s. Let p(o) = 10*o**2 - 2*o. What is p(n)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + 5. Let m(q) = 731*q**2. What is c(m(u))?\nAnswer: -1068722*u**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -13. Let k(v) = v**2 + v - 2. Let u be k(c). What is the third derivative of u*y - 10*y**2 + 3*y**3 + 0*y + 5*y**2 wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 10482549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (0 + 0 + 0 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 - 3970*z - 7940. Give v(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23635290 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n*n*((n*n*n*n**(2\/9))\/n)\/n*n*n*n)\/n*n*n)\/n)\/(n\/(n*n*n\/(n**(-1\/6)*n))))**(1\/40)\/(n**4\/n**31) assuming n is positive.\nAnswer: n**(19591\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is -294703544 divided by 4?\nAnswer: -73675886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2\/l*l)\/(l**4*l*l))\/(l**(-1\/4))**48 assuming l is positive.\nAnswer: l**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjbmxmjjjrmpbjjbjbmx. Give prob of picking 3 b and 1 x.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.076 * -0.03\nAnswer: -0.00228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3914 = -668*x + 2766 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 2*o**6\/15 + 9*o**5\/5 + 3*o**4 - 170*o**3\/3 - 300*o**2 + 193*o - 2. Suppose p(x) = 0. Calculate x.\nAnswer: -5, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9\/2 (b) 15 (c) -5 (d) -3 (e) -1651\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 94921 plus 1.3388?\nAnswer: 94922.3388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3441)\/(-4) + (-154)\/616. Calculate the greatest common divisor of c and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 510*i + 84 = 514*i. Let v be 6\/i + 0 + (-6)\/21. Solve 5*w + v = 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -25. Find the common denominator of ((-29)\/2)\/((-12)\/m) and 89\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 8 + 2. Let d(w) = 3*w**2 + 3*w - 5. Let h be d(r). Suppose -n - n - h = 3*j, 3*n = 2*j + 13. Solve n = a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (4 - 4 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -2095?\nAnswer: 2099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, -15, -51, -113, -207, -339, -515?\n\"Answer: -v**3 - 4*v**2 + 3*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 1)*(56*z + 33*z - 4*z - 11*z).\nAnswer: -222*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2181 + 2181 - 56*u**2 in the form y*u + x*u**2 + m and give x.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9*3*(-1)\/9. Suppose -v + p*v - 12 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 346138*w + 346217*w)*(-w + 0*w + 17*w + 0*w + 3*w - 2*w + 0*w + w - 2*w + (-1 + 1 + w)*(-1 - 1 + 0) - w + 2 - 2 - 2*w + 0*w + 3*w).\nAnswer: 1106*w**2 + 42*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*t**3 - 17\/2*t**4 + 95\/2*t - 1\/2*t**5 + 175\/2 - 79*t**2 = 0 for t.\nAnswer: -7, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 659?\nAnswer: -1977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7517560201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6)*-3)\/((-5)\/(-170)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o + 104. Let n be g(5). Suppose 0 = 22*z - 23*z + n. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*u + 6, u + 10 = -u. Let k(z) = -z**3 + 91*z + 5 - 42*z - 44*z. List the prime factors of k(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/(-40) + (-3)\/5. Suppose -339 = -c*g - 3*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*s**3 - 4*s**2 - 3 + 4 - 50*s**3 + 2*s**4 to r*s**4 + l*s**2 + j*s + x + w*s**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 10*q**3 - 11*q**3 + 8*q**2 - 655*q - 2 + 656*q. Let v be 1\/(-2) + 54\/12. Determine h(v).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + z - 3*z)*(4*z - 7*z - 4*z + (z + 2 - 2)*(0 + 0 - 2)).\nAnswer: 45*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53\/9 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1171a1bb + -1?\nAnswer: -1171a1bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 8:57 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11760, 20073, 28386, 36699?\nAnswer: 45012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5892849749868 - -0.3\nAnswer: -5892849749867.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005258 rounded to seven dps?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 18. Give h(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*h - 53 = -4*b, -3*b + 3*h = -111. Let c be (-24)\/(-204) + 12236\/b. Calculate the greatest common divisor of 90 and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by -4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -165108*y**2. Let x(a) = 587*a**2. Give z(x(m)).\nAnswer: -56891098452*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2823, -2821, -2817, -2811, -2803, -2793, -2781?\n\"Answer: w**2 - w - 2823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003299179331 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -3 + 163 + -184.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**5 + f**5 + 2*f**5 + (7 + 4 - 10)*(2*f**2 - 2*f**2 + 2*f**2)*(-f**3 - 8*f**2 - f + 8*f**2) + f**5 + f**5 + f**5.\nAnswer: 4*f**5 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17654, -67803, -150436, -265547, -413130?\n\"Answer: u**3 - 16248*u**2 - 1412*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 18*j + 29. Let x be u(-17). Let d = x - 6. What is the remainder when (-1)\/(-8) - 2277\/(-88) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 145131 and 2709?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6*(-1)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, -4, -17, -32, -49?\n\"Answer: -f**2 - 8*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33471 - 33471.000027726. Round t to seven decimal places.\nAnswer: -0.0000277","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**6\/40 - p**4\/6 + 65*p**3\/6 + p**2. What is the first derivative of b(u) wrt u?\nAnswer: -9*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011000 + -1111?\nAnswer: -100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40057.953 - 1?\nAnswer: 40056.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -122112 (base 7) in base 4?\nAnswer: -11131101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 6. Let t be (-1)\/(-2)*(0 + u). Suppose -k + 4*r = -18, t*r = 4*r + 12. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2719 - 4156 + 838*y - 186 - 1195*y - 3990*y wrt y.\nAnswer: -4347","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374365999?\nAnswer: 7, 53480857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1811.994 rounded to the nearest 10?\nAnswer: -1810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -34*b**2 - 2. Let r(g) = 278*g. Determine r(j(u)).\nAnswer: -9452*u**2 - 556","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 1) + (-2004 - -2027)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-23)\/(-5) + (-1)\/((-40)\/16). Suppose s*v + 992 = -11*v. Let l = v + 120. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21645 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*x + 1 + 4 - 3)*(-12*x + 13*x - 9*x).\nAnswer: -152*x**2 - 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14286367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-1147)*715852\/57730\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from ffffpffpfpffffpffp.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 225, 407, 697, 1101, 1625, 2275?\n\"Answer: v**3 + 48*v**2 + 31*v + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 455409 by 151803.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 521, 523, 525, 527, 529?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 29*m - 24*m + 25, -3*d = -5*m - 49. Determine q, given that -4\/5*q**2 - q - 2\/5 - 1\/5*q**d = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156287 take away -8?\nAnswer: -156279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -189, -610, -1013, -1152, -781, 346?\n\"Answer: 41*h**3 - 237*h**2 + 3*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*38\/20 + (24 - 20). Let l(t) be the first derivative of x*t**5 + 1\/2*t**4 - 10 - 2\/3*t**3 - 1\/6*t**6 - 1\/2*t**2 + t. Factor l(w).\nAnswer: -(w - 1)**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -22) + -72 + 113 + -103?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 35, 0.3, -13, 3\/226, -2\/7, -2\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 774 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3))**(-14\/3)\/((m**0\/m)\/m)**(-2\/31))**9 assuming m is positive.\nAnswer: m**(3870\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, 1.06, -6 in ascending order.\nAnswer: -6, -1.3, 1.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 29. Let h = 0.0003 - -0.1997. Put v, 5, -5, h in descending order.\nAnswer: v, 5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a + 3*a**2 + 7*a - a + 43*a.\nAnswer: 3*a**2 + 76*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -13*93\/(-6) - 11\/(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x + 22. Let u be k(3). Suppose 4*j - 1133 = -u*j. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7)*35\/75. What is the smallest value in 2\/5, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39734 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-1)*12\/9. Let q(z) = 2*z**2 - z**2 + 5 + 13*z - 4*z + l. Let h(c) = -2*c - 2. Let m(y) = -9*h(y) - 2*q(y). Let g(o) = -2*o**2. Give m(g(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.3 + -11. What is the closest to -1 in 2\/15, -1\/5, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -431 - 880351796.62\nAnswer: -880352227.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -71 + (5 - -43)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**6\/15 - 8*r**5\/25 - r**4\/10 + 8*r**3\/15 + 166. Find i, given that t(i) = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 5*k, 4*k = -2*y + 53 - 55 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/16 and -117\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/155550 or -45?\nAnswer: 1\/155550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0092 + 3990085720\nAnswer: 3990085719.9908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 2*r**3 - r**3)*(-5 + 5 + 2*r**2) - 18*r**5 - 37*r**5 + 378*r**5.\nAnswer: 327*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 1:17 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*l = -30, 350*r - 36 = 345*r + l. What is the remainder when 31 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 23*t = -6, 0*m + 2*m = 2*m + 5*t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 4. Let u be f(-5). Let z = -3 + u. Suppose 0*n - 4*n = 4. Which is greater: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*(-8)\/4*1. Calculate the remainder when 2 is divided by (-4)\/(-30)*u*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 10 - 10. Let x = 10 - d. Suppose x*o = -2*y + 14, -5*o + 35 = 5*y - o. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/4 and 27\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 205 = -4*w. List the prime factors of w.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 1 + (-225)\/40 + 2. What is the smallest value in -2, t, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i**2 + i**3 + 19*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 145*t**2 + 718*t - 2452. Give b(140).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14137 + -5232. What are the prime factors of a?\nAnswer: 5, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(10\/9))\/a)**(-4)\/(a**(-7)*a**(-17)) assuming a is positive.\nAnswer: a**(256\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 1\/120*i**7 - 3\/80*i**5 + 0*i + 1\/12*i**3 + 0 + 1\/96*i**6 - 5\/96*i**4 - 4*i**2. Factor f(d).\nAnswer: (d - 1)*(d + 1)**2*(7*d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 44*j**3 - 14*j**2 - 14*j. Let z(p) = 15*p**3 - 5*p**2 - 5*p. Calculate 5*d(q) - 14*z(q).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*p + 104*p + 376 = 55*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(132\/(-48))\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 320*r*y**2 - 16*r*y + 401*r + 9684*y**2 - 1108774 wrt y.\nAnswer: 640*r*y - 16*r + 19368*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*s - 64 = 29 - 357 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (7\/15)\/((-4849390)\/94900)\nAnswer: -2\/219","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*(-29)\/((-319)\/55)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -138\/1718035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 827102 divided by 266\nAnswer: 413551\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1618258, 3236464, 4854670, 6472876, 8091082?\nAnswer: 9709288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 507963.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-223 - -229)*(-34)\/12.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {c: 1, b: 5, t: 1, k: 2, w: 1, r: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s - 213780. Let i = -196890 - s. What is i rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/108 and (-445)\/885 + 1 + (-1)\/3?\nAnswer: 6372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72097596355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(-13)\/((-130)\/75).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/3091 + 15487\/49456. What is the common denominator of (1\/(12\/1602))\/21*5\/(-10) and u?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(119) - ((-2*sqrt(119)*-2 - sqrt(119)) + sqrt(119)))\/(sqrt(7) - sqrt(84)\/sqrt(3)) + -5).\nAnswer: -12*sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22a + -2?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 10:18 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxk when three letters picked without replacement from {k: 1, x: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 3\/4, 3, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-3)\/18*(-5 - -11). Calculate the common denominator of 1\/4 - 154\/(-40) and (28\/(-20) + 1)\/(t\/5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(117)*1 - sqrt(117))*2)\/(2*sqrt(225)*-1).\nAnswer: -3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(13\/2 + -76*174\/(-4408)).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 2*b**2 + 5*b - 7. Let h(n) = n**3 + 12*n**2 - 11*n + 29. Let r be h(-13). What are the prime factors of a(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 + 2 - 59*w + 35*w**3 - 16*w**3 + 2*w**2 + 166*w - 17*w**3 to the form f*w**3 + p*w + u + o*w**2 and give p.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5773353, -5773351, -5773349, -5773347?\n\"Answer: 2*t - 5773355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15588841 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -3 + (4 - (3 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 7*g + 5 - 3 + 2.\nAnswer: 7*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 54*x**2 + x - 2. What is the hundreds digit of d(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 2*v**5 - 17*v**3\/3 - 11*v. What is the second derivative of b(q) wrt q?\nAnswer: 240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(200)\/sqrt(4))\/((sqrt(50)*1)\/sqrt(5) + sqrt(10)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -25.4 and -2475.7.\nAnswer: -2501.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 2*z**2 + 2*z - 1. Let j(d) = -d**3 - 8*d**2 - 8*d - 3. Let s be j(-7). Suppose 9*l + 10 = s*l. What are the prime factors of w(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3759 and 189?\nAnswer: 33831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + -94 + (34 - 2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8590223?\nAnswer: 19, 59, 79, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*d + 59 - 59 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/243084 and 145\/486168?\nAnswer: 486168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 2*i + 30. Let l(f) = 9*f**3 + 35*f**2 + 14*f + 5. Let t be l(-3). Solve i*r = 11 - t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.6 (b) -4 (c) 7 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 552 (base 8) to base 2\nAnswer: 101101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m = -12 + 84 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10290 or 527?\nAnswer: 10290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.0104 + 1.9896. Let q be (3\/(-9))\/((-10)\/(-12)). What is the nearest to a in 5, q, -5\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (4 - (4 + -4 - 6 - -10)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 20 = 5*o + 67, 3*x - 35 = 11*o + 30 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12174635 divided by -2465?\nAnswer: 4939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**3 - 46990*s**2 - 282075*s - 423180 = 0. Calculate s.\nAnswer: -3, 9404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 123 - -55?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 - 35. Calculate the remainder when u is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccmccmmmmcmmccc. Give prob of sequence mmc.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -9. Let r = 4 + z. Let y(g) = -g + 2*g + 3*g**2 - 6*g**2 + r*g**2. What is y(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*c**5 - 890*c**4 + 35575*c**3 + 627960*c**2 + 1382940*c - 486000 = 0 for c.\nAnswer: -18, -3, 4\/13, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 + -25. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/sqrt(252) - sqrt(114)\/(sqrt(12)\/sqrt(2)).\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32129*r**3 - 2*r**2 - 4416*r.\nAnswer: 192774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7*b + 11*b - 322 = 0, -2*n = -3*b - 336. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1118428.668ns to weeks.\nAnswer: 0.00000000184925375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 377*a - 16*a**2 - 755*a - a**2 + 378*a - 39 as v*a**2 + s + i*a and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19550 and 920.\nAnswer: 78200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*2\/(-28) + -2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3\/9 + 16*i**2\/3 + 68*i\/9 - 40.\nAnswer: 4*(i - 2)*(i + 5)*(i + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is de2c6 - -37?\nAnswer: de30d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -9*u**2 - 6*u + 24. Let s(l) = 10*l**2 + 5*l - 23. Let m(k) = -6*s(k) - 5*z(k). What is the derivative of m(r) wrt r?\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k + 0*k)*(11*k - 13*k - 6*k).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (9 + -7 - (2 + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 185929319\nAnswer: 74371727.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3964 and 849287?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-5) - (-1458)\/45. Suppose -g + o = -103. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -5*z**6\/6 + 11*z**5 - 105*z**4\/2 + 340*z**3\/3 - 100*z**2 + 1051. Suppose l(a) = 0. What is a?\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*c**2 - c**2 - 636*c**2.\nAnswer: -531*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34337562 and 1281.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 20*l**2 + 22*l - 35. List the prime factors of a(-17).\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 12. Let j be w(0). Let i(g) = j*g**2 - 7*g**2 - 3*g**2. Let z(r) = -4*r. Determine z(i(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(q - 3*q + 4*q) + (4 - 6 + 0)*(-18*q - 19*q + 0*q).\nAnswer: 78*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 2*i**2 + 2*i + 2. Let w be j(2). Let d(l) = -l**2 + 3*l + 15. Let r be d(w). Let z(q) = 9*q**2 + 6*q - 3. What is the units digit of z(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, t: 6, p: 1, m: 1, r: 3}. Give prob of sequence pht.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20222 - -12?\nAnswer: -20210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, u: 6, y: 1, z: 1}. Give prob of sequence uyu.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - u. Let l(t) = -t**2. Let j(a) = f(a) - 4*l(a). Suppose 4*q = 2*v + 12, q - 2 = 5*v - 8. What is j(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95178521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33666 and 18824.\nAnswer: 1750632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(1280\/(-850)) - -11.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 - 20 + 20.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6848 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.47 + 0.47. Let t = -0.04 - -4.04. What is the closest to j in t, -3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/5 + 11*r**3\/5 - 7*r**2\/5 - 6*r\/5.\nAnswer: r*(r - 1)*(r + 6)*(2*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 7*x**2 + 3. Let t(c) = c**3 + 6*c**2 + 3. Let i(s) = -6*k(s) + 7*t(s). What is i(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3742450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-9 + 33 - g + 3*g).\nAnswer: -4*g - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3\/3 + 18016*a**2\/3 + 40840922*a\/3 + 403022420 = 0 for a.\nAnswer: -4489, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -11*i - 28. Let p be h(-3). Let k = 41 + -12. Suppose -5*l + k = 3*m, -4*l = -5*m - 7*l + 27. Solve n - 28 = -m*n - 4*b, n = -p*b + 23 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20834207945 minus -24?\nAnswer: -20834207921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 87\/(-15) + 3\/(-15). Let q = 7 + g. Let m = q + -1. Solve m = 2*v + 3*r - 19, v + 0*r - 12 = -2*r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668929 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -11*u**5\/5 + 9*u + 4. Differentiate l(k) with respect to k.\nAnswer: -44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7425, -7477, -7563, -7683, -7837, -8025, -8247?\nAnswer: -8503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -77676 less than or equal to -77673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i - 13. List the prime factors of n(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 - 91 + 91.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3462560)\/(-4332))\/20 + -40 - 1040\/(-399).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 67. Solve h - 11 = 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*p + 2*q, -5*q + 0*q - 15 = p. Solve -2*x + 0*x = p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwe when three letters picked without replacement from eeeeeeewwpaeepee?\nAnswer: 11\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(4\/5)*j)\/j)\/(j*j**24))\/(j**16)**27 assuming j is positive.\nAnswer: j**(-2281\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 12 = -0*o - 3*o, 0 = j. Let k be (-4 - -4)\/(8\/o). Solve k = -4*u + 35 - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.05 (b) -104 (c) 0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -8*y. Suppose y = -j - 4*j + 35. Find the third derivative of -5*o - j*o**2 + 5*o + 5*o**2 + 5*o**6 wrt o.\nAnswer: 600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47421267863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 54*q**2 + 108*q + 15. Calculate g(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r = 23*f + 1267 - 1314, 3*r - 4*f + 10 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100010001111 (base 2) to base 8.\nAnswer: -24217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/620)\/(-2*(-1)\/(-5))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/12)\/((o**11\/o*o)\/o))**(-18)*((o\/(o*o*o**(-6)*o*o))\/o)\/o*o**8*o**(-1\/2)\/(o**(1\/6)*o) assuming o is positive.\nAnswer: o**(1115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241208107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*64.\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 6 - 10) + 13 + 22 + -39?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 329 - 134?\nAnswer: 1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 10) in base 12?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13790868 divided by -88403\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11133*y - 97479584*y**2 - 11133*y + 97479586*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 - 203762536*s\/3 + 5189896384643912\/3.\nAnswer: 2*(s - 50940634)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 + -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbymbay. What is prob of picking 1 m and 1 y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -14 - -10)*1*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 112\/(-70)*(-10)\/4. Suppose 3*q = -4*o + 131, -125 = -i*o - 9*q + 4*q. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxgx when four letters picked without replacement from ggxggxxxgxxxxxggxgg.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -37. Let q(t) = 2*t - 1. Determine q(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -96*u**2 - 76*u - 1. Give x(1).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55766 is divided by 487?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 3 (c) -313 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 10:19 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o. Let p(d) = d**2 - 5*d - 1. Let w be p(6). Suppose 22*s + 75 - 184 = -65. Let x(k) = -4*k + s*k + 12*k + w*k. Give x(r(a)).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g - 246 - 238 - 243 + 974 - 239.\nAnswer: 14*g + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15665537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4*u**3 - 3*u**3 - 4*u**3 + 4*u + 5*u**3 to the form m*u**2 + o*u + w + s*u**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 10:30 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 2*x + 1. What is y(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 10*d + 6. Let q be z(-10). Suppose -3*u + 2*l = -q, -3*u - 3*l + 4 = -u. Suppose u*m - 36 = -0*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -43*t**2 + 32*t + 13. Let c be o(-2). Which is greater: c or -214?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102769.\nAnswer: 102769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -490*i**5*j*z + 4*i**3*z + i**2*j*z - 3*i**2*z - 3*i**2 + 428*i*z wrt i?\nAnswer: -29400*i**2*j*z + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 67 - 18 - 35 + 3*v**2 + 2*v**2 + 4*v**2 in the form t*v**2 + f + u*v and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*y - 82*y - 2*u = 18, -3*y - 3*u - 9 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 513 and 162.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 5:45 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 3:20 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1.5. Let y(k) = 22*k**2 - 249*k + 7. Let j be y(21). Let x be (j\/390)\/14 + (-4)\/26. What is the nearest to 1 in m, x, -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - d + 6. Let k be c(0). Suppose 0 = 5*f + 4*o - 33, k*f - 4*f - 18 = -4*o. Find the third derivative of f + 8*u**5 + 0 - 4*u**2 - 5 wrt u.\nAnswer: 480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4962 + 4930 + 4685 - 15014 + 11*l. Calculate k(40).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/84*48\/(20\/5))\/(4840\/385).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 51. Solve -w = -r - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/126 and -95\/2.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 58 = -11*m. Suppose -1128 = -m*b + 1387. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1948?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 10) to base 6.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -198.6 + 196.894. What is l rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -596, -4689, -15776, -37349, -72900, -125921?\n\"Answer: -582*r**3 - 5*r**2 - 4*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 0. Let y be h - ((-4)\/3 - 0). Let k = 4 - 1. Which is the third biggest value? (a) y (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/64*-17*52\/13.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -0.1, -0.3, 1\/4, 0 in descending order.\nAnswer: 1\/4, 0, -0.07, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*t + 65*t + 4046 = -90*t for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1802345531?\nAnswer: 7, 389, 661897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -291673, -291697, -291747, -291835, -291973, -292173, -292447, -292807?\nAnswer: -293265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.393039 micrograms in kilograms?\nAnswer: 0.000000002393039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 103 - (24 + -41 - 1) - 3?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -33161 != 111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1038 - s - 488 - 307)*(-4*s**2 + 3*s**2 + 3*s**2).\nAnswer: -2*s**3 + 486*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 12. Suppose 3*s + 34 + 17 = -2*f, -2*s = -6. Calculate the remainder when 88 is divided by u(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3, 2, -0.23, -4\/3, 9 in ascending order.\nAnswer: -4\/3, -0.23, 0.4, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/892549 and -17\/637535.\nAnswer: 4462745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8 (b) 0 (c) 0.2 (d) -0.29742\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 - 1600*p**3 + 7845*p**2 + 9450*p.\nAnswer: 5*p*(p - 315)*(p - 6)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19061 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**1)**(-46)*u*(u*(u**8\/u)\/u)\/u*u**(3\/2) assuming u is positive.\nAnswer: u**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 250.5 - 250.2. Let w be 128\/(-154) - 4\/(-14). Which is the second biggest value? (a) -0.2 (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3232 - 3232.008. Which is the biggest value? (a) -1\/3 (b) k (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-2)*(-2)\/(-6)*(-3)\/9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33778555.\nAnswer: 5, 109, 61979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (33\/45 + -1)\/((-6)\/5). Is d at most as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -105*g. Let h(a) = -31*a**2 - 8*a. Give h(j(y)).\nAnswer: -341775*y**2 + 840*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -28. Suppose -3*g + 4*f + 133 = 0, f + v - 40 = -g. Calculate the remainder when g is divided by 1\/(-1)*4 + (92 - 68).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 9*b**2 + 2*b + 8. Suppose 3*k + k = 56. Calculate the remainder when p(9) is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, d: 4, t: 7, a: 3, n: 3}. Give prob of sequence nat.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/4)\/((-5)\/(-10)). Let a(s) = -2*s + 3. What is the units digit of a(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/7 - 1220594*a**2\/7 - 186295278752*a\/7 - 2792507076480.\nAnswer: -2*(a + 105)*(a + 305096)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5381 (base 12) to base 9\nAnswer: 13517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 32. What is the second smallest value in h, 0, -5, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 2*m + 21*h, -53*h + 105*h = -3*m + 47*h - 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wofofhofffhfo. What is prob of picking 1 h, 1 o, and 1 f?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 9. Let z(t) = t**2 - t - 3. Let l be z(h). Suppose -r = l*r. Solve -o + r = -3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472208 is divided by 123.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 7*q + 28 = 6*s + 2*s, 2*q = -2 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 4. Let r(f) = -3*f + 11 + 6*f - 2. Give 2*r(o) + 5*t(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3439 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3191867*j**2 - 78288*j + 9786. Let y(v) = -1631*v**2 + 40*v - 5. Calculate 5*n(s) + 9786*y(s).\nAnswer: -1631*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 16, n: 2}. What is prob of picking 2 e?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 y, and 1 v when three letters picked without replacement from {l: 5, v: 2, y: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-148)\/(-2 - 0) - 20\/(-4). Let c = -203 + 292. Let l = c - i. What is the remainder when 19 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 12*n**2 - 10*n + 44. Let s be g(-13). Suppose 0 = 5*r + 15, s*o = -r + 4962. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.03872777 and 2621.32888.\nAnswer: 2621.29015223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5191687, -5191681, -5191675, -5191669, -5191663, -5191657?\n\"Answer: 6*h - 5191693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**5\/21 - 32*w**4\/7 - 202*w**3\/21 + 32*w**2\/7 + 200*w\/21 = 0.\nAnswer: -2, -1, 0, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 9*h + 10. Let p be u(-8). Solve -5*k - m - p = -0, m - 8 = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 24589?\nAnswer: 1\/24589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40\/3*n**3 + 80*n - 1\/3*n**5 + 160\/3*n**2 + 128\/3 + 0*n**4.\nAnswer: -(n - 8)*(n + 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -20*v + 1132 - 183. Suppose 44 = -0*q + 4*q. Calculate the remainder when v is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2. Suppose -5*r - 10 = -70. Let a(g) = 8*g**2 + 6*g - 6. Let m(b) = r*k(b) - a(b). Let o be m(2). Solve -4*c - o - 10 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-159)\/(-24) - (108\/(-32) + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-7)\/(14\/(-4))). Let r(n) be the first derivative of i*n + 1\/3*n**3 + 1 + n**2. What is the second derivative of r(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 (base 7) in base 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1764 + 282. Let c = k - -1023. Let j = c - -464.31. Round j to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/100 + (-15531)\/186?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393763796 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 75071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*w - 3 = 5, -2*w = -8. Suppose 3*t - 12 = 3*g, q = 4*t - g - 6 - 1. What is the remainder when 10 is divided by -1*(-2 - (t + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*m - 15. Suppose 616 = m*b - b. What is the highest common divisor of 22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 763041052, 763041054, 763041056, 763041058?\n\"Answer: 2*o + 763041050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -58 + (13 + 7 + -13 - -32)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7008242 and 11540.\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 198775013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11 + -8*(-1)\/(-2). Find the third derivative of -a**4 - y*a**4 + 6*a**2 + 6*a**4 - 6*a**4 wrt a.\nAnswer: -192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 4.4.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010111101 + -101011101000100?\nAnswer: -101000010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/6)\/(17\/((-32487)\/91))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8307 times -3\nAnswer: 24921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.4, 1, -5\/4, -10, 813 in ascending order.\nAnswer: -10, -5\/4, -0.2, 0.4, 1, 813","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4928, 5037, 5228, 5507, 5880, 6353, 6932, 7623?\nAnswer: 8432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -634763*-3\nAnswer: 1904289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14533255 (base 6) to base 12\nAnswer: 20722b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -1)\/(2\/(-2)). Let z = -8 + 8. Let o be z - -2*6\/1. Solve s*u - o = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -31.3. Which is the third smallest value? (a) 5 (b) d (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -853 or -851?\nAnswer: -853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31153823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 819 = -5921. Let d = -322 + w. Let g = -30 - -57. Calculate the least common multiple of g and d.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 - 4*f**4 + 4*f**4 - 2*f**4 - f**4 + 2*f**4 + (5 - 2*f - 5)*(-3 + 3 - 2*f**3) + 22 + f**4 - 22.\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -5, -0.06, -0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + (-80)\/(-25) + (-274)\/(-5) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + m - 16 = -0*m, 3*x = 4*m - 4. Let p be 186\/x*(-80)\/(-20). What is the highest common divisor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j**3 - 3*j + 2. Let z be h(1). Let d(l) = l**3 + 6*l**2 - 9*l - 12. Let o be d(z). Let p = o + 24. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76842.\nAnswer: 2, 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*y - 22 - 2 = 164. Solve 6 = y*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4170.\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1125 + -968. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 42. Let g = -20 + 28. Suppose -n + 5 = 2. Solve -g*q + v = -n*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111 - 1111110100?\nAnswer: -1101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -6. List the prime factors of 1 + (1 - (s + -11)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2925)\/(-180))\/((55\/(-4))\/(-5)). Which is greater: h or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -15. Let f = w + 5. 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: Express (113*r**2 + 4132 - 4132)*(-58*r - 130*r - 193*r + 22*r - 290*r - 50*r) as j*r + f*r**3 + v + z*r**2 and give f.\nAnswer: -78987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 9*h**2 - 9*h - 12. Let n be j(10). Suppose -q = -0 - 5. Let k(w) = -w**2 - 8*w - 7. Let r be k(-7). Put r, n, q in decreasing order.\nAnswer: q, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 210491 + -210490.9562591. Let z = 653 + -653.0437. Let h = z + a. What is h rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4650\/105 + -22)\/((-4)\/(-2002) - 0) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52571631?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 41?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkkqkqkkkk. What is prob of sequence qk?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1308637 and -699.596?\nAnswer: 1307937.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 2. Let q be 2*(15\/(-2) + 2). Let z = -13 - q. Determine p(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 6*x**2 - 7*x + 1. Determine y(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -62*u**3 - 62*u**3 - u + 120*u**3. Calculate n(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 106\/86341?\nAnswer: 106\/86341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 5\/(-35))*(-28)\/4. Suppose 21*o - l*o - 3 = 0. What is the fourth smallest value in o, 3\/8, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.062 and 9966609.\nAnswer: 9966608.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -216, 1106 in ascending order.\nAnswer: -216, -1, 1106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 32620 + 7*b - 32608 + 14*b**2 - 12*b**2. What is p(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -220.97, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 6:26 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(136)*-5 + 1*sqrt(136)*-1)\/(-1*sqrt(648) - -1*sqrt(200)) + 3.\nAnswer: -9*sqrt(17)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18877.\nAnswer: 43, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56787072869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166 and 223502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 26*q**2 - 45*q - 532. What are the prime factors of g(-19)?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 7:45 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1258 + -2?\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 7 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 8*i**2 + 7*i + 7. Suppose -148*x + 141*x = -21. Suppose x*d = 5*d + 14. What is m(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -136*a**2 - 13060*a - 308. Give q(-96).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/20 - (-45524)\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.28 or -178.6?\nAnswer: -178.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/6)*r)**(-3\/28) assuming r is positive.\nAnswer: r**(-13\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o, -32*s - 3663 = -35*s - 5*o. What are the prime factors of s?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32137a5 - 5?\nAnswer: 32137a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.3, 1.7, -3, 0.02?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(85))\/sqrt(5) - (sqrt(17) + 0)*-3)**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (-2*sqrt(78) + sqrt(78)))\/sqrt(6) + 2 + sqrt(13)*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 287 + 43. Calculate the greatest common factor of 99 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10099.31 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + k = 1, c + 3*k + 3 = 6*k. Put 2, 3, c, 7 in decreasing order.\nAnswer: 7, 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 513 and 11647?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/12 + 1 + 0. Let g = 10.8 + -8.8. Is g <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*f + 54 = -450*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 27. Let k(z) = 4. Let s(r) = -3*f(r) - 21*k(r). Give s(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -28. Suppose 2*y - 4*y + 58 = 0. Let g = y + t. Solve 0 = -3*u + 7*u - g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-8)*w*w*w**21*w**(5\/6)*w*(w*w**(-10\/9))\/w assuming w is positive.\nAnswer: w**(301\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 + p**5 - 4*p**5 + (-12 + 6*p**2 + 12)*(-p**3 - 3*p**3 + 3*p**3).\nAnswer: -7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4 - 695*v**3 + 5*v**2 + 695*v.\nAnswer: -5*v*(v - 1)*(v + 1)*(v + 139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10123023322 (base 4) to base 10.\nAnswer: 1159930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50100 and 660.\nAnswer: 551100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 - x**3 + 2*x**3 + 42*x**2 - 3*x**3.\nAnswer: -2*x**3 + 36*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**5 - 9840*a**4 + 135*a**3 + 265410*a**2 - 531360*a = 0. What is a?\nAnswer: -1968, -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 346176 and 2496?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*p + 20 = 0, o - 2*o + 5*p + 30 = 0. Suppose 0 = 5*l - 0*n + 3*n - 20, l - o*n = 32. Is 2\/l - 412\/(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 2*r + 3*r = 60 + 88, -2*y - 9 - 82 = 7*r for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*b - 9 = 0, -j - b + 2*b = -3. Let d(g) = -2*g - 41 - 28 + 74. Calculate d(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 8:26 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-6)\/(-33) + 2. Let r = 3463\/2470 - 1\/494. What is the second biggest value in 0.1, l, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.6 - -8.7. Let y = t - -1.9. Which is the second smallest value? (a) -2 (b) 7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44566.026 + -44524. What is n rounded to 1 decimal place?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: -5 + (-5 + -2 - -4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 m when three letters picked without replacement from {m: 1, j: 1, x: 1, k: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 17, b: 2}. Give prob of picking 2 y and 2 b.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 + 2*f**3 - 6*f**3 + (-2*f**2 + 3*f**3 + 2*f**2)*(1 - 1 - 3) - 18 + 11 - 3*f**3 + 9 to j*f + m*f**3 + v*f**2 + u and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/5 + 1232*n**3\/5 - 119756*n**2\/5 - 21551376*n\/5 - 612010098\/5.\nAnswer: -2*(n - 357)**2*(n + 49)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -961581328.00000058 - -961581318. Let z = 2.5 - -7.5. Let j = z + u. Round j to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/28)\/((-4)\/(-60)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 8*c**2 + 8*c + 7. Let n be u(-7). Suppose d + d + 3*k = 12, d + 2*k - 4 = n. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2680290 and 1701?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 a factor of 24034623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 4*g**2 + 118*g + 95. Is k(-19) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -34 and -1309\/39 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1932 - 707. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p + 40*p = -2*u - 21, 4*p + 18 = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/3 (b) -0.352 (c) -0.04 (d) -4 (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-9)*468\/780\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6567 - 6565.7. Which is the closest to -1? (a) 11 (b) 4 (c) n (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b + 36. Let p be 6*(7 + -6)*(-3)\/(-2). Let c be w(p). Solve 5*q + 29 - 9 = c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3203 - 103331?\nAnswer: -100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/9*z - 2\/3*z**2 + 4\/9*z**3.\nAnswer: 2*z*(z - 1)*(2*z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n**2 - 265*n - 1161. Determine g(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 23722.6 to the nearest 10.\nAnswer: 23720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -166 - -169. Suppose b + s = 106, b + 0*s = w*s + 126. List the prime factors of b.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**4 - 93*q**3 - 9771*q**2 - 9675*q = 0.\nAnswer: -43, -1, 0, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = 2, 5 = -5*w - 5*v. Let u(m) = -16 + m**2 - 11 - 6 + 0*m + 4*m + 27. What is u(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20594633 divided by 1?\nAnswer: 20594633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-9)*p\/(p*p**2)*p*p*p)**39*(p*p**3*p*p**7)**47 assuming p is positive.\nAnswer: p**993","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -1. Suppose -2*n - 2*f = -f - 108, p*n - 214 = -3*f. What is the greatest common factor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3540, 7084, 10630, 14178, 17728?\nAnswer: 21280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1662744300 to the nearest 1000000.\nAnswer: 1663000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -t + 20*w, -1051 = -3*t + 5*w - 1050 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 780326683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -127 + -25?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57 and 9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 9*q**2 + 11*q - 19. What is the units digit of y(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 8 - 8)*(-2*t**4 - t**4 + 2*t**4).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2594733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 3. Let h(u) = u**3 - 9*u**2 - 9*u - 5. Let c be h(10). Let r(z) = -2*z - 4. Determine c*r(p) + 6*t(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-20 - -26) + (0 + 2 - 31)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530494 is divided by 288.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84272 and 233312.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*2\/64)\/(2838\/(-9504)*-9)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((324\/40)\/9)\/(5\/(150\/(-18)))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 16*m - 3. Let f(a) = -91*a + 1916. Let b be f(21). Let x(h) = 32*h - 5. Calculate b*j(r) - 3*x(r).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, o: 2, a: 9, w: 5}. What is prob of picking 2 o and 1 s?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-0.19861887.\nAnswer: 0.0039723774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3101663 to the nearest integer?\nAnswer: 1761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22259 - 22261. What is the closest to -0.2 in 0.1, -18, i, -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and 62494.\nAnswer: -1249880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001262774 rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/5 and 1*1\/4 + 328\/1640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 9) to base 16\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*q - 34*q - 50 = 0. Let v be -5 + 152\/40 + 2\/q. Let j(b) = b**2 - b. What is j(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132178753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 18*t - 2. Let o be q(2). Suppose 2*f - o = -2*w, 2*w + 44 = 5*w - 4*f. Suppose -w = -3*v + u, -2 + 0 = -v + u. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 10. Let g be 2\/(d - 0)*-4. Suppose -a = -g*b - 1 - 158, 4*a - 5*b - 625 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 15*t**3 - 25*t + 3. Let i(v) = -31*v**3 + 53*v - 7. Calculate -7*f(z) - 3*i(z).\nAnswer: -12*z**3 + 16*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 15 = -9. Suppose 3*x - 867 = -3*s, 5*s = -g*x - x + 865. List the prime factors of x.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 12:22 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100101111011111101 (base 2) to base 14.\nAnswer: ac23b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34227 - -7?\nAnswer: -34220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-1)\/(84\/21)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3899309235 take away -5.8?\nAnswer: -3899309229.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5))**(-39\/2))**(-29) assuming h is positive.\nAnswer: h**(-1131\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m - 7*m)*(3*m - 3*m + 13*m)*(-4*m + 4*m + m).\nAnswer: -91*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7886*y + 8286*y + 23645*y.\nAnswer: 39817*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 12:17 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 2*u - 3*u)*(-620 - 615 + 861)*(3*u + 4*u - 5*u).\nAnswer: 748*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**2 - 6. Let w(r) = 7*r**2 - 7. What is 4*v(k) - 3*w(k)?\nAnswer: 7*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, w: 3, d: 1, e: 2, o: 3, i: 1}. Give prob of picking 1 o and 1 d.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1530089952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0 - (-4 - (-6 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -209*w**2. Let n(c) = -7*c**2. Determine y(n(v)).\nAnswer: -10241*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -599*s - 1773. Is 6 a factor of m(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvllrwwvlvwllrvll. What is prob of picking 4 v?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**2 - 10*d - 429. Let c(i) = -6*i**2 - 8*i - 428. Let q(a) = -6*c(a) + 5*u(a). Differentiate q(b) with respect to b.\nAnswer: 22*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**3 + 17*i**2 - 10*i - 33. Let g(k) = 3*k**3 - 11*k**2 + 7*k + 22. Let v(u) = -7*g(u) - 5*m(u). Calculate v(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 4*z - 2 - 6, -2*z - 24 = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2*x**4 + 2*x**2 + 2\/3*x**5 - 4\/3*x + 2\/3*x**3 = 0. What is x?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -601.8 rounded to the nearest 10?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, f: 1, o: 1, s: 1, k: 1}. Give prob of sequence osf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 5*h**2 + 6. What is w(-3)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/96)\/((-292)\/17520).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/10*1)\/(-10).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*k**3 - 12725 - 55*k**3 - 1890*k + 12561 - 1768*k**2 + 56*k**3 - 10*k**3.\nAnswer: -2*(k + 1)*(k + 41)*(21*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/4)\/(2*(492\/48)\/(-41))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**4 + 238*u**3 - 5339*u**2 - 46452*u - 69660 = 0.\nAnswer: -258, -5, -2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 7710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 11:56 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**5 - 1804904*i**4 - 30684752*i**3 + 102883640*i**2 - 106493428*i + 36099440 = 0.\nAnswer: -20, 1, 451243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-2)*-4*3\/(-12). Suppose -5*j - m + 121 = -54, w = -2*j - 4*m + 70. Suppose 9 = 4*t - j. Calculate the greatest common factor of 88 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57568266?\nAnswer: 2, 3, 7, 152297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 524\/(-4847)*-2*4\/48.\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1283083\/5402826 - 3\/27287. Calculate the common denominator of g and 77\/180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = 471 - 663. Let w(a) = -a**2 + 14*a + 50. Calculate w(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**3 - 2*z + 3*z - 2 + 2*z**2 + 0. Let q be u(-2). Let g be q\/8*4\/25. Which is the nearest to g? (a) -1 (b) 6 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 132. Let p = f - 103. What is the third smallest value in 1\/2, p, 2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.011168*3\nAnswer: -0.033504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2)*((-156)\/18 + 9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 126 and 29381107.8698?\nAnswer: 29380981.8698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 8*n**2 - 6*n - 2. Let b be u(5). Let a = b - 214\/5. Find m, given that -1\/5*m**3 - 3\/5*m**2 - a - 3\/5*m = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i + 26. Let b(s) = -s**3 - 6*s**2 - 9*s - 4. Let h be b(-4). What is the units digit of y(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2021 is divided by 118?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-2) + (-5)\/10. Let p(b) be the third derivative of b**2 - 1\/4*b**4 + 0*b - 1\/60*b**5 + 0 - 1\/2*b**3. What is p(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3204 divided by 801.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -2\/5 (c) 13 (d) -687 (e) -9 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(55\/10)*7*(-8)\/(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:02 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 337534152 or 337534154?\nAnswer: 337534152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9823, -6\/11, 4, 2 in descending order.\nAnswer: 4, 2, -6\/11, -0.9823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18431079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 328*x**5 + 11*x**2 - 214823*x wrt x.\nAnswer: 6560*x**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 + 2259142*a**3 - 637966451590*a**2 + 637964192450*a.\nAnswer: -2*a*(a - 564785)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.152 + 0.052. Let n = 0.7 + y. Let f = n + 2. What is f rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*((-5 + sqrt(700) - sqrt(700))*-3)**2 + sqrt(700)*-1*1*-3).\nAnswer: -1125 + 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*c**2 - 10*c**2 + 78*c**2 + 253*c**2.\nAnswer: 465*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 2\/11, -0.2, 31, -2\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - m - 1. Let d be p(-1). Suppose d*c = -3*c + 10. What is the tens digit of (5\/c)\/(8\/80)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 2412*y - 40. Let a(k) = -2*k**2 + 1206*k + 24. What is -5*a(g) - 3*q(g)?\nAnswer: 4*g**2 + 1206*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5\/21 - 94*c**4\/21 - 104*c**3\/21 + 376*c**2\/21 + 128*c\/7 = 0. Calculate c.\nAnswer: -2, -1, 0, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/3096684 and 35\/6193368.\nAnswer: 6193368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from cenneevnencvnncnnvnv?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2656.48*-2\nAnswer: 5312.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 48. Solve -a + 2 = -4*j, 4*a = h*j - 8*j + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 0.5 (c) 26 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f**2 - f - 1. Let v(p) = -22*p**2 - 5*p - 110. Let q(l) = 2*v(l) + 6*w(l). Differentiate q(j) wrt j.\nAnswer: -28*j - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13299 to the nearest one hundred.\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 7\/4*h**4 + 5\/2*h**3 + 2*h - 3*h**2 + 0. Factor a(x).\nAnswer: 3*(x + 1)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -835*s + 53826 = 17921 for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 11*q + 8*q - 20*q - 5. Let s(f) = -9*f**2 - 5*f + 9. Let o(c) = -5*c**2 - 3*c + 5. Let a(w) = -7*o(w) + 4*s(w). Let p be a(3). What is x(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.43 in 1, 4\/25, -0.2, 0.37?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -13605\/11 (b) -0.1 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71992799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 5*y**4\/12 + 9*y**3\/2 - 2*y**2 - 18. Let b be j(-2). Let l(h) = 3*h + 7. Determine l(b).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0119 and 0.2?\nAnswer: 0.00238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 44 = 5*l. Suppose 2*o = l*o - 24. What is the remainder when 11 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 266*p - 5. Let o(d) = 873*d - 15. Let z(s) = -8*h(s) + 3*o(s). Let j(u) = -u. Give z(j(x)).\nAnswer: -491*x - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 38*w**2. Suppose -r = -22 + 19. Let q(l) = -r*l + 12 - 18 + 6. What is q(k(n))?\nAnswer: -114*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqiqyqiididviivyqqv. Give prob of sequence qyvi.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -52?\nAnswer: 31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q = -5*q - 14*q + 10. Let l(d) be the first derivative of 0*d - 4\/15*d**3 + 7 + 3\/5*d**q - 1\/10*d**4. Factor l(k).\nAnswer: -2*k*(k - 1)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*j = -424, -j + 2099 = 5*i - 5*j. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002074 rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, p: 1, f: 1, z: 1, r: 1, s: 1}. What is prob of picking 1 p, 1 s, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or -1028?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8245749?\nAnswer: 3, 2748583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -7)\/((-5)\/84). Let i = 67 - k. Let g = -3 + 1. What is the smallest value in i, -0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/13 (b) 0.5 (c) -1\/3 (d) -0.061 (e) 1 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 4*s - 5*s = 7, 2*s - 6 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 421*x - 33157. Calculate d(69).\nAnswer: -4108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - k = 94596, 5*w = -2*k + 21795 + 135854. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -91 (b) -4\/2171 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-1740)*36*(-870)\/(-522).\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*x + 17. Let b(f) = 1 + f**2 - 2*f**2 - 3 + 0*f**2 + 8*f. Let k be b(x). Sort -3\/2, k, 0 in decreasing order.\nAnswer: k, 0, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x + 50. Let z be l(-16). Suppose 3*o = 5*f + 73, z*f = -5 - 5. Let b = -3 - -5. Calculate the highest common factor of o and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 5*x + 38, -375*x - 43 = -371*x + 5*y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - m - 1 = -0*m, 0 = -4*i + 2*m + 20. Suppose -4*q + 83 = -i*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 30480016 = 8*v - 4*v, 5*v + 7619980 = -p. Round p to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3189559*j**4 - 4590015.\nAnswer: -12758236*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14348 - -32.\nAnswer: -14316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 12*n**2 + 6*n - 19. Calculate the remainder when 1443 is divided by t(-10).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1*sqrt(3400))\/(sqrt(8)\/sqrt(4)*6) - (-4 + (sqrt(51)\/sqrt(3) + -3)*1)) + 0.\nAnswer: 2*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 12.08. Let w = i + -3.08. What is the closest to -1 in -1, -2\/3, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3 - 6 + 3 - 1. Let z(h) = h - 1. Calculate 2*j(f) - 2*z(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*j + 2*a, 3*a + 20 + 1 = 5*j. Let s be (-30)\/5 - (3 - j). Let i be 1\/(-1 - s\/4). Solve 2*q + 6 = -2*o, 0 = o - i*q + 4*q + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -77*t + 382. Let z be s(5). Which is the second biggest value? (a) 1\/6 (b) z (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 3, c: 3, n: 6, l: 1, p: 1}. Give prob of sequence pl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0894 - -224.7894. Let i = 224 - y. Which is the closest to 3? (a) 4 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 153744421?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3932*r. Let a(x) = 1118*x + 1. What is a(y(c))?\nAnswer: 4395976*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -543 - 1983 = -6*p. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 v, and 1 m when three letters picked without replacement from fvvumvvvufhu.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2841268 is divided by 1408.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + n - 26021, -5*n + 65055 = -32*v + 37*v. Round v to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 11*j + 6. Calculate v(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -240022 (base 5) in base 6?\nAnswer: -104322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-15) + (-114)\/(-95)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70047.67294 rounded to the nearest 1000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) 6\/5 (c) -3 (d) -132 (e) 0.5 (f) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-644)\/168*1*-6 - -4. Find the third derivative of -30*x**2 + r*x**2 - 188*x**4 + 22*x**2 wrt x.\nAnswer: -4512*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + u - 1. Let x(a) = 8*a**2 + 9*a - 5. What is -6*k(m) + x(m)?\nAnswer: 2*m**2 + 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 1416 - d**3 - 5294.\nAnswer: -2*d**3 - 3878","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5039 = -2*r, 5*o + 3*r - 428 = 4626. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + d + 3*d**3)*(-2*d - 3*d + 4*d) - 6*d**4 + 2*d**4 - d**4 + 0*d + 0*d + 2*d**4 to the form a*d**2 + k + p*d**4 + h*d + z*d**3 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d + 28. Let l be c(5). What is the hundreds digit of (452\/l)\/1*8\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 4, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 3:15 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 268*i - 207. Let f(o) = -220*o + 208. What is -4*a(u) - 5*f(u)?\nAnswer: 28*u - 212","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1 + sqrt(8)*-1)**2 + (sqrt(16)\/sqrt(648))**2 + 5)*-2 + -2.\nAnswer: -11522\/81 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*g, o = -g - 1 + 2. Let i(f) = -f**3 - 1. Let d(k) be the first derivative of -k**2\/2 - 2*k - 1. What is o*i(c) + d(c)?\nAnswer: 2*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**6\/360 + f**5\/30 + f**4\/8 + 17*f**3\/3 + 2*f**2 + 35. Let b(z) be the first derivative of g(z). Determine b(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 4*s - 186571 + 186632, 11*k + 19 = -2*s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkk. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 151 + -102. Calculate the highest common divisor of 2 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l. Let p(h) be the second derivative of h**4\/6 - 6*h. Give p(u(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-20))\/(((-1)\/(-2))\/((-15)\/(-2))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/5 + 21296*b\/5 - 5846424\/5.\nAnswer: -2*(b - 10366)*(b - 282)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 174 + -230. Let b = m - -164. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*r = -1184, 0*d - 5*d = 4*r - 1966. Let g = d - -655. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 20*w**2 - 10*w + 11. Let s(r) = -13*r**2 + 7*r - 8. What is -5*b(l) - 7*s(l)?\nAnswer: -9*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 77 + 3*a**3 - 4*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 6*s**2 + 7*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 7\/312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 + (-7 - 31) - (11 + -1 + -27).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 + 0*r**3 - 3620*r + 3632*r - 2*r**3 to the form a*r**3 + i + w*r + y*r**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-6\/7)\/x)\/(x\/x**8*x))**(-19))**(2\/7) assuming x is positive.\nAnswer: x**(-1102\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 - 80. What is the second derivative of g*i - 42*i**5 - 8*i + 32*i wrt i?\nAnswer: -840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 0 - 7*d + 4 - 6 + 1. Give i(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = o + 5*h - 5, 4*h = -5*o + 20. Suppose -5*q - o*j = -1388, 3*q - 838 = -0*q - 5*j. Find the first derivative of 2 - q*x + 274*x + 5 wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 16919284.6?\nAnswer: 16919284.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*p + 10. Suppose -23 = -4*w + 25. What is the lowest common multiple of p and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(108) + sqrt(108) + sqrt(108) + (sqrt(108) - (sqrt(108) + 3 - sqrt(108))))*-1 - sqrt(108))*-1)**2.\nAnswer: -180*sqrt(3) + 2709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 4*k**2 + 3*k - 6. Suppose 2*t + 0*t = -6. Let m be (-2 + 7)*t\/(-3). What is the remainder when v(m) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**1*f)\/f**(3\/5)*(f**14\/f)\/f**18 assuming f is positive.\nAnswer: f**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 12 = 28*o - 29*o, 3*o = -b + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -457*m**5\/20 + 41*m**4\/6 + 7*m**3\/6 + 1002*m**2. Find the second derivative of b(u) wrt u.\nAnswer: -2742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - 0. Let l(q) = -q**3 - 3*q**2 - 6*q + 3. Is l(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/11 + 564\/132. Suppose 12*g - 4*i = 7*g + 53, 3*g + c*i = 19. Calculate the least common multiple of g and 294.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 38*d + 37*d + 8, -3*s - 3*d = -27 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 2:41 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.05643.\nAnswer: 0.011286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462 times 0.02?\nAnswer: 29.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -14. Let h = a + 3. Let o be (h\/8)\/(7\/4). What is the third biggest value in 0.4, o, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29325\/11 - -2666. Is c equal to -2.23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28.1*-180.96\nAnswer: -5084.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8\/25 of a gram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Let y be -12*3\/12*l. What is the tens digit of (200\/y)\/(5 - (-64)\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313134 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -831 (b) 18 (c) -235\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-8) - 8) + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 80 - 14 = -4*t, 108 = -3*g - 5*t. Let m = 92 + g. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0778? (a) 2 (b) -8\/9 (c) 3 (d) -1\/3 (e) -1.4 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12418987 from 0.3212.\nAnswer: -12418986.6788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eey when three letters picked without replacement from {e: 2, r: 1, y: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001543063 to six dps.\nAnswer: 0.001543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2037 - 1130. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -34, -78, -150, -256, -402, -594, -838?\nAnswer: -1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6*o**2 - 18*o**2 + 14*o**2 + 2*o)*(2*o + 0*o - 3*o).\nAnswer: -2*o**3 - 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1869 + 12007. Suppose -2*j + 6747 = -f + 6*f, p = 3*j + 4*f. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135041740 to the nearest integer?\nAnswer: 11621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -55*o**4\/12 - 65*o**3\/6 + 6*o**2. Let w(r) = -10*r - 6. Let q(k) = -6*l(k) + 65*w(k). Let x(c) = c. Calculate x(q(t)).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4415.053um in kilometers?\nAnswer: 0.000004415053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1114206954 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*((-15)\/(-6) - 2). Let w be 1\/(-2) + s\/6. Solve 2*f + 3*f + 25 = w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4413 (base 12) to base 11\nAnswer: 5701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + x + 1. Let u(a) = a**2 - 6*a + 6. Let j(w) = k(w) + u(w). What is the tens digit of j(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 267*l**3*t**3 + 5*l**3 + 2*l**2*t**2 wrt t?\nAnswer: 1602*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 15582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2699*o**2 + 4085*o**2 + 179*o**4 - 180*o**4 - 1028*o**2 - 2)*(2*o - 2*o + o).\nAnswer: -o**5 + 5756*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 495 + 648 = 3*d, -2*k + 1141 = d. What is the greatest common factor of k and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11833?\nAnswer: 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2645879347 to the nearest integer?\nAnswer: 1383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1034\/16*1638\/3003)\/((-6)\/8).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-2) - 8\/(-16). Solve 0*a**2 + 2*a**2 - 59*a**4 + a**2 - 28*a**3 - j*a**2 - 35*a**5 = 0 for a.\nAnswer: -1, -2\/5, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 41 = 5*k. Let a(u) = u**3 + 6*u**2 - 8*u - 9. Let w be a(k). Suppose -2*z = -1 + 3. Which is smaller: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5 + 2*i + 4 - 2. Let b(u) = 2*u + 12. Let j be b(-5). Let d(a) = -7 + 2*a - 2*a**2 + 4*a**2 - 3*a**j + 2*a. Calculate -2*d(r) + 5*s(r).\nAnswer: 2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 519 divide 7825295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 5 + (-47 - -16 - -16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10127\/36 - -2534\/9. Which is the nearest to 2? (a) 0 (b) -25\/3 (c) n (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1368011 + 6040539 = 495*t - 8575000. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 122*h - 118*h - 28, 0 = 2*q + 3*h - 21. Let v = -6 - -2. Let r = 6 + v. Which is the second smallest value? (a) q (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21216, -42426, -63624, -84810, -105984, -127146?\nAnswer: -148296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 13. Let g be i(-6). Let h be g\/3 + (-53998)\/(-6). Round h to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/48 and 37\/116.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 97*y**2 + 328*y - 763. Is 7 a factor of p(100)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*2\/24)\/(7*54\/63).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19651 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1147337*-7\nAnswer: -8031359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 70*q**2 - 496*q + 5. Let w be j(8). Let f = -19 + 37\/2. Suppose 0 = -4*g + 7 + 9. What is the biggest value in g, f, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 22*y**2 - 84*y + 2. Let i(p) = 45*p**2 - 167*p + 5. Let v(j) = 2*i(j) - 5*u(j). Find the second derivative of v(d) wrt d.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -554c07b?\nAnswer: -554c079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-237 - 0) - 5. Suppose 3*y = -3*h - 135, -2*h + 4*h + 4*y + 86 = 0. Let q = k + h. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**5\/10 + 2*i**4\/3 + i**3 + 33*i**2\/2 - 31*i + 7. Calculate b(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -509 in increasing order.\nAnswer: -509, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -7. Suppose 0 = w*x - 30 + 5. Suppose -2*s - 3*f = -23, s = 2*f + x + 3. Calculate the greatest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 1006413031?\nAnswer: -1006413026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 765234, 765236, 765248, 765276, 765326, 765404, 765516?\nAnswer: 765668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -15*k. Let z(y) = -15*y. Let v(o) = -4*c(o) + 5*z(o). Let a(d) = 3 - 3 - 2*d. Determine v(a(p)).\nAnswer: 30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1528? (a) 0.4 (b) -8\/3 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85680?\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*q**2 - 25*q**2 - 25*q**2 - 21*q**2 + 6 - q + 97*q**2 to the form p*q + y*q**2 + j and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*n - 118, -110 = 3*w - 7*w - n. Solve -23*v + 12 = 3*l - w*v, 0 = -2*l + 3*v + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 801 = a, -4*g - a + 3*a = -798. Calculate the remainder when g is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdhk when four letters picked without replacement from {k: 1, d: 1, f: 1, h: 10}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/792*-9*7\/21?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -391, -655, -919?\nAnswer: -1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208329?\nAnswer: 97, 12457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*c - 10, 10 + 0 = 4*j - 2*c. Suppose 0 = -j*p + 5*p - 35. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1007 - 7064\/7. Sort -3\/2, a, 0, 3\/5 in increasing order.\nAnswer: a, -3\/2, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2*i**(-6\/5)\/i)\/(i**(-2\/15)*i**(-9)*i))**(-2\/111) assuming i is positive.\nAnswer: i**(-238\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i**2 + 117*i + 985. Calculate t(30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6764 by 356.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 3*n**2 - 57*n + 13. Let l be (-357)\/39 + 14\/91. Let r be j(l). What is the greatest common factor of r and 144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 12610*g - 239951.\nAnswer: (g - 12629)*(g + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - j**2 + 2*j - 2. Suppose b - 2*p + 4 = 0, 0 = -b + 4*b - p + 2. Let w be n(b). Let a be (-2)\/3 - w\/3. Is -6\/13 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 245, 9042, -2\/9, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.46 plus 108.6662952?\nAnswer: 110.1262952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 5*h**2 + 7*h + 8. Let i be t(-6). Solve o - p = p - 2, -i*p - 2 = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + (sqrt(117) - 2*sqrt(117)) + sqrt(117))*3 + sqrt(117)*2*5)\/(((sqrt(27)*-2)\/sqrt(3) + sqrt(9))*2).\nAnswer: -13*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 35. Suppose 138 = 2*u - 238. Suppose -t - 5*f + 26 = 0, -z*f - u = -3*t - 25. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t + 1105 - 3*t**2 - 10*t - 1117.\nAnswer: -3*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (76\/(-1) + 2 - 0)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 251125 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 331*k + 2 + 1 - 1 - 406*k - 397*k as r*k + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-3)*r)\/r)\/(r\/(r**(1\/8)\/r)) assuming r is positive.\nAnswer: r**(-31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1121 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-30)\/(-99) + 6\/(-11)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s - 10 = 0. Suppose -2*j + 4*z - 1 = -s, -2*j - 5*z + 4 = 0. Find the third derivative of 3*g**2 - 2*g**j - 2*g**2 + g**3 wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 1. What are the prime factors of b(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 12.09314?\nAnswer: -48.37256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 24 = 2*f - z, 4*f - 5*z + 13 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3209\/3? (a) -4 (b) 0.1 (c) 20 (d) 0 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - -3 - 18\/70. Let g = -548\/7 - -540\/7. Let s = g + a. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150\/8*(4 - 140\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 minutes after 4:14 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 3407 + -1094. What is the remainder when m is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from ccnnnnnwcnnwnwnnncw.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -171, -266, -361, -456, -551?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52869, -105467, -158065, -210663?\nAnswer: -263261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = -0*x. What is the tens digit of (22\/x)\/(4\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1132045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7308 - 3790. Suppose 808 = 5*k + w. Let m be 2\/9 - k\/(-9). What is m rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -22*m**2 + 3594*m + 5933. Determine i(165).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 2. Let d = o - 13.1. What is d rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*x**3 + 7*x**3 + x**3 + 3*x**3 + 4*x**3 - 3*x**3 - 3*x**3 + (3*x**3 - x**3 + 0*x**3)*(-5 + 4 + 3) + x**3 + x**3 - 3*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2399225035 - -1023?\nAnswer: -2399224012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9500?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7278 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0*6\/72)\/(-2). Let h(c) be the first derivative of -3*c + m*c**3 + 7\/5*c**5 + 2 + 0*c**4 + 0*c**2. Find the first derivative of h(i) wrt i.\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(608\/(-7312)) - (-2277)\/(-198).\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1566332.04019116 - -1566332. Let c = 0.0402 + a. Round c to seven decimal places.\nAnswer: 0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-5 + 20\/5) - 0. Does 95 divide ((-65)\/(-26))\/(q\/(-760)*2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccnrcncncccnd. Give prob of sequence rc.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5426.921881 + -5427. Let s = i - -0.11211. Let d = 0.034 - s. What is d rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.041 + -66.041. Let h = 65.7 + o. Which is the closest to -0.2? (a) 0 (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 j when four letters picked without replacement from {j: 5, e: 1, t: 1, b: 2}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1516?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18111, 18090, 18053, 17994, 17907, 17786, 17625?\nAnswer: 17418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107279*d**4 + 2460*d**2 - 229880123*d wrt d?\nAnswer: 1287348*d**2 + 4920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 5*p + p)*(-5*p + 0*p + 4*p) - 145*p**2 - 1264*p**2 + 4*p**2.\nAnswer: -1406*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Convert ac36 (base 16) to base 4.\nAnswer: 22300312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 6:59 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - sqrt(153)*-1)*6)\/(-2*sqrt(1089) + sqrt(9)).\nAnswer: -4*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, 42, 1 in ascending order.\nAnswer: 1, 42, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/805 and -24\/23.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12038 and 309998.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 0*h + 6*h + 39 - 51 - 5*h. Give p(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 11 - 5*g + 17.\nAnswer: -4*g + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 591?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12874239 - -10?\nAnswer: 12874249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 times 0.098?\nAnswer: -0.0147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7114372 - -3?\nAnswer: 7114375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*s = -25. Suppose z - 6*z - s = 0. Let n = z + 4. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*k + 8 + 8, 5*k + 14 = u. Suppose -u*g - 3 = -5*l, 0 = g - 3*g + 6. Which is the nearest to 1\/4? (a) l (b) 5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 789359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 9. Suppose k + y*v = -v, -5*k + 16 = -3*v. Suppose 4*f = -k + 18. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gss when three letters picked without replacement from ggcgswgwssgsgw.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*o**4 + 13*o**2 + 4*o**4 + 7*o**4 - 20 wrt o.\nAnswer: -8*o**3 + 26*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 7:25 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 15*x - 32. Let f(c) = -14*c + 33. Let w = -88 + 90. Let s(t) = w*f(t) + 3*n(t). Differentiate s(b) with respect to b.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 + 11*m**2 + 798*m + 120*m**3 - 118*m**3 - 3*m**2 - 3*m**2 to h + l*m**3 + c*m + d*m**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 953410.3 millennia in months?\nAnswer: 11440923600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 552*c**5 - 3*c**3 + 3788*c**2 + 169*c - 393517 wrt c.\nAnswer: 11040*c**3 - 18*c + 7576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 2*l - 1\/12*l**4 + l**3 + 0 + 3\/2*l**2. Let t be g(6). Sort 2, 1, t in ascending order.\nAnswer: 1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(480\/(-195))*-8*2\/(-208)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Suppose -5 = 5*k, -44*s - 3*k + 2 = -43*s. Suppose -s*i + 33 + 17 = g. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97023225 a multiple of 2865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hssssssssshssssh. Give prob of sequence hsh.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6581.202 micrograms in kilograms?\nAnswer: 0.000006581202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3 - 3 - 3*p**2 - 2*p**3 + 5*p**2 wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nny when three letters picked without replacement from mmlldnynlnm.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782528852?\nAnswer: 2, 7, 27947459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11 + -0.89. Let s = 0.3 + -0.5. Which is the second biggest value? (a) 2 (b) s (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*n*x**3 + 2*n*x**2 + 26*n*x + 21*n - 90*x**3 wrt x.\nAnswer: -162*n*x + 4*n - 540*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 210 = -10*a. Suppose 13*g + a = 16*g. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f = -62. Suppose 2*z - f = -7. Suppose 3*a - 54 = z. What is the greatest common divisor of a and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*c)**(-50)*((c**(1\/4)*c)\/c)**(-1\/6) assuming c is positive.\nAnswer: c**(-1201\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-10)\/5 - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/6)\/((-3)\/(-6)). Let w = d - -6. 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 (35 - 22 - 0) + -51?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 15*i**3 - i**2 + 22*i - 6. Let o(m) = -m**3 + m**2 + 1. Give 6*o(t) + s(t).\nAnswer: 9*t**3 + 5*t**2 + 22*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 - 15*c + 6. Let l be j(5). Solve -4*n - 8 = -4*u, -5*u = -n + l + 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 49079, 98154, 147229, 196304, 245379?\n\"Answer: 49075*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 1064638\nAnswer: -11711018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*w**2 - 87*w**2 - 56*w**2.\nAnswer: 33*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.05 - -0.15. Which is bigger: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from nsjlsnjoillijooo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdtay. Give prob of picking 1 a and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*k - 11*k + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y = -0*y + 23218. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -55630, -111314, -166998, -222682, -278366?\n\"Answer: -55684*c + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0198+-2\nAnswer: -2.0198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8945 is divided by 6802.\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -220223155 - 3?\nAnswer: -220223161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -192838, -192876, -192934, -193018, -193134, -193288, -193486, -193734?\n\"Answer: -u**3 - 4*u**2 - 19*u - 192814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80685973195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/42*49\/28.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (29 - 12))*-11.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*p = -5*m + 58, -244 = -5*p - 2*m. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/8*24\/10 and 9*(-7)\/84 - (-2)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4195?\nAnswer: 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115*-59102.5.\nAnswer: -6796787.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**5\/a**(-10)*a**(2\/5)*a**(-5\/8) assuming a is positive.\nAnswer: a**(591\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, -2, -4 in decreasing order.\nAnswer: 1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*o + 10729055 = 177*o + 3827996. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*b = -98*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*m)*(-7 + 12 - 9)*(-5 - 1 + 4 + (-5 + 1 + 2)*(5 - 1 - 2) + 95 - 500 + 105) to n + d*m and give d.\nAnswer: -2448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 18*a**3 - 19*a**3 - 4*a - 4*a**2 + 6*a to the form f*a**2 + t*a**3 + k + v*a and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**2 + 17*y**2 - 15*y**2. Let w(p) = -16*p**2 + 2 + 22*p**2 - 55*p**2. Determine v(w(l)).\nAnswer: -4802*l**4 + 392*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638*c = 82*c - 6116 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 544 and 73344.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 - 4*r**2 + 4*r + 6. Let o be g(-4). Suppose -49 = -2*m + 5*l, -4*m + l = -m - o. Calculate the greatest common factor of m and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -310c6e (base 15) to base 7\nAnswer: -25550351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.3, 0.1, 1.22?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 49, 52, 55?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1747791 + 5?\nAnswer: -1747789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 22*f**2 + 47*f - 17. What is l(24)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4672371094 to the nearest integer?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1986627 * 1.\nAnswer: -1986627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + n - 5*n)*(2*n - n - 2*n) + (n - 6*n + n)*(n + 2*n - n) - n**2 - 3*n**2 + 5*n**2 - 4*n**2 + 2*n**2 + n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 56*m + 284. Let g be p(-5). Let y(n) be the first derivative of -2\/3*n**3 + 10 + 2\/3*n**g + 1\/6*n**2 + 0*n. Let y(q) = 0. Calculate q.\nAnswer: 0, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 40, 86, 144, 220, 320?\n\"Answer: v**3 + 39*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 26 = 7*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*f**2 - f + 2*f + 13*f**3 + 7 - 9 + 70*f**2.\nAnswer: 13*f**3 + 241*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {x: 1, g: 2, p: 4, k: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-6)*11\/11*-3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + 101?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -9\/5, -0.6, 5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (302 - 311) + 10 + -2 + -45\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 5*b**2 - 11 + 6*b**2 - 10*b**2 to o + t*b + k*b**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + 37. Let v = s - -15.9. Let f(k) = k**2 - 4*k - 2. Let n be f(4). Which is the third smallest value? (a) -0.3 (b) v (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -11*o**8\/28 + 8*o**4\/3 - 11*o. Find the third derivative of j(s) wrt s.\nAnswer: -2640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53870293?\nAnswer: 53870293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -129 + -5 + -1 + 0. Does 2 divide 24\/(-10) + 2 - 15984\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11128 divided by -2782?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**6\/720 - k**5\/40 - 3*k**4\/16 - 2*k**3\/3 + 4*k**2. Let i(q) be the first derivative of d(q). Let i(p) = 0. Calculate p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 288 - 190. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -104545103?\nAnswer: 104545105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2520 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + 0*g - g - 1 - 2*g + g - g - 2*g + 3*g + 0*g + 2*g - 3*g + 3*g + (-2 - 2 + 2)*(0*g + 2*g - 4*g) to m*g + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**9\/756 + c**6\/45 + c**3 + 20. Let g(m) be the third derivative of p(m). What is the third derivative of g(b) wrt b?\nAnswer: -240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 3 (c) -45\/386 (d) -4 (e) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23904?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -115 - 96\/128*(0 + (-168)\/(-18))\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/4 and 2\/8 - (798\/78 - 9).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 8*o + 30 = 0. Let d = o - -4. Let t = 0 - d. Which is bigger: t or 4\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28.8 + -0.8. Let y = l - 77. Let m = 48.99987 + y. What is m rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336974 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 824 = 4*p, 5*p + 4*t - 296 = 725. Let c = -33 - -74. Calculate the remainder when p is divided by c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3\/20, 1\/2, 21?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31123 - -10?\nAnswer: -31113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 17 (c) -4 (d) -605 (e) 1 (f) 45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0 - 5 = -c, 0 = 2*c - 3*k - 15. Let z(r) = 4*r**3 - r**2 + 1. Let t be z(1). Solve p**2 - p**4 + 4*p + c*p**2 + 2*p**2 - 2*p**3 - t = 0 for p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161387657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1156983359 - -655577.\nAnswer: 1157638936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 2. Let r be a(4). Suppose m + g - 242 = 4*g, -r*m + 496 = -2*g. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g = 0. Let y be (-6 - -2) + (-7)\/(-1). Solve g + y = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -2 + 8 + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00918 rounded to 4 decimal places?\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 6) to base 11\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48230 and 1990?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16 - 3) + (3 - 4993016). What is h rounded to the nearest 100000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 286 + -283. Sort -10, c, -5, 4 in descending order.\nAnswer: 4, c, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and -936050.\nAnswer: 65523.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + s + 37 - 25, 4*r - 21 + 4 = 9*s for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/56 and 91\/842168?\nAnswer: 5895176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by (-880)\/30*(7\/(-2) - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10812?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*3\/12)\/((-1)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6798 minus 8.16713?\nAnswer: -6806.16713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79810?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 28 = 4. Let f be -2 - 0 - 12\/3. Let h = v + f. Solve h = -3*d - 1 - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 30\/2415811 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o*u + 2359442*o - 458002*u - 2 wrt u.\nAnswer: -o - 458002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 6:32 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -4*k**6 - 6*k**2 - 27. What is the second derivative of j(c) wrt c?\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21447 - 21444. Which is the third biggest value? (a) 0.43 (b) -2 (c) 14 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 7*y - 43 = 9*t, 4*t + 15 = y. Sort -1042, 5, -3, t in ascending order.\nAnswer: -1042, -3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + k**3 - 2 + (0*k + k - 2*k)*(-7*k**2 + 10*k**2 - 8*k**2) - k**3 + 0*k**2 + 0*k**3 + 4*k**2 + 3 - k**3 - 3 to x*k + c + q*k**3 + v*k**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 4735010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0*r - 5*r + 20, 5 = -5*k. Suppose -26*q = -22*q. Suppose 6*l - l - r*f - 1027 = q, 4*l - 832 = 5*f. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54\/43 - -2677\/1892. Calculate the common denominator of m and (-1)\/16 - (-42 - 22878\/(-576)).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + 0*z**2 + 0*z**2 + (-4 + 4 + z)*(4*z - 9*z - z) to s*z**2 + l*z + k and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -14*c**2 + 3. Let w(k) = -10*k**2 - 3*k**2 + 17*k**2. Calculate w(b(o)).\nAnswer: 784*o**4 - 336*o**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72839, 73164, 73489?\nAnswer: 73814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = 4*u + 36, -37382*u + 39 = -3*r - 37379*u for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1136)\/24 + 7)\/(2\/(-6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1311307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(((l**(-3)\/l*l*l)\/l)\/l*l)*l))\/l)\/l)**(25\/3) assuming l is positive.\nAnswer: l**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 529739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 523774469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, 3004, 1\/2, 2, 1\/6, 31\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 w when four letters picked without replacement from {w: 2, i: 12, b: 3}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16176, -64707, -145600, -258861, -404496, -582511, -792912?\n\"Answer: -z**3 - 16175*z**2 + z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -13. Calculate the remainder when 34 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 120 + 120.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 x when three letters picked without replacement from {k: 3, p: 2, x: 10}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71773219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2 - 315\/(-150)) + (-126)\/6?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/22)\/(-58*-2*(-1)\/(-22))?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**5\/150 - 2*b**4\/15 + 3*b**3\/5 - 187*b**2. Factor o(q).\nAnswer: -2*(q - 1)*(q + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 5*s**5\/12 + s**4\/8 - 11*s**3\/6 - s**2 + 47*s. Is j(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.09*-57\nAnswer: -233.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 681189, 4, -0.1 in ascending order.\nAnswer: -0.1, 4, 681189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -4*k + 397. Suppose k + 259 = 4*p. Let l = -55 + p. What is the greatest common factor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -4, 27, 90, 197?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12051 is divided by 3008.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*u + 103009 - 2217330 = -222*u. What are the prime factors of u?\nAnswer: 11, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 2903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4188*l**2. Let k(q) = -q. Give k(z(c)).\nAnswer: -4188*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7081847951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1773870321?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k + 8525 = 65. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.94 + 1.535. Let p = -0.095 + x. Let c = -0.5 - p. What is the closest to 0 in -3, 0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6471*a**3 - a**2 + 630*a - 1263. What are the prime factors of m(2)?\nAnswer: 191, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159 - -224. Is (-4)\/(-26) - (-52185)\/t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01727853 minus -505642?\nAnswer: 505641.98272147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 12920 - 12920.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**7*c)\/c)\/c)\/c**16 assuming c is positive.\nAnswer: c**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + 1. Let y(r) = -r**2 + 12*r - 35. Let h be y(5). Suppose h = -360*m + 356*m + 168. What is the remainder when m is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-35)\/25)*10\/3\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -420183, -840546, -1260909?\n\"Answer: -420363*x + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2329.8939 rounded to zero decimal places?\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*i - 2351 = -83 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2 + 7954*c - 15912 = 0. What is c?\nAnswer: -7956, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + sqrt(175) + -2).\nAnswer: -25*sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89766 + 113913068\/1269. What is the common denominator of r and -59\/376?\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -58) + 1 - (-6)\/(-3). Suppose c - y = 5*c. Let o(s) = s**2 + 13*s - 19. Calculate o(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24744 + -15079. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**4 + i**2\/2 - 1. Let h be o(1). Let f = -11 + 8. Put 2, h, f in decreasing order.\nAnswer: h, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + 186*d - 5264. Let f be c(24). What is the highest common factor of 264 and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -735 + 1283. Suppose -6 = 3*s - 2*c - a, -s + 164 = -4*c. What is the highest common divisor of 23 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h + 1. Let d be q(1). Suppose -5*s = -2*z + 21, -5*z = s - d + 20. Which is the second smallest value? (a) -0.4 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 1. Let h be i(6). Let u = 2 - h. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8846754 by -4.\nAnswer: -4423377\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 271*s**2 - s - 6530 wrt s?\nAnswer: 542*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b - 1. Suppose -5 = -2*g - 3. Is d(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 18. Let m = -29 + 31. Let z(u) = -6*u**m - b*u**2 + 13*u**2. Let g(v) = v. Calculate z(g(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 96. What is the hundreds digit of f(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -2*z**5\/5 + 3*z**4\/4 - 7*z**3\/6 - 7*z**2\/2 - 5*z - 158. Let q(t) = 4*t**3 - 4*t**2 + 3*t + 3. Give 3*i(x) + 7*q(x).\nAnswer: 4*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 11. Let u(a) = -3*a + 10. Let y(z) = 2*u(z) - 3*v(z). Suppose c = -0*g - 3*g - 13, -4*g = c + 16. Let q be y(c). Sort q, -5, 3, 1.\nAnswer: -5, q, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84*14540.\nAnswer: -1221360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2 - 2 + 5*f. Let y(j) be the second derivative of j**3 - 76*j. Calculate -4*h(n) + 3*y(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + m**3 + 8 - 2*m - 17*m**2 + 6 to the form k*m + n*m**2 + t*m**3 + g and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1387 - 1248. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.131 + -0.277. Let g = r + 0.246. Let z = 8 - 12. Sort -0.2, z, -5, g in descending order.\nAnswer: g, -0.2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 6*s**2 - 8*s + 27. Let b be u(-10). What is the first derivative of 30*o**4 - b*o**2 + 149 + o + 507*o**2 wrt o?\nAnswer: 120*o**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 224 = -3*r - 0*r, 0 = -3*r + 5*c + 244. List the prime factors of r.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 2*y + 3. Let d be 3 - -2 - 9\/3. Let w be u(d). Solve -w*o = -3*t - 3, -5*o - 3 + 35 = 4*t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 4:49 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 6:39 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -261*11\/198*-2\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5\/5 + 2297*z**4\/5 - 1322494*z**3\/5 + 790742*z**2 - 3949121*z\/5 + 1315609\/5 = 0 for z.\nAnswer: 1, 1147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*c*k**3 + 4*c*k**2 + 414*c*k + 1540*c - 710480567*k**3 wrt c?\nAnswer: 5*k**3 + 4*k**2 + 414*k + 1540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -19*w + 14*w. Suppose w*z - 12 = 7*z. Suppose 12076 = 2*g - 2*r, 0 = -2*r + 1 + z. Round g to the nearest one hundred.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (-80)\/(-15)) + (-10)\/(-3). Suppose -3*y + j*i = 4*i - 442, 16 = -4*i. Suppose 13*g = 10*g + y. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1392?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m. Let v(x) = x - 69. Determine v(p(a)).\nAnswer: 4*a - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 4:42 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 4*v**2 - 11*v - 14. What is the hundreds digit of z(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1068, -1063, -1048, -1017, -964?\n\"Answer: g**3 - g**2 + g - 1069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 70 (b) 2 (c) 0.4 (d) -7\/5 (e) 402 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 994 * 303.\nAnswer: 301182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5865 - -5808) + 1 + -6\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k**2 + 72463*k - 434571. What is d(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*c**5 - 73*c**3 + 8764*c wrt c?\nAnswer: -280*c**3 - 438*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 + z**5 + 0*z**5 + 2*z**5 - 3 + 3 + (0*z**3 + 2*z**3 - z**3)*(z**2 + 4*z - 4*z) + (-2*z**2 + 3*z**2 + z**2)*(z**3 + 3*z**2 - 3*z**2).\nAnswer: 7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-30))\/((-190)\/(-6498))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2*n*n**6)\/((n**(-8\/5)*n)\/n**(-10)) assuming n is positive.\nAnswer: n**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/128 and -63\/1766.\nAnswer: 113024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 2. Let s(q) = -4. Let k(g) = -9. Let d(c) = -3*k(c) + 7*s(c). Suppose -3*p - 7 = -2*m, -3*m + 4 + 7 = -5*p. Give m*u(n) - 6*d(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118076.4 months to years.\nAnswer: 9839.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b9 (base 13) in base 8?\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*l**2 + 29*l**2 - 67*l**2 + 6*l**3.\nAnswer: 6*l**3 - 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 - 168 = -5*q, a - 4*q - 29 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -50 * -0.04\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = 3*m, 7*z - 30 = 2*z + 5*m. Let i(r) = 89*r**2 + 14*r + 13. Calculate the lowest common multiple of z and i(-1).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 133*z**2 - 56*z - 70. Let s(n) = -47*n**2 + 19*n + 23. Let a(y) = 6*m(y) + 17*s(y). Give a(-13).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.3 + 5.3. Which is the third smallest value? (a) 2\/5 (b) i (c) -0.1 (d) 2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*x + 2734*x**2 - 121*x - 727*x**2 + 245*x to the form n*x**2 + b*x + o and give n.\nAnswer: 2007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Express 55*d**4 + 13*d**4 + d**4 + (-4*d**2 + d**3 + 4*d**2)*(13 - 26 + d + 19) as r*d + v*d**3 + l + s*d**4 + i*d**2 and give s.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 333009 and 19?\nAnswer: 6327171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 34 and -221519.7?\nAnswer: 221553.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxz when three letters picked without replacement from {l: 5, o: 1, x: 1, z: 10}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9484938\/119 - -79706. Let g = -6\/17 + x. Solve g - 6\/7*v - 10\/7*v**2 + 24\/7*v**5 - 64\/7*v**4 + 54\/7*v**3 = 0.\nAnswer: -1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)\/z**(2\/5))\/(z**(2\/7)*z)**30)\/((z**(2\/3)*z**3*z)\/(z**(-2\/3)\/(z**7*z))) assuming z is positive.\nAnswer: z**(-6122\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2304593623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 + 148. What is the remainder when c is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**2\/2 + 73821*v = 0?\nAnswer: -147642, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/2964 and 77\/256386?\nAnswer: 512772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1910?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 33073.\nAnswer: 2\/33073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15*(-9)\/(-75)*5\/3. What is the derivative of -114 + 16*p**4 + 2*p + 47 + 6*p**z - 6*p**3 wrt p?\nAnswer: 64*p**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72964\/51 + 6\/(-9)?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -56.1. Which is bigger: -14 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6318*j - 455157. Determine l(-72).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -393*b + 1. Is c(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -95*o**4\/12 + 3*o**2 + 5*o. Let x(k) = -k**2 - 6*k. Let g(a) = -a. Let m(u) = 6*g(u) - x(u). What is r(m(v))?\nAnswer: -190*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7 and -0.01445?\nAnswer: 0.024565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*3\/6 - (-20 - -14). Let g(p) = p**2 - 8*p + 5. Give g(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12965 = 4*d + r - 44337, 0 = 2*d + 3*r - 15696. Calculate the smallest common multiple of d and 10.\nAnswer: 39210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7850216.\nAnswer: 2, 11, 37, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 608 and 1856?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 5*g - 25, j - 4 = 2*g + 1. Suppose j*r = 5*z - 55, 5*z + 4*r - 8 = 11. Calculate the lowest common multiple of 10 and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*o + 6*o + 9 = 0, 2*i - 2*o - 6 = 0. Suppose -i*k + 125 = -235. What is the greatest common factor of k and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5073922?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 480931367 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 2*q - 10 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 - 8*y**2 + 6*y + 7. Let k be o(5). Let q = k - 47. What is the remainder when q is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**3\/7 - 296946*h**2\/7 - 1484668*h\/7 + 1781616\/7 = 0.\nAnswer: -148468, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -439881, -439842, -439803, -439764, -439725?\n\"Answer: 39*y - 439920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/4528 and -127\/6792?\nAnswer: 13584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 15*b + 4. Let h be r(4). Solve h*o - 3*o - 15 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(64\/(-12)))\/(-3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -68 - 47*k - 46*k + 5*k**2 + 93*k as m*k**2 + j*k + v and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 + -92. Solve -a*z + 3*z = 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 2, -5, 37 in ascending order.\nAnswer: -5, -3, 1, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*h + 45*h = -96. Let c be (h\/12)\/(2\/3). Let w be -1 + (1 - (-3)\/5). What is the second smallest value in w, -3, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - 0) + (-3 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/99008 and -131\/1870.\nAnswer: 5445440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(sqrt(242) + -1 + 5 + 3).\nAnswer: 20 + 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 10*s + 1. Let q(p) = p**3 - 4*p**2 - 9*p + 11. Let y = -72 + 77. Let j be q(y). Calculate z(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -284763 - -2b?\nAnswer: -284736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**5\/60 + 3*r**4\/8 + 7*r**3\/6 + 5*r**2. What is s(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 25*z**2 + 44*z + 51. Let l be ((-3)\/(-9))\/(24\/(-108)*(-3)\/46). Give d(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -157\/14 >= -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 18. Let t be x(-10). Suppose 4*c + 5*g = 20, 10 = -4*c + 2*g + t. Let l = -30 + 32. Solve l*n = a - 0*a + 6, -4*n + 20 = c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1699 = -14*u + 5609. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29583 is divided by 119.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/2106 and 23\/2574.\nAnswer: 23166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -978*x + 10*x**2 + 13*x**2 - 9*x**2 - 933*x + 1911*x.\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2490, -9119, -20160, -35607, -55454, -79695?\n\"Answer: b**3 - 2212*b**2 - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -541, 1.1, 34\/11.\nAnswer: -541, 1.1, 34\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qoo when three letters picked without replacement from {o: 8, q: 5}.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 512429.498 rounded to the nearest 1000?\nAnswer: 512000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 25*n**3 - 65*n**2 - 129*n - 20. Calculate j(-3).\nAnswer: -893","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4421250*a. Let x(c) = 1123*c. Determine 4*w(d) + 15750*x(d).\nAnswer: 2250*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 83796.\nAnswer: -1\/41898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2 = 8. Suppose -w + 5*o + 163 = 0, 28 - 406 = -i*w - 3*o. Is 33 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/7)\/i)\/(i\/(i\/(i**(2\/9)\/i*i)*i)))\/(i\/i**11*i**(-10\/3)) assuming i is positive.\nAnswer: i**(808\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 157?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.574317 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n - 3*t = 12, 4*n - 27 = 3*t. Let q(h) = -7 - 2*h - n + 10. Let k(v) = 126*v**2. Determine q(k(c)).\nAnswer: -252*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 290 = -8*r. Find the common denominator of -1 + 2 + r\/(-32) and -65\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, -5, -4, 3, 110, -2 in increasing order.\nAnswer: -5, -4, -3, -2, 3, 10, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**3\/3 + 2*v**2 + 2*v - 17. Suppose 0 = -2*z + 7*z - 20. Determine o(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -25?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -38728 divided by -22?\nAnswer: 19364\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8376165 = 31*c - 21897652. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from {e: 4, w: 7, m: 2, d: 1, r: 4}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4\/32)\/((-19)\/76)*(-2)\/2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 43 (b) 1\/6 (c) -2\/9 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6417, 6418, 6419?\nAnswer: 6420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 762 = -d - 2*b, 74*d - 69*d + 3832 = b. Is -767 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*z - 361*z + 214*z = -680 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3 = -59. Suppose r = 2*r - 4. Suppose -2*i - 66 = -5*j, -5*j = -r*j + 5*i + 3. Calculate the lowest common multiple of j and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31215 - 31214 = 3*p - 2*f, f + 58 = 20*p - 35 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssmmwmwswmwsww. What is prob of sequence ws?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 83354461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1656545 by 5.\nAnswer: 331309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138666 and 31706.\nAnswer: 11509278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from lggerflglrqeqe?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0 + (-6)\/(-2). Let d = y + -3. Solve d*v = 2*u + 2, v + 2*u - u = 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p - 400*p**3 - 5*p + 140*p**3 + (-p**2 + 0 + 0)*(-p + 0*p + 2*p) in the form r*p**3 + k + l*p + j*p**2 and give r.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 greater than 572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -87.7.\nAnswer: -35.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3991*a + 403094. Calculate t(101).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -8. Let r(h) = -h**3 - 7*h**2 - 4*h + 6. Determine r(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142447992 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (2 - (-3 + 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 338037, 676082, 1014127, 1352172, 1690217, 2028262?\n\"Answer: 338045*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 235 - -94. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + sqrt(21) - sqrt(21))\/sqrt(7) + -5*(-2*sqrt(3) - sqrt(3)))**2 + (sqrt(90)\/sqrt(3)*5)\/((sqrt(80)\/sqrt(4))\/sqrt(2)).\nAnswer: 5*sqrt(3) + 867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -1\/30*b**6 + 14\/3*b**3 + 0 + 40*b**2 + 3\/5*b**5 + 0*b - 5\/2*b**4. Determine l, given that u(l) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**6\/1020 - u**5\/255 + 21*u**4\/68 + 58*u**2 - u. Factor p(a).\nAnswer: -2*a*(a - 7)*(a + 9)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1.99. Let t = -4.99 + s. Suppose -1 = -k - 4*y, 2*k + 3*y - 4*y + 7 = 0. Sort -4, k, t.\nAnswer: t, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**3 - 135*g**2 + 75*g - 99. Calculate n(33).\nAnswer: -891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 40 = 4*v, -23 - 3 = -r - v. Differentiate 25*x**2 - r*x**2 - 11 + 0 wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/21152 and 107\/37016?\nAnswer: 148064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 729 or 725?\nAnswer: 729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 4*u - 2*u + 38, 0 = 5*u - 5. Let y = b + 8. Is y < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3670*d**2*q**3 - 23*d**2*q**2 + 141*d**2*q*x + 3*d*q**3*x + 13*d*q**2 - 9*d + 112*q**3*x - q**2 - 72*q wrt d.\nAnswer: -7340*q**3 - 46*q**2 + 282*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 10*u**2 - 10*u - 49. Let a be g(-7). Let q = -158 + a. What is the lowest common multiple of 70 and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 4. Let k be d(-5). Let g = k + 2. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6707551733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 5*a**2 + a + 7. Let y be t(-5). Let n(b) = -1 - 3 - 4*b + 2*b**y + 3*b + 2*b. Let j(u) = -6*u**2 - 4*u + 13. Determine -2*j(g) - 7*n(g).\nAnswer: -2*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -201095?\nAnswer: -201089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**3 + 621*l**2 - 29160*l - 314928 = 0.\nAnswer: -9, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 5) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -199 + 195. Let u(t) = -t**3 - 5*t**2 - 11*t + 2. Let c be u(s). Solve c*z + 6 = 33*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170 - (-32 - (-60 + 151)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/15)\/((-12080)\/200 + 61)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2672 + -2669.002. Let z = q - -0.002. Which is the third smallest value? (a) z (b) -2\/7 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3\/2, -5\/378?\nAnswer: -5\/378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.74 in -4\/7, -2\/87, -2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 10:26 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p - 8. Let m(l) = 8*l - 9. Let x(c) = -c**3 - 19*c**2 - 37*c - 57. Let j be x(-17). What is j*d(u) + 5*m(u)?\nAnswer: -2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -72?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87.577 - 9.577. Which is the fourth smallest value? (a) 1 (b) i (c) 0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(76) - -4*(sqrt(76) - sqrt(76)*-2))*2)\/(((-1*sqrt(224))\/sqrt(8))\/(-2*sqrt(63))).\nAnswer: 624*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 926 = 2*p - 4016, 4*o + 7725 = 5*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**(-3\/4)\/h)*h)\/h)**0*(h**(3\/5))**13 assuming h is positive.\nAnswer: h**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15553646 (base 7) in base 8?\nAnswer: 5603501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*l - 135*l + 67*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 5, 3, 625 in decreasing order.\nAnswer: 625, 5, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14648 is divided by 541.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.01959 (b) 4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5373903620?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2. Let g(s) = 5*s + 17. Let p(c) = c + 3. Let w(f) = 6*g(f) - 34*p(f). Give m(w(l)).\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3313 * 0.0617.\nAnswer: 0.02044121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 2 (c) -89\/14 (d) 2\/11 (e) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.11, -0.1, 0.3, 8\/3, -9, 98\/9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 4*x**2 + 9*x - 12. Let o be p(-6). Suppose 4*j + 22 - 8 = 2*y, -j - 35 = -4*y. Let m = y - 5. Solve 0 = -m*g + g + o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(1\/3)*h)\/h**(-12)*(((h\/(h**(2\/7)*h))\/h)\/h)**44 assuming h is positive.\nAnswer: h**(-1790\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/7224 and -9\/280?\nAnswer: 36120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5\/5 + 788*r**4\/5 + 146224*r**3\/5 - 3593118*r**2\/5 + 630099*r + 1377810 = 0.\nAnswer: -405, -1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -39*m**3 - m**2 - 4*m - 2. Calculate the remainder when 3232 is divided by h(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134764 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: b\"What is the hth term of 19, 68, 161, 310, 527, 824?\n\"Answer: 2*h**3 + 10*h**2 + 5*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95922 and 691164.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-80)\/(-15))\/((-1466)\/294 - -5). Calculate the greatest common divisor of g and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12435 * 0.391\nAnswer: -0.04862085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6588 = -120*a + 93*a. Let s be ((-2)\/(-3))\/((-10)\/15). Calculate the common denominator of a\/64 + (s - -1)*1 and 59\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*y = 247, 5*b - 393 = y + 30. Suppose 0 = -f + 2*x + 13, -f = x - 1 - 18. What is the highest common factor of f and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + j + 1. Let z(n) = 20*n**2 - 7*n - 11. Let x(g) = -5*c(g) - z(g). Let v be x(6). Let p = -143 - v. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f + 108. Let s be r(14). Solve 2*d = 2*n - s, 3*d - n - n = -13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*j + 21 = -8, -2 = 2*j. Suppose 5*q = 67 + b. Suppose 0*o - q = 10*o. Put o, 17\/4, -5 in descending order.\nAnswer: 17\/4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0769 + -0.0769. Put b, 37.8, 0.3 in increasing order.\nAnswer: b, 0.3, 37.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9873682.\nAnswer: 2, 7, 13, 54251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 j, and 2 i when four letters picked without replacement from iijinjinddnnnjdjzij.\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoh when three letters picked without replacement from ooyhohooooohohhohoyh?\nAnswer: 77\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 13*z**2 + 7*z - 9. Let x(d) be the third derivative of -7*d**5\/60 - d**4\/6 + 5*d**3\/6 + d**2 - 154. What is -4*l(u) - 7*x(u)?\nAnswer: -3*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.904 + 0.304. Let y be ((-4)\/10)\/(168\/(-60)). What is the nearest to r in y, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-35))\/((-6)\/(-30))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*c = 163, -c = 2*s - 7*s + 151. Suppose -s*w - 2572000 = -30*w. What is w rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*a - 13 = 0, 4*y + 3*a = -92 + 124 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15779 - -3598. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from {r: 1, k: 1, v: 2, d: 4, t: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 5016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v. Suppose 0*p - 5*p = -35. Let l(k) = -6*k - 7. Let d(w) = -2*w - 2. Let r(n) = p*d(n) - 2*l(n). Give r(a(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leeekleleklululell. Give prob of sequence ue.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.59 + 3.69. What is the closest to -0.1 in -6, f, 3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 1 = -3*j. Let q(l) = l**3 + 3*l**2 - 5*l - 2. Determine q(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 420\/225 + (-8)\/(-10) - 2. Sort -27, s, -1.\nAnswer: -27, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225) - 1*(sqrt(225) + sqrt(225)*1)) + sqrt(225))\/(sqrt(60)\/sqrt(3))*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 726986130 divided by 51\nAnswer: 14254630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 10 - 10 + 1 - 199*x as v + j*x and give j.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 14*w - 11. What is j(8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.69508 - 13.0950793. Let d = 1.4 - 2.8. Let o = u - d. What is o rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 1050*s**2 + 23586*s - 41. What is k(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -4, 0, 27, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*a - 3*k, -7*k - 13 = 2*a - 2*k. Let x(l) = l. Let b(d) = -2*d**2 + d. Give a*b(m) - 2*x(m).\nAnswer: -2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*y**2 - 106060*y - 217663 wrt y?\nAnswer: -6*y - 106060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -10159*g - 2. Is n(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - g - 4 - 8*g + g + 5*g. Determine y(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -119 (b) -11 (c) -4\/3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2. Let b(k) = 0*k**2 - 11*k**2 - 2*k**2. Give b(v(m)).\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 3*g**2 - 4*g + 1. Let i be l(-3). Suppose i = -10*f + 33. Factor 0*t - 1\/3*t**f + 1\/3.\nAnswer: -(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.053 times 0.2?\nAnswer: -0.0106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -c6bc222?\nAnswer: -c6bc21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20011 (base 3) to base 10.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**3 - 21*i**2 + 21*i**2 + (3*i**2 + 4 - 4)*(78 - 17 - 29)*(-4*i + 0*i + 5*i) + 3*i**3 + 0*i**3 + i**3.\nAnswer: 94*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 1. Let a = 28 + -21. Calculate the remainder when d(-5) is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9457.859 years?\nAnswer: 9.457859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 16, 1692 in ascending order.\nAnswer: -2, 16, 1692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114.092 - 0.892. Let u = -113 + x. Let s be -3 - -1 - 60\/(-32). Which is the second biggest value? (a) u (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25.5 and -7.\nAnswer: 18.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from fcfcflcclfcic.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 154*q + 6745. Determine f(-44).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6\/137 - 583\/16440. Let w(t) be the third derivative of -1\/2*t**3 - d*t**6 - 1\/30*t**5 - 2*t**2 + 0 + 0*t - 1\/12*t**4. Determine w(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 9:52 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1188376*o**2 - 980068*o wrt o.\nAnswer: 2376752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x + 23. Let k be g(4). Suppose -2*v + 38 = -4*q, q - k*v = 4*q + 51. Let u(h) = h + 14. Let l be u(q). Solve -5*d = 13 + 2, 5*y = -l*d + 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 415, 1671, 3765, 6697?\nAnswer: 10467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 94a720a7 + 4?\nAnswer: 94a72100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/9*3\/9. What is the closest to -2 in 0.5, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 + 3*l**2 - 4*l**2)*(15*l - 41*l - 2468*l**2 - 1003*l**2 + 26*l).\nAnswer: -10413*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 75*m = 18, 2213 - 2249 = -2*l + 5*m for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 2 = c - 20*m, -2*m = c - 2. Sort c, -13, 5.\nAnswer: -13, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 5*d + 25, 5*y - 3*d = 420. Suppose 4*w + y = 7*w. Calculate the highest common divisor of 135 and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z - 5*z)*(7 - 3 - 2) + 3*z + 0*z - 2*z + (2 - 2 - z)*(16679 + 14886 - 3595).\nAnswer: -27973*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.9 + 28. Let d = -5.1 + p. Let r = 0 - -0.3. Sort 3, d, r in increasing order.\nAnswer: d, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9419\/141735 + 2\/9449. Let l(z) be the second derivative of 0 + k*z**6 + 5\/3*z**3 + 6*z**2 - 12*z - 7\/6*z**4 - 1\/2*z**5. Suppose l(x) = 0. Calculate x.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 0*d**2 - 1 - 20*d**3 + 0*d**2. Let m(l) = 8616*l - 60313. Let n be m(7). What is z(n)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 17*l**2 + 4*l + 15. Determine z(-17).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (sqrt(3) - -1*sqrt(3)) + 2 + (1*sqrt(75)*1 - sqrt(75))**2 + 1).\nAnswer: 6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27392 is divided by 280.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -9, -4\/3, -2, 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*v - 6, 655*v + 2*j + 18 = 651*v. Let q = 13.9 - -3.1. Let u = q - 11. Which is the nearest to v? (a) -5 (b) 2\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-532)\/98)\/19*196\/(-36)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3756 (base 15) in base 9?\nAnswer: 17140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 417794982?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -5*x + 30, -1708 = -2*u - 1718 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54628 is divided by 280.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - v + 1. Let b be g(3). Suppose 0 = 2*c + 13*i - 9*i - b, 4*c = -5*i + 23. Find the second derivative of 9*j - 34*j**c - 29*j + 57*j wrt j.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -5c?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112 - -111.8. What is the second biggest value in t, -4, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110111100001 + -11?\nAnswer: 1000110111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/((-42)\/18)*7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yymmdzrr. Give prob of sequence mrm.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -11*o. Let a(z) = 9*z + 2 + z - 2 - 4*z. Calculate a(t(h)).\nAnswer: -66*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3379968 centimeters in kilometers?\nAnswer: 0.000003379968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16732853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/(-6) + -2)*(-22 - 4378\/(-198)). Find z such that -h*z**4 + 1\/6*z**2 + 1\/3*z - 1\/3*z**3 + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 3*s = 16. Solve -4*f + s = -z, -6*z = -z + 5*f - 15 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14\/3, 0, 5, 4, 481 in descending order.\nAnswer: 481, 5, 14\/3, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1065 divided by 318184\nAnswer: -1065\/318184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775 = -135*a - 1409 + 699 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x + 6*x**2 + 4 + 2*x - 4*x**2. Suppose g + 4*j = 3*g + 4, 5*g - 4*j - 20 = 0. What is the remainder when d(-6) is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 9 = 3*i, 20 = 5*u + i - 11. Suppose u*f - 4*f - 267 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2282870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5948611 or -1?\nAnswer: -2\/5948611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3703 - 4487 = -49*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3 = -11. Let x be f\/2*(-1 + 0). Let y = 0.6 + 3.4. Sort x, y, -3.\nAnswer: -3, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -67, -155, -277, -433, -623, -847?\n\"Answer: -17*i**2 - 3*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10 - -291) + (3 - -1). Suppose p = -2*t + 7*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -4*a + 104 - 78, -a = -3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.365 + -0.635. What is the closest to 0 in 2\/15, w, -2\/11?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 + -86.7. Let a = w + 3.8. Is a != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**3 + 43*h**2 - 194*h - 6. What is g(5)?\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + (-3)\/((-15)\/(-25)))*-1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 6 (c) -0.3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17728819 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10233169+-3243.8\nAnswer: 10229925.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 20 = -v, -4*j = 20*v - 24*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8972617 + 71.926.\nAnswer: 8972688.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -26. Let x = -26.1 + i. What is x rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14672782 or 14672779?\nAnswer: 14672782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 - (-885)\/(-90))*0. Let h(n) be the third derivative of 0*n + 0*n**3 + s + 11*n**2 + 1\/12*n**4. Let c(d) = 11*d**2. Determine h(c(k)).\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 5:44 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 8 + 1. Are 6 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117\/10 - 371\/30. Let a = 77 - 81. What is the closest to -0.1 in -73\/5, j, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 9*d + 13. Let z be g(-10). What is the units digit of -1 + (-1 + 43)\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1683*i + 1012. What are the prime factors of c(-15)?\nAnswer: 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = u - 0*u. Suppose -o = -2 - u. Suppose -4*m = -o*m + 12. Solve -1 = h + m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -137*v**2 + 1. Let d(o) = -130*o**2. What is y(d(r))?\nAnswer: -2315300*r**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s**3 + 12*s**2 + 6*s + 12. Let r(q) = 4*q**3 - 10*q**2 - 5*q - 12. Calculate 5*l(f) + 6*r(f).\nAnswer: -f**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 - 17*s - 9. Does 19 divide v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**3\/6 + 11*b**2\/2 + 4*b. Let v be c(7). Find the third derivative of -6*o**2 + 4*o**5 - v*o**5 + 5*o**5 wrt o.\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 5*t - 23. Let j be f(8). Let n = 3 + -3. What is the units digit of (-5 - -26)\/(j + n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15982 times 5?\nAnswer: -0.7991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/20274 and 19\/55590.\nAnswer: 1723290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*q**2 - 5*q**4 - 8*q**2 - 4*q**2 - 7*q**2 wrt q.\nAnswer: -120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-4))\/((56\/8)\/7). Let r(p) = p + 1. Let k be r(3). Which is the nearest to g? (a) k (b) -1\/8 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/18*-4 - 70\/(-15). Let c be ((-2)\/v*-1)\/((-32)\/1088). Let t(o) = -9*o**2 - 6*o + 6. Let p(h) = 26*h**2 + 17*h - 17. Calculate c*t(f) - 6*p(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (3\/(-3))\/(1\/(-4)) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i. Let d(c) = -c**2 - c + 1. Suppose 0 = b + 3*b - 8. Let r(w) = 0*w + 4*w - 6*w + b. Let q(z) = -2*d(z) + r(z). Calculate q(y(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3332 and 3332.\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 38 (b) 0.1 (c) -1\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + (-84 - -45) + 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**5\/5 - 648974*m**4\/5 + 648962*m**3\/5 + 3244854*m**2\/5 + 1946916*m\/5 = 0.\nAnswer: -1, 0, 3, 324486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 1:49 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9646 - -5432. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -148*((-135)\/(-240))\/(549\/244)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(-154) - 235\/105.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 - l**3 + l**3)*(0 + 0 - 1) + (-l**2 + 4*l**2 - 6*l**2)*(0*l**2 - 2*l**2 + 3*l**2).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 973207 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 23. Let f be y\/2*(-10 + 12). Sort 3, 4, 2, f in decreasing order.\nAnswer: 4, 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microsecond in nanoseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 17*g + 6 - 1.\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - sqrt(2592)*-3)*-1)**2 - (0 + (-3 + sqrt(18)\/(sqrt(36)\/sqrt(4)))**2).\nAnswer: 6*sqrt(2) + 24631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*r + 126 = 0, 3*k + 129 = 4*r - 5*r. Let m = -38 - k. Suppose -m*u + 360 = -u. Does 24 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + -1*(sqrt(95)*2 - sqrt(95)) - (sqrt(95) + -4*1*sqrt(95) + sqrt(95)))\/((-6*-1*sqrt(25))\/sqrt(5)*2))**2.\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3615283.\nAnswer: 7, 516469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 3:34 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10623628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -34105960488?\nAnswer: -34105960486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(400)*1).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i**3 - i**2 + 1. Suppose 2*c - 5*y = 3*c + 11, -3*y - 6 = 0. Let x be l(c). Let w(j) = -5*j + 3. Let u(g) = -11*g + 7. Give x*w(z) + 3*u(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 29605*i. Let o(a) = -7*a + 750628 + 9*a - 750628. Calculate o(m(g)).\nAnswer: 59210*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -103, -116, -131?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -176 - -187 - (12 + -1). Suppose 0 + x*p + 9\/4*p**2 + 3\/4*p**3 = 0. Calculate p.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.454238um in centimeters?\nAnswer: 0.0000454238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 704221.34 + -704211.3399966. Let a = q - 10. Round a to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jww when three letters picked without replacement from {l: 3, j: 4, k: 1, w: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.5, -3, -0.5 in increasing order.\nAnswer: -3, -0.5, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*f**4 - 13*f**4 + 39*f**4)*(-2 + 3 + 0)*(-2*f + 9*f - 4*f).\nAnswer: 117*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -191 - -190.971. Let x = p + 0.02797. Round x to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = k - 2. Let x be (4 + -7)\/((-6)\/k). Suppose x*d = 3*d + 10. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 - 6*j**2 + 5*j**2 in the form w*j + s + t*j**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(39)\/sqrt(3) - sqrt(13))**2 - -3*(sqrt(52)\/sqrt(4))**2) + -5.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20229, 2, 3.\nAnswer: 2, 3, 20229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -56*j**2 - 8688*j + 43519. Calculate h(-160).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41890\/161525 - 3\/105.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6701.822l to millilitres.\nAnswer: 6701822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7048)\/16)\/(((-3)\/12)\/1). Is 21 a factor of g\/7 - ((-88)\/28)\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3830)\/(-3064) - (-706)\/(-552)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 5 (b) 2\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68737.\nAnswer: 68737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h = -29*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -2020000003?\nAnswer: -2020000012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -0.848\nAnswer: 10.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 2*a - 3.\nAnswer: (a - 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 3*c - 54 = 0. Suppose c*w + 3453 = 19083. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 17. Suppose 2*t - c + 15 = 0, -t + 3 = -0*t - 4*c. Let m = p + t. Calculate the least common multiple of 22 and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25779 is divided by 1980.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 6*u + 7. Let f be c(10). Let r = f + -20. Let m be (3\/r)\/((-4)\/(-6)). What is the third smallest value in -0.2, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23809, -47567, -71315, -95053, -118781, -142499?\n\"Answer: 5*s**2 - 23773*s - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2. Let l(b) = 2671*b. Let r(w) = 18675*w. Let p(o) = -15*l(o) + 2*r(o). What is p(s(u))?\nAnswer: 2715*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2 - 13*o - 3. Let n(v) = 8*v**2 + 27*v + 5. Let y(c) = 3*n(c) + 5*q(c). Solve y(g) = 0 for g.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 8:10 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171769.443 rounded to the nearest one hundred?\nAnswer: 1171800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/11))**(-26) assuming s is positive.\nAnswer: s**(-52\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 94\/3 + 8\/(-6). Let c = i - 46. What is the units digit of 32*(-4)\/c*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + 31 + (-21 + -14 + 15 - 1).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 34*l + 0 + 3 - 5 - 1. Is j(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - w - w**4 + 443313 - 443309 + 9*w**3 + 0*w as a + s*w**4 + h*w**3 + g*w + i*w**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 0)*(2 - 5 + 2)*(65*b - 3*b - 8*b) as t*b + w and give t.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 314574 by 6.\nAnswer: 52429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -6, 0, -4, 4, -38 in increasing order.\nAnswer: -38, -6, -4, -3, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (2 - -7) - (14 + -11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13037.\nAnswer: 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012475 to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*w - 8 = 0. Solve -4*a + 10 = 2*y, -w = 2*y + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2, -26*b + 136 = 71*c - 74*c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14685902?\nAnswer: 2, 7, 11, 47, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*c + 100 = 0, -5*d + 4*c = -0*d - 125. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*b = -47*b + 527 + 3118 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5070*y + 0 - 62*y**2 - 1147*y - 1.\nAnswer: -62*y**2 - 6217*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37330*i**3*m*r**2 - i**3*m*r - 15*i**3*r + 8*i**3 - 3*i*m*r**2 + 36*i*m + 2*m*r + 4*r**2 wrt r.\nAnswer: 74660*i**3*m - 6*i*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3 + 14 + 13*t - 54*t. Let q(d) = -7*d + 3. Suppose k + 4*m = -42, 10*m = -3*k + 14*m - 94. What is k*q(y) + 6*f(y)?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 1042?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 2*v + 5*v + 3*v in the form m + n*v and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5908603 or -5908604?\nAnswer: -5908604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 2*k**2. Let y(w) = -21*w**3 + 4*w**2 + 6. Give 2*x(j) + y(j).\nAnswer: -23*j**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 13*o**2. Let s(u) = -12*u**2. Give p(s(r)).\nAnswer: 1872*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45103?\nAnswer: 23, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-864)\/96*2\/18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 z when four letters picked without replacement from {z: 6, g: 4, d: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 10*a**2 - 140*a - 959. What is q(-8)?\nAnswer: 801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1004*v + 12050. What is i(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 0. Suppose z + x*z - 120 = 5*d, 5*d - 10 = 0. Suppose 0 = 4*u - z - 14. 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: What is the lowest common multiple of 296 and 161?\nAnswer: 47656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 1347. Let b be z(0). Let l = 3664 - b. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 600, 1166, 1732, 2298, 2864?\nAnswer: 3430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-24 + 1 + 12)) + -8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1275?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 90844726 and 3416.\nAnswer: 90848142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111334?\nAnswer: 2, 55667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -67, -277, -627, -1117, -1747, -2517?\n\"Answer: -70*a**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -367 - -361. What is the nearest to -1\/6 in -0.2, a, -2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -305.\nAnswer: -1\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*f - 2 = -162 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6537*c**2 + 9280 wrt c.\nAnswer: 13074*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**3\/6 + r**2\/2 + 21*r + 12. Let z(n) be the first derivative of g(n). Calculate z(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/5 - 232*x**2\/5 - 1456*x = 0 for x.\nAnswer: -28, 0, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010968587 rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjtutjuucwqwtqu. Give prob of sequence uqq.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 - 6*k - 3. Suppose 5*x + 0 = 25. Let j(f) = -4*f**2 + 7*f + 4. What is x*g(r) + 4*j(r)?\nAnswer: -r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3665 + 3665 + 135*j)*(-j**2 - 4*j**2 + 3*j**2) in the form h + z*j + v*j**3 + l*j**2 and give v.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1 - 15?\nAnswer: -21.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, k: 6, o: 2, j: 1}. What is prob of sequence kd?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*g + 2 = 0, 4*d + 4*g = 51 - 11. Let a be (-30)\/(-12) - 11\/(-22). Suppose a*t - s - 8 = -4, -s = -4*t + d. Solve -1 = -m, f + t*m = -1 + 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*((a*a*a**(-3\/5))\/a)\/a)\/((a\/(a*(a*a\/((a\/(a*a*((a\/(((a\/a**(26\/5)*a)\/a)\/a))\/a)\/a*a))\/a)*a)\/a))\/a)*a**(9\/4)*a**(-19)*a assuming a is positive.\nAnswer: a**(-103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 3*b**2 + 1. Let t(z) = z + 11. Let f be t(-13). Let i be 7\/14*(-5 - (1 + f)). Determine n(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*c + 21, -3*t + 7 = 12*c - 11*c. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -33 + 33 - 6*h. Let a(i) = -7*i. Calculate 5*a(v) - 6*n(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(114)\/(sqrt(6) - (sqrt(6) + (sqrt(6) - 1*sqrt(6)))*1 - sqrt(6)))**2 + (sqrt(76)\/sqrt(4)*-4 - (sqrt(76)*3 + sqrt(19)))**2).\nAnswer: -11590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 912036370 a multiple of 12035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3367604\/1057 - 3186. Suppose y - 5*f + 14 = 3, y - 9 = -5*f. Is y at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2539.06673 times -2?\nAnswer: 5078.13346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/s**5*s**(2\/3)*s*(s\/(s\/(s*s**(-4\/3))))\/s*s**(-1\/7) assuming s is positive.\nAnswer: s**(-59\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 8. Suppose -5*d = 25, -f*l - 5*d = -l + 29. Let x be ((-4)\/(-14))\/l + (-37)\/(-7). Put -0.14, 3, x in decreasing order.\nAnswer: x, 3, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 7*j**2 + 9*j + 17. Let f be d(-8). What is the second derivative of -2 - 2*t**5 - 2 + 3*t**4 + 2 + f*t wrt t?\nAnswer: -40*t**3 + 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eccceeccce. What is prob of picking 1 e and 1 c?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-1)*(-1)\/7. Is 0 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 11203088*b**2 - 15688658795050*b - 31377272777764.\nAnswer: -2*(b + 2)*(b + 2800771)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2 - 1 + 3 + 2*m. Let k(z) be the second derivative of -z**4\/2 - z**3\/6 - 14*z. What is k(u(v))?\nAnswer: -24*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 93\/(-279) - 2\/((-6)\/109)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -247, -0.1 in descending order.\nAnswer: 0, -0.1, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 less than or equal to 10.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a - 2. Let h be i(4). Let x = h - 11. Solve 3*v = -2*v - x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1856849 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l + 0*l - 2*l. Let n(g) = 30 - 6*g - 12 - 18. Determine 5*i(w) + n(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168840 (base 9) to base 10.\nAnswer: 104931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**3 + 20*x**2 + 4*x + 4. Let z(j) = j**3 + 5*j**2 - 2. Determine q(o) - 4*z(o).\nAnswer: -7*o**3 + 4*o + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 13163843*p**2.\nAnswer: -p**2*(p + 13163843)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3*3240\/36 - -2. Let j = -113\/2 - y. Which is the third biggest value? (a) -1 (b) -11 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7561291787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -26. Suppose -685 = 5*i - 4*i - t*d, 0 = -3*d + 3. What is i rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2545 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (30 - 15 - (-1 - -4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57234823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7643609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -462 (base 11) to base 7.\nAnswer: -1416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*16\/8)\/((-4)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11918, -1\/7, 2\/9?\nAnswer: 11918","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 5, 118, 13, 4.\nAnswer: -5, -4, 4, 5, 13, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -62\/3647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(((l\/(l*l**(-2)))\/l)\/l))**(2\/9)\/(l*l**(-1\/3)*(l*l*l*l*l**(3\/5)*l*l)\/l) assuming l is positive.\nAnswer: l**(-272\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**2 - 644*o + 1912. Determine m(-110).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3358 and 10552734?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -45.88 + -100\nAnswer: -145.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4477592 and 14504?\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**2 + 35*c + 62. Let o be u(-2). Solve 16*s - 18*s = o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + t - 17 = 0, 0 = t + 14 - 19 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486142575.\nAnswer: 3, 5, 769, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + o - 1. Let p(n) = 3*n**2 - 3*n + 3. Let h(s) = p(s) + 4*x(s). Let l be (36\/24)\/3*-8. Let c(y) = -3*y**2 + 4*y - 1. Determine l*h(m) + c(m).\nAnswer: m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -10. Let d(x) = x**2 - x + 120. Let n be d(y). What is the greatest common divisor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 5)*(-10940*t + 794*t + 437*t**2 - 436*t**2)*(3*t + 0*t - 5*t) as q*t**2 + p*t**3 + n + v*t and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1002 - -3302. Is 92 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-8))\/(((20\/28)\/(-1))\/((-744)\/(-868))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(147) + sqrt(3) + (sqrt(3) - (sqrt(12)*-1)**2) + 1 + (sqrt(24)\/sqrt(8)*6 + -4)**2)*-5.\nAnswer: -565 + 335*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(-1\/3)))\/q)**(3\/5)\/((q\/q**(-7\/8))\/(q\/(q*q*q*q*q**(2\/21)))))**(1\/4) assuming q is positive.\nAnswer: q**(-4847\/3360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -25 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + j**2 + 1. Let c(f) = 10*f**3 - 11*f**2 - 9. What is -2*c(b) - 18*m(b)?\nAnswer: -2*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -6555040?\nAnswer: -6555042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.042038 rounded to 3 dps?\nAnswer: -3.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 130\/8 - 5\/(12 - -8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 18 + (-4 - 1 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 4 - (-3 + 2) - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 15 = -5. Let z(b) = -3 - 3*b**2 + 28*b + 7*b**2 + 7 + b**2. Let h(k) = -k**2 - 7*k - 1. Let d(v) = c*z(v) - 9*h(v). Give d(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 40 = -5*s + 4*s, 3 = q - 2*s. Calculate the highest common factor of q and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in -5, -0.2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50.7 - -50.5. Let p = 0.049 + -1.049. Which is the nearest to 1.7? (a) -5 (b) p (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 15 + 0)*(3*g**4 - 4*g**4 - 2*g**4) to the form q*g**3 + m*g + o + u*g**2 + b*g**4 and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0*8\/(-200)*5)\/(-1). Solve m + g = 8, -3*m + t*g = -3*g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + b)*(b - 6*b + b) - b**2 + b**2 + b**2)*(12*b - b - 3*b).\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56101620, -56101619, -56101626, -56101647, -56101688, -56101755, -56101854, -56101991?\nAnswer: -56102172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006107 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - ((5 - 31) + 9 + 4) - 21) + 100.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and 0.063?\nAnswer: -0.00693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 + 2526*c**3 - 2129412*c**2 + 601188850*c - 1784469963.\nAnswer: -(c - 841)**3*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 195, 193, 181, 153, 103, 25?\n\"Answer: -f**3 + f**2 + 2*f + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 4, q: 5, s: 2}. What is prob of sequence gg?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 9*s**2 - 4*s - 53\/24*s**4 + 0 + 0*s**3. Let c(t) be the first derivative of -2*t**3\/3 + 5. Determine l(c(d)).\nAnswer: 106*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k - 47 = 184 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 618 and 5447979.\nAnswer: 10895958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 4 - 4 + (0*k + 5*k - 3*k)*((3*k + 3 - 3)*(9 - 3 + 2) - 3*k + 12 - 12) as y + c*k + f*k**2 and give f.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3610, -3588, -3564, -3538, -3510, -3480, -3448?\n\"Answer: c**2 + 19*c - 3630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10 + 2 = 5*b, t - 5*b + 18 = 0. Suppose -t*d + 407 = 3*j, -j + d + 133 = -1. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 7*m - 2. Let k be n(4). Suppose -k = -4*b + 6. What is the units digit of ((-12)\/3)\/(b\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1914 and 434652.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 4:19 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2587 is divided by 202.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-25)*c)**(2\/7) assuming c is positive.\nAnswer: c**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, 38, 105, 204, 335, 498?\n\"Answer: 16*x**2 - 13*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(d**2 - d**2 + d**3) + d**3 - 6*d**3 + 4*d**3 + 4*d**3 + 2*d**3 - 2*d**3 + (-8 + 7*d**2 + 8)*(-2*d + 3 - 3).\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 - 2*y + 2. Calculate the remainder when 55 is divided by u(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 22*d - 205. Let x be (22 - 18) + (-5)\/(d\/12). Factor x + 2\/15*b**4 + 16\/5*b**2 - 6\/5*b**3 - 32\/15*b.\nAnswer: 2*b*(b - 4)**2*(b - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14068, -14240, -14412, -14584, -14756?\nAnswer: -14928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 369128888 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -509\/24278 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*z - 63 = 0, -z - 31 = -3*u - 2*z. Let m be (u + 1)*1\/(-1). Let k be (-2 + m)*(-1)\/3. Solve 0 = 3*a - k*l + 9, -3*a - 4*l = l - 21 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 26. Let f(r) = u*r - r + 5*r. Calculate f(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/223 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17088743 and 174.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 - -91 - ((-264)\/40)\/((-2)\/5).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + 0 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - ((-2250)\/(-4) + 2). Let h = -576 - i. Let l = 11 + h. What is the second smallest value in 1\/3, 5, l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-6360)\/(-425))*(-10)\/(-18)?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**6\/33 + 2*h**5\/11 + 18*h**4\/11 - 1578. What is c in o(c) = 0?\nAnswer: -4, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-25)\/(3 - -2) + 2097\/3.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 204 = -4*t, 0 = 2*t + 3*b - 0*b - 86. Let m = t + -27. Solve -4*g - 12 = -0*g + 4*i, 4*i = g - m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 172461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21584120 a multiple of 1618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14632665 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3043? (a) 0.5 (b) 0.4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.13 + -5.13. Suppose 4*k + 109 + 51 = 0. Let o be (-1 + (-44)\/k)*(-12)\/(-2). Sort d, 4, o, 5.\nAnswer: d, o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.42, 2, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from zmcpmpzzpvpp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 54\/11, 1, 0.14, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282 = 12*q + 354 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, x: 1, r: 1}. What is prob of sequence crr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 609, -314, -1851, -4002?\n\"Answer: -307*u**2 - 2*u + 918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 1. Suppose -9*a + 4 = 40. Is f smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/16)\/(3*(-9)\/(-12)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8bcc6 (base 16) in base 8?\nAnswer: -2136306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 7 + -3 - -2) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 29348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 57.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*b + 127*b - 55*b - 288376 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 641.\nAnswer: -30\/641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1481400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 252215400 rounded to the nearest one million?\nAnswer: 252000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23 and 4.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 1\/8*v**6 + 0 - 1\/15*v**5 + 1\/6*v**4 - 1\/3*v**3 - 6*v**2 + 0*v. Is s(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -5*u**2\/2 + 60*u - 48. Let f be y(12). Solve -4*b - 11 + 3 = f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 963 - 794. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 - 13*s - 7. Let h be i(7). Let r(a) = -2*a**2 - 2*a + 75. What is the remainder when r(h) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*r + 456 = -144*r. What is the highest common factor of 408 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by -36.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 30 = -f. Suppose 4*u = -m + 31, 32 - f = 3*u + m. What is the greatest common divisor of 10 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4097092.7128348 + 4097091. Let a = -2.2871647 + z. Let y = -4 - a. Round y to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258997, 258996, 258993, 258988, 258981, 258972?\nAnswer: 258961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**5\/2 + 4*p**3\/3 + 3*p**2\/2 - 67*p. What are the prime factors of b(-3)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32.6 - 33. Which is the second biggest value? (a) m (b) -2 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 6*v**2 - 8*v + 10. Let y be n(7). Suppose p = -x + 2*x, 0 = y*x + 5*p - 24. Suppose 7 = -3*d + 22. Solve -d*g = -6*g + x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -236362217 + 11?\nAnswer: -236362206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 2*s - s)*(1 - 1 + 2)*(2 + 5 + 0)*(-1 + 3 - 4)*(-48 - 71 + 200).\nAnswer: 4536*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-4)\/12)*144\/108. Let i(j) = -2*j**2 + 4*j + 5. Calculate i(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + v = -3, -k + 3*v + 2 - 9 = 0. Let i be (k + 2)\/1 + 1. What is the first derivative of 0 + i*t**3 + 2 - t**3 wrt t?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90206 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r + 9. Let w be c(0). What is the second derivative of -f + w*f - 40*f**3 - 5*f wrt f?\nAnswer: -240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82.879 - -0.121. Let o = y - 30. Let x = o + -47.2. Round x to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111201002122 (base 3) to base 12.\nAnswer: -1a5372b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 14784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -70. Calculate the greatest common divisor of t and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 5*v**3\/3 - 3*v**2 + 114. Let q(i) = 6*i**2. Calculate d(q(w)).\nAnswer: 180*w**4 - 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4284562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*r**4 + 70*r**4 - 27*r**4 + 3)*(-4*r + 3*r + 2*r)*(-1 - 1 + 10).\nAnswer: 64*r**5 + 24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 277136 (base 14) in base 12?\nAnswer: 559438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3174795600 to the nearest 1000000.\nAnswer: 3175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 90. Let d = -70 - u. Solve 2*j + 5 = -b + 2, -4*j - d = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 13*d**2. Let l(t) = 4262*t. Determine l(f(h)).\nAnswer: 55406*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72443?\nAnswer: 7, 79, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663\/13 + -1 + 3 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f + 5*f**2 - 4*f**2 - 2*f**2. Let t be q(6). Solve -3*s + 6 - 15 = t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1580*h + 292*h - 3 - 5 + 8)*(-2 + 4 - 3 + (-1 + 2 - 3)*(-2 + 2 + 1) + 5 - 4 + 3).\nAnswer: 1872*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -9*t + 28 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147 - 288 + 115)*(-t - 4 + 4).\nAnswer: 320*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1545023?\nAnswer: 19, 233, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8208\/3420*((-25)\/40)\/((-1)\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 806230879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**2)**(3\/8))**(-2\/11))**(1\/12) assuming w is positive.\nAnswer: w**(-1\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from {m: 3, w: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from tguxgtkggexkg.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 + 5 = -24*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 504*y + 4539. Let b be k(-9). What is the nearest to 3\/7 in b, 0.5, 0.045?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 22 + 56)*(123 + 13317*q**4 - 3*q**3 - 13319*q**4 + 4*q**3).\nAnswer: -144*q**4 + 72*q**3 + 8856","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -7, 5, 4, 22 in decreasing order.\nAnswer: 22, 5, 4, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 223 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/12838 and 51\/14672.\nAnswer: 102704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1059, -3080, -5087, -7080, -9059, -11024?\n\"Answer: 7*r**2 - 2042*r + 976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -8)\/(-24) + (-14)\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37098 - 20498. What is h rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*h + 115, -v + 0 = -5*h + 7. Suppose w - v = 5*l, 3*l + 12 = 5*w + 4*l. Solve -14 = -w*s + 4*n, -n - 2 + 8 = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*f = 12004, 2*a - 4*f = -a + 7208. Suppose 5*r + 1 - 11 = 0. Suppose -r*c + a = -0*c. What is c rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j + 4 = 0, -j + 2002 = 2*h. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 3421?\nAnswer: -13684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -109 and -3\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5338 or -5339?\nAnswer: -5339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 52486094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282*f = 286*f - 40. Suppose 0 = f*u - 15*u + 610. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from abbbbkbaka?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l, -2*l - 8 = -0*v - 4*v + 3*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102200212 + 11?\nAnswer: -102200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 12*j + n - 31 = 0, 0 = -5*j + 3*n + 47. Suppose j*c = -261 + 485. What is the remainder when 83 is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -17 + (18 - -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650526594?\nAnswer: 2, 3, 108421099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -111, -267, -239, 207, 1305, 3289?\n\"Answer: 39*k**3 - 142*k**2 - 3*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 45\/(-9) - (-84)\/4. Suppose g = 2*x - 3*g + k, -g + 3 = -x. Solve 0 = x*w - 4 + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59606 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (-21 - -1) - 1. Let u(y) = -y**2 + 12*y + 36. Let g be u(m). Let j(q) = -44445*q - 5. Let k be j(g). What is k rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 p when three letters picked without replacement from pxpxx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 4*m**2. Let u be w(-4). Let k be ((-34)\/28 - (-8)\/(-28))*6\/18. Put 5, u, k, -1 in increasing order.\nAnswer: -1, k, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 + (-145)\/(-10). Is 13 a factor of 4\/(-14) + 186\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5212365 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -87, -90, -75, -30, 57, 198, 405?\n\"Answer: 2*c**3 - 3*c**2 - 8*c - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2*o - 38349, 3*y - 6*y + 5*o - 22998 = 0. Let f = 536983\/70 + y. What is the common denominator of f and -61\/8?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * 3169.4.\nAnswer: 3486.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -13, -34, -75, -142?\n\"Answer: -i**3 - i**2 + 3*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -10\/17811 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2 + 10189758*u - 10189756 = 0.\nAnswer: 1, 5094878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -218*q + 441. Determine w(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 2 = -3*b. Suppose -4*u + b + 128 = 0. Let z = 0 + u. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -132444 + -131?\nAnswer: -132575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 41 = 19. What is the second smallest value in -5, h, -3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 + 10*n**2 + 29*n - 12. Let q be z(5). Solve 33*w + 91 = -q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*y = -46309 + 44857 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/21)\/v*v\/v**(-2\/13)*v assuming v is positive.\nAnswer: v**(328\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 122184 divided by -9\nAnswer: -13576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 29\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52656.1 and 0.5.\nAnswer: -26328.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 + 55. Let s be 2\/(-1) - (10 + d). Suppose -s = 2*p - 27. Solve 0 = -5*w - 1 + p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 142 + -12. Let b = s + -130.00292. What is b rounded to 4 dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4752372?\nAnswer: 2, 3, 396031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 13*t**2 - 12*t + 6. Let m be c(-12). Solve 3*f = y + m, -4*y = 5*f - 8*y - 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 35 (b) -274\/11 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-4 - -6) + 0. Suppose 0 = -h*p - 3*p + 185. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*g**3 + 320*g**4 - 320*g**4 - g**5 - 136*g**3 + 444*g**2 wrt g?\nAnswer: -60*g**2 - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*(-3)\/20)\/(3\/15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 7:10 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 6*d - 2*d. Let p(o) be the first derivative of o**3 - 4*o**2 - 10*o - 1. Is p(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/5))\/v**(2\/7))\/(v**(1\/10)*v**(-5\/4)) assuming v is positive.\nAnswer: v**(317\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w + 3*w**3 + 6*w + (-229 + 229 - 122*w)*(7*w**2 - w**2 - 2*w**2).\nAnswer: -485*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2869*z**3 + 2868*z**3 + 176 + 7)*(-z - 4 + 4) to d + i*z + t*z**4 + l*z**2 + v*z**3 and give i.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145772 is divided by 343?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47750 or 381999\/8?\nAnswer: 381999\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17280, 69073, 155394, 276243, 431620, 621525?\nAnswer: 845958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42003 = -9*x + 149508. Let j = x - 15140. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/683, -5, -0.5?\nAnswer: 2\/683","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 122*w - 129*w + 21. Solve -4*u - 4*f = -w*u - 16, 5*f = -u + 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*c = -108, c + 14 = -s + 36. Suppose -6*b + 2*b - 5*m + 57 = 0, -4*m - s = -5*b. Solve 0 = -2*a - 2 + b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16\/3, 0.26, -4?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6287675*k**4 + 2*k**3 + 16121376*k**2.\nAnswer: 150904200*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w + 161. What is k(-23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yne when three letters picked without replacement from rernpyndy.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -80 - 112. What is the greatest common divisor of 48 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/(154\/11) - (-13 + 272\/64).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38912 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4882 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 25949.4645443579?\nAnswer: -25944.4645443579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)*n*n**(5\/4))\/((n*n**5)\/n**2) assuming n is positive.\nAnswer: n**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 5:36 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10 + 14 - y - 6. Suppose 0 = -0*w + w. What is the units digit of i(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10233 (base 4) to base 15\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 10850.\nAnswer: 10850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -152.98783 - 0.01217. What is the third biggest value in 1\/2, b, -2\/13, 3, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5202 * -1.01818.\nAnswer: -5296.57236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -833.03 and -4.4?\nAnswer: 3665.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 10. Let t = f + -12.05. Let y = -1.55 - t. What is y rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331575786 divided by -306?\nAnswer: 1083581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c - 4. Let s(h) be the first derivative of 4*h**2 + 5*h - 4. What is 5*l(o) + 4*s(o)?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*v + 4*s - 15, -5 = 5*v - s. Suppose -75238*n = -75196*n + 168. Sort 3, v, -5, n in decreasing order.\nAnswer: 3, v, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 5:21 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -58, -5, -4, 7 in increasing order.\nAnswer: -58, -5, -4, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*p, 2*l - 3*p = p - 2. Let v = 13593 - 13600. Let z(i) = -7*i + i - 2*i + 3 + i. Let g(m) = -10*m + 4. What is l*g(u) + v*z(u)?\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 3. Let y(r) = 5*r**2 - 7. Suppose 2*n + z = 6*n - 29, -z + 1 = n. Let o(g) = n*y(g) + 14*p(g). Let u(h) = -9*h**2. Calculate o(u(b)).\nAnswer: 162*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -35461 bigger than -602838\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.7379 rounded to two decimal places?\nAnswer: -11.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by (2 + -4)*-10 - 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 945\/735 - (-23)\/(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(171) - sqrt(19))**2*4 + (-2*sqrt(1900))**2*5.\nAnswer: 38912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13132 (base 4) to base 3\nAnswer: -122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 5*z**2 + 5*z + 4. Let b be t(4). Suppose -2*q + b = -6*q. Suppose -u = 2*w - 10 + 3, 2*u - 10 = 0. Sort q, 2, w in descending order.\nAnswer: 2, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.4, 1.11, 2\/7, -0.2.\nAnswer: -0.3, -0.2, 2\/7, 0.4, 1.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 9*y**2 - 1692*y**4 + 4 + 1695*y**4 - 6*y - 4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, o: 4, u: 8}. What is prob of sequence oou?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c**3 + 15*c**2 - 348*c - 5. Let v(w) = 2*w**3 - 3*w**2 + w + 1. Give q(u) + 5*v(u).\nAnswer: 2*u**3 - 343*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 602337 to the nearest integer?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrzzrzzzzz. Give prob of sequence rz.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*a - 5, 16 = 5*q - 5*a - 9. Suppose 6 = -q*s, -75 = 7*m - 3*m + s. Suppose -3*w = 12, 0 = -4*y - 0*y - 3*w - 80. Which is smaller: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + (sqrt(117)*-1*-5 - sqrt(117)) + sqrt(117))\/sqrt(9))**2*-3 + -5.\nAnswer: -1409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -782 (base 10) to base 2\nAnswer: -1100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*y - 24, -3*s + 4*s + 22 = -5*y. Solve -8 = s*k + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2335*n*w**2 - 2*n*w - 573*n - 2*w + 662 wrt w.\nAnswer: 4670*n*w - 2*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*a - 35*a = -5. Let h(l) = -l**3 - 5*l**2 + l - 6. Give h(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + sqrt(66)\/sqrt(6) - (0 + sqrt(1584))**2).\nAnswer: -1586 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -13*a + 1. Let c(t) = 40*t - 4. What is 6*c(n) + 20*i(n)?\nAnswer: -20*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2726326 or -13631633\/5?\nAnswer: -2726326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 10*a + 12)*(-5 + 0 + 1) to f + z*a and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5325340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/10)\/(1 + 26\/(-39)) + 1?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 19 = -26. Suppose b - 3 = 4*c. Suppose 2 = 4*o - 6. Solve -o*f = c*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 12672.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1575322 (b) -2 (c) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 28 = 2*x. Let p be (x + -15)\/((-2)\/540). Suppose 0 = 2*s - p - 8. Is s a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 14*f**2 + 58. Let i(c) = -c**3 + 2*c**2 + 1. Let h(m) = -d(m) - 5*i(m). What is the first derivative of h(g) wrt g?\nAnswer: 18*g**2 + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150213.\nAnswer: 3, 7, 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -2.9. Which is smaller: o or 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*-5*14\/(-105)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 10:50 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 5*r - 9 - 12)*(-7*r**2 + 3*r**2 - 6*r**2)*(2*r - 5*r - 4 + 3).\nAnswer: 150*r**4 - 70*r**3 - 40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -430 divided by 5?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151460, 302910, 454360?\nAnswer: 605810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/2 or 526?\nAnswer: 526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 - -3234. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -338*i**2 - i**5 + 338*i**2 + 6*i wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (99 - 106) + -2 + -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3*c + 3 = 0, 10 = -2*c + 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((9 - -2)*1)\/(-1). Let w = 15 - 13. Let q be ((-8)\/w)\/(7 + x). What is the second biggest value in 15, q, -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 32 = -6*m. Let d be (-105)\/(-20) - (-2)\/m. Solve 4*b = -k + d - 13, -k = 2*b + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2055 times -35.5?\nAnswer: 72952.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*z - 16 = -64*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -438, -774, -996, -1098, -1074, -918, -624?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9519656 and 1577.\nAnswer: -9518079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 187*f**2 + 2*f + 34. Let i(y) = -y**2 + y + 13. Calculate -c(h) + 3*i(h).\nAnswer: -190*h**2 + h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a + 32. Let u be x(5). List the prime factors of (696\/(-16))\/(u\/(-4)).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075015957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 864*u**5\/7 - 438*u**4 + 1354*u**3\/7 + 204*u**2\/7 = 0.\nAnswer: -17\/144, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3764*m - 24 = 3767*m, 24 = -7*t - 3*m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.09? (a) -3 (b) -1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30985876 is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -102*a + 5802*a**2 - 2*a**3 - 52 - 2*a**3 + 6*a**3 - 5850*a**2.\nAnswer: 2*(a - 26)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1, -1077, 1.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 - 22?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-40))\/((-8)\/50)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 29674*u + 89013.\nAnswer: (u - 29671)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15247371.\nAnswer: 3, 727, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(204) + 2*sqrt(204) + sqrt(204) - sqrt(204))*2)\/(-3*-1*sqrt(12)).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hykeelyk. Give prob of picking 1 k and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*g**4 + 2*g**3*j + 24*g**2*j**2 - 5*g*j - 10*g + 17*j**2 - j wrt g.\nAnswer: 444*g**2 + 12*g*j + 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/14 and (3\/12 - (-189)\/112) + 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 1. Let z(n) = n**2 + 14*n - 8. Let a(x) = 2*t(x) + z(x). Let g be a(8). Suppose 158 + g = 4*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6299 - 9225 - 11362 = -94*l. Calculate the remainder when 337 is divided by l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-1\/3))\/n)\/n*n**(8\/9)*(n**(-3\/4)*n)\/n**(4\/15))**(-34\/3) assuming n is positive.\nAnswer: n**(1411\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + 3*z**3 + z)*(3 - 5 + 4)*(32*z - 9 + 9) as f*z + y*z**2 + d*z**3 + v*z**4 + u and give v.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24 + 16)*(-35)\/56. Solve -5*f = p*o + 30, -o = -0*o + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36480 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 24*z - 8. Let p be y(17). Suppose -5*f + 4*h = -270, -p = -2*f + 3*h - 2*h. Suppose 2*l = 8 + f. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1270.934 minutes to nanoseconds.\nAnswer: 76256040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*k + 14 = -18, -i - 8 = -3*k. Let p be -5 + i + 6\/2. Suppose -p*m + 4 = -0*m. Solve -5*w + w - 7 = -b, -m*w + 2*b = 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 541, 483, 425, 367, 309, 251?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven eighths of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. What is the second derivative of -g + 0*g**3 - g**5 + r*g**3 + 0*g**5 wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-357)\/(-34)*(-160)\/(-24) and 665.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3 = -7, -3*p = 5*i - 161. Suppose 11*z = 13 + i. Solve 12 = z*b + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 0 + 1915 - -1. Suppose -10*s = -6*s - g. Suppose 4*w + 316 = 2*y, 3*y - 5*w = -w + s. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31.6 + -41. Let r = 9 + c. What is the second smallest value in r, 1, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajhhaaaaaajhfahaehah. What is prob of sequence fhhe?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.332.\nAnswer: 0.0996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 21 = -3*c. Let n be 112\/(-98)*c\/(-10). Factor 48\/5*k - 12\/5*k**3 + n*k**2 - 32\/5.\nAnswer: -4*(k - 2)*(k + 2)*(3*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 2. Let i(k) = -4*k + 6. Determine -2*i(p) - 7*j(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31811598 by -5301933.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**4\/24 + 7*p**3\/3 + p**2. Let t be a(-6). Calculate the greatest common divisor of t and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 4. Suppose -s - s - 7 = -3*q, -2*q + 5 = -s. Let n(t) = t + 5. Let o be n(q). List the prime factors of f(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14514*y**2 - 14514*y**2 + 2*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5307 + -5052.7. What is s rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 0*g + 0*g**2 + 16\/27*g**3 - 48 - 4\/15*g**5 + 0*g**4 + 2\/27*g**6. Determine w so that o(w) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(120)\/(sqrt(30)\/sqrt(5))*-3 + -2*sqrt(40)\/sqrt(2)*-5).\nAnswer: -14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -1, 0 in descending order.\nAnswer: 6, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74 - 22) + (-58 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3 - -2.17. Let c = -6625 + 6625.13013. Let u = f + c. What is u rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/17, 1001, 1\/118?\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**5\/4 - 5*h**4\/24 + 10*h**3\/3 - 36*h**2. Let p(k) = 0. What is k?\nAnswer: -4\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n**3 - 89*n**2 - 2*n - 9. Let c(b) = 13*b**3 + 181*b**2 + 5*b + 21. What is 7*a(v) + 3*c(v)?\nAnswer: -3*v**3 - 80*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 0. Let q be 12\/(-36)*((-21)\/(-15) + -2). What is the second smallest value in q, t, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 - -83. Which is smaller: -3 or w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 1 + 2)*(-u**2 - u + u) + (u - 2*u + 3*u)*(-1 + 1 + u) - 5*u**2 + 5*u**2 - 6*u**2)*(1 + 5 - 5) to l + d*u**2 + m*u and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 7\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22490491 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -315 (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 15*b**3 + b**2 + 2*b - 2. Let l be w(1). Let t be 39\/2*l\/12. Let x be (5\/t)\/(3\/(-6)). Is x smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2508 (base 13) to base 4\nAnswer: -1101333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 2*h - 5*h)*(-4 + 4 + 6)*((2 - 1 + 0)*(-31 - 31 + 9) - 1 - 1 + 7) - 4*h + 2 + 3*h - 1 to z*h + d and give z.\nAnswer: 863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -28*i**2 + 17*i - 20. Give q(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2781327.99 rounded to the nearest ten thousand?\nAnswer: -2780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2498 or -12492\/5?\nAnswer: -12492\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -116*g + 234. Let d be v(2). Let y = 123\/74 - 6\/37. Factor y*i**d - 1\/2*i**3 + 0 - i.\nAnswer: -i*(i - 2)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 7500136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 11814?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**4\/6 + 62*a. Let c(x) = 23*x**2 + 4. Calculate c(f(p)).\nAnswer: 92*p**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 37943\/4, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 90, 16, 38, 4, -3, 131 in descending order.\nAnswer: 131, 90, 38, 16, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqvq when four letters picked without replacement from hrqvqeeqhvrhvg.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2114 - -1141222?\nAnswer: 1143341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -187\/140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/5*p**2 - 13\/5*p - 14\/5 = 0. Calculate p.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/416, -12, 3, 4, -3, -4, 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142, 1, -5 in increasing order.\nAnswer: -142, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -461.8 + 435. Let h = t + 27.1. What is the third biggest value in h, 2\/3, -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + 3 + 2 - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*r - 112 = -445*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-560)\/91 - (22\/26 + -1). Let a(s) = 3*s**2 + 8*s + 59. Calculate the remainder when a(n) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 126826634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1701324898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1417482 and 157498.\nAnswer: 1417482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-102 - -89)\/((-2)\/26). What is the greatest common divisor of m and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6123.682 millimeters?\nAnswer: 6.123682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185, 364, 541, 716, 889, 1060, 1229?\nAnswer: 1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (46\/(-8))\/((-28)\/112)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24060 - -40223. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118845567 divided by -2547.\nAnswer: 46661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -17. Let y = 14.93 - l. Let g = -0.57 - y. Sort 1, 2, g in increasing order.\nAnswer: g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -220 - -222. Suppose 2*t - 26*h + 30*h = 20, 5*h = q*t + 25. Let w(m) = m**2 + 2*m - 1. Let g be w(1). Solve g = -c - t*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1439 = 4*f + 3*u, 2*f - 2*u - 730 = -0*u. Let n be f\/3 - (-4)\/(-6). What is the greatest common divisor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88606 is divided by 156?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b + 91 = 49*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 587 - -259. Let n = x + -792. What is the highest common factor of 351 and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3304239914 to the nearest integer?\nAnswer: 57483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 17. Let i = -1678 + 11747\/7. Let d = 17 + -17. Which is the closest to j? (a) 1\/3 (b) d (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) - (-9427)\/33. Suppose 0*j - m = -w - 2*j, -4*w + 1144 = -j. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t + 3 + 2*t - 3. Let u(l) = -l**2 - 2*l. Let f(p) = -6*p**2 - 11*p. Let d = -4 + 6. Let j(q) = d*f(q) - 11*u(q). Give v(j(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -117*a + 112*a + 1190. Suppose -a*h = -242*h. Solve 10*k - 7*k + 6 = h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 167 + 138?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828380994?\nAnswer: 2, 3, 7, 397, 49681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/10 - 229*n**2\/5 - 1069871*n\/10 + 535164\/5 = 0. What is n?\nAnswer: -831, 1, 1288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p = -3*w, 0 = -3*p. Let s(i) = -4 + w*i + i**2 + 12 - 3*i. Is s(5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 164689 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12))\/((40\/8)\/10)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026197 to 4 dps.\nAnswer: -0.0262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (-2 + sqrt(8)\/sqrt(4)) - sqrt(2))**2 + sqrt(12)\/sqrt(6)*-4 + (-3*sqrt(40)\/sqrt(4))\/(-1*sqrt(80)).\nAnswer: -29*sqrt(2)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -15. Let p = 4 + -3.6. Which is the nearest to 0.3? (a) -1\/2 (b) l (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*t - 3. Let f(n) = -n**3 - 12*n**2 + 15*n + 24. Let a be f(-13). Is a at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*c + 8635 - 1566 = -1806 for c.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - 0.3. Let p = 97 - 116. Let z = p - -17. What is the nearest to z in -2, 5, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 1. Let g(p) = 3. Let y(x) = 3. Let k(f) = 3*g(f) - 2*y(f). Determine -k(v) - o(v).\nAnswer: v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 365 + q + 365.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14, 3, 14 in increasing order.\nAnswer: -14, 0, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*d + 80*d + 2*w - 78 = 0, -4*w + 36 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 32*a + 30.\nAnswer: 2*(a + 1)*(a + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*a - 82*a - 240 - 198 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + 0 - (-4)\/(-2). Suppose 2*y - 3 = -0*y + n, 0 = 5*y + u*n - 1. Suppose 8 + 0 = 4*k. Sort -2, y, k in increasing order.\nAnswer: -2, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*-14)\/(-2)*(-357)\/((-34986)\/196)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10249.2 - 10249. What is the biggest value in 0.3, n, -0.1, -1\/3, -203?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**5\/210 + s**4\/14 - 3*s**3\/7 - s**2 + 2. Let a(y) be the second derivative of u(y). Determine j so that a(j) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(17\/36 - 2\/8). Let p(b) = 2*b - 11. Let j be p(r). Solve q + 2*c + 13 = 0, 4*q + j*c = 4*c - 32 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -537 + 603. What is the greatest common factor of w and 418?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1087092967?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 7*f**2 + 2*f + 4. Let q be v(-6). Let m = -13 + q. What is the remainder when 57 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3\/x*x)**(-2\/7)*x\/(x**0\/x)*x**19)**(14\/3) assuming x is positive.\nAnswer: x**94","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, -4, 0.25 in decreasing order.\nAnswer: 0.25, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 14*u + 74. What are the prime factors of o(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*p - l + 48, 0 = -5*p - 3*l + 78. Suppose 3*n = 6*n - p. Suppose 3*g - g - k = 795, n*g - 1995 = 4*k. What is g rounded to the nearest 10?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 7:53 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from kkjjkkvjv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725*i + 45252 + 17356 = 11133 for i.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -120 (b) -2\/15 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369 + 405785*o**2 - 369 + 738.\nAnswer: 405785*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 67 + -77.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*g**3 + 9623*g**2 + 5087179*g wrt g.\nAnswer: -78*g + 19246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 506 and 2838.\nAnswer: 65274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgwwtgvhgw. What is prob of picking 1 t and 1 g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2866076?\nAnswer: 2, 23, 31153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10927763761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-8 - (-2 + 0) - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v = -22*v + 72. What is the lowest common multiple of 24 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 10:32 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-22)\/(-165))\/(40\/90). Let 0*b - r*b**3 - 1\/10*b**4 + 0 + 0*b**2 = 0. What is b?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*s - 4*s = 2, 2*n = s + 14. Let z(t) = -13*t - 10. Let x be z(-1). Let q be 6\/n - (-1)\/x. Which is the closest to q? (a) 1\/4 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12 - -10)*(67\/2)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t - 31500 = -26*t. Suppose -t = -7*b - 707. List the prime factors of b.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**5))\/i**(-1\/2)*i**(-1\/3)\/i*i**6*(i**(2\/5)*i)\/(((i*i*i**(-2)*i)\/i)\/i*i*i)*(i**(2\/15)*i*i)\/((i**1\/i)\/i) assuming i is positive.\nAnswer: i**(37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.97 + -14.95. Let r = p + 14. Let x = 0.08 - r. Which is the closest to 0? (a) 0.4 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45644?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.12 (b) 1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3650691, -7301375, -10952047, -14602701, -18253331, -21903931?\n\"Answer: x**3 - 3650691*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16267 is divided by 196.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 8*a**2 - 20*a**3 + 19*a**3 + 0*a**2 + 5. What is r(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**5 + 27867950*l**2*w**2 + 2*l*w + 281662*l + 87*w**2 wrt l?\nAnswer: -40*l**3 + 55735900*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(4 + sqrt(425)*1 + 3*(sqrt(425) - (1 + sqrt(425) - sqrt(425))))*-3)**2 + 1)*-3.\nAnswer: -4590678 - 27000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - f - 1 = 0, 4*f + 9 = y - 4. Let n(q) = q**3 + 3*q**2 + 2*q + 3. What is n(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -26. Put h, 0, 3, -1 in increasing order.\nAnswer: -1, 0, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213 divided by 3788\nAnswer: 213\/3788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 1 = 12*x. Let g be x\/(-2)*(-72)\/(-3). Calculate the greatest common factor of g and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 7:54 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*n = -6. Find the first derivative of 4*x - 5*x + 0*x - n wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.5 and -47.24936?\nAnswer: 590.617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7883\/5 + (1 - (-9)\/(-15)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 661\/4 - 162. Let t(u) = u**2. Let n be t(2). What is the common denominator of 41\/(-12)*(n - 2) and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -22*j**3 + 3*j + 4. What is the tens digit of f(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 5*t + 138, x = -3*x - 3*t + 304. Let z = x - 49. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 13605757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 23*l**4\/8 - 45*l**3\/2 - 4065*l**2 - 2*l. Give n(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -20*q**2 + 272*q + 429. Let u be m(7). Let s(c) be the second derivative of -c**5\/20 - 2*c**4\/3 + c**2 + c. What is s(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*s + 473056 + 844784. Round s to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6305 + -126?\nAnswer: -6434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 852242, 1704482, 2556722, 3408962?\n\"Answer: 852240*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*v + 1)*(0 + 3 - 1) + v + 1 - 1 + 8*v - 6*v - 5*v + 2 + v - 2 + (v + 2*v - 2*v)*(-2 + 0 + 0) + 4*v - v - v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2356265\nAnswer: -1\/2356265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -10497 greater than -10497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -9, 0, 2\/7 in ascending order.\nAnswer: -9, -2\/19, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**2 + 7*v - 1. Let j(b) = 6*b**2 + 6*b - 1. Give 4*h(g) - 5*j(g).\nAnswer: -2*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 4 + 4)*((1 + 0 + 0)*(-5 + 0 + 4) - 3 - 2 + 3 + 1 - 1 - 2)*(-25*t - 24*t + 48*t - 72).\nAnswer: -10*t**2 - 720*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/16734355 and 57\/88.\nAnswer: 133874840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3655387379?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z - 9*z**5 + 11*z**5 + z + (-9 - 1 + 11 + 14*z)*(-7*z**4 - 10*z**4 - z**4).\nAnswer: -250*z**5 - 18*z**4 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 35*p**2 + 42*p + 70. Is g(-29) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 134*s**3 - 81*s**2 - 22695 wrt s?\nAnswer: 402*s**2 - 162*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 49*l**2 - 32*l + 4. Let h(a) = a. Suppose 5*g + 12 + 0 = r, 3*r - 5*g = 6. Let x(f) = r*q(f) - 12*h(f). Factor x(w).\nAnswer: -3*(7*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462\/1949 at most 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*d - 76 - 27, 4*d + 54 = -2*p. Let l = -1 - p. What is the remainder when 69 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-165)\/12*2*3192\/(-1995)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -3, -3810, 1 in decreasing order.\nAnswer: 6, 1, 0, -3, -3810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20756417)\/(-418) - 26\/(-4).\nAnswer: 49663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4)*c**(-10))**31\/(c\/(c*c*(c\/(c\/((c**0*c)\/c)*c))\/c*c)*c**3*c**(5\/3)\/(c*c*(c**1*c)\/c)) assuming c is positive.\nAnswer: c**(-3833\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 37 - 483. Let d = 42 - q. Let z be (-2 + d)*((-8)\/(-5))\/(-2). Calculate the greatest common divisor of z and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3 - (-15 - -5) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(32) + (sqrt(72)\/sqrt(3))\/sqrt(3))\/(-3*sqrt(576)).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.4 or -650?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**5 - 142*i**3*j**2 - 65*i + 2*j**2 wrt i?\nAnswer: 40*i**3 - 852*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 30*b - 7. Let k(i) = -29*i + 6. What is -5*g(x) - 6*k(x)?\nAnswer: 24*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-390)*(-18)\/6)\/((-2)\/370).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q - 53. Let l be o(16). Let p be 2*-3 + 639\/105. What is the third smallest value in p, -4, 4, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-530*d + 4*d**3 + 530*d)*((0 - 5 + 4)*(3*d - 3*d + 2*d) - 2*d + 2 - 2 + 2*d + 0*d + 0*d) to o*d + m*d**4 + a*d**2 + y*d**3 + b and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -1645 and -97.\nAnswer: -1742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4690)\/(-67))\/((((-112)\/42)\/(-2))\/((-4)\/(-6)))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p = 4*p + 512. Let h(a) = -a**3 + 16*a**2 + 1. What is h(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3032351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -7. Suppose p*r + 1 = -4. Let h = -1 - r. Which is greater: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 227\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 12:42 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 6)*(4*y - 3*y + 0*y)*(0*y + 0*y - 5*y**2).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5.88 (b) -2 (c) 1836 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 19*k**2 + 1782*k + 11. Let b(j) = -31*j**2 - 3565*j - 19. Determine -3*b(g) - 5*p(g).\nAnswer: -2*g**2 + 1785*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-6)*z)\/z)\/z*(z\/(z**(-6)\/z))\/z)\/(z**(2\/19)\/z**(-3\/2)) assuming z is positive.\nAnswer: z**(433\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 405985689*o**2*x - 7092*o**2 - 1063 wrt x?\nAnswer: 405985689*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17638021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8486.44 kilometers to micrometers.\nAnswer: 8486440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - m**2 + 0 + (-4*m + m + m)*(-m + 2*m + 0*m))*(62*m**3 - 165*m**3 - 225*m**3).\nAnswer: 984*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -3*j + 107. What is the common denominator of ((-4)\/j)\/((-2)\/(-113)) and 55\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54.5 - -54. Sort 5, -4\/7, m.\nAnswer: -4\/7, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17591*p**2 + 526*p - 665332 wrt p?\nAnswer: 35182*p + 526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -3) + 3 + -1. Suppose -5 = -x*m - 5*m. Which is greater: 8 or m?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(0 + 2 + 3 + (sqrt(567)*-1 + -1 - sqrt(567)) + 4)**2.\nAnswer: -13997 + 1728*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -284 + a**3 + 288 + 0*a - 2*a - a as p*a**3 + m*a + i*a**2 + h and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(sqrt(21)*1*-2)\/(sqrt(7) + sqrt(448)*2 - sqrt(7))*-3.\nAnswer: -3 - 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 704996940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**6\/360 - 2*x**3\/3 - 4*x. Let s(b) be the second derivative of p(b). Let c(y) = y. Give c(s(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -988 + 5164. Does 72 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*p + 5 = 3*p, 0 = 2*v - 3*p - 15. Suppose -3*u + 5*u + 11 = 5*l, -5*u + 2*l = -4. Solve -2 + v + 2*j**3 + 0*j + u*j**2 - 2*j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 7 - 13 - 2 - 4*n + 10.\nAnswer: -4*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 3*z + 68, 4*z + 41 + 35 = 3*q. What is the greatest common factor of 50 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 2.5 (b) -18 (c) -5 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1310 + 3155451?\nAnswer: 3154141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 79?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 12 - 3*j**2 - 8 + 22.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 4 = 2*i. Suppose -6288 = -2*f - 3*p + 5*p, -i*f + p + 6293 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*v - 2*j, -v + 5*j = 4*v. Suppose 5*t - v = 7. Suppose -4*o = 2*i - 1777 - 19, -o = -t*i - 449. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05455 rounded to three dps?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjndnnggnege. Give prob of sequence ndgg.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147000 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1187 - 3?\nAnswer: -118a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -1\/5, 316 in increasing order.\nAnswer: -1\/5, 29, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 27 + 43 + -80?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(2448)*-1 - sqrt(2448))*4)**2 - (1 + (5 + 1 + sqrt(2448) + sqrt(2448))**2).\nAnswer: -288*sqrt(17) + 342683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 17*g**2 - 182*g - 76. Calculate the smallest common multiple of 32 and q(6).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*z + 12 = 0. Let g(m) = -3*m + 3. Let k be g(4). Let d be 27*1*z\/k. Solve d*j = 4*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 8:56 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 9:05 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-66)\/7 + 3\/7. Let a = s - -13. Suppose -7*b = -a*b - 33. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*p**2*t + 130*c**2*p**2 + 11*c**2 - 293*c*t - 5308*p**2*t + 150*p*t - t wrt p.\nAnswer: -2*c**2*t + 260*c**2 - 10616*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 560996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 22*i - 28. Determine l(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -4\/7, -2, 5\/3, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 2. Suppose -3*c + 7 = -u*z - 0, -3*z + 17 = c. Solve 0*l + z = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hffhfhffhffffh. What is prob of sequence ff?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 3:05 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 282543626193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -40226*p - 201116. Determine q(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 7:23 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*y + 4 = -65, -2*q + 5*y - 31 = 0. What is the units digit of 8\/18 - 5590\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 608 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*1*1\/(-2). Suppose -q*l + 44317 = -23687. Let w = l + -374113\/22. What is the common denominator of -31\/12 and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1446394*3.4\nAnswer: 4917739.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5035861, 5035849, 5035823, 5035777, 5035705?\n\"Answer: -h**3 - h**2 - 2*h + 5035865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 1991926.\nAnswer: 9\/1991926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = -3*b + 616. Calculate the remainder when (0 + 24)*322\/b is divided by 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 - -0.0406.\nAnswer: 57.0406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4856 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14*5\/20)\/((-1)\/(-46)). Let l(r) = -r + r**3 - 10*r**2 - 3 + 0 - 2*r**3. Let p be l(-10). Calculate the greatest common factor of p and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8872376*t + 9735024 wrt t.\nAnswer: -8872376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -279 - -282. Suppose -s = 9*x - 48. Solve -5*d + 10*d + 11 = -2*t, d = 2*t + x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**2 - 77725*j + 77720 = 0. Calculate j.\nAnswer: 1, 15544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 7:49 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -811 divided by 2839?\nAnswer: -811\/2839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from kkakkkkkkjkjjj.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g + 2*b + 6 = 90*g - 65*g, 3*g - 3*b - 9 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = -5*p. Let u(o) = 4*o**2 - 1. Let q be u(p). Let b = -5 - -17. Solve -q*h + 7*h = -b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixty-seven quarters of a day?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10\/899 - -81451\/129456. What is the common denominator of p and -23\/216?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9*a + 15. Suppose -6*z = -4*j - 3*z - 2, -4*z = 4*j + 16. Let x be d(j). Is -33*(-4 + x + 2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4261*u**2. Let i(g) = -23 + 43*g - 23*g - 19*g + 23. Determine i(q(l)).\nAnswer: 4261*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/3 + 1420*d**4\/9 - 815425*d**3\/9 + 2165750*d**2\/9 - 810668*d\/9 - 60120 = 0. What is d?\nAnswer: -810, -1\/3, 1, 2, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**5\/100 - 13*h**4\/30 + 169*h**3\/30 + 137*h + 1. Suppose p(f) = 0. What is f?\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 337 = 2*g - 159, 0 = g + 3*r - 248. Suppose -3*o + b = -g - 183, -4*o + 4*b = -572. Is o + 0 - (-5 - -6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8529321 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.032 (b) -8 (c) 4 (d) 0.5 (e) 444 (f) -4 (g) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*j. Let l = 1 - -2. Solve j = -a + l*a + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -169 * -0.5.\nAnswer: 84.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**2 + 3. Calculate c(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52957 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 - 22*o + 61. Let m(n) = -n**2 - n - 1. Let q(r) = 2*m(r) + y(r). Let g be q(14). Calculate the greatest common divisor of 10 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 4*p - 3. Let n be a(5). Let m = 6 - 6.3. What is the second biggest value in 2\/5, m, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**2 + n**5 - 30051*n**3 + 30146*n**3 + 0*n**5 + 10 + 19 wrt n.\nAnswer: 60*n**2 + 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -14748?\nAnswer: 1\/14748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*c - 26*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (671838\/(-54))\/(8*12\/(-864)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63370245 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2)\/v)**(2\/69))**(8\/9)\/((v**(1\/16)\/(v\/(v**7*v)))\/(v*v**(1\/3))**20) assuming v is positive.\nAnswer: v**(64801\/3312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(304) + 0))**2 + -5 + (sqrt(19) - sqrt(475)) + 1 + 0 + sqrt(19).\nAnswer: -3*sqrt(19) + 4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -11. Suppose -a*g - 1 = 3. Let d = 2 + g. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 438*q**2. Let j(r) = -111*r. Give j(c(k)).\nAnswer: -48618*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 2. Let v be 0 + q - (-18 - -7). Suppose 0*i + 4*i - v = 0. What is the third smallest value in i, 2\/21, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*n + 9 - 8 + 1 to the form k + f*n and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -1 + 1\/4*v**4 + 0*v**2 + 0*v**3 + v. Let a = -14342 - -14343. Calculate j(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4630 - 4582. What is the smallest value in q, -0.3, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2714.98003 + -2715. Round k to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 67 = -3*a + 3*k, -3*a + 25 = 2*k. Suppose -t + 7*v - a = 2*v, 49 = 5*t + v. What is the units digit of -1 + 3\/(t\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4809 - -2.52. Let u = r - 5.0391. Which is the closest to 0.3? (a) -0.7 (b) -0.2 (c) u (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16567729450632 - -0.2\nAnswer: -16567729450631.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12848\/(-21024)*3\/(-66).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 4*p + 21. Let b be t(-10). Let w = b + 40. What is the greatest common factor of 9 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 67*q**2 - 148*q + 703. Let i = 68 - 30. What is the lowest common multiple of i and p(69)?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from vvvvvvvvvvvkvkvvvvv?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**6\/30 - d**5\/6 + d**4\/3 - 13*d**3\/6 - 35*d. Let f(c) be the second derivative of m(c). Factor f(q).\nAnswer: 4*(q - 1)*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1 + 0 - 79999*g + 0 + 0. Let w be (3 + -2)*(-1 - -2). Let s be y(w). What is s rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6)\/(18886\/568 + 99\/(-3)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 196*p + 14 = 193*p, 5*p + 22 = -2*w. Let d = -2075977732\/10645171 + -84\/174511. Let y = 195 + d. Is y at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 4*j = -51, 5*o + j = -728 + 758 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times 4.36?\nAnswer: 95.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r. Let d(s) = -s**2 + 206*s. What is a(d(v))?\nAnswer: 4*v**2 - 824*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven fifths of a hour?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4982164370 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 128 - 43*m**2 - 128 + (145 - 145 + 18*m)*(2*m - 2 + 2) + 2*m**2 - m**2 + 0*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1091 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -2*p - 2*r - 104, 0 = -4*p - r + 78. Calculate the remainder when 2 + (-4)\/2*-36 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 14*d - 8*d + 4*p = 15, 5*p = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19159 + 19435. Solve -z*w = -287*w + 77 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*j**2 + 4*j*r**2 - 14*r**2 + 19 wrt j?\nAnswer: -14*j + 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70532.92 + 73621. Let j = t + -3020. Let u = 4.38 - j. What is u rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.01219 and -234.9?\nAnswer: 234.88781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.04, -55, -0.6, 540, 0, -0.4?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (4 + -8 - 0). Suppose 14*q = 15*q - y. Suppose 60 = q*p - 6. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36221, -72451, -108681?\n\"Answer: -36230*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42102)\/77187 - (-780)\/(-22)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206 a factor of 37290726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 10094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.10544834 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1819 + -307. Suppose -13*n - w = -22*n. What is the remainder when n is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -154519330*f + 69308869 wrt f.\nAnswer: -154519330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*o - 21 = -4*w + 38*o, -4*w - 3*o = -31. Let a(y) be the second derivative of 0 - 3\/4*y**3 + 27\/4*y**2 - 4*y + 1\/32*y**w. Find x such that a(x) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 88767956?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 7*s = -14*s. Solve s = 9*r - 3 + 30 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1303? (a) 3 (b) -6 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 16. Let h = -11 - z. Sort h, 4, 5 in ascending order.\nAnswer: h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(38)*-2)\/(sqrt(242) + (sqrt(242)*-1 - sqrt(242))).\nAnswer: -2*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*h + 12*h - 36*h)*(-139*h + 193*h + 3 - 1).\nAnswer: -162*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 115889\/371 bigger than 312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence koe when three letters picked without replacement from eokvooeo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6338)\/66 + (-602)\/(-19866).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 86 = 565. Suppose v = 6*h + 55. Let p(r) = r**3 + 2*r**2 - 7*r - 5. Calculate p(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3147 (base 13) to base 11.\nAnswer: -513a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 12. What is the remainder when y(-5) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**6\/6 - 118*p**5\/15 + 83*p**4\/3 - 56*p**3\/3 - 22. Let q(h) = 0. What is h?\nAnswer: -42, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cut when three letters picked without replacement from {p: 1, u: 1, s: 1, j: 2, c: 1, t: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3 - 10899*c**2 - 65363*c - 54465 = 0. Calculate c.\nAnswer: -10893, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f7 - 0?\nAnswer: 2f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -1101*n - 733. What is the units digit of m(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8510 (base 9) to base 3\nAnswer: -22120100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.492, -0.3, 158\/5 in descending order.\nAnswer: 158\/5, -0.3, -0.492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 6 = -22*w. Let s(h) = -3824 - 3*h**3 - 6*h + w*h**3 + 14*h**2 + 3851. Is s(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 19499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3690, -3772, -3852, -3930, -4006, -4080, -4152?\nAnswer: -4222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/18 and (231\/140)\/(24\/(-15))?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -126*w**4 - 202*w**3 - 58752 wrt w?\nAnswer: -504*w**3 - 606*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -92, -216, -386, -602, -864, -1172?\nAnswer: -1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8 + 24*y + 8 + 5*y - 12*y. Let g(o) = -85*o. Calculate -2*g(k) - 11*j(k).\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*((-20)\/(-4))\/55. Which is the fourth smallest value? (a) -5 (b) z (c) -1\/3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 568744 + -568602.00328. Let a = d - 142. Round a to four decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2740 (base 11) to base 4.\nAnswer: -313201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 589. Let c = t - 343. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 - (-6318)\/30 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20443 = -10*s + 35347. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -15. Let q be -3 - -5 - (-14 + o). Suppose 28*w - 60 = 8*w. Solve 0 = -w*l - 0 - q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82 by 1.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(-6*w + w - 4*w).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -5 (b) -0.3 (c) 0.12102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**3 + 4*a**2 - 9*a - 40. Let v be y(-9). What is v rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3157 by 5112.\nAnswer: -3157\/5112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 5:40 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/27*(0 + 90\/(-40))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117895 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 1)**2 + 1.\nAnswer: 16*sqrt(5) + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 1\/8, -61?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.02 - -1.02. Which is the nearest to 1\/2? (a) -6\/11 (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 80 - 64 = -5*f, 3*f - 2*j + 12 = 0. Suppose g = 2*s + 7, -2*g = -2*s + 4*s - 2. Sort -3, g, -1, f in decreasing order.\nAnswer: g, -1, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4\/23)*z**10\/z*z**(-18)\/z**(-2\/7) assuming z is positive.\nAnswer: z**(-1431\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 288 + -236. What is the remainder when 150 is divided by (j\/(-4))\/(7\/(-2) - -3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12174.54 - -26.74. Round b to the nearest one hundred.\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 61554*d + 49750*d + 3 + 0 + 2*d**2.\nAnswer: 2*d**2 + 111304*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14970.\nAnswer: 2, 3, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*v = -6, 5*v + 12 = 2*b + 2*b. Suppose 20 = 5*k, 0*k - k = -3*t + 2150. Suppose b*u = t - 85. 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 xth term of 17753, 70632, 158733, 282062, 440625, 634428, 863477?\n\"Answer: x**3 + 17605*x**2 + 57*x + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/7 - 1704\/(-14). Let y(l) = -43 + p + l - 35. What are the prime factors of y(0)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 6, o + 5 + 0 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63.3 + 63. Let n = 1 - 1. What is the second biggest value in n, c, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 102.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42.39 - -9.89. Is a greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3388 is divided by 706.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y + 2*c, -4*c - 6 = 3*y. What is the third derivative of -39*j**2 + 9*j**5 + 13*j**5 + 44*j**2 - 93*j**y wrt j?\nAnswer: 1320*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-84)\/(-18)*(-12)\/(-14). Solve -5*d + 2*h - 4 = h, 4*h + z = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 292*y. Let k(l) = 2*l**2. Give k(z(p)).\nAnswer: 170528*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15576, -62264, -140076, -249012, -389072, -560256, -762564?\nAnswer: -995996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/9 and 52\/20301.\nAnswer: 60903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 5*y - 49 = 0, 17*y - 11 = -w + 20*y. Let l(m) = 6*m**3 - 4*m**2 - m - 6. Let n(g) = 7*g**3 - 5*g**2 - 2*g - 7. Calculate w*n(q) + 5*l(q).\nAnswer: 2*q**3 + 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-3))\/((-2)\/(-6)). Suppose -2*d = -0*a + k*a, -3*d = a - 10. Suppose -d*x = 2*q - 279, 0*q - 5*q = -4*x - 615. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -p + 7, p - 6 = -0*c + 3*c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -86828 (base 11) in base 15?\nAnswer: -27577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 24.11249 micrometers?\nAnswer: 0.00000002411249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119374200 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*q - 115*q - 234 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 11 - (13 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88864 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 - 33*v**2 - 14*v - 20. Let j be g(-16). Let k = -261\/5 - j. Let p = -2 + -3. Which is the nearest to k? (a) -0.1 (b) p (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/(((-43)\/(-387))\/(6\/(-8))).\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 92*q - 587. What are the prime factors of k(56)?\nAnswer: 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 33*g - 39*g + 7 + 129*g - 9*g**2 - 44*g. Let o be d(7). Suppose 0 = 2*f + 2*q - 6, f - 2*f + 11 = -3*q. Solve o = -3*t + 2 - f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 - (-19915176)\/820 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 3, t: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 38*a**3 + 6*a**2 - 6*a - 17. Let z(f) = -37*f**3 - 5*f**2 + 5*f + 16. Let j(d) = -5*g(d) - 6*z(d). Find the first derivative of j(p) wrt p.\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97 by -3.\nAnswer: -97\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -955 - -960. Solve -5*c - 5 = -0*c, -h - 7 = o*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 505304746, 505304749, 505304752, 505304755?\n\"Answer: 3*l + 505304743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 338?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237339.\nAnswer: 3, 26371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 + 14040*l**3 - 14042*l**2.\nAnswer: 2*l**2*(l - 1)*(l + 7021)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*a - 38085, 166*i + 15240 = 2*a + 170*i. What is the thousands digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2\/4 - 27*i + 243 = 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4476124, -4476127, -4476130?\n\"Answer: -3*g - 4476121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 60 = -12*u. Solve 2*z - u*x - 4 = -30, 3*z + x + 4 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.6, 73, 87, -3\/8, 2, 0 in descending order.\nAnswer: 87, 73, 4, 2, 0.6, 0, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -9. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132.7315*-4\nAnswer: 530.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/25 of a minute?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + 4*(-2*sqrt(2057))**2 + sqrt(2057) - (sqrt(2057)*-2 + 3 + sqrt(2057))) + 4)*2*2*-5.\nAnswer: -658260 - 660*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1661109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/14*(((-220)\/(-11))\/4 + 45627\/(-402))?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.4479 + 13.29. Let b = -1.85 + i. Round b to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10597, -10594, -10591, -10588?\n\"Answer: 3*a - 10600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.6, 2, 3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1, 2\/35, -0.2882 in ascending order.\nAnswer: -0.5, -0.2882, 2\/35, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 11. Let u = j + 6. What is the least common multiple of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**0)\/(g**(-4\/5)*g))\/(g\/(g**(2\/9)*g*g)*((g*g**(1\/5))\/g)\/g*g) assuming g is positive.\nAnswer: g**(82\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 8:31 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**2 + 2*l + 4. Let b be v(3). What is the closest to 0 in b, -1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 3984?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3+-479529000005.8\nAnswer: -479529000002.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21 + 2d?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (108\/26 - (-64)\/(-416)) + 863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4929561 divided by -4929561?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1158 and 319856777.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2057*d**2 - 3541 + 3541.\nAnswer: 2057*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w - 64*w + 7*w**3 + 38*w.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*m + 76*m + 112*m in the form i + o*m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -1\/17, 45 in increasing order.\nAnswer: -1\/17, 2\/13, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -1319, -4, 0.718?\nAnswer: 0.718","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1354 - 4091 + 15214*n**2 + 1379 + 1358 to o*n + d + k*n**2 and give k.\nAnswer: 15214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*h**3*i*x**2 - 6*h**3*i + 4966*h**3*x**3 - 254*h**2 + 490*h*i**2*x**3 - h*i*x**2 - 2*h*x - 3*i**2*x**2 + 3*i*x wrt x.\nAnswer: 29796*h**3 + 2940*h*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -10*c. Let l(k) = 119*k. Determine n(l(q)).\nAnswer: -1190*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 24 = q. Let a(g) = 15*g**2 + 12*g + 20 - 9 - 5*g**2 - 9 + g**3. What is the units digit of a(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*z**3 + 6*z**2 + 45*z - 6.\nAnswer: -3*(z - 1)*(z + 1)*(15*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3557 is divided by 708.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z + 20 = 0. Suppose z*f + 0 + 25 = 0. Let v(r) = -3*r - 2 - 1 + 2. Let y(a) = -2*a - 1. Calculate f*y(c) + 4*v(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179163147?\nAnswer: 3, 59721049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 641, 1303, 1965, 2627?\n\"Answer: 662*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -673 - -685. Let g = 0.517 - 0.017. What is the third biggest value in 4, -3, g, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 7*f + 4*a - 536, 2*f - 240 = 5*a. What is the greatest common factor of 80 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfgggfwgwggttwhwt. Give prob of picking 3 w.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*u - 1539 = -1463 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0904? (a) 0.24 (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112875*c + 5*k + 10 = 112873*c, 3 = 3*c + 3*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. What is the third derivative of q**5 - 2*q**2 + 5*q**2 - q**z wrt q?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 256, 258, 248, 220, 168, 86?\n\"Answer: -a**3 + 9*a + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*c - 2110 - 3167 = 1554 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 9*r + 0 + 10*r in the form d*r + t and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 137.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctkt when four letters picked without replacement from {t: 2, k: 4, c: 3}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99.12 - -1.12. Let n = a + 85. Put n, 2\/7, 1\/6, -3 in increasing order.\nAnswer: n, -3, 1\/6, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-12) + 2 + 24\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 0.543.\nAnswer: 1.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (740*p - 740*p - 819*p**2 + 1640*p**2 + 1059*p**2)*(-4*p**2 + 0*p**2 + 3*p**2) in the form q*p**4 + j*p**3 + n + t*p + h*p**2 and give q.\nAnswer: -1880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 5. Let q = h - -21. What is the remainder when 35 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -35460 = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 891, 1779, 2665, 3549?\n\"Answer: -a**2 + 891*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1721 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 15*j = 8*a - 0*j, -4*j = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 5*j**2. What are the prime factors of k(-6)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -6. Suppose b*q = -2*q + 48. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b + 5*b - 3*b**2 - 85 - 6*b + 82. Calculate d(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*k = 67*k - 921 + 1166 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 147 + -139 - (1 + -2 + 12)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7449 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/((-2)\/(-12)). Suppose 6 = -2*t + 2, d*t = -5*g + 6. Factor -z - 4*z - 4*z**g + z**2 - z**3 - 1 + 2*z.\nAnswer: -(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/881 + -2636\/6167. What is the second biggest value in -3.4, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74329\/66 - 12390\/11. Let b(r) = -r**3 - 2*r**2 + 5*r - 2. Let o be b(-4). What is the biggest value in d, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.5 + -6. Suppose -2*w + 4*l = 3*w + 3, 4*w = 2*l. Suppose -4*c - w = -5*c. What is the third smallest value in -1, c, i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -158 + 298. Suppose -14*u = -0*u - h. Let c(w) = -w**3 + 11*w**2 - 8*w - 21. Give c(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 52368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6*q)\/q**(-1))\/(q**(-7)\/(q\/q**(-1\/10)*q*q)) assuming q is positive.\nAnswer: q**(181\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**4\/12 + 2*o**2 - o - 1. Let z(b) be the first derivative of c(b). Determine z(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**4\/12 - 7*g**3\/6 + g**2 + 438*g. Give t(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 3)*(-144 + 144 + 65*g**2) + g**2 - 6*g**2 + g**2 + (-3 + 3 + g)*(-4*g + 5*g - 3*g) to the form k + t*g**2 + j*g and give t.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-10) + (3 - (-65)\/(-20)). Let h(d) be the second derivative of 0*d**2 - 1\/12*d**4 - o*d**5 + 0 + 0*d**3 - 2\/15*d**6 - d. Factor h(n).\nAnswer: -n**2*(n + 1)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/27*-21*6\/2. Solve 4*c - 15 = t*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14493\/4 + -3643. What is the common denominator of v and 94\/(-6) + -2 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 67298 and 253.\nAnswer: 67298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 4972.\nAnswer: 4972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4\/7 + 908*i**3\/7 - 104856*i**2\/7 + 407700*i\/7 - 303750\/7 = 0. Calculate i.\nAnswer: 1, 3, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -21 - 23 - 33 - 25 + 96. Let l(r) = r + 1. What is 2*l(k) + 2*v(k)?\nAnswer: 2*k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + -1 + 0 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*x - 3*k, -25 + 2 = -3*x + 4*k. Let d be x*(-3)\/(-15)*2. Let b be 2\/(-6)*(6 + -6). What is the nearest to d in b, 0.1, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.476358ml?\nAnswer: 0.000476358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1095*h**4 + h**2 + 595*h.\nAnswer: -13140*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16784512 and 8?\nAnswer: 16784512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2159*n - 2157*n + 2*t + 6, -5*n + 21 = -4*t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 241121 (base 5) to base 10\nAnswer: 8911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let z(f) = 80518*f - 508. Let k(h) = -1579*h + 10. Let p(b) = -254*k(b) - 5*z(b). Give t(p(a)).\nAnswer: 1524*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15208 and 66723199.\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -122 + 69. Let z = 1861706848 + -1861706794.99999849. Let n = z + v. Round n to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512610 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -400 - 3*d**2 + 400. Let a(l) = 2*l. Let z(f) = f + 0*f - 3*f - 3*f. Let o(u) = -6*a(u) - 2*z(u). What is o(s(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1369 - -1663. Calculate the remainder when k is divided by 150.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30462 is divided by 4603?\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5*(-565290)\/(-61668)\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (7 - 7) + 1 - 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 59\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 143801061 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 17) + 7 + (47 - 67).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 2\/13, 0.3, -4, 96\/13, -48200?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 19 = 34 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*i**5 - 13*i**5 - 31*i**5 + (0 - 1 + 3)*(2 + i**5 - 2).\nAnswer: -25*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**3 + 33*t**2 - 6*t + 65. Let z be f(-7). Solve -z*u - 26 + 62 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*6\/(-18)*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 5. Let w be s(5). Let t = -24 + 27. Solve u - t*u + 2 = w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35\/14 - (-11)\/(-2). Let w be (-1 + 3\/q)*(-16 - -3). What is the highest common divisor of w and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15\/((-11)\/(165\/70) + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (171\/(-18) - -8)*20\/(-6). Suppose -612 = -2*f + g*v, 0 = -f - 5*v + 383 - 77. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l + 9*l**2 + 11*l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 144 + -145. Let m(a) be the second derivative of -1\/6*a**3 + 0*a**2 + 0 - 13\/12*a**4 - 6*a. Give m(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3299 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8\/3)\/(i\/(i\/(i*i**(-2\/15)\/i*i)*i*i)*i))**(-3\/14)*((i*i**7\/i*i)\/(i**(-1\/15)*i))**5 assuming i is positive.\nAnswer: i**(3767\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 + 173*g**2 - 124 - 158*g**2.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305761 at most as big as 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 356291 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 0.03, 4, 5, 10.\nAnswer: 0.03, 4, 5, 10, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 13*f + 8064. Suppose -x + 429 = y, -4*y - 3*x + 1136 = -f. What are the prime factors of y?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7438 - -7510. Solve 0 = 166*k - 154*k + p for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Suppose x = 3*z - 4*f, 4*z - f - 1 = -0*f. Solve 4*i - 2*i = z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 + 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -97100\nAnswer: 48550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -1\/2*j**4 + 1\/20*j**5 + 0*j**3 + 0 + 6*j**2 + 0*j. What is the second derivative of c(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5725 and 22900.\nAnswer: 22900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10077551 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtrlbbdl. Give prob of sequence ll.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3391 or 3398?\nAnswer: 3391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1810 divided by 14?\nAnswer: 905\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (200 + 124 + 75)*(-1 + 2 + 0)*(15*x + x - x).\nAnswer: 5985*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 99211289 a multiple of 1901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 29*c**2 + 106*c + 11. Determine d(-3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102021 - 21?\nAnswer: -1102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(10) + sqrt(100)\/(sqrt(10)*-2)))**2 - (-5 + (-4*(-1 + sqrt(3)))**2).\nAnswer: -47 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10909260 is divided by 5454621.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2))**(-48)*(n\/(n*n**(-6)\/n))\/n**3 assuming n is positive.\nAnswer: n**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*z - 20 = h, -4*z - 16 = -3*h. Suppose -2*v + 5*v - 105 = h. Let t = v - 20. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1180018 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2. Let p be 14\/(-21) - (-3)\/((-18)\/(-22)). Let f(z) = 2*z - 12*z + p*z + 7*z - z. Determine r(f(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*t - 233 + 68, -4*u - 5*t = -671. Calculate the highest common divisor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1428.\nAnswer: -1\/1428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425880 and 907920.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 10957 and 1.7.\nAnswer: 10958.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36036 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -6*j**3 - 165*j**2 + 879*j + 480 = 0.\nAnswer: -32, -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*x**3 - 290*x**3 - 17*x**3 + 110*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -227 (c) -2213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-12)\/5 - (-14 - 812\/(-20))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**3\/8 + 21*t\/8 + 9\/4 = 0?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 8:52 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 12563445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-10)\/360*((-56)\/(-21))\/8.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 10*f**3\/3 + 3*f. Let m(h) be the first derivative of 41 - 31 - h**2 - 59. Calculate x(m(k)).\nAnswer: -40*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jooj when four letters picked without replacement from {o: 4, j: 5, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 386354 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -15, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 2*z + 0*z)*((0 + 4 - 2)*(7*z + z + 0*z) + 3*z - 3*z - 4*z + (-1 - z + 1)*(0 + 0 + 2)) to the form a + y*z + b*z**2 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 152*g**2 - 1929*g - 392. Determine u(138).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*d - 39*d + 92*d)*(-5 + 0 - 1).\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -28*d**2. Let h(w) = 35*w**2 - 165921*w. What is h(i(q))?\nAnswer: 27440*q**4 + 4645788*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 59\/2264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7008 divided by -2336?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 11*l + 8. Suppose -5*k + 6 = -3*k. Suppose 2*v + 25 = -3*t - k*v, -22 = 4*t + v. Let i(b) = 7*b + 5. Determine t*f(h) + 8*i(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + z + 13. Let c be r(0). Let n = 3 - -5. What is the units digit of 24\/c - n\/(-52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, m: 3, q: 7}. What is prob of picking 2 e and 2 m?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1919*x**3 - 4*x + 24?\nAnswer: 11514*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -12619725460902?\nAnswer: 12619725460902.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 2 = 9*s - 4, 14 = 12*y - s + 51 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3732084*u**2 - 15*u + 26660 wrt u.\nAnswer: 7464168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.77466492 to one decimal place.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/3 + (2 - 2). Let p = -4 - q. What is the remainder when 2 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(475))**2 + (sqrt(19)*5*1 + sqrt(19) - sqrt(19))**2)*-1.\nAnswer: -950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 15*p + 4 = 6*p + 31, 0 = -p + 1 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 4*g + 3*s, 87*g - 5*s = -2340 + 764 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/18 and -25\/270813046?\nAnswer: 2437317414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/15*b + 2\/15*b**2.\nAnswer: 2*b*(b + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwr when three letters picked without replacement from {w: 8, b: 2, r: 4, a: 1}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**6\/660 + 37*j**5\/165 + 25*j**4\/44 - 5055*j**2. Let i(t) = 0. What is t?\nAnswer: -1, 0, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**2 + 16*q + 4. Let k(m) = -m. What is k(i(z))?\nAnswer: 4*z**2 - 16*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 519 divide 60204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -460*h**2 + 489*h**2 + 2*h**4 + 43*h**4 wrt h?\nAnswer: 1080*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2058621770412084 + -3847564307252001871\/1869. Let o = b - -116828158. Let a = -2\/267 + o. What is the common denominator of a and -39?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*o - 55. Let w(a) = o - 24*a - 8. Let h be w(-1). Calculate the highest common divisor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 241?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 - 7*v**2 + 3*v - 2. Let q = 23 - 27. Let k be a(q). Suppose 3*w + k*w - 955 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 107 = 3*a - 13*n, 4*a + n - 154 = 0. Suppose -280 = a*h - 41*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -24 + 16 - 160\/((-20)\/(-5))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(0*d + 0*d + 2*d**2) + (-12 - 2*d + 12)*(182*d - 83*d + 1 - 94*d).\nAnswer: -8*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 + 1 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.49 - 0.59. Let a be (2\/(-32))\/((-4)\/(-24)). Put 2, p, a in decreasing order.\nAnswer: 2, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 22*v**3 + 8*v + 15 + v - 5 - 15*v**3.\nAnswer: 7*v**3 + 14*v + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**5 + 183881*w**3 - 11*w**2 - 3279742*w wrt w.\nAnswer: -40*w**3 + 1103286*w - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 797606001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 24. Suppose 0 = 2*b - 2*p - 78, 0*p - v = 4*p. Suppose 2*d = -3*z + 276, -25 = -5*d - 10. What is the highest common divisor of b and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 208*h - 14. Let c(i) = 69*i - 4. Calculate 7*c(x) - 2*v(x).\nAnswer: 67*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4305 and 39893?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/12 + (-114)\/(-8). Let w be (-1)\/(-3) + 880\/(-12) + -3. Let n = 79 + w. Solve -s - 1 = -n*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 16) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + a. Suppose 5*p - 1 + 6 = 0. Let w(v) = 2*v**3 + 4*v**2 + 4*v. Determine p*w(b) + 4*k(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnn. What is prob of picking 1 n and 1 x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -11, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.3, 5\/6, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*n - 3*l, -l = -n - 4*l - 8. Put 2, n, -5, -2 in decreasing order.\nAnswer: 2, n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 2. Let a be f(4). Let n be 1 - 1\/(a\/(-16)). Calculate the greatest common divisor of n and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 61, 0, -8, 3, 2 in ascending order.\nAnswer: -8, -5, 0, 2, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/1*45\/(-27)*(-5814)\/(-25194).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56852 less than 3311333?\nAnswer: 3254481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (617*t + 48*t**2 - 617*t)*(0*t - 3*t - 4*t).\nAnswer: -336*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 2*u**2 + 3*u**2)*(-17*u**2 + 50*u**2 + 23*u**2 + (-3*u**2 - 3 + 3)*(0 + 0 + 2)).\nAnswer: 100*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 237. Let i(r) = -r - 478. Determine -4*i(z) - 9*j(z).\nAnswer: 4*z - 221","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, f: 1, g: 1, p: 1, z: 1, r: 1}. What is prob of sequence rgf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o**2 - 4*o + 4. Let p(j) = -30*j**2 + 21*j - 20. Let z(k) = -2*p(k) - 11*y(k). Let u(v) = -1. Let c(q) = -5*u(q) + z(q). Give c(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73509151 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 12. Let l be u(7). Solve -x = l*b - 24, x = -4*b + 6*b - 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - z = -85, -3*r - 4*z = -0*z - 80. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -20. Suppose -l*q + 130 = -k + 2*k, 4*q - 104 = 3*k. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + (sqrt(20) + sqrt(5) + -5)**2.\nAnswer: -24*sqrt(5) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1189219 is divided by 3388.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.77 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -38. Let j = m - 15. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*1 + -2 + (84\/21 - 8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -32, 27, 5.4565, 3?\nAnswer: 5.4565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 7 + 21 - 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -206*a + 3978. Calculate i(18).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 264*k**3*u**4 - 6*k**3*u*x + k**3 - 2*k*u**4*x + 3*k*u**2*x + 2*u**2*x wrt u.\nAnswer: 6336*k**3*u - 48*k*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 4147*c - 16559*c + 4142*c + 4138*c + 4138*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -70, 0.1, 3, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -1\/8, -3.\nAnswer: -3, -1\/8, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b + 234*b = 2*b - 3794 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, r: 1, w: 1, y: 3, i: 2}. What is prob of sequence xw?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**3\/6 - p. Let b be t(-3). Let g be (-534)\/(-2)*1\/b. What is g rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208361 rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7038409\/6 + 1\/6*r**2 + 2653\/3*r.\nAnswer: (r + 2653)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 10*r + 11. Let t be z(8). Let o = 17 + t. Suppose -11 = -5*n - v + 47, -4*v - 32 = -2*n. Is n smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72760 and 16080?\nAnswer: 29249520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5331 or 5330?\nAnswer: 5330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 187018886, 187018888, 187018890, 187018892?\n\"Answer: 2*n + 187018884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -34*t. Let g(m) = 2*m. What is -3*c(r) - 30*g(r)?\nAnswer: 42*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 233282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 18 + q**2 - q - 1 - 4. Let o(w) = 6. Let j(b) = b**3 - 12*b**2 + 12*b - 13. Let n be j(11). Let m(l) = n*k(l) + 5*o(l). Find r, given that m(r) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 f when four letters picked without replacement from {f: 1, b: 4, u: 2, y: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 3 = -5*j. Let r be ((-108)\/(-126))\/((-4)\/(-49))*-2. Let s = -18 - r. Solve s*n - 18 = -2*b, -j*n + 21 + 5 = 2*b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + v**2 - v + 34. List the prime factors of l(0).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28327 is divided by 354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 4)*(15944*v - 31*v**3 - 32212*v - 2 + 8*v**4 + 16266*v - 6*v**2) in the form j*v**2 + p*v**4 + q*v**3 + t + d*v and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 21. What is the first derivative of -v - 77*y + 81*y - 4 wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.1 - -9. Let r be 36\/65 + 6\/(-15). Which is the biggest value? (a) q (b) -1\/8 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054677 to the power of 1\/2, to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z**2 + 0*z**2 - 2*z**2)*(-165 - 4*z + 165) + 4*z**2 + 64*z**3 + 7*z**2 - 62*z**3 as m*z**3 + t*z**2 + f*z + l and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -4 - 104\/(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 671218882 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: Find the first derivative of 29*c*n**2 + 181*c*n - 15178369*c + 91*n**2 + 2*n wrt n.\nAnswer: 58*c*n + 181*c + 182*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 83, 132, 187?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -14, -16, -18?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = -3*q. Let h(v) = 5*v + 6. Let c(w) = -3*w - 4. Let x(y) = 8*c(y) + 5*h(y). Calculate x(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1227 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017 times -0.8?\nAnswer: -0.0136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 2\/9, 6\/11, -4, 4\/7, 0.3, 40?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51102646.\nAnswer: 2, 7, 17, 41, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*h - 26, 5*v + 14 = -2*h - 2. Suppose 24 = -2*r + 14. Sort v, r, 5, 2 in decreasing order.\nAnswer: 5, 2, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 + 5*t**3 + 4*t**3 + (0 + 0 + t)*(4*t - 4*t - 2*t**2) to the form x + a*t**3 + p*t + q*t**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 7:51 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 13*a**2 - 19 - a + 26 + 14*a**2 + 18*a**2. Is o(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 214.72 + -219.72. Which is the closest to -0.353? (a) 0.4 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 569277 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s - 1. Suppose -2*c - 6 = 4*h, 0 = h - 5*c - 3 - 23. List the prime factors of o(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -3*g**4\/2 + g**3\/3 - 2*g**2 - 7*g - 38. Let i be w(5). Let x = i - -1064. Does 52 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -w + 8, -2*i - 42 = -7*i + 3*w. Let r(b) be the first derivative of b**2\/2 - 8*b - 2. Calculate r(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l**2 + 121. Let m(j) = j**2 - 24. Give -4*k(b) - 22*m(b).\nAnswer: -2*b**2 + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/33 + 32530\/3. Suppose 30*w - 26*w - 130180 = 0. Suppose 2*t - w = o - 4*o, -2*t - m = -o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 25643484*i\/5 - 82198533957282\/5.\nAnswer: -2*(i + 6410871)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*y - 31 = 56*y - 140. Put 65, 21, y in descending order.\nAnswer: 65, 21, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 425 - 5?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1901 - 1902. Which is the closest to -0.094? (a) d (b) 0.1 (c) 9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, w: 1, p: 3, a: 6, x: 1, v: 1}. What is prob of picking 1 n and 1 x?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 60\/(-6)*3\/(12\/(-10)). Suppose -2*k = -k + 15. Let y = x + k. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3))**14 assuming l is positive.\nAnswer: l**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 237*o**3 - 33*o**3 + 0*o to k*o**3 + f*o**2 + a*o + m and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -30, -35, -30, -9, 34?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1866692 + 666977.5?\nAnswer: 666976.3133308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.1 times 2?\nAnswer: 82.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/((-3480)\/16) - 8\/105?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1694)\/21)\/((-1)\/((-231)\/(-14))) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 6*k - 8. Let j be h(7). Is (j + 0 - -18) + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (214360 - 32102*y - 214360)*(0 + y**2 + 0).\nAnswer: -32102*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 53133.336 seconds?\nAnswer: 14.75926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1614 bigger than -1617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587383*f + 587379*f + 7 + 9 = 0, 3*f = -9*l + 4*l - 23 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((((-21)\/49)\/((-2)\/38))\/((-126)\/441))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2295*n - 2288*n + 404764 = -1254*n + 91838 for n.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 197330649?\nAnswer: 986653245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20571.0000030179 + -20571. What is z rounded to 7 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 126781600 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*k + 18. What is the third derivative of -9*n**3 + k*n**3 + 3*n**3 - 12*n**2 - 9*n**3 wrt n?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-900)\/(-7) + 6\/(-21). Let f = h + -128. Let c be (-2)\/(-16) + -1 + (-75)\/(-104). What is the closest to f in 5, c, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 8, 2 in descending order.\nAnswer: 9, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -27 and 1\/471 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2832903\/130 - -291648\/13. Let m = -645 + h. Find the common denominator of (103\/(-16))\/(6\/(-8)) and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2215*v + 179942 = 2222*v. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -14*g**2 + 828*g + 104. Calculate the remainder when 1320 is divided by z(59).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 912794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o + 6*o + o**2 - 2*o + 0 - 3. What is the remainder when 14 is divided by z(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5676?\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 6333327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -357*l + 3. Is 17 a factor of h(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 888? (a) -6.8 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 3*c - 3. Let a = 9 + -11. Calculate j(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5)\/r)**(-17\/2)*(r\/r**(-7))\/(r\/((r\/(r*r**(4\/7)*r))\/r)*r)*(r**(-1)\/((r\/(r*r**(-3\/5)\/r*r))\/r))**(-45) assuming r is positive.\nAnswer: r**(2487\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*(sqrt(24)\/sqrt(128) + sqrt(3)).\nAnswer: -75*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -20 + 24 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1110110111?\nAnswer: 1110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*(-10)\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a day in hours?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 334*n - 331*n - 1 + 6 to c + g*n and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 0. Let d be ((-70)\/r)\/((-1)\/30). Suppose 5*f = 5*c + d, f + f + c = 48. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/sqrt(968) + sqrt(42) + (sqrt(252)*-3)\/sqrt(6))\/(sqrt(768)\/sqrt(2) - -5*sqrt(36)\/sqrt(6)).\nAnswer: -21*sqrt(7)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1240 (base 5) to base 14.\nAnswer: dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -659 and 0.1716?\nAnswer: 659.1716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 1589, 3\/8, -26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (198*p - 105*p + 28*p)*(-5 + 2 + 1) as a*p + y and give a.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + a + 1. Let o be r(-2). Suppose -j - 2*q = -10, o*j + 2*j - 5*q + 10 = 0. Factor -10*b**2 + 2*b**2 - 9*b + 11*b**j.\nAnswer: 3*b*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 5. Let c be h(-7). Let j = 0 - c. Solve 0*q - 6 = -j*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -a - 7*x, 660*x - 665*x = -4*a - 68 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -dca339 (base 14) to base 8\nAnswer: -34422717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/8*(-108)\/243?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -959, -1929, -2903, -3881?\n\"Answer: -2*x**2 - 964*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -7*j**3\/6 - 6*j + 1. Let f(o) = -18*o. Determine n(f(d)).\nAnswer: 126*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 0 - (8 + -3) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7318 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 10*a - 8 + 4*a + a - 3*a + (a - a - a)*(5 - 5 - 2))*(a - 3 + 3).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1*1*180\/90)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 = -30*s + 4*s. Which is bigger: 7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 9:24 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2684395, 2684397, 2684399, 2684401, 2684403?\n\"Answer: 2*g + 2684393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32.00000212 + 32. Round a to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -23. Which is the closest to 3? (a) 0.5 (b) v (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/65*-1)\/((-6)\/(-30)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 4*m**3\/3 - 3*m**2\/2 - 26*m. Calculate the remainder when 51 is divided by h(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = 2*n + 104 + 110 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-2\/5)\/p))**(-3)\/((p\/(p\/((p\/(p*p*p\/(p*p*p**0)*p*p))\/p)))\/(p*p**(-3))) assuming p is positive.\nAnswer: p**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -79 (b) 0.12 (c) 0.4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 74 - 54. Solve o*w = 5*r - 30, -10 = -r - 0*r + 2*w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.2608539 rounded to one decimal place?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**2 + 6*s + 6. Let l(x) = -8*x**2 - 7*x - 7. Let g(r) = 6*l(r) + 7*w(r). Calculate g(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s + 5. What is the remainder when 644\/(-12)*153\/(-357) is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n - 57. Let q be (-39)\/9*-3 - 3. Let u = q + -9. Solve u = -5*y - n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10 - (-4)\/10. Let h(t) = -5*t + 5. Let f(w) = 12*w - 11. Let z(v) = 2*f(v) + 5*h(v). Give z(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2979*y + 1450*y + 5 + 1415*y)*(2*y + 0*y + 0*y) to the form z*y**2 + i + r*y and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 16478672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.054 - -0.254\nAnswer: 0.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 - (4 + 1 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, p: 1, h: 2, v: 2, l: 7, y: 1}. What is prob of picking 1 x, 1 v, and 1 h?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -9643.\nAnswer: 28929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9757814?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-13))**(-14\/9)\/(a\/(a*a\/((a*(a\/((a**26*a)\/a))\/a)\/a))*a\/a**24) assuming a is positive.\nAnswer: a**(632\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 25 = -5. Let o be (w\/4)\/(1\/2). Put 4, -3, o in ascending order.\nAnswer: -3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -15. Let f(x) be the first derivative of x**3\/3 + 2. Let q(m) = 6*m**2. Suppose -2 = p + 3. What is o*q(s) + p*f(s)?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 4\/(-1)) + (2 - 3). Suppose -3*m + g*w = w + 5, m - 15 = -2*w. List the prime factors of 96 + m + -5 + (-1 - -2).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -89? (a) -4 (b) 4\/21 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10411, -10424, -10445, -10474, -10511, -10556, -10609?\nAnswer: -10670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.396592 millilitres in litres?\nAnswer: 0.006396592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/21)\/((-12)\/42). Let i be 12\/20*(8 - q). Solve i*b + 22 = b - 4*a, b - 4*a - 13 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 3)*(-10)\/4. Let r(z) = -z**2 - 11*z + 9. List the prime factors of r(q).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38.9 - 119.9. Let b = -83.8 - d. Is 5 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d**3 + 8*d**3 - 2*d**3 - 48*d**3.\nAnswer: -62*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**3 + 312*b**2 + 2564*b + 5520 = 0 for b.\nAnswer: -69, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlyyykylyzyyykyykzy. What is prob of picking 1 l, 1 y, and 1 k?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n. Let w(p) = -6*p - 104. Determine 5*j(m) + w(m).\nAnswer: -m - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4639 (b) -2 (c) -0.5 (d) 13 (e) 8.3 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54010?\nAnswer: 2, 5, 11, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -42926.54 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 530.1 + -530. Is h at most as big as -0.0849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 514720 in increasing order.\nAnswer: 2, 5, 514720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a millennium?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 11:25 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6))\/((-1)\/(-15))*116936\/6220\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 21*y**5\/2 - 95*y**4 + 273*y**3\/2 - 30*y**2 - 22*y = 0?\nAnswer: -2\/7, 0, 1, 22\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 478850 and 2?\nAnswer: 478850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -157 + 170. What is the remainder when 47 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 5*p + 23, -8*p = 3*r - 4*p + 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 17 = 67. Suppose 0 = l - 26 - 1. What is the remainder when l is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4434956 to the power of 1\/2, to the nearest integer?\nAnswer: 2106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 21 = -2*a + 6*a, 5*a = -4*b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 2104*a + 1106704.\nAnswer: (a - 1052)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + -31 + 34 + 21 - (-1 + 14).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 1, w: 1, p: 1, i: 1}. What is prob of sequence kz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g**2 - 5. Let r(c) = -c + c**2 + 3*c + c - 4*c + 1. Let a(h) = -6*r(h) - w(h). What is a(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -3, 0.08 in ascending order.\nAnswer: -3, 0.08, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 33064428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -32. Solve 0 = 3*o - 4 + r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 3:00 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -794*r - 259*r - 866 = -2972 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -4, 3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 28*r - 14. Suppose -2*c + 4 = 4*o + 14, 3*o - 60 = 3*c. What is the remainder when 189 is divided by d(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1\/3 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -21, -1, 5, -8, -4 in descending order.\nAnswer: 5, -1, -4, -5, -8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 225, 305, 391, 483, 581, 685?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228960453?\nAnswer: 3, 47, 1623833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 52945.2*-1.3\nAnswer: -68828.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**2 - 700*g - 16053. Give u(-30).\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/8)*d*d**(-15))\/((d\/(d*d*d*d*d*((d*d*d\/(d*d**14))\/d)\/d*d*d))\/(d*d**(-9\/4))))**(-18) assuming d is positive.\nAnswer: d**(1611\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(64) - 2*sqrt(1300)) + -5 - (sqrt(65) + (sqrt(65) + -1*sqrt(65))*2 + sqrt(65))\/(1*sqrt(245)).\nAnswer: -561*sqrt(13)\/28 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 6*g - 60. What is the highest common factor of g and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 - 1)*(0 - 1 + 3) - 2 - 2 + 3)*(111*m**2 - 17*m**2 - 62*m**2)*(4 - 1 - 2) + 2 - 2 - 3*m**2 to i*m + d + j*m**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1015 or -1071?\nAnswer: -1071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3181009687.\nAnswer: 23, 138304769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35347.83 - 35348. Which is the closest to 0? (a) 5\/7 (b) 3\/7 (c) -6\/7 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.35 (b) 0 (c) -0.76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((29304\/55)\/72)\/((-2)\/10).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 12:15 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 7)*((20 + 70*x - 20)*(-15*x + 7*x + 3*x) + (-2*x + 0 + 0)*(-6*x + 4*x + 4*x)).\nAnswer: 708*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, a: 9}. What is prob of picking 3 w?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-six fifths of a millennium?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - (-94 + 44)) + -5\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 6*g - 6. Give i(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2412 a factor of 767998281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35586, 35587, 35588?\nAnswer: 35589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(75)*-2)**2.\nAnswer: 120*sqrt(3) + 1209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (16*2\/(-10))\/(230\/(-575)) - 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-60))\/(19\/(-95)). Let w = 121\/3 + -40. Is l at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 0.4, 5, -3\/283, 0, 3 in increasing order.\nAnswer: -0.8, -3\/283, 0, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 600572 - -3?\nAnswer: 600575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*i - 3*i - 30, -4*s = -4*i. Factor y - y**s - y**3 + 3*y**3 - 2*y.\nAnswer: -y*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42*((0 - 52\/(-24)) + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*j**5 + 57*j + 6 + 0*j**2 - 58*j + 0*j**2 + 59*j wrt j.\nAnswer: 1340*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**3 - 2*z**2 + 2*z - 6. Let x(f) = -21*f**3 - 9*f**2 + 9*f - 25. Let m be (34 - 33)\/(-1 + (-8)\/(-9)). Determine m*l(a) + 2*x(a).\nAnswer: 3*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, m: 5, p: 1, f: 1, w: 1}. What is prob of picking 1 w and 1 f?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1152845 and -23060.\nAnswer: 1129785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 666 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21897950201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from tptptpp.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19267 - 19262. Solve 23*p + 112 = -w*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 u when three letters picked without replacement from {h: 3, u: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42, 108, 174, 240, 306, 372?\n\"Answer: 66*x - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14790359 is divided by 1344578.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8*n. Let l(w) be the first derivative of -5*w**2\/2 - 15*w - 6. Let y be l(-6). Let h(o) = 8*o - y*o + 5*o. Give p(h(i)).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*j - 4. Let t = j - 4. Which is bigger: t or 7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2200 + 103313230?\nAnswer: 103311030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 207, -4, -0.2, 2 in descending order.\nAnswer: 207, 2, -0.2, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -75*h + 154*h + 5*h**3 - 75*h. Let q(n) = 20*n**3 + 15*n. What is 15*a(j) - 4*q(j)?\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 403651715?\nAnswer: 403651711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 + 2 - 2 + (2*m - 2*m + m**4)*(-2*m + 0*m + 3*m) + m**5 - m**5 + m**5 + 25654 + 14602*m**5 - 25654.\nAnswer: 14603*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/16 in 1\/47, -2\/33, -3.6, 4, -0.4?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303, -599, -907, -1233, -1583, -1963, -2379, -2837?\nAnswer: -3343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 6 - 13)*(6 - x - 1 - 21).\nAnswer: 4*x + 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44543083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -1. Suppose 2*z - 167 - 163 = -332. Let j(b) = -3*b - 3*b + 3*b - 2. Determine z*m(w) + j(w).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/(4998\/(-728))*7?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3689 = 3*i - 34*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -89, -172, -255, -338, -421, -504?\n\"Answer: -83*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*h + 3 + 7, 4*h + 4*b = 40. Suppose -p + 7 = -2*g, -h*g + 0 = 4*p + 37. Sort 10, g, -3 in descending order.\nAnswer: 10, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 189*b - 7242. Determine a(39).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 4. Is n at least -8\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*t - t**2 - 18*t - 10*t**4 + 0*t**2 in the form x*t**4 + a*t**3 + o*t + c*t**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*l + 10 = b, -3*b - l + 20 = 0. Suppose 2 = 2*h - b*s, -s + 0 = -2. What is the remainder when 27 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 4) to base 16.\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -8*n + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75121441?\nAnswer: 75121441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 616896 a multiple of 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 253 + -252.841. Let p = k - -0.241. What is the closest to 4 in 5, p, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 - 6*k**2 + 12*k + 35. What is the remainder when i(-4) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3107 <= -0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2673 is divided by 103?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + y**2 + 7*y + 18. Let c(t) = -t**3 + 2*t**2 + 8*t + 23. Let b(i) = 2*c(i) - 3*w(i). Calculate b(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 5*u + 5*u - 2*u as w*u + y and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from {b: 6, l: 9, a: 1, w: 1}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 - 10*m**3 + 19*m**2 + 70 - 2*m**3 - 49 - m**2. Let j(w) = -3*w**3 + 5*w**2 + 5. Let b = 1 + -6. Determine b*s(y) + 21*j(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c + 33 = -13. Suppose 4*w = -4*k + 2476, c*k + 368 = 5*w + 1627. List the prime factors of k.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 5 + 0 + 3. What is k(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 80*y - 131. Let o(v) = -v. Calculate o(b(i)).\nAnswer: -80*i + 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3*t**3 - 87*m**3*t*y**2 - 208*m**3*t + m**3*y - 14*m*t*y - 151*t**3*y**2 wrt y?\nAnswer: -174*m**3*t - 302*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1557808*y**2 - 61*y**3 + 3115620*y**2 - 1557812*y**2 - 13 + 13.\nAnswer: -61*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19910 = 15*k - 10195. What are the prime factors of k?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**4 - 2*c + 2*c**3 + 3*c + 0*c**3 to i*c + x + d*c**2 + k*c**4 + m*c**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 3\/5, 0.5, 1.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) - (-1957)\/38. Suppose -45*g = -y*g - 21. What is the tens digit of -3*((-490)\/g)\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 10:48 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2. Let v(b) be the third derivative of b**5\/20 - b**2. Calculate v(w(t)).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from {m: 7, i: 7, h: 2, a: 3}.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(252))**2 + sqrt(7) + 1 + 1 + (1 + sqrt(7) + 1 + 3 + sqrt(112))**2 + -1.\nAnswer: 51*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + -3 - sqrt(1088)) + 3 + sqrt(1088))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -268488*o. What is x(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5 - 10 = -3*k, u = -5*k + 13. Suppose 0 = -2*m + 5*o + 1 + k, -2*m + 3*o = -4. Solve m*d = -12 + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19210789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -12*p + 4. Let d(t) = t. Calculate -5*d(q) - h(q).\nAnswer: 7*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/(-495))\/((28\/(-6) - -4)\/(53\/106)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 8:26 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-38)*2*6\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -50bd - -4?\nAnswer: -50b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-105)\/2))\/((-294)\/4116)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -96*g + 7342 + 146. Let o = 553 + -280. What is the greatest common factor of g and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 10, 2\/11, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**6\/60 + w**5\/30 - w**4\/12 - w**2. Suppose 26 = -18*q + 5*q. Let o be z(q). Let y(m) = -m - 5. Calculate y(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001919983809 rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -19. Let m be (18\/o)\/(4\/160). What is the highest common divisor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*w = 65*w - 2916. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-13986)\/81)\/74)\/((-132)\/27)*8?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b + 31. Let r(m) = 5*m + 31. Determine -5*l(w) + 4*r(w).\nAnswer: 5*w - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1041715 - 104?\nAnswer: 1041611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - 148. Is l\/(-1)*1\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-4))\/((-6)\/(-8)). Let q be (6\/(-201))\/(n\/6). Suppose -5*b + 30 = 0, -2*k = 30*b - 33*b + 16. Which is smaller: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(12)*2.\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28908230 a multiple of 590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 divided by -46.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 324, 5, -4 in ascending order.\nAnswer: -4, 3, 5, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 4. Suppose -50*k = -57*k - 56. What is d(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.0886.\nAnswer: -0.2658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 3*y + 3. Let a(x) = -8*x**2 - 22*x - 22. Let c = 5 - -22. Let j = c + 17. What is j*d(l) + 6*a(l)?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/8 and 107\/774?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17693 a multiple of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2709 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v - 87 + v**2 - 9*v + 4*v. Let o be l(-6). Factor 3\/4*g + 0 + 9\/2*g**o + 3*g**4 + 3\/4*g**5 + 3*g**2.\nAnswer: 3*g*(g + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t - 6 = 0. Suppose 0*b = -2*b + 4*h + 20, 22 = 3*b - t*h. Solve 3*f + b = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z*z**26\/z)\/z)\/z)\/z**34)\/(((z**(-1\/6)*z)\/z)\/z*z**(-5)\/z))**39 assuming z is positive.\nAnswer: z**(-221\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585 + 295 = 83*x - 365. Solve x*r = 26 - 71 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 9 = 0, -s + 3*s + 442 = 4*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v. Let l(i) = -4*i + 18. Let d(o) = -o + 4. Let m(q) = -9*d(q) + 2*l(q). Determine m(a(s)).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.52464 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-45)*3*15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**4\/9 - 20*y**3\/9 - 2*y**2\/3 + 56*y - 120 = 0?\nAnswer: -5, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c - 40 = -a, -8*c + 10*c - 6*a = -c + 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2 + 9*c + 557. Calculate s(12).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11626699*t**5 + 44617231*t wrt t.\nAnswer: 232533980*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 8.05, 3\/8?\nAnswer: 8.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*i = -6*i + 33, -5*i + 69 = 2*d. Let o = 50 - d. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4757994kg to grams.\nAnswer: 475.7994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-107*(-9)\/30174).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 129, 134, 157, 198, 257, 334, 429?\n\"Answer: 9*w**2 - 22*w + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.167 rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = q + 2 + 3, 3*q + 23 = -5*n. Let j = -4 - q. Let y(h) = h**3 - 3*h + 3. Calculate the remainder when 12 is divided by y(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*l - 0. Let b = 5 + l. Suppose -41 - 19 = -15*o. Solve -z + 12 = b*m, -13 = o*z - 3*m + 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*(-2*m + m + 0*m) - 34*m - 8*m + 3*m to l + g*m and give g.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 2*g**2 + 2*g - 2. Determine x(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/96 and 89\/92.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 - 8*v - 6. Let p(i) = -3*i**2 - 9*i - 6. Let c(z) = -4*d(z) + 3*p(z). Suppose 10 = 2*t - 2*l, 2*t + 9*l = 4*l + 10. Calculate c(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssss. What is prob of sequence sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/12)\/(6\/(-9)). Solve -r*x = -5*x - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a + 17*a - 2304 = 0. Find the second derivative of 77*f - 37*f + a*f**3 - 44*f - 25 wrt f.\nAnswer: 384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 7*q + 11*q = 0. Suppose -173*m + 191*m - 3276 = q. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 5*q = 3*g - 39, -3*g = -4*q + 12. Let y be (g - -2)*6\/(-9). Solve -3*m = -b + 3 + 5, -4*m = y*b + 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, -6, 4 in descending order.\nAnswer: 4, -2, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 0*d + 10. Suppose 3*x = -0*s + 5*s - d, 3*s = -5*x + 37. Suppose 2*h = -5*p - 0 + 5, s*p = -20. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 6 - 30. Suppose 1151*y = 1143*y + 240. What is the greatest common factor of c and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 3*r + 0*r)*(2*r + 5*r - 5*r) + 4*r**2 - 6*r**2 - 8*r**2 + (-2 + 2 + 1)*(0 + 0 - r**2).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**3 - 510*k**2 - 42966*k - 1193562 = 0.\nAnswer: -93, -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-9)*w*w\/(w\/w**6)*w\/(w**8*w)*w\/(w*w\/w**9)*(((w**(-12\/5)\/w)\/w)\/w*w**(-1\/31)\/w*w)**(-1\/40) assuming w is positive.\nAnswer: w**(-2679\/3100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3333205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141 and 16826.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -848 and -849 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 - 2*l**2 - l. Suppose -2*o + 2 = -o. Let b be v(o). Solve b = -g - g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 0*a**3 + 4*a**3)*(a + 2*a - 2*a) - 4*a**4 - 14*a**3 + 14*a**3 + 1 - a**4 - 1 + 0*a**4 + a**4 - 3*a**4 + (-6 + 3 + 4)*(a**3 - a**3 + a**4).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 11 - 11)*(-6*y**5 + 0*y**5 + 4*y**5) - 11*y**5 - 9*y**5 + 2*y**5 + (-3*y**2 - 1 + 1)*(-3 - y**3 + 3).\nAnswer: -21*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 4, u: 5}. What is prob of picking 2 u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17971736.\nAnswer: 2, 2246467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1146044 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i + t + 3 = 0, 4*i - 18 + 8 + 4 = 2*t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**2 + 57*r**2 - 77*r**2 + 2*r**2 - 5*r**2 + 15*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*h = 8, -n = -h - 2*h + 8. What is the second derivative of n*t + 0 - 2*t**3 - 9 + 9 wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190 - 134*h - 93 - 105*h - 92.\nAnswer: -239*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -5\/12*f**4 - 4*f + 0 - 1\/10*f**6 + 0*f**5 + 0*f**3 + 0*f**2. What is the third derivative of a(p) wrt p?\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 7*w + w. Calculate the remainder when 5 + 0 - (-760)\/10 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 449*n - 2655. Determine y(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 980500 rounded to the nearest ten thousand?\nAnswer: 980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:08 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -841 + 839. Put 0.3, 0.15, 3\/4, o in decreasing order.\nAnswer: 3\/4, 0.3, 0.15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-4)\/2)\/((-2)\/(-10))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0253 * -2\nAnswer: 0.0506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 1 - 2. Let n be -138 + q\/(2\/6). List the prime factors of (2\/3)\/((-6)\/n).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 25 = 5*z - 10, 4*z - 2*b + 12 = 0. Let u(a) = 3*a**2 + 2*a + 1. Calculate the remainder when 85 is divided by u(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -1 - 3. Let i = -4 + 4.05. Which is bigger: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -8, -4*s + 2*s + 32 = 5*b. What is the greatest common divisor of s and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*x + 111, -1 = r + 3*x - 16. Suppose -u + 4*u - r = 0. Solve 3*f = 4*f - 3*w + 17, 0 = -2*w + u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (10 - 4 - ((1 - 1) + -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 + 89*l + 185. Calculate t(36).\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 0*l + 0*l - 2195*l**2 - 2052*l**2 + 3831*l**2. Let c(t) = -2*t. Determine q(c(n)).\nAnswer: -1664*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 - 5242 + 10485 - 5243 - 26*a in the form w*a + l + x*a**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5961852 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, s: 3}. Give prob of picking 2 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 5*w + 14. Calculate the lowest common multiple of l(-4) and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 61*u + 77. Let v(k) = 32*k + 36. Determine -5*j(o) + 9*v(o).\nAnswer: -17*o - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -10*q + 87. Find the third derivative of 6440*b**2 - q*b**3 - 6436*b**2 + 3*b + 86*b**3 wrt b.\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {o: 5, u: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/4 + (-408)\/51.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 98, 402, 908, 1616, 2526, 3638?\n\"Answer: 101*j**2 + j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2247135611.\nAnswer: 7, 313, 1025621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 79, 172, 265, 358?\n\"Answer: 93*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174168943 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115 + -10101450?\nAnswer: -10102005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3372*s = -3205*s - 2841*s - 10188*s - 1054684 for s.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 251041, 251037, 251035, 251035, 251037, 251041?\n\"Answer: g**2 - 7*g + 251047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -0.379, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*(-2)\/(-1). Is (4 - 3)\/(w\/(-85)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3640 - 3604. Solve -m = -25*f + 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 1 + (-4 - -4 - 4) + 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2 + sqrt(52))**2 + (sqrt(13) - -3*sqrt(13))*5).\nAnswer: 56 + 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 - -478\/5. Let k be 219\/(-138) + (-28)\/(-322). Let y = -4 + 3. Which is the third smallest value? (a) k (b) p (c) y (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/x**(-32))\/x*x*x*x)\/x*x\/((x**23*x)\/x)*x)\/((x\/x**(3\/5))\/(x**(2\/3)\/x)) assuming x is positive.\nAnswer: x**(199\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 2:06 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 6, -17, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/2181, 3, -0.03, 0.5, 5 in decreasing order.\nAnswer: 5, 3, 0.5, -2\/2181, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 124*h**3*w - 4*h**2 - 49*h*w**2 - 7*w**2 + 19966*w + 3 wrt h.\nAnswer: 372*h**2*w - 8*h - 49*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2993*i - 2622*i = -2648*i + 78494 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9845476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/6)\/5*(-6)\/(-40).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 220258574?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*m - 10 = -346*m + j, m + 2 = -j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4611, -4597, -4581, -4563, -4543, -4521, -4497?\n\"Answer: c**2 + 11*c - 4623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7154, -13979, -20804?\nAnswer: -27629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1665 by -1.\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7161 and 42900466.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*l - 190 = 0, 5*a - 198 + 8 = l. What are the prime factors of a?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 3, s: 9, w: 2, a: 3}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 - -41 - (-48 - 0).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*j + 9, -5*j + 5 - 38 = x. Let f(h) = -h - 5. Let b be f(x). Suppose 2*c + q = 25, -39 = -b*c - 2*q - 4. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + ((-3 + -1 + sqrt(720) - sqrt(720))**2 - sqrt(720)) + 0 + 3).\nAnswer: -60 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2978*a + 3084*a + 2948*a - 9010*a - 2*a**2 + 1.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 6*v + 3*v)*(1 - 1 - 2)*(-2 + 1 + 0)*(-237 - 119 + 57)*(-5 + 2 + 1).\nAnswer: -2392*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 + -34. Let y = t - 37.9. What is the nearest to 5\/4 in y, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 975016459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**7\/m*m)**(-1\/14)*(m*m*m**(-1\/8))**(-8))**(-7) assuming m is positive.\nAnswer: m**(217\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-24))\/(2\/8). Let x = -107.8 - -108. Sort c, x, 0 in ascending order.\nAnswer: 0, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*1)\/2*-7. Let p(o) be the second derivative of -o**3\/3 - 4*o**2 - 27*o. Is p(v) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, c: 5, y: 8}. Give prob of picking 2 c.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -440417 or -2202081\/5?\nAnswer: -440417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*l - 1256, 254 = 2*l - l + 3*b. Let a be -4*(2 + l\/4). Is (-1 - a) + 0 + -4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 3:34 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 354, 802, 1430, 2238, 3226, 4394?\nAnswer: 5742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 57, -3, 4, -278, -2 in ascending order.\nAnswer: -278, -3, -2, 1, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 + 0*h**4 - h**4)*(25*h - 2*h - 12*h) - 12*h**5 - 19*h**5 + 2*h**5.\nAnswer: -51*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 18 + 45 + 19 - 10 + 4*j - 13.\nAnswer: 4*j + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 40128 = -y + 31117, -2*y = -3*d + 53431. What is d rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + sqrt(80) + sqrt(45) + -1 + -4)**2*-2.\nAnswer: -522 + 112*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26714761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83541339.\nAnswer: 3, 7, 1326053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -265 + 1329\/5. Let s = 7 + -10. Which is the closest to 2\/7? (a) -0.4 (b) w (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1155 or 1152?\nAnswer: 1152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -11*r**8\/336 + r**4\/24 + 6*r**2 + 9. Let s(k) be the second derivative of w(k). What is the second derivative of s(g) wrt g?\nAnswer: -220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.4, 0.4155 in increasing order.\nAnswer: 0, 0.4, 0.4155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 635 and 7747?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 11:43 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/44 and -41\/5.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2271 divided by -203.\nAnswer: -2271\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29742701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v**2 + 134*v - 156. What is j(21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 3 (c) 0.2 (d) -35\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67651760 by -286660.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -253813 + -20784917?\nAnswer: -21038730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 34455?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -3\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 607350 to the power of 1\/2, to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 42568693, 42568694, 42568695, 42568696, 42568697?\n\"Answer: k + 42568692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 969 - 975. Let a(q) = q**2 - 11*q + 24. Does 7 divide a(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39597 and 40188?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -344, -9391 in increasing order.\nAnswer: -9391, -344, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9*j*(j**(-3\/8)*j*j)\/j)\/(j*((j*j\/(j*j\/(j*(j*(j*j**(-2\/9))\/j*j)\/j*j)))\/j)\/j*j*j**(-3\/8)) assuming j is positive.\nAnswer: j**(74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1748*m**4 + 589*m**2 - 3181780?\nAnswer: -6992*m**3 + 1178*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g + 4*g + 17 = -2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*m**3*u - 23940*m**3 - 86*m**2*u - 6*u wrt u?\nAnswer: -7*m**3 - 86*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w**2 - 4 + 4)*(w + 4*w - w) + w**3 - 4 + 4 + w**3 - w**3 - w**3 + 2 - 4 + w**3 + w**3 to a + r*w**3 + i*w + m*w**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9506 by 97.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -111*f. Let r(m) = 4*m - 240. Let g(h) = 2*h - 90. Let l(u) = 8*g(u) - 3*r(u). Determine l(t(v)).\nAnswer: -444*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -8, -63, 2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**3 + 4*w**2 - w. Calculate the remainder when 208 is divided by u(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/2)\/(5\/(-10)). Let g(n) = y - 1 + 5*n - 2*n. Let k = -6 - -11. Let a(r) = -4*r - 5. What is k*g(o) + 4*a(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*f + 137, -68 = -5*f - u - 289. Let j be (-3 - f\/14)*-1. What is the nearest to 0.1 in -0.3, 0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p. Let q be (-108)\/(-20) - 2\/5. Suppose 2*d - 1 = q. Let i(w) = -d*w + 8 - 8 + 5*w. Give k(i(x)).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 601469?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 332 and 21912.\nAnswer: 21912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*j + 0 = 5, 2*g - 19 = 5*j. Let m be (-7)\/(3\/(-6 - g)). Suppose 0 = 6*h - 7*h + 28. What is the greatest common factor of m and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165996 and 92376?\nAnswer: 425945736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f + 20*f + 14*f.\nAnswer: 61*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 12*f + 5. Let b be o(12). Is 18 a factor of -4 + (b - 4) + 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 69.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5029.5 - -5029. Which is the nearest to -21? (a) w (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 5*z**4\/3 + z**3\/3 + z**2. Let b be r(1). Calculate the highest common divisor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = -59 - 84 + 11 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (1 - 2) + 35. Let i = 4781\/146 - 18\/73. Let s = l - i. Which is the closest to s? (a) 0.4 (b) -1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/3*((-192)\/2016)\/(2\/(-3))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4463 (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11042706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 26. Suppose c = w - 4. Factor -2*g**3 - g**2 + 2 + 5*g**3 - 3*g - 2*g**4 + 7*g**4 - 6*g**w.\nAnswer: -(g - 2)*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 5*k - 5. Let d(o) = o**2 + 10*o + 10. Let z be d(-9). Let j be h(z). What is the tens digit of 29*4\/2 - (-2)\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 8*r - 17. Let i(v) be the third derivative of v**4\/12 - 2*v**3\/3 - 3*v**2 - 115. What is -9*i(z) + 2*p(z)?\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 35 = -119. Is 27 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*h - 0. Suppose k - 2 = h. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/((-360)\/(-276)))\/(-7*9\/189).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(240)*2 + 1*sqrt(375)*1)\/(((sqrt(15) - sqrt(240))*-4)\/((sqrt(42)\/sqrt(2))\/sqrt(7))*-3).\nAnswer: 19*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*i = 5*i + 86640, -5*i = 2*p + 173285. Round p to the nearest one thousand.\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 1809072 in ascending order.\nAnswer: -5, 0, 1809072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4069178 and 0.06457.\nAnswer: -4069177.93543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z = 2*p, p + 14 = 4*z. Suppose -p*i = -2, 0 = g + 3*g - i - 139. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 6*m = 3*m + 14, 2*c - 2*m = -6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -61083 (base 10) in base 16?\nAnswer: -ee9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/28, 294, 0.2 in ascending order.\nAnswer: -1\/28, 0.2, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -3. Suppose -p*t = -t + 16, 2*w - 24 = -t. Calculate the greatest common divisor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/4 + 20\/(-10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90065431477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2855 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -426 divided by 142?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*u = 40 + 8, 5*o = -u - 46 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 0*u. Let t = 31 - 11. Suppose -5*z + 3*z + 4*s - 12 = u, 5*s - t = 5*z. What is the closest to -2\/5 in -4, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.4021 - 395024.8\nAnswer: -395014.3979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 7*w**4\/2 + 10*w**3\/3 - 11*w**2\/2 + 88. What is the second derivative of q(u) wrt u?\nAnswer: 84*u + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 3*z**2\/2 + 31*z - 1. Let b be l(-7). Let j be 1 + -2*2\/7. Sort -3, j, b in increasing order.\nAnswer: -3, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4, -0.08, 0, 2\/29?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 5*y**2 - 3*y**2)*(-y + y + y**2) + (y**3 + 0*y**3 - 2*y**3)*(3*y + y - y) + 0*y**4 - 2*y**4 + 3*y**4.\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, m: 11}. What is prob of sequence mlmm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.4 - -0.1. Let u = 3.6 + h. Let m = u - 6.3. Which is the biggest value? (a) -0.3 (b) -2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4285, -3\/7, 2, 11, 0.12?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125215 or -0.3?\nAnswer: 125215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 18 = -3*k, -3*k - 61 + 31 = -5*u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316087257.\nAnswer: 3, 3137, 33587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmxmmmxxxx. Give prob of sequence mmmm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9362 + 9*r**2 + r**3 + 2*r + r**4 + 4*r**4 - 9334 - 2*r**4 to the form v*r**4 + f + m*r + o*r**2 + w*r**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 bigger than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 26*m + 113. Let g(t) = 13*t + 65. Let j(u) = 7*g(u) - 4*l(u). Give j(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r - 18. Let w(c) = 16*c - 54. Determine -10*n(k) + 3*w(k).\nAnswer: -2*k + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-1*(-5)\/((-20)\/(-244)). Let u = -8364 + 8486. What is the greatest common factor of k and u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 4. Let d be p(-4). Suppose 49 = -d*a - a. Let b = a + 97. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 808980 and 1294368?\nAnswer: 6471840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8058.\nAnswer: 2, 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 3\/7 (c) -135 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89378 = -330*g - 301*g + 2172*g for g.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 18 - 21*r + 4*r + (-1 + 3 - 3)*(-2*r - 2*r + 5*r) to q*r + x and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1676205, 5, -2, -5 in increasing order.\nAnswer: -5, -2, 5, 1676205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + (sqrt(320)*-1)**2 + sqrt(320) + 2)*-5.\nAnswer: -1620 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 2*y**3\/3 - 7*y**2\/2 + 2*y + 239. What is b(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 - (-11 - (135 + -120 - (4 + 12 + 1)))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-4)\/((-12)\/33). Let c(m) = -m - 6. What is c(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6613\/1018 equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -201*s + 2. Let c(q) = -41*q - 2211. Let p be c(-54). Let g(h) = 67*h - 1. Calculate p*x(z) + 8*g(z).\nAnswer: -67*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8193274.2 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1555*d. Let l(n) = n**2. Give l(j(a)).\nAnswer: 2418025*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 2*l - 1. Let n(p) = -p**3 + 3*p**2 + 4*p + 2. Let g be n(4). Let x be w(g). What is the derivative of -x - 2*u**4 + 2 + 3 wrt u?\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*i**3*p**2 - 16*i**3*p + 2*i**3 + 26*i**2*p**2 - 2*i**2 - i*p**2 + 2 wrt i.\nAnswer: -120*p**2 - 96*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 138.\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 7. Let m be 1\/(-2)*(13 + -26 + 7). Let c(a) = 4. Let q(d) = 4*d**3 + 2*d - 1. Let o be q(1). Determine m*s(w) + o*c(w).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.3, 2\/13, -5, 0.4, 2\/265?\nAnswer: 2\/265","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5674389 and 4?\nAnswer: 22697556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2*0)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from {w: 5, f: 2, k: 2, a: 3, l: 3, v: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 6:49 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l - 20. Let x be v(6). Suppose -i = 3, -4*i = -o - x*o - 8. Let u = 278\/5 - 56. Sort 0, o, u in increasing order.\nAnswer: o, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 24 = 27. Let t = -17 - r. Suppose j = 3*u + 14, 2*j - 4 = -t*u + 2*u. Which is smaller: -7 or u?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*d = 1 + 11, 5*k = 2*d + 8. Suppose 5*u = 2*x - 5, -2*x + 5*u + 3 = k*u. Find o such that 0 + x*o + 1\/3*o**3 + 1\/3*o**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1448 + 11675 = 59*k - 1291*k - 12749 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((t*t**(-1\/3)*t)\/t*t)*t))**(-4))**49*((t\/(t\/((((t*t**(1\/2)*t)\/t)\/t)\/t)))\/t*t**7)\/(t**(-4)\/t**7) assuming t is positive.\nAnswer: t**(-685\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4671*l + 4627*l = -573056. Is 37 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4920630 rounded to the nearest 10000?\nAnswer: 4920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -5, 168.\nAnswer: -48, -5, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-48)*156\/143\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*y - 72*y + 480. Factor 2074 - 4*i**3 - 6170 - 102*i**2 - 41*i**2 - y*i**2 - 37*i**2 - 4352*i.\nAnswer: -4*(i + 1)*(i + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + f + 3005, 0 = 3*v + 2*v + 5*f - 3725. Suppose 5*s = -0*s + v. Suppose -4*a = -9*a + s. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 412 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = q - 3. Suppose -q*o + 168 = 2*o + 4*i, 2*i - 47 = -o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*j + 12. Suppose -2*w = -j - 3. What is the second derivative of -2*i + 3*i**2 + 4*i**2 - 3*i**2 - w*i wrt i?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*h + 9*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 18 in descending order.\nAnswer: 18, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -17*6\/((-18)\/21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*d - 69 + 9886, 5*c + d - 16353 = 0. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k + 2. Suppose 6*i - 2*i - 2*v - 12 = 0, -5*i + 5*v = -25. Let x(a) = a + 1. Let o(c) = i*d(c) - 3*x(c). What is o(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -99, -5, 2141, 3.\nAnswer: -99, -5, 3, 5, 2141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3246 = -2*s + 3590. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -6411\nAnswer: -25644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 + 527*n**3 - 528*n**3 - 14*n**2 + 5*n**2.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*c + 5*f - 28 = 285*c + 4*f, -2*c - 4*f = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 9 = 2*o + o, -4*o - 5*j - 23 = 0. Let l(r) = -2*r**2 + r. Let k(u) = -u**3 + 3*u**2 - u. Let m(a) = o*k(a) - 3*l(a). Let b be m(1). Is 4\/5 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, l: 2}. Give prob of picking 2 l and 2 s.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.55863 take away 783534?\nAnswer: -783521.44137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -11939.\nAnswer: -11944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + (5 - -4) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 9 + 13. Let u be (16 + 0)\/(3 + r - 2). Calculate the greatest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 4:00 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 15. Let d = -2899 - -2914. Solve -c*s = -9*s + d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1\/2, -23914, 2\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 39411, 78859, 118407, 158103, 197995, 238131, 278559?\n\"Answer: 8*w**3 + 2*w**2 + 39386*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - 1343276?\nAnswer: -1343258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 3*r**2 - r**2)*(-1 + 4 - 1) - 10*r**2 - 7*r**2 + 18*r**2 + 20*r**2 - 8*r**2 + 11*r**2.\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -165*m**3 - 178*m**2 + 317*m + 77. Let r(k) = -55*k**3 - 59*k**2 + 106*k + 26. Let u(v) = 6*h(v) - 17*r(v). Factor u(g).\nAnswer: -5*(g - 1)*(g + 2)*(11*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/1*(-19 - 1377\/(-85) - (1 - 2)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -467675\/176 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5*p**2 + 4)*(9*p + 6 - 2*p**2 + 3 - 8) to the form y*p**4 + f*p**2 + h*p + r + t*p**3 and give t.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3*v + 3, 2*x + 0*v = 3*v + 1. Suppose 18 = 3*m - x*g, 14*m - 10*m + 2*g - 38 = 0. Solve -m = 2*n, -l + 4 = -0*n - n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-1) - -1)*33. Suppose -q + 25 = 5*t. What is the units digit of (-264)\/t*(11 + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17*1.102\nAnswer: 18.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (7*(-8)\/(-28) - -6). What is the closest to -0.1 in -0.3, b, -0.069?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 111?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -11*y**2 + 14*y + 15. Let z be 192\/60 - 4 - (-2)\/(-10). Calculate c(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 6*g - 1. Let o be z(-7). Let q(i) = 5*i**2 - 9*i + 6. Let w(k) = -k**2 + 2*k - 1. Let b(p) = -4*q(p) - 22*w(p). Is b(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1791.835 and -45489315.\nAnswer: -45487523.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 98 (c) -11.7 (d) 10 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nawwwnwnennennnnn. Give prob of sequence awe.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84556 and 9.\nAnswer: 761004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 4*s - 13 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2\/5 + 104*m + 6760 = 0.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -24571.37\nAnswer: -221142.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24.63 and -301.77.\nAnswer: -7432.5951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -144, 5, 2, -11, 230 in descending order.\nAnswer: 230, 5, 2, -11, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 3*x**2 - 23*x - 133. Let v be j(8). Let a(b) be the second derivative of 0 + 7\/20*b**5 + 0*b**2 + 31*b - 1\/12*b**4 + 1\/6*b**v. What is a(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/3)\/y)**50)**(-1\/7) assuming y is positive.\nAnswer: y**(50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -41. Round q to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.37, -0.4, 7\/3, -0.1 in ascending order.\nAnswer: -0.4, -0.37, -0.1, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((2 - 3) + -2)*-1)\/1. What is the tens digit of 4\/u*3 - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -243595660*m**6 + 10126*m**2 - 8*m - 220.\nAnswer: -29231479200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -251 in 1, -2, -2\/19, 128, -487?\nAnswer: -487","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32 + 15a4942?\nAnswer: 15a4910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 561?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 40 = 4*b. What is the tens digit of b\/(-55) - (-322)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/4))**(18\/11)\/(c**(-1))**(1\/6))**11 assuming c is positive.\nAnswer: c**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -113, -167, -217, -263?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 310. What are the prime factors of h - (-4)\/(24\/30)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -605, -1225, -1859, -2513, -3193?\n\"Answer: -c**3 - c**2 - 610*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2698952479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 180*a**2*y**3 - 2*a**2*y + a*y**5 - 44*y wrt y.\nAnswer: 1080*a**2*y + 20*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19934 days in microseconds?\nAnswer: 17222976000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q - 23. Calculate the remainder when ((-4)\/(6 + -10))\/(1\/23) is divided by z(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1699302 and 264?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0 = -10. Suppose -6 = -a*s - 0. Solve 3*p - s = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p + 20, 2*m - p - 705 = 0. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 640 + 5*z - 3*z - 12*z - 643. What is c(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.08 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19919662 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213191?\nAnswer: 11, 19381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -13, -1\/3, 1.8, -0.2, -5 in ascending order.\nAnswer: -13, -5, -4, -1\/3, -0.2, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1 - (0 + -3)) + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(11 + 24\/(-6)). Suppose 0 = q*a - 45 + 668. Let t = a - -131. What is the greatest common divisor of 28 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113691867 to the nearest integer?\nAnswer: 10663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 7)*(12*k**4 - 29*k**4 + 7*k**4).\nAnswer: 20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -12*h - 50. Let z be u(-5). Suppose 3*i + 5*y = 7, -4*i + 4*y + 32 - 12 = 0. Solve -o = -2*s + z, -s + 3*s - i = -2*o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216514551.\nAnswer: 3, 11, 29, 233, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0, 3, -0.11, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = a + 11. Sort 0, -3, a in decreasing order.\nAnswer: 0, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 3*d - d + (4*d - 2*d - 3*d)*(-2 - 1 + 5) - 40*d + 989 - 989 + (-d + 1 - 1)*(-9 + 7 + 21))*(-1 - 4 + 3).\nAnswer: 124*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -5 + (48 - 84).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 45*l - 53 = 35*l - 4*j, -276 = -30*l - 3*j for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 3*v - 5*t = -840, -1400 = -5*v + 3*t. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-3))\/(-2 + (-1)\/(-1)). Is 22 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3189151\/3 < -1063049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttpiiiiiitttp. What is prob of sequence it?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38 or 4\/45?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (255 - 128 - 199 - 2 + 4 - 3 + 0 - 1 + 2 + (1 - 4 + 4)*(-1 - 3 + 5) - 1 + 1 + 2)*(0 + 0 - 2*y**2) to s*y**2 + t + a*y and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 50186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 11:27 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 24*o - 8. Let a(s) = s**2 - 19*s - 7. Determine -5*a(r) + 4*p(r).\nAnswer: -r**2 - r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u - 28. Let b be z(-9). Solve -6*d = -b + 41 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 40508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -7 (c) -0.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -402.8 less than 0.22331?\nAnswer: 403.02331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7450.078 + -7464. Let r = -14.06178 - i. Let z = 0.14 + r. Round z to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*p - 754*p + 9173 = -448 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -281.3 + 271.3. Suppose -3*o + 9 = -3*u, -5*o - 4*u + 5 = u. Suppose -o*g + 2 = -4. Sort g, 0, n in descending order.\nAnswer: g, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 less than -0.06051?\nAnswer: 269.93949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7737.\nAnswer: 3, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rp when two letters picked without replacement from {r: 1, n: 1, t: 1, m: 1, p: 2, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-175)\/2*16\/(-20). Let r = -67 + u. Let b(x) = 6 + 3*x - 2*x + 1 - r*x. Let v(c) = 1. What is -b(j) + 5*v(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l + 12. Let f = l + -1. Which is the third smallest value? (a) f (b) 4 (c) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 426493?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1082858270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**2 - 490*r - 5995 = 0. What is r?\nAnswer: -11, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzy when three letters picked without replacement from xwznyznnn?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15103447.\nAnswer: 15103447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22153 - 205?\nAnswer: -22402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**3 - 6*n**3 - 108*n**2 + 46*n**2 in the form d*n**2 + p*n + j*n**3 + h and give d.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + z + 6 = -0*v, -9 = 3*z. Suppose -v*x + 4*x - 6 = 0. Factor 288 - 2*p**3 - 288 - p + x*p**2 - 3*p.\nAnswer: -2*p*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4958\/296 - (-6 - -23).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + k**2 + 2*k**2 - 4*k**2 + 6*k**2 + k**2 + (0*k**2 - 2*k**2 + 3*k**2)*(2 - 5 + 2).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, 42, 282, 642, 1110, 1674, 2322, 3042?\nAnswer: 3822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 74.3?\nAnswer: 445.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201110 (base 3) to base 4.\nAnswer: -20031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -49, 4 in descending order.\nAnswer: 4, -6, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**4 - 260*u**3 - 670*u**2 + 3260*u + 3675 = 0.\nAnswer: -49, -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17486 - -17493. Solve -2*j + y*m - 2*m - 15 = 0, 0 = -j + m - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 238221270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**5\/20 + 20*z**2 - z. Let u(f) = -25*f**2 + f. Determine h(u(r)).\nAnswer: 1875*r**4 - 150*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 244363.8 rounded to the nearest 1000?\nAnswer: 244000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 3*s + 7*s + 3, -4*a + 4 = -4*s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 84\/115?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3807799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - 8*g - 8. Let o(x) = -x - 2*x + x**2 - 5755 + 5752. Calculate -8*o(l) + 3*u(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.034606 - -0.040588. What is j rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4) + -5)**2 + (2*sqrt(13))**2 + 5.\nAnswer: -10*sqrt(13) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 309*i**2 + 26083*i - 364. Give p(378).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 211505 and 455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 6 + 9. Suppose -57*r = -46*r - 132. Suppose -2*i - r - 16 = -5*q, 3*i = 3*q - 24. Solve -q = -m*y - 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3084, -6136, -9156, -12144, -15100?\n\"Answer: 16*f**2 - 3100*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**4\/12 + 2*p**3\/3 - 6*p**2. Let g = 16 + -4. What is the least common multiple of r(-3) and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -66, -187 in increasing order.\nAnswer: -187, -66, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 5 (b) -167\/5 (c) -1408 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -190 + 571\/3. Find b such that g*b**2 - 2\/3 - 1\/3*b = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-80))\/(3*(-8)\/((-24)\/(-3)))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -10, -m = -4*p + m - 2. Let b = -4 + p. Let v be (50000\/(-15))\/(b\/4680). What is v rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235012, -235014, -235016, -235018, -235020, -235022?\nAnswer: -235024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 1 + 0 + -1. Let g = i + 7. Suppose 4*n - 53 = -g*h - 0*h, -4*h + 6 = -2*n. Calculate the lowest common multiple of 6 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (5 + -5 + 2) - -8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3349.023um to centimeters.\nAnswer: 0.3349023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 36 = -11*q + 8*q, -24 = 4*t. Put -7, q, -52 in descending order.\nAnswer: q, -7, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5 + 11, w = 5*c - 962. Suppose -2*x = 2*x - c. Let o be (-1)\/(1 - 2) + 11. What is the highest common divisor of x and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1269931.\nAnswer: 5\/1269931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**8\/6720 - f**7\/504 + f**6\/720 + f**5\/60 + 13*f**4\/12 + 91*f**2. Let t(z) be the second derivative of y(z). Give t(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -10, 2\/3, -0.64, 0.01?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f = -10. Let g(o) = o + 6. Let t be g(f). Solve 2 - 18 = t*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbo when three letters picked without replacement from aqaoaqrqrb.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 21*c + 50. Let v be o(-19). Suppose -11*f = -v*f + 97. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from grqigi?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/44, -5, 1\/2, -4\/21 in increasing order.\nAnswer: -5, -4, -4\/21, -1\/44, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -5, -4\/5, 3, -14\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/22)\/q**(2\/19) assuming q is positive.\nAnswer: q**(13\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = -2. Suppose -q*d + 0*d = -84. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/70 + 34\/85. Let h = -34 + 36. Which is the third smallest value? (a) 1 (b) -2\/83 (c) h (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 83, 271, 577, 995, 1519?\n\"Answer: -f**3 + 65*f**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 1 = 4*f - 10, 5 = f. Suppose -5*n + 70 = h, -n + 14 = -0*n - u*h. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5537385399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -12 + -21 + 52?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(-10 + 9 + 27)*(3*n - 3*n - n**2).\nAnswer: -26*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from qqqqqqqqqqtottqq.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -2 - (2 + (-3 - -5))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25742010 (base 8) in base 11?\nAnswer: 3279474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -4. Let c = -0.73 + 11.03. Let w = -15.3 + c. What is the closest to g in -4, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43516974.\nAnswer: 2, 3, 17, 426637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -o - 95. What is the closest to -38\/53 in o, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.2 + -219.8. Let o = a + 224.7. Sort -1\/2, 3, o, -1\/9 in descending order.\nAnswer: 3, -1\/9, o, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.198 - -0.102. Sort 0.44, r, 0.\nAnswer: 0, r, 0.44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 - 3*c**2 - c**2)*(-3*c + 2 - 2)*(-3*c**2 - 4 + 4).\nAnswer: 9*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6558 to two dps.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**4*u**2 + 676*p**3*u**3 + 2*p**2*u**3 - p*u**3 + 119*u**3 wrt p.\nAnswer: -48*p*u**2 + 4056*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, 4, 21, 38?\n\"Answer: 17*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1782083532084186 + -2655304559641068067\/1490. Let m = n - -64990361. Let k = -4\/149 - m. Calculate the common denominator of -1\/2 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -b - 0*b. Let n(o) = -o**2 - 5*o**2 + 3*o**2 + 5 - 5*o. Let c(j) = 4*j**2 + 7*j - 7. What is b*c(l) + 7*n(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -31*k. Let g(s) = -142533*s. Determine g(m(z)).\nAnswer: 4418523*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r = 20, -4*r = -3*o + 673. List the prime factors of o.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00049853 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*t + 134*t = -16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 372.9631l?\nAnswer: 372963.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -468 minus 87655136?\nAnswer: -87655604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 477*x + 404. Is z(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 34*s**3 - 2*s**2 + 3*s + 6. Let i be t(-1). Which is greater: i or -131\/4?\nAnswer: -131\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (51 - 28 - (-15 - -20))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**3 + 41 - 27*i + 10*i + 17*i - 460 - 226*i**2 wrt i.\nAnswer: -6*i**2 - 452*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1868850.0013 - 1868948. Let u = d + 98. What is u rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aai. What is prob of picking 1 a and 2 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 221*r + 122. Suppose 0 = -5*f - 2*y + 29, 0 = -4*f + 3*f + 2*y + 1. Is p(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from {o: 10, y: 1, w: 1, x: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001710443001 to 7 dps.\nAnswer: 0.0017104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, -4\/5, 3 in descending order.\nAnswer: 6, 3, 2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times -12?\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 5, -67, -2 in descending order.\nAnswer: 5, 4, -2, -3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*j - 0. Let x = 35\/3 + -143\/12. Let d = 8.3 + -8. Sort j, x, d in decreasing order.\nAnswer: j, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13030301 (base 4) to base 7.\nAnswer: 151655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-18)\/4)\/((-9)\/24) and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**4\/8 + 2*m**2. Suppose -71*q + 14 = -64*q. Let d(s) = 7*s**q - 5*s**2 + 2*s**2. Give u(d(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 9*r - 4. Let j be v(7). Suppose -j = 5*b - 25. Factor -8*x**2 + 3 - 2*x**b + 2*x + 8*x**4 - 3.\nAnswer: 2*x*(x - 1)*(x + 1)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13110786 - 15*k**3 + 13110786.\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 33*a - 2. Let f(q) = -5*q**3 + 98*q + 6. Determine 4*f(k) + 11*s(k).\nAnswer: 2*k**3 + 29*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38618 + 77047. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 8:37 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 5. Let q be 27\/7 - (-10)\/70. What is the greatest common factor of v and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 608*w**4 + w**3 + 1084 wrt w?\nAnswer: 2432*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67302, 134580, 201820, 269004, 336114?\nAnswer: 403132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 759 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, e: 2, r: 3, f: 2}. What is prob of picking 1 f and 2 r?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 3:40 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 115, 275, 565, 1033, 1727?\nAnswer: 2695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 11:09 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - -471e0?\nAnswer: 471d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -744, -1488, -2232?\nAnswer: -2976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 11*u + 3 - 4.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -200858 (base 12) to base 9\nAnswer: -840305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3010, 3009, 3006, 3001, 2994, 2985, 2974?\n\"Answer: -p**2 + 2*p + 3009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9\/10 of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/30)\/(2\/8). Which is the third smallest value? (a) h (b) -10 (c) -1\/2 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1. Let n(q) = q + 5. Let j(z) = -n(z) - 4*o(z). Let m be -2 - -1 - -2 - -2. Let s(g) = g + 2. Determine m*s(u) + 4*j(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 14*m - 10. Let d be y(13). Let r be 28 - (d - -1)*-1. Let z = r + -22. Solve z = 3*a + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, l: 17}. Give prob of sequence llil.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 greater than or equal to 65331\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 30 = -4*x - 4, -x = -w - 8. Let t = 27 - 25. Let z be (t - 2)*3\/x. Solve 6*v - 3*v + 4*q = z, 0 = q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6446 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (121 + -2)) + 3008 + -3004\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15325345.\nAnswer: 5, 7, 437867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12210 (base 4) in base 13?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -2\/17, 1.8 in ascending order.\nAnswer: -2\/17, 1.8, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 35, -28703 = -2*j + o + 64802. List the prime factors of j.\nAnswer: 3, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3*o - 8*o + 2*o)*(-15*o - 1860 + 1860 - 2*o**3) as i*o**2 + v*o**4 + a*o + n*o**3 + m and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -12821.76401 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 279108017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3237 + 3365. Calculate the remainder when r is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44342280 is divided by 12122?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 3. Let g(c) = c**3 - 3*c**2 - c + 4. Let w be g(3). Let j be a(w). Which is greater: j or 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**36*((l*l*l\/((l**(-4\/3)*l)\/l))\/l)\/((l\/(l\/(l\/l**1*l)*l))\/l) assuming l is positive.\nAnswer: l**(229\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36751 times 0.0999?\nAnswer: 3671.4249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 17*b + 29. Let h(q) = -4*q - 7. Let m(n) = 9*h(n) + 2*z(n). Let d be m(-8). Solve -3*p + j = -d, 2*j - 4 = -3*p + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16381, 65521, 147421, 262081?\n\"Answer: 16380*s**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10111001100?\nAnswer: -10111001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5 - 26*h**4 + 92*h**3 - 24*h**2 - 144*h = 0. Calculate h.\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = -68290080 - 56250120. Round v to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/((-30)\/(-25)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 6:55 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 7:02 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 79162, 79155, 79148, 79141, 79134?\n\"Answer: -7*z + 79169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 262, 588, 1044, 1630, 2346?\nAnswer: 3192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11333439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/9 (b) 10 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (4 + (-8 - 0 - (6 - 1))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13122311 (base 5) to base 16.\nAnswer: -1faaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -500.5024 to the nearest integer.\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 40247801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18098, 2, -340.\nAnswer: -18098, -340, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3. Suppose 3*a + 8*v + 5 = 3*v, 5*a - 13 = -3*v. What is the closest to n in -3\/5, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0109678945 to 6 decimal places.\nAnswer: 0.010968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 14*d**2 - 14*d - 16. Calculate b(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -21. Let n be 254\/6 - r\/(-21). Let t = n + -8. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000533 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.57, 55, 311, -3?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + t + 4*t)*(0 + 0 + 1)*(-t - 218*t**2 - 94*t**2 + 295*t**2 - 28) to n + k*t**3 + v*t + l*t**2 and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2249*m + 13 = 2254*m - 5*s - 40 - 17, 594 = -66*s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36313 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**3*i*q**3 + 155*f**3*q**3 + 22*f*i*q**3 + 348*f*i + 18*q**3 wrt i?\nAnswer: -f**3*q**3 + 22*f*q**3 + 348*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14915926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/9 and 52\/3 - (10 + -13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from {p: 1, j: 1, c: 3, d: 2, g: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 + 0*f**4 - 3*f**4)*(-1 - 3 + f + 6 + (2 - 5 + 0)*(3*f - 3*f + f)).\nAnswer: 4*f**5 - 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*r - 36, -3*d + 226 = -r + 175. Let b = 4 - 5. Let x = b - -3. Solve -4*f + n - d = -x*n, -2*n = -f - 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158908.6+132.095436\nAnswer: -158776.504564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z = -3*y - 34, 620*z - 622*z + 10 = 0 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, f: 12}. Give prob of picking 1 f and 2 q.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeedeeeededddeddee. Give prob of sequence dedd.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-13 + (22 - 5))) + -1 + 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*i + g - 0*g, g = -4*i + 22. Let a be i - (4 - (-2 - -4)). Suppose -4*p + 0 = -12. Solve -7*s = 4*z - p*s - 4, -a*z + 7 = s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 8:23 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80912364?\nAnswer: 2, 3, 13, 59, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216845767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 4*v**2 + 2*v - 6. Let q be 18\/(-24) - (69\/(-12) - -1). Let b be i(q). Let r = -2 - -4. Solve -b*w + r + 0 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(((p*p**(-2\/7)*p)\/p)\/p))\/p)**(-49)*p**(-1\/2)*(p\/(p\/p**(-4)))\/p)\/((p**(-1)\/p**(-1\/4))\/(p**(1\/2)*p**(-4))) assuming p is positive.\nAnswer: p**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -3*k**2\/2 + 2724. Let q(b) be the third derivative of -b**5\/5 + b**2. Calculate w(q(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.9 - 19.9. Let m = 15 + x. Sort m, 3, -0.2 in increasing order.\nAnswer: m, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/2204 and -99\/190.\nAnswer: 11020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1812 - -1812. Let l(f) = -4*f + 6. Calculate l(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:41 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 5, -3\/26, 3\/5, 2\/111?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/u**(-10)*u))*u*(u*u**7*u)\/u*u)**(-9\/4))**(-3) assuming u is positive.\nAnswer: u**(297\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 180 - 310. Suppose -9*q = -2*q - p. What is the least common multiple of (91\/(-28))\/(2\/(-32)) and q?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2129118 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 12, n: 1}. What is prob of sequence na?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -12, -0.06?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwpp when four letters picked without replacement from pppwwpppwpppwpwppwp.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/6120 and -83\/4896?\nAnswer: 24480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/15)\/2*3. Let m = -0.296 + -0.004. Let j = -36 - -107\/3. What is the nearest to h in 2, j, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 22 + 18 = 0. Let x = -1 - -4. Let v(p) = 5*p**2 + p - 7*p + 0*p - p**x + 5. Give v(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 18. Let q be (r\/18)\/((-1)\/4226). Suppose 5*i - q = 637. What is i rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.052 - -0.148. What is the closest to 2 in x, -0.1, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45004 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/6*(-6)\/4. Let s be 5\/(-7) + 4\/(-14). Let f = -3 + s. Put f, -2, v in ascending order.\nAnswer: f, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -439861920652 - -2\nAnswer: -439861920650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 f, and 1 d when four letters picked without replacement from {x: 1, d: 3, w: 1, p: 1, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 60. Let s = v - 16. Which is the closest to -2\/7? (a) s (b) -1\/3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17216521313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 3 + 3)*(2 - 1 - 2)*(1 - 2 + 0).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 z when four letters picked without replacement from tmmzzmhwzmzzmzm?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -16 + 1. Let g = d - -6. What is the nearest to 0 in 4, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 - 3\/(9\/24 - 198\/1680). Factor 1\/3*b + 2 - h*b**2.\nAnswer: -(b - 3)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9956, -10013, -10072, -10133, -10196, -10261, -10328?\n\"Answer: -g**2 - 54*g - 9901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112032220331 - 301?\nAnswer: -112032221232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 140\/3. Let j(x) = -7*x**3 + 2*x**2 + 7*x - 7. Let s be j(1). What is the closest to s in 2\/3, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 923 + -568. List the prime factors of g.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2710 - 2552. What are the prime factors of w?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44.7 smaller than -1099\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 49, 9, 3, -35?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/7 + 1020\/1932. Let w = 64\/115 - c. Find g, given that -3\/5 + 1\/5*g + w*g**2 - 1\/5*g**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 2, 41, 173817, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, i: 3, z: 1, j: 1}. Give prob of sequence eji.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1440 = 4*r, -3*r = -8*r - 3*t - 1800. What is the least common multiple of (r\/(-540))\/((-2)\/(-36) + 0) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.03, 0.3, -2.3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1592, 1610, 1648, 1712, 1808?\n\"Answer: v**3 + 4*v**2 - v + 1588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -454.86 + -7.14. Which is smaller: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 9*u**2 + 12*u + 10. Let k(q) = -q + 1. Let t(i) = 2*k(i) - o(i). Is t(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/9 - 146*u**2\/9 - 2558*u\/9 + 902\/3.\nAnswer: -2*(u - 1)*(u + 33)*(u + 41)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*h = 89973, -378*c + 375*c - 3*h = -90045. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 196*k + 0 + 1\/6*k**4 + 67\/6*k**3 + 0*k**2 + 69\/10*k**5. Find the third derivative of i(v) wrt v.\nAnswer: 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 0*l + 0*l)*(-l**2 + 3*l**2 + 0*l**2) + (3*l - 2*l + 0*l)*(0*l**2 + l**3 + 0*l**2) + 3*l**4 - 4*l**4 + 2*l**4.\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 3 + (-3 - -323) - (-4 + 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-46)\/69)\/(848\/18) and 29\/38?\nAnswer: 4028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = v - 1218, -764 = -2*o - 3*v - 150. What is the highest common factor of o and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 15, y: 4}. Give prob of picking 4 y.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77 + 65 + 314*l**2 - 4*l + 264*l**2 - 191 wrt l?\nAnswer: 1156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-25))\/((-154)\/1320). What is the second biggest value in 3\/11, l, 2\/11, -0.4?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410877 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + (1 - -8 - ((-12 - -23 - 0) + 2)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*n**2*z**3 + 311*n**2 + 5*n*z**3 + 10*n*z - z**3 - 51 wrt n?\nAnswer: 122*z**3 + 622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1145*k - 1144*k - 1741*k**2 + 402*k**2 in the form q*k**2 + a*k + c and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1)*46\/276\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1092 and 2436?\nAnswer: 31668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**4\/6 - h**3\/3 + h**2\/2 + h. Let q be v(-2). Is q > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9270768 - -9?\nAnswer: -927075a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1046, 1035, 1024, 1013?\n\"Answer: -11*n + 1057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/21675 and -92\/14025.\nAnswer: 238425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 22*r**2. Let k(n) = 13*n**2. Give k(g(o)).\nAnswer: 6292*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w + 498*w + 2834 = -990 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 2:00 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 630649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3272 = -2*t, 0 = t - 4*t + 3. List the prime factors of a.\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/3)*k**(4\/7)*k)\/(k**(-1\/2))**(-2\/23) assuming k is positive.\nAnswer: k**(416\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14757 and 5.\nAnswer: -73785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 207432*h - 1244628.\nAnswer: (h - 207438)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 7*j - 6 = -4*f, -5*j - 3*f = -37 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174403\/18686 - 1\/56058. Solve 0 - 22*z**3 + p*z**5 + 8\/3*z - 22\/3*z**4 - 8\/3*z**2 = 0 for z.\nAnswer: -1, -1\/2, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a century in years?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 10*z - 2*d - 8 = 0, -30*z + 25*z + 3*d - 7*d = -132 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -4358?\nAnswer: 435c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 11870.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k - 3*y + 36, 3*y = -3. Let d = 72 + k. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 433, -3, -738 in ascending order.\nAnswer: -738, -3, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13453 - -13459. Let b(w) be the third derivative of 0 + 0*w + 0*w**5 - 7\/60*w**g + 0*w**4 + 14*w**2 + 19\/6*w**3. Differentiate b(o) wrt o.\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -141*r**2 + 2253*r + 48.\nAnswer: -3*(r - 16)*(47*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 120ca + -5?\nAnswer: 120c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 605 a factor of 14060526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8041.14 - 8041. What is the third biggest value in -4\/7, 20, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 94526715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*p + 4*p**2 - 4*p**2 + 0*p**2 + p**2 in the form v*p**2 + a + w*p and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 0*n - 1\/60*n**5 - 19\/24*n**4 + 0 + 8*n**2 + 4*n**3. Let b be x(-20). Solve u - b*w = 0, -w + 4*w = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -2.1. Let r = 0.2 - -0.8. Let k = 2 - 1. What is the nearest to k in r, c, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154649039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlttl. What is prob of picking 3 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 4415 + 4414 - 20*o**2 - 28*o**2 + 47*o**2 + o. Let n(k) = 3*k**3 + 4*k**2 + 5*k + 4. What is -4*j(g) - n(g)?\nAnswer: g**3 - 9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-9) - 128\/(-24). Let i(q) = 6*q + 1. What is the remainder when 123 is divided by i(r)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 20*w = -4*v + 14, -2*v - 5*w + 37 = 0. Solve 0 = -v*a + a - 3*n - 22, 0 = -2*a + 3*n + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1496798, -2993584, -4490356, -5987108, -7483834?\nAnswer: -8980528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ca + 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -453 - -476. Find the second derivative of -41*q**2 + 118*q**2 + 96*q**2 + 35*q + t*q**2 wrt q.\nAnswer: 392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2508 is divided by 2204.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, k: 8}. Give prob of picking 4 k.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7802 - -7800. Let l = -0.189 - 0.011. Let m = 0.36 + -0.14. Which is the nearest to m? (a) l (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000475 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 3*c**2 - 5*c**2)*(-2 + 6 - 2)*(-3 - 1 + 0).\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 2. Let f be t(6). Suppose -16 = x - 5*v, -5*v = -3*v - f. Let q(s) = 0 - x + s - s**2 + 16. What is q(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 13*w - 52. Let s be g(12). Suppose -d = 4 - s. Does 22 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**3 - 6*i**2 + 6*i - 7. Let u(j) be the second derivative of -7*j**5\/10 + 17*j**4\/12 - 17*j**3\/6 + 21*j**2\/2 + j - 170. Give 17*o(m) + 6*u(m).\nAnswer: m**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 12 = 0, -3*d + 60 = -5*d - 4*y. Suppose -3*a = n + 2*n - 78, 4*n = -3*a + 79. Calculate the remainder when a is divided by (-460)\/d + 2\/9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 118174700 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 8. Let c(f) = -f**2 - 8*f - 7. Let z be c(-8). Let r(i) = -4*i + 15. Let h(d) = z*l(d) + 4*r(d). Calculate h(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -22*j + 18. Let h(w) = 1112*w - 2 - 1107*w - 2. Let k(s) = -9*h(s) - 2*r(s). Let m(v) = -2*v**2 + 3*v**2 - 3*v**2. Calculate m(k(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - i = w + 1, 3*w - 2 = 2*i. Suppose -v - 577 = -4*k, 4*k + w*v - 4*v = 592. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 61 = -0*x - 5*x, x = -5. Calculate the remainder when 21 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -8, 261*d + m + 14 = 259*d + 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 101*j - 637. Let x be w(-6). Solve 3*n = 3*c - 0*c - 6, 3*c + 34 = -x*n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**5\/90 + 3*h**4\/4 + 418*h**3\/9 - 260*h**2 + 12*h. Factor l(a).\nAnswer: -2*(a - 38)*(a + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2278 and -445.74966086?\nAnswer: 2723.74966086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2)\/(6\/56). Let q(b) = b + 1. Let o be q(-5). Let v(n) = -n**3 - 4*n**2 - 5*n - 6. Let w be v(o). Calculate the highest common divisor of w and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z + 5, -z - 9 = -4*r. Let l be ((-2)\/6)\/((-3)\/18). Let o(j) = 3*j**2 - 2*j**2 - 6*j**l + 3*j**r. Let k(h) = -3*h. Determine k(o(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 297400 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*z = -11*t + 4, -2*z = -5*t + 8. Which is the nearest to 1? (a) 5\/9 (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - s**2 - 6*s - 10. Let b be t(-4). Let i = b - -68. Sort 4, -6, i, -3.\nAnswer: -6, -3, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552\/(-93) - (-4 + (-8 - -6))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1378391, -2756778, -4135155, -5513516, -6891855, -8270166, -9648443?\n\"Answer: l**3 - l**2 - 1378391*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 + 57. Let s = 0.2 + 0.3. What is the nearest to -0.2 in b, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**3\/3 + 662*s**2\/3 - 2356*s\/3 + 1690\/3 = 0.\nAnswer: -169, 1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/6))**49\/(y**(1\/7))**27 assuming y is positive.\nAnswer: y**(2239\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 0.0084?\nAnswer: -0.0504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1237*j + 5*f + 33 = -1240*j, -3*j - 2*j - 22*f - 178 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5047, 5033, 5045, 5113, 5267, 5537, 5953, 6545?\nAnswer: 7343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 258, 551, 956, 1473?\nAnswer: 2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(22)\/sqrt(2))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3))**(-1\/19)\/(r*r**1*r)**(10\/11))\/((r*r**1*((r*r**(-4)\/r)\/r)\/r)\/((r*r*r**(-1\/3))\/r*r**5*r)) assuming r is positive.\nAnswer: r**(4967\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/27*3\/(-7)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + i**2 + 0*i**2 + 2*i**2)*(5*i**2 + 35*i**2 + 12*i**2) to the form g*i**4 + u*i**2 + m*i + w*i**3 + y and give w.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29367.65 millilitres in litres?\nAnswer: 29.36765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4504 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2389 is divided by 430?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.4 - 96.6. Let t = -0.92730475 - -99.92721075. Let a = s + t. Round a to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/72*1*-273739. Suppose 9*u - 5*u = -60852. Let n = u + s. Find the common denominator of n and 71\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19028744731.00000039 + 19028744626. Let k = 105 + -210. Let h = i - k. What is h rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-24)*(-2202)\/126615?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*y + 45*y + 12707 = 174*y + 27600 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 10 = 90. Let b be ((-3)\/2)\/(9\/(-204)). Let v = b - g. What is the least common multiple of v and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 29\/10352?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -78*b + 2678. Give p(34).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78.636 - -78.696. Suppose -s - 5*g = 2*s - 28, 3*g - 11 = 4*s. Put 0.2, u, 1\/2, s in descending order.\nAnswer: s, 1\/2, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329159003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.2984168 rounded to 2 decimal places?\nAnswer: -64.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -50.295 from -1986833611.\nAnswer: -1986833560.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 339*u**2 + 885*u + 4380. Determine g(-172).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(10 + c - 8 + 7*c).\nAnswer: 24*c + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 11*s**2 - 19*s - 6. Suppose -28 - 332 = 40*k. Let b be r(k). Solve 4*q - 36 = -4*a, 4*a - 18 = -b*q + 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.122972 * -0.1.\nAnswer: -0.0122972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(88))\/sqrt(8)*1.\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -11, -2, 1.\nAnswer: -20, -11, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2106 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(-1 - (-397)\/(-13)). Let y be -4 + 134 + (-7 - -3). Let i = y + a. Sort -0.3, i, 3 in descending order.\nAnswer: 3, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57014 + 57014.73077. Let g = -17.6 - -16.87. Let b = g + j. Round b to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2596.36 and -3200?\nAnswer: -8308352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h*n**2 + 19*h*n*q*w - 2*h*q*w**3 + n**2*q*w**3 - 23*n**2*q*w**2 - 2*n*q*w + 2*w**3 wrt n.\nAnswer: 6*h + 2*q*w**3 - 46*q*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76431 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51 and 24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**7\/14 - g**6\/5 + 9*g**5\/20 + g**4 - 2*g**3 - 7*g - 10. Suppose d(r) = 0. What is r?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/4656 and 37\/120?\nAnswer: 23280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 2*f - 1. Let g(o) = o**3 - o**2 - o. Let n be 40\/(-8) + 6 - 0. What is n*g(b) - w(b)?\nAnswer: b**3 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 117*h**2 - 115*h + 2. Calculate k(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2)*-8 + -1. Let z(a) = a - 6 - x - 3*a. Is z(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*(-13)\/(-637) - (-4 + (-1425)\/21). Solve -55*l = -46*l + c for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 6*y**2 - 7*y + 7. Let u be p(7). Suppose -4*o + u = -4*b - 5, o - 11 = -b. What is the remainder when 19 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -192 (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16553376 (base 8) in base 15?\nAnswer: 512851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53\/7045 or 1?\nAnswer: 53\/7045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 27. Let q(w) = 2*w**2 - w. Let m be q(-3). Let k = 35 - m. What is the remainder when c(0) is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/73)\/t**(-29)*(t*t*t**19)\/(t*t\/(t**(9\/2)\/t)) assuming t is positive.\nAnswer: t**(7523\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2380*d - 41*d - 792*d.\nAnswer: -3213*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14, 29, 42, 53, 62?\n\"Answer: -v**2 + 18*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2850 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 3. Let r(o) = -o**3 - 1. Let w(l) = 6*l**3 + 9*l**2 - 11*l - 2. Let q(m) = 5*r(m) + w(m). Let d be q(-10). What is the units digit of n(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 4. Let i be j(2). Suppose -4*f - 22 + 134 = i. Calculate the remainder when 109 is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 253 and -5181.647?\nAnswer: 5434.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -512145430 (base 6) in base 5?\nAnswer: -4222114110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skku when four letters picked without replacement from uuusguukkkukku?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113 - -61. Let c = 46 - 49. List the prime factors of a\/(4 + -1) + c.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1009 divide 58161787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 51\/17*3*3\/9. Suppose 0*p = -4*p + 8. Which is the third biggest value? (a) -3 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + -4)\/(759\/(-1863))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/97055 and -66\/9145.\nAnswer: 3008705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 3*(-4)\/(-6). Suppose -n*k - q + 26 = q, 5*q - 19 = -k. Suppose k*d = 264 - 56. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**2 + 24*z - 3. Let a be r(-5). Suppose -3 = a*c - 31. Calculate the highest common divisor of c and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*s**5 - 229*s**2 - 4*s**3 + 45*s**5 - 1397*s**2 wrt s?\nAnswer: -1620*s**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(-860*a + 7077*a - 2677*a)*(3*a**4 - a**4 - 3*a**4).\nAnswer: 3540*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((24\/5)\/4)\/((-6)\/(-280)). What is the highest common divisor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58330 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 w be (-8 + (1 - -1))\/(-2). Let h = w + -3. Suppose h = 5*u - 25 - 10. Solve -t + u - 2 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x**2. Suppose -5*i = -g + 12, -g - 4 = 5*i + 4. Let w(h) = -1. Let z(o) = -o - 2. Let c(r) = g*w(r) - z(r). What is p(c(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from {z: 5, q: 9, a: 2, k: 3}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-24)*(-7)\/((-21)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*d + 976 = 1934 + 1708 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 29 + 77 = 2*s, 0 = v + 3. What is the remainder when s is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 1. Suppose -z = -2 + r. Does 15 divide z\/4 + (-244)\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 - 63932*o + 1532737734.\nAnswer: 2*(o - 47949)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*j = -45*j - 360. Calculate the greatest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3922 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*n = 3. Suppose x = 4*d - 6, 2*x + 13 - 1 = 3*d. Let t be (0 - 2)*x\/6. Solve 7 = -t*i - n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.69 - 0.88?\nAnswer: 40.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (6 - 8) + (37 + -46 - 8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16a474a - -11?\nAnswer: -16a4739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 5*i + 4*s - 2*s = 525, 5*s - 1050 + 968 = -i for i.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4447380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25963.4 rounded to the nearest ten?\nAnswer: -25960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 14 + 21. Suppose -4*o + 9*o = -5*v + 3275, -4*v + 2616 = i*o. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036352833 rounded to five dps?\nAnswer: -0.00364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -376 (b) -0.5 (c) 15 (d) -2 (e) -0.1 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/1 - 172\/86. Let m(z) = -5*z + 8. Give m(y).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 48 = -d, d + 174 = 3*v + 4*d. Suppose 0 = 2*f - h - 10 - 11, 3*h = 5*f - v. Let g(u) = 2*u**2 - 4. What is the remainder when g(4) is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-38)*((-49)\/7)\/((30\/(-5))\/6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4) + -4)*-2.\nAnswer: -2*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 4401?\nAnswer: -4402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 10*l**2 - l - 10. Let f be w(-10). Suppose 6*r + 2*j - 56 = r, f = -3*r + 2*j + 40. What is the remainder when 46 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*g**3 - 4*g**3 - 2*g**3 + 4 + 9*g**3 wrt g.\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 380*h**4 - 16*h**3 - 2*h + 25689?\nAnswer: 1520*h**3 - 48*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2)*f**(-3\/5))\/(f**(4\/7)\/f**(-6))*(((f*f*f**(-1))\/f*f*f)**43)**(-6\/7) assuming f is positive.\nAnswer: f**(-2726\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**5 - c**5 + 0*c**5 + (c**2 - 3*c + 3*c)*(0*c**3 - 4*c**3 + 3*c**3) + 27*c**5 - 86*c**5 - 40*c**5.\nAnswer: -101*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-254 - -199) + (2*(2 + -3) - 63\/(-7))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j\/(j\/j**9))*j*j**(-1\/7) assuming j is positive.\nAnswer: j**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8551.29 - 1165.\nAnswer: 7386.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*w + 4 + 16*w - 38)*((0 + 2 + 0)*(-w + 2*w + 0*w) - 4 + 3 + 0*w + 2*w).\nAnswer: -4*w**2 - 135*w + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*h - 5*h - 4*h + 24*h as p + s*h and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11061 + 14582. Let d = -9166 + f. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 9*q**2 - 22*q + 8. Determine x(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-14)*6)\/(39\/312*16)*42\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 1\/3*t**3 + 0*t**2 + 0*t + 3. Let r(b) be the first derivative of -b**2 - 2. Calculate r(z(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 12, 12, 24, 54, 108, 192?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 184\/439, 0, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 2 = -2*c + 4*g, 0 = -2*c + 3*g + 16. Suppose -p = c*k - 83, -20 = p - 4*k - 103. Suppose -72 = -5*m + p. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52698?\nAnswer: 2, 3, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - v - 3*v)*(-57 + 9 + 94 + (-2 + 5 - 2)*(-4 + 1 + 2)) in the form j + k*v and give k.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 17 = -2. Suppose -5*h = -3*f - f - 732, -a*h + 438 = -2*f. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/(-36) + (-1)\/4. Let p = -0.0156 - 0.4844. What is the nearest to o in -4\/5, 1, p?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04 + 0.16. Let x = -0.3 - -0.2. Put -5, r, x in decreasing order.\nAnswer: r, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 281322962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 7. Suppose -q = -i - i. Factor 1\/2*g**2 + 1\/4*g**i - 1\/4*g - 1\/2.\nAnswer: (g - 1)*(g + 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s + 0*s**2 + 0 + 1\/3*s**3. Let v(w) = 6*w. Let c(b) = 17*j(b) - 6*v(b). Let h(q) = -2*q**2. Calculate h(c(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 113*k**4\/6 - 10672*k. Let b(f) = 17*f**2. Give t(b(v)).\nAnswer: 65314*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -11*y**5\/60 + 7*y**4\/6 + 37*y**3\/6 + y**2. Let l(w) = -7*w**2 + 19*w + 25. Let d(j) = -8*l(j) + 5*z(j). What is d(11)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.753 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -134*v + 119. What is the units digit of j(-73)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 140, 285, 430?\n\"Answer: 145*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3302 (base 4) to base 16\nAnswer: f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 16*b - 4*b + 2679*b**2 - 11*b to z*b**2 + u*b + n and give z.\nAnswer: 2679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 10*f + 13. Let z(c) = -5*c + 4. Let p be z(3). Let x be y(p). Let a(q) = 90*q + 1. Let d(t) = -101*t - 1. Let r(u) = a(u) + d(u). Give r(x).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 9 + (13 - 8)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2305*-77042\nAnswer: 177581810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*s**3\/4 + 356*s**2 - 70555*s\/4 - 95481\/2.\nAnswer: -(s - 103)**2*(7*s + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -200415 (base 7) to base 6\nAnswer: -420330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2254 is divided by 66?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4*a + 8 = 0, 28*a - 8 = -y + 31*a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-4\/7)*h)*h\/(h*h\/(h**(-1\/11)\/h)*h))\/((h**(2\/3)\/h)\/h*h)**(-12\/13) assuming h is positive.\nAnswer: h**(-2830\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 64. Let v = s - 11. Suppose -3*f = -v - 7. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 7*k**3 - 9*k**3 + 10*k**3 as f + m*k**2 + u*k + g*k**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d - 2. Let o be l(2). Solve 2*v = -v + o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t + 1 - 3 + 3.\nAnswer: 14*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 385 and 3955.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-49 - 129 + 61)*(-5*u**2 + 2*u**2 + u**2 + (1 - 1 + 2*u)*(1 - 1 - u) + 3*u - u**2 - 3*u + 2 + 2 - 2 - u**2) to the form a*u**2 + f + j*u and give f.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 4)*((-i + i + i)*(-4*i**2 + i**4 + 4*i**2) - i**5 - 7*i**5 + 3*i**5).\nAnswer: 4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 - (6\/2 - 0). Let z(f) = -f + j*f - 5*f. Let c(v) = -v**2. What is z(c(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*j**2 + 0 + 39*j**2 - 1 - 17*j**2.\nAnswer: -138*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 223.2372 to one dp.\nAnswer: 223.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 5:44 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 5*o - 5. Let k(z) = -z. Let l(d) = f(d) + 5*k(d). What is the derivative of l(u) wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 y when three letters picked without replacement from {y: 1, k: 2, v: 5, p: 1, b: 3, s: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.48 - -0.4800408. Round p to 6 dps.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1360, -1359, -1358, -1357?\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3\/7 (b) 17278\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 6*a**2 - 3*a - 5. Calculate v(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -34. What is the third derivative of 1 - 4 + 3 - 18*s**2 + 3*s**z wrt s?\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**4\/4 + 2*o**3 - o**2 - 8*o + 3. Let q(i) = -2*i**3 - 4*i**2 - 6*i - 6. Let b be q(-2). What is m(b)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.192623512 to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 2\/109 (c) -1\/2 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541.75307 rounded to the nearest 10?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/(-6))\/((-2)\/(-124)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 14278 - 2*q + 19872*q**2 + 14278.\nAnswer: 19872*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157 - -502. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 3)*(1740*d + 279538 - 279538) as j*d + q and give j.\nAnswer: -1740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 27 = -q, -264042*i - 20 = -264037*i for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 2*q**2 - 3*q**2)*((-2*q + 3*q + 2*q)*(q**2 - 4*q**2 + q**2) + 3*q**3 + 18*q**3 + 0*q**3).\nAnswer: 30*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 290 + -38. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 + 5*z**2 - 5*z. Let i be a(2). Let u be (-240)\/(-39) - i\/(-39). Suppose -5*o - 111 = -u*o. What are the prime factors of o?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -14\/19 (b) -2\/9 (c) 19\/7 (d) -3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.7 + -4.7. Is -2\/7 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 + 120. Let c(u) be the first derivative of b*u**2 - 4 + 1\/3*u**3 + 0*u. What is the second derivative of c(i) wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1666, 1781, 1890, 1993, 2090, 2181, 2266?\n\"Answer: -3*i**2 + 124*i + 1545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, k: 2, m: 4, a: 1}. What is prob of picking 1 k, 1 v, 1 a, and 1 m?\nAnswer: 8\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1\/(y**(-3\/4)\/y))\/(((y*y\/(y\/y**18*y))\/y)\/(y*y**0*y*y*y)))**(-35) assuming y is positive.\nAnswer: y**(1435\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -40411.2\nAnswer: -12123.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - p - 1448 = 0, -2*p = 2*i - p - 1456. Let n = 734 - i. Solve 26*b = 28*b - n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 9:47 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 1. Suppose b*h + 169 - 504 = 0. Let z = h + -28. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 4)*(2 + 1 - 4)*(-2*q**2 - 7 + 7) to c*q + i + j*q**2 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*j + 281 + 169 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - r - 6. Suppose 0 = -4*g - 0*h - 4*h + 36, -33 = -5*g - h. Determine p(g).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*k**2 - 4*k - 164.\nAnswer: 40*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -3. Suppose -k*t + 558 = -t. Is (3\/9)\/(2\/t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6605370 and 138?\nAnswer: 6605370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(1\/(-63))\/((-19)\/57).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*b + 166*b = 656*b - 21840 for b.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49442 + -12389. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**5)**(-30))**22)**4 assuming l is positive.\nAnswer: l**(-13200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 1 - (-2 + -2). Suppose 0 = 7*l - y*l. Let r = -1\/152 + -189\/152. Which is the closest to 0? (a) l (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9591560 - -9?\nAnswer: -9591551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3012 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z + 20 = 0. Let k be (4 - (4 + 0)) + 5 - 4. Let f(d) = 101*d**2 + d - 2. Let i be f(k). What is the greatest common factor of z and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by (-2)\/(-8) + 21\/(-4) + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 + 12*p**2 - 13*p - 4. Let f(q) = q**3 + 6*q**2 - 6*q - 2. What is 13*f(i) - 6*l(i)?\nAnswer: i**3 + 6*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 14.6. Let r = 8 - v. Let g = 0.9 - 1. What is the smallest value in g, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 4971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/4 and -47\/79088.\nAnswer: 79088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12969119?\nAnswer: 29, 447211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 157 + -78. Suppose -16*v = -l - 33. Solve -5*c - v = 2*a - 34, 1 = c - 4*a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 5*l - o + 38, -5*o - 8 = -l. Let i(t) = -32*t - 4. Let p(c) = -1. Determine l*p(v) - i(v).\nAnswer: 32*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 + 3*d**2 + 3*d\/2 - 5.\nAnswer: (d - 1)*(d + 2)*(d + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2406 + 2406 - 62004*i**3.\nAnswer: -62004*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*r = -r + 182, -2*d - 5*r = 82. Let l = d - -84. What are the prime factors of l?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393186313 + 393186313 - 214*s.\nAnswer: -214*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-2))\/(-1))\/((-26)\/(-26))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -5*z - 4*j, -3876236*z - 93 = -3876237*z + 28*j for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121240 (base 7) to base 3.\nAnswer: 111002001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or -8419?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224)\/(-273) - 2\/13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/7 + 726252*l**4\/7 + 21059788*l**3\/7 + 58821872*l**2\/7 + 57369378*l\/7 + 2697292 = 0. What is l?\nAnswer: -363097, -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -3*g + 9*g + 23526 - 11758 - 11764, 2*g + 0 - 4 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6007*m**2 - 6880*m?\nAnswer: 12014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10306459?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 2. Let u be k(4). Let d be 0\/(u + 1\/1). Suppose -3*o + 6 + 9 = d. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/7 + (-572)\/(-91). Let r be 3\/y*-4 + 7. Calculate the highest common divisor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/45)\/(90\/(-135)). What is the nearest to y in 0.2, -3, 0.5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t**3 - 1111*t**2 + 10*t**3 + 1111*t**2 - 43*t**3.\nAnswer: -17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19)\/(-6) - 2*(-2)\/(-24). Suppose j = -1 + i. Solve -w + 2 = -j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 12*k**2 - 26*k + 13. Let l be g(-9). Calculate the greatest common factor of 16 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4811, -9339, -16895, -27485, -41115, -57791, -77519?\nAnswer: -100305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 11885183.\nAnswer: -11885183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z - 3. Let r(g) = -7 - 170*g + 167*g + 5. Give -7*r(o) + 4*x(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/18 and -119\/121704.\nAnswer: 365112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/70)\/((-30)\/75).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0)*3*1. Let j(r) = r**2 - 3*r - 7. Let i be j(5). Solve 0 = -m*d + i - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (210 - 60) + -60 - -7.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 6:41 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271071974, -542143948, -813215922, -1084287896, -1355359870?\nAnswer: -1626431844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 0.1, -5, 23.8, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14571 + 14571.2. Let m = -0.3 - -0.1. Sort w, -3\/4, m, 0.15 in ascending order.\nAnswer: -3\/4, m, 0.15, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103 + 110. Let x(k) = k**2 - 6*k - 5. Give x(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-459 + 459 - 127*w)*(-95 + 185 - 93).\nAnswer: 381*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-25) - 31\/(-15) - 3\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 775220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 645d4 (base 15) to base 13.\nAnswer: b2009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 y, and 1 s when four letters picked without replacement from {i: 2, s: 1, y: 2, r: 1, g: 5, f: 2}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(700))*-3 + 3)**2 + -1.\nAnswer: -900*sqrt(7) + 6524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-42)*(-8)\/(-2)*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -62013 to the nearest one hundred.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x + 3*y = 51, 4*y = -4*x + 92. Calculate the greatest common divisor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 515.321 and -0.02387.\nAnswer: 515.29713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from tvttttvvvt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -8 + (5 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h - 276542 - 200928 = 0. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-977*k - 872*k + 1254*k)*(-4 + 4 - 1) + 3*k - k + 0*k.\nAnswer: 597*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**3 + 8*c**2 + 54*c - 8. Let d(f) = 2*f**3 + 3*f**2 + 18*f - 3. Calculate -8*d(a) + 3*o(a).\nAnswer: -a**3 + 18*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. Suppose 5*m = -4*b + 10, -6*m + 3*b + 33 = -3*m. Find the third derivative of -u**6 - 2*u**6 + u**m + 2*u**f wrt u.\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*w + 153*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 78*r**2 - 154*r + 146. What is d(76)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8943 - 327*g**2 + 686*g**2 - 1583 - 6*g - g wrt g?\nAnswer: 718*g - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25709280349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-2 - 0) + (-50 - -55).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.882923862 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**4 + 13330*k**3 - 22191108*k**2 - 66666664*k - 44462224 = 0.\nAnswer: -2, -1, 3334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -131458.68 + 2?\nAnswer: -131456.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 952.7 and 2.5.\nAnswer: 2381.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*m - 4 = 0, 9*n + 10 = 12*n - 4*m. Let o = 0.41 - 0.01. What is the nearest to -1 in o, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g*g**(2\/11)*g)\/g)\/g)\/g)\/((g\/g**(1\/4))\/g))\/((g\/(g*g**(-1\/2)\/g))\/(g\/(g\/g**(-2))*g))*((g**1\/g)**(-27))**(-13\/3) assuming g is positive.\nAnswer: g**(-135\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3280 - 2231. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3359 + 169 + 181*y**3 - 10*y**3 + 5124*y - 3778*y**2 - 2*y**4.\nAnswer: -(y - 42)**2*(y - 2)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000050336535 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11929702?\nAnswer: 2, 367, 16253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(3\/2) - 0. Let v = -0.08 + -0.02. Which is smaller: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*y - 367 - 1943 - 149 = -59 for y.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 2430*h + 2425*h - 3*h**2.\nAnswer: -4*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 3. Let r be v(-3). Suppose 3*f = -3*c + 78, r*c + 42 = 2*c - 3*f. Suppose -2*z - 4 + c = 0. Calculate the remainder when z is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12730 - -12720.39. Is 1 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 6*z + 6. Let y be i(6). Calculate the remainder when 10 is divided by 3\/2*16\/y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14.97*-33\nAnswer: -494.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/2)\/(6\/8). Let q = 5 - m. Suppose -3*z + w + 32 = 0, -w + 13 = 3*z - 15. Calculate the lowest common multiple of z and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and 240?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13329.\nAnswer: 3, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*v**5\/13 + 11372*v**4\/13 - 2287754*v**3\/13 - 8909172*v**2\/13 + 51672384*v\/13 - 13982976\/13 = 0. Calculate v.\nAnswer: -7, 2\/7, 3, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73848841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from {l: 10, d: 1, k: 4, c: 4}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3877214 is divided by 423?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 25, 0 = p - 5*p + i + 47. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a. Let n(q) be the first derivative of q**2 + 6*q - 19. Give h(n(w)).\nAnswer: 2*w + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-14)\/(-70)*-5 - ((-7975)\/(-885) + 0).\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 1\/40*o**6 + 9*o**2 + 0 + 1\/6*o**3 - 1\/24*o**4 - 1\/60*o**5 + 0*o. Let c(i) = -i**2 - i + 1. Calculate -c(l) + u(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(3\/(-33) + 0). Let t be ((-6)\/36 - 82\/(-24)) + -3. Which is the biggest value? (a) 0.4 (b) t (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a + 7*a)*(-29 + 195 + 15 - 83).\nAnswer: 686*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v - 2. Let z = -1 + 3. Let w(x) = 19*x + 79. Let t be w(-4). Let p(m) = -z*m - 11*m + 3*m - 2 - t. Calculate -5*i(j) + 2*p(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooyomylylo. Give prob of picking 1 o, 2 l, and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 4*s + 0*s**2 - 3*s)*(-251 + s + 118 + 87).\nAnswer: s**3 - 45*s**2 - 46*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*d - 7 = 3, 0 = 4*c - d - 4. Let s(f) = 14*f**c + 28*f**2 - f + 70*f**2 - 19*f**2. Let m(y) = y. Calculate s(m(x)).\nAnswer: 93*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 10773?\nAnswer: 1\/10773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 1. Suppose 3*z + 63 - 156 = 0. What is the remainder when z is divided by j(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 772*i**2 + 275*i**2 - 1069*i**2 + 5 - 880*i**2.\nAnswer: -2446*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4483 and -1.\nAnswer: -1.4483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313114 a multiple of 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((59\/59)\/(-1*(-1)\/(-1)))\/((-5)\/(-280))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 128\/20 + (-4)\/10. Let t(w) = -2 - w**3 + 2*w**2 + 6*w**2 + 2*w**2 - s*w**2. What is t(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/151708785?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 8. Let i = 7 - 4. Let q(z) = z**3 - 4*z**2 + 3. Let g be q(i). Let k be d(g). Solve m = k - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 116*g**4\/7 - 5428*g**3\/7 - 1128*g**2\/7 = 0.\nAnswer: -6\/29, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -399*x + 46461.\nAnswer: -399","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2489 = -5*m, -3*m - 2*m + 2493 = -z. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -471*c - 275. What is the hundreds digit of s(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584)*-2 + 1.\nAnswer: -24*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000796 rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13093 divided by -4\nAnswer: -13093\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -64877 divided by -4\nAnswer: 64877\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 220125 to the power of 1\/2, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 810 and 8703030.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2. Let l(w) be the first derivative of -3*w**2 - 3. Let j(z) = -2*z + 2 - 2. Let f(t) = -8*j(t) + 3*l(t). What is f(y(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: a323c (base 14) to base 7\nAnswer: 3224205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(5\/(-10))\/((-1)\/14). Solve 4*l + 6 = 2*n, -l = 4*n + n + t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*a - 14*a + 118 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 11 + 2. Let l = a - -6. Find r, given that -r - 1 - l*r**2 + 5*r**2 + 0*r = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b - 71*b + 19*b + 18*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 4*x + 0*x)*(13 - 23 - 22).\nAnswer: 64*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 12. Suppose -5*q + 20 = n, q + 12 = 4*p - 4*q. Let b = p + -6. Solve -b*g + 4*m = -4*g + 6, -3*g = -3*m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(70\/(-7))\/(-40). Solve f = -5*l - 109 + 79 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*y - y + 3*y)*(-7 + 130 - 1) to k*y + q and give k.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -28, -37, -42, -43, -40, -33?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 133\/(-3496)*(-18)\/63*(-4)\/8*-16\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(2\/(-1) - -3). Let u(j) = -6*j + 7. Let c be u(a). Let x = -21 + c. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11593\/7 + -1653. Which is greater: z or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -2.5. Let n = 22361 - 22356. Which is the nearest to 1? (a) m (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-5)*(-1393)\/28*190?\nAnswer: 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ceme when four letters picked without replacement from {e: 2, c: 1, m: 1, s: 2}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34465543 + 13230976.\nAnswer: 47696519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2651615999 - -0.58.\nAnswer: -2651615998.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 184*q**2 + 16*q - 1824. Determine h(184).\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.8, -0.4, 223, 1\/3, -1\/8, 3\/37?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 15d664?\nAnswer: -15d665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a + 459. Let t(r) = -4*r + 915. What is 11*i(g) - 6*t(g)?\nAnswer: 2*g - 441","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 - 4*g + 1. Suppose -33 = -14*c - 89. Calculate p(c).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159284, 318570, 477868, 637178, 796500?\nAnswer: 955834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -408 - -406. What is the least common multiple of -1 - 1 - (-7 - 1) and ((-156)\/18 + -4)\/(x\/3)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - -73. List the prime factors of l.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666316687?\nAnswer: 347, 1920221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*k + 261*k - 414 = 0. Let m = -19 + 28. Calculate the greatest common divisor of k and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 490833, 981656, 1472479, 1963302, 2454125?\nAnswer: 2944948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127091\/4326 or -29?\nAnswer: -127091\/4326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*i - 136*i + 7344 = -131*i for i.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4*j + 35 = 0, -2*c = 85*j - 84*j - 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 374 + -246. Suppose 186 + r = 2*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5}. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -649.7 - -650. Sort -2, -58, -0.4, f in decreasing order.\nAnswer: f, -0.4, -2, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110121 divided by 141.\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 13*r**3 - 11 - 3*r - 295573*r**2 + 295575*r**2 + r as i*r + n*r**3 + m + l*r**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -102?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65496, 65498, 65500, 65502, 65504, 65506?\nAnswer: 65508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 107.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122 - -121. Let b(v) = v**3 + 6*v**2 + 6*v + 3. Let j = -11 + 6. Let a be b(j). Which is smaller: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 2)*(0*p + 2*p - p) - 16 + 16 - 13*p)*(-2*p - 2 + 2).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104*i**3*p**2 - 3*i**3*p + i**3 + 13*i**2 - 4*i*p**2 - 6*i + 7*p**2 + 4 wrt i.\nAnswer: 624*i*p**2 - 18*i*p + 6*i + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16769.13 + 16769. Which is the biggest value? (a) -1 (b) -0.061 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 - 453767184*d\/5 - 51476164318822464\/5.\nAnswer: -(d + 226883592)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185331, 185327, 185323?\nAnswer: 185319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.27 + 4.19. Put -1, 0, 2\/9, r in descending order.\nAnswer: 2\/9, 0, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*s + 5 = -7*s, 2*k - s = 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9523145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) - (-2)\/6. Let a(s) = -s**3 - s + 6. Calculate the lowest common multiple of a(t) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73554 (base 8) in base 10?\nAnswer: -30572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*m**3*r*x**3 - m**3*x**3 + m**3*x - m**2*r + 172*m*r*x - 2*r*x**3 wrt m.\nAnswer: 42*r*x**3 - 6*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 2\/45, 355, -2?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 503757352?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 2. Let h(z) = -z. Let m(d) = 4*h(d) + i(d). Let l(k) = -k - 1. Let u = -4 - -5. Give u*l(g) - m(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.5 - 289.54?\nAnswer: -349.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-36) + (-23)\/6. Let x(b) = -4*b**3 - 8*b**2 - 6*b - 10. What is the units digit of x(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256442.\nAnswer: 2, 128221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/6168 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/121 and 29\/2442.\nAnswer: 26862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5288, -21135, -47546, -84521, -132060, -190163, -258830?\n\"Answer: -5282*r**2 - r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**41\/(l**(-3)\/((l\/((((l\/l**(-11\/3))\/l)\/l)\/l))\/l)))**(14\/3) assuming l is positive.\nAnswer: l**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 2:17 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2321301223 - 10?\nAnswer: -2321301233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*(5*sqrt(850) + -5*(sqrt(34) - 1*sqrt(34)))\/(sqrt(10)\/(sqrt(5) - (sqrt(5) + sqrt(15)\/sqrt(3)))*-4).\nAnswer: -75*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*sqrt(396)*-6)**2*-5*6.\nAnswer: -1710720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9140.5 - 9141. Suppose 2*q + 1 = -u, 0 = 3*q + 3 + 6. Which is the second biggest value? (a) z (b) 0.4 (c) u (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2371\/12 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + s + 13 = 3*s, 18 = 2*k + 4*s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1040 is divided by 106.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21895 - -21882. What is the smallest value in 2\/181, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 2)*(6*h**5 - h**5 - 3*h**5) + (-204*h + 10*h**2 + 204*h)*(45*h - 3*h**3 - h - h**2 + 2*h**3).\nAnswer: -18*h**5 - 10*h**4 + 440*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from {j: 6, e: 12}?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqpxq. Give prob of picking 1 q and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 585, 2358, 5353, 9600, 15129, 21970, 30153, 39708?\nAnswer: 50665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33990*c**2*m**3 + 1959*c*m**3 - 23*m wrt c?\nAnswer: 67980*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 36*q**2 + q + 21. Let t be w(6). Suppose -4*n + 11*n - t = 0. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004835 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 0 - 2 - -6. Suppose -760 = -2*x + l + 2*l, x - p*l = 390. What is the greatest common factor of x and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 212*a + 210*a - 418*a, 3*a + 4 = 3*l + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -84, -33, 112, 399, 876, 1591, 2592, 3927?\n\"Answer: 8*z**3 - z**2 - 2*z - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -14\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108 - -180. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 + 2.3. Which is the biggest value? (a) 3 (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/2)\/((-9)\/(-12)). Suppose 3*v - 6 = i*y - 46, 5*v + y + 84 = 0. Let t = 47 + v. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5*1 - (-975)\/225) + 582\/9. Let m be (231 - 5)*1\/2. Let t = -65 + m. What is the greatest common divisor of z and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1215 and 126?\nAnswer: 17010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*p + a, 5*a - 10*a = 3*p - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10283585 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d**3 - 7*d + 7. Let x(j) = j + 9. Let f be x(-7). Let g(c) = c**3 - c + 1. What is f*z(s) - 14*g(s)?\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10\/3, 12, -4\/5?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14142 + -130?\nAnswer: 14012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -123*z**2 + 4681*z - 266. What is t(38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 9*o**2\/2 - 2410. Let r(q) be the first derivative of -2*q**3\/3 + 1. What is r(v(z))?\nAnswer: -162*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/853 + -1796\/12795. What is the smallest value in -1\/2, c, 9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 52.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(170) - -1*sqrt(170)*3)\/(sqrt(10) + (sqrt(10) + (sqrt(30)\/sqrt(3) + sqrt(10))*3 - sqrt(10) - sqrt(10))).\nAnswer: 2*sqrt(17)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/55? (a) 4 (b) -37\/2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 623 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223879865 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + 3*h**3 - h**3)*(-4*h**2 + 4*h**2 + h**2) + (h**5 - 3*h + 3*h)*(1 - 1 + 2) + 10*h**5 + 6*h**5 - 5*h**5.\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x + 12*x + 10*x)*(-3 + 8 - 1) + 3*x - 2*x - 2*x.\nAnswer: 115*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 7. Is u equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1341*s**2 + 2*s. Let k(u) = 264176*u**2 - 395*u. Determine -395*a(c) - 2*k(c).\nAnswer: 1343*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1216, 1188, 1120, 994, 792, 496?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-12 - -23) - -25 - (-49 + 4)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17114 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*f - 11*f**2 - 14*f - 47*f**2 - 22*f - 16*f + 54*f**2.\nAnswer: -4*f**2 - 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a week in hours?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -1. Let o = 38.31 - 40.31. Sort o, 1, v in increasing order.\nAnswer: v, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1395 + 3*w - 1395.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -608 = -t + 5*d, 3*t - 1738 = d + 156. Does 24 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.61 - 0.5866. What is j rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68.7 + 68.3. What is the nearest to -6 in -0.1, -0.03, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 - 3 - 6*y**2 + 2 + (4*y**2 - y**2 - y**2)*(2 + 2 - 3) to the form v*y**2 + b + m*y and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1))\/j**(-4)*(j*j\/(j*j**(1\/2))*j*j)**(1\/31) assuming j is positive.\nAnswer: j**(253\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122*j**3 - 5*j + 10.\nAnswer: -732*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/53 (b) -2\/7 (c) -2 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 600252074 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*15\/(-5400)*(-16)\/54?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1030026085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 701 - 492. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2973995 is divided by 1283.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.5 - -12.3. Which is the third smallest value? (a) i (b) -2 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -29*u + 107. Let n be w(23). Is 16 a factor of ((-112)\/10)\/4*n\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**3 - 60*d**2 - 215*d - 150 = 0.\nAnswer: -2, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2*n - 123*h**2 - 67*h*n**3 + 2 with respect to n.\nAnswer: -2*h**2 - 201*h*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102715?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/((-65)\/5) - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -n - 2*n. Suppose -4*i - i = n*c - 5, 0 = -c + 3*i - 3. What are the prime factors of 8 + c + 2 + -4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1818527, 1818528, 1818529?\nAnswer: 1818530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 5:04 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 99049947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 24 = 2*z, 3513 = -492*q - 2*z + 5*z - 0*z + 585 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.7 + 2.3. Let n = o + -2. Let d = -17 + n. What is the nearest to -4 in 5, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*m = -2003*m - 86320 for m.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**5\/4 + 7065*s**4\/2 - 137464*s**3 + 2163201*s**2\/2 - 6551503*s\/4 - 2860473 = 0.\nAnswer: -1, 4, 7, 29, 14091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 10:23 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3199256420 - 1350.4?\nAnswer: 3199255069.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -10 - (2 - 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p. Let o(n) be the second derivative of 13*n**4\/12 - 2*n. What is o(w(j))?\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 + (69 - 54) + 118?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79710?\nAnswer: 2, 3, 5, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - s = 14, -4*g = -6*s + s - 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f**2 - 12*f - 4. Let k be n(-4). Let q = -342\/5 - k. What is the smallest value in 5, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55200695.\nAnswer: 5, 11, 59, 17011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3437889 - 7253666. Let k = d - -3815760.80079. Let q = 16.2 + k. What is q rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -1 + 40 + -46?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/116279930 and 81\/1300.\nAnswer: 1162799300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 4*t + 6. Suppose 0*f = 2*f - 8. Suppose 0 = -2*x - 3*y + 15, 4 = x - f*y + 2. What is the smallest common multiple of x and c(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/5 + 927*o**2\/5 - 17607*o\/5 + 16677\/5.\nAnswer: 3*(o - 17)*(o - 1)*(o + 327)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Let q be 18\/(-8) + 1\/4. Suppose 19 = 2*c + 3*m, -5*c - 3*m = -7 - 27. Sort v, q, c in increasing order.\nAnswer: q, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -579 and -428.83.\nAnswer: 248292.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 141000550017.7 and 57.\nAnswer: 141000550074.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9229604, 18459207, 27688808, 36918407, 46148004?\nAnswer: 55377599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*v**5 - 13982*v**4 - v**3 - 209802562*v**2 wrt v?\nAnswer: -2940*v**2 - 335568*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.7 + -0.3. Let w = p + 7. Let d = 0 - -0.1. Which is the third smallest value? (a) w (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -9, -2, -3\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3 = 2*v. Let p be ((-18)\/(-42))\/(-1 + 1 + v). Let x be 4\/2 - 20\/12. What is the nearest to x in 0.1, p, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = 0, 6*v = 3*v - 4*n - 797. Which is the second smallest value? (a) -0.4 (b) -0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u - 203876 = 0. Suppose 2*r - r - 126944 = -5*j, -2*r - 2*j = -253928. Let q = u + r. Round q to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 m when four letters picked without replacement from xxhhhihxhm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 6*u**2 - 4*u - 3. Let p be a(-7). Suppose y - 23 = 5*w - 112, -4*w - 2*y + p = 0. Calculate the remainder when 106 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/((j**8\/j)\/j*j))\/(j\/(j*j\/j**3)))\/((j**0\/j)\/(j\/j**(2\/5)*j)))\/((j\/j**2)**(-1\/65)*(j*j*j**6*j)\/(j\/j**(2\/9))) assuming j is positive.\nAnswer: j**(-7393\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + y = u + 5, u - 11 = -5*y. Let n = 0.3 + -1.3. Which is the biggest value? (a) u (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*74*-1. Suppose 2*l + h = 3*i + 116, 0 = -3*l - 5*i + 166. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 + 0)*(-20)\/30. Let l be 1*y*(-39)\/52. Solve -3*f + l = -0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -83771, -83770, -83769, -83768, -83767?\n\"Answer: o - 83772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*g**3 + 3*g - g + 21*g**3.\nAnswer: -22*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 5*c**2 - 4*c + 1. Let q be s(4). Let a = -1 - q. Let l(i) = -i**3 - 10*i**2 + 10*i - 13. Let y be l(-11). Is y less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -718, -7623, -26370, -62881, -123078, -212883?\n\"Answer: -987*v**3 + v**2 + v + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 h when three letters picked without replacement from {h: 2, t: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d - 4*d)*(4 - 3 - 4 + (0 - 1 - 1)*(5 - 2 - 1) - 1 + 2 - 2).\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3 + 33 = 0. Let j = o - 4. Suppose 8 = j*u - 2. Solve 3*t - 1 = u*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 1. Suppose z + 23 = 4*z + 2*m, -3*m + 12 = 0. Suppose 0 = 3*i - 3*t - 25 + 7, -40 = -z*i - 5*t. Let b be i - 3 - 8 - 0. What is g(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54564594 by -6.\nAnswer: 9094099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0 = -2. What is the third derivative of 0*o**z - 4*o**4 + o - o**2 - o wrt o?\nAnswer: -96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 354 - 228. Solve -16*w + g*w - 8 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.719 or 1696?\nAnswer: 1696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 348?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -71 and -26?\nAnswer: 1846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -1. Let i = 2870795\/29 - 98993. Put i, v, -4 in descending order.\nAnswer: i, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/14? (a) 50\/9 (b) -2\/21 (c) 3\/5 (d) 1 (e) -18\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 844070 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1606\nAnswer: -5\/1606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 282310 and 238280.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2701470233.\nAnswer: 7, 11, 37, 599, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -32*x - 16. Let k be w(-6). What is the greatest common factor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1397 - 1369.06. Round s to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7057132*k - 19969235 wrt k?\nAnswer: 7057132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 6:18 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/14 + -9)*(0 + 2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 - 9615*s - 10. Give g(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) -1 (b) 5 (c) 0 (d) -0.12 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-2\/7))**(-2\/15)\/(((((o**(2\/5)\/o*o)\/o)\/o)\/o)\/(o\/(o*o**(-5)*o))))**(-2\/11) assuming o is positive.\nAnswer: o**(-446\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -265 + 260. Sort 2, s, 0.03 in decreasing order.\nAnswer: 2, 0.03, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49481a (base 12) in base 8?\nAnswer: 4424226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -49198 divided by 2?\nAnswer: -24599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-2))\/((-450)\/120))\/(6*18\/(-420))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2415224818?\nAnswer: 2, 31, 38955239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 18. Suppose -u*y = -10*y + 24. Suppose -5*a = -0*a + 10, 2*n = y*a + 594. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*m + 2*n, -m - 4*n - 10 = -2*m. Suppose -2*i + 5*w + 218 - 24 = 0, 0 = -4*w - 8. Suppose m*s - i = 2*s. 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 hundreds digit of 5183045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 159*2\/(-30) - -10. What is the fifth biggest value in 1, -18\/7, 0.4, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 - 15*z**2 + 6*z + 2. Let a be n(7). Sort -20, 2, a in ascending order.\nAnswer: -20, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13777084 to the power of 1\/2, to the nearest integer?\nAnswer: 3712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*k - 2542044 = -23*k - 114*k. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -27 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 15 (c) -12 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -16. Put -2, 3, z in descending order.\nAnswer: 3, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3 - 954*w**2 + 1902*w - 950 = 0 for w.\nAnswer: 1, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29097 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-35)\/(560\/576) - -43. Let h be 2*(2\/(-1))\/(-2). Solve h*g - m = -9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15290)\/165)\/(22\/(-12) - -2). Let f = r - -568. Solve 0 = 5*q - 2*b + 31, 3*q + b + f = -0*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11352 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -71*w + 3209. Give o(45).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + y = 3*s + 3, -4*y - 2*s - 79692 = -79722 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1128 - 0.0473. Round j to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 10:02 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 519 - 335. Let s = w - 178. Let a(g) = 2*g + 2. Let i be a(5). What is the highest common divisor of s and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2. Let m(q) = 235496702*q**2 + 2128775*q. Let y(n) = 38719*n**2 + 350*n. Let u(d) = -14*m(d) + 85151*y(d). Calculate u(p(l)).\nAnswer: 7741*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9755 - 25587 = 258*u - 239*u + 412*u for u.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n. Let r(s) = s**3 + 5*s**2 + 3. Suppose 0 = y + y - 2*i + 2, 0 = 5*y - 2*i + 17. Let t be r(y). Suppose 0 = t*c + 3 + 3. Calculate o(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3668537, -7337212, -11005885, -14674556, -18343225?\nAnswer: -22011892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1110)\/(-9990) + (-232)\/(-18)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691034941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4239396 by 18.\nAnswer: 235522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3*(-332)\/(-24))\/(1\/6). What is the greatest common divisor of 166 and p?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 83444046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 7:36 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -595*t + 84908 = 2566*t + 258393 + 82556 for t.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 271 (c) 2 (d) -1 (e) -0.912 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 2*c - 2*c)*(6*c - 5*c - 1 - 1) to the form m*c + z + r*c**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47228940 a multiple of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - -6 - (-1 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1401243?\nAnswer: 3, 467081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -235\/93 at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-1 + (sqrt(27) + 2*sqrt(972) + sqrt(972) - sqrt(27)))\/((sqrt(270)\/(sqrt(60)\/sqrt(6)))\/sqrt(3)).\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*y - 184 + 568, y = -4. Let m be 24\/10*r\/24. What is the highest common factor of m and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -9. Let j(u) = 5*u - 135. Let q be j(26). Put q, c, 2 in increasing order.\nAnswer: q, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6221711, -10, -5 in decreasing order.\nAnswer: 6221711, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98010659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 3, 1\/2, -2.07, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 7:25 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/((s\/s**(-1))\/s))\/s)**31*(s\/((s\/s**(-9))\/s))\/s**(6\/17) assuming s is positive.\nAnswer: s**(385\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82663746?\nAnswer: 2, 3, 11, 29, 43189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5 = -4*k, 326*j - 29 = -4*k + 329*j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-196 - -60) + 63 + (-6 - -4)*(0 + 1)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*v - 0*v + 9, 0 = -3*x + 4*v + 22. Let w(l) = -8*l + 18. Let b be w(-8). Let h = b + -34. What is the highest common divisor of h and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b - 4*b - 2*b - 3*b.\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c - 5. Let o(g) = g + 3. Let p(v) = -6*n(v) - 10*o(v). Let m(f) be the first derivative of -5*f**3\/3 + 5. Give p(m(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/4 + 7\/20. Let r be (-2)\/(1\/(-1 - 0)). Sort h, -2\/7, r.\nAnswer: -2\/7, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7101173?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggg. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 92.10072 meters?\nAnswer: 0.09210072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 719 + -733. Let v(s) = s + 9. Calculate the remainder when b\/7*3 + 2 - -27 is divided by v(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -205724 or -201030?\nAnswer: -201030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2706 + 720 - 1303 - 1813)*(3*m**2 - 7*m**2 + 2*m**2) in the form z + q*m**2 + v*m and give q.\nAnswer: 10204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/832 and -53\/704.\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:35 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnnnnnq. Give prob of sequence nqnn.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1538 + 1549. Solve j*w = 12*w - 3*o - 10, -o = 3*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3140000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, 55, 139, 257, 409?\n\"Answer: 17*z**2 - z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/81 + 2\/36.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17126847 divided by -100157?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 7*z + 9. Let o be u(6). Let p be 6\/9*o - -21. What is the greatest common factor of p and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tootttoootttttotttt?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 15*b**2 - 16*b + 6. Calculate the least common multiple of 3 and r(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Suppose 0 = 3*w + 12, -4*w - 3 = 5*l + 3. Suppose -r + l*r = 8. Solve q*i - 2 = -r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, 0, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 258780 and 2458410?\nAnswer: 4916820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*2.1786.\nAnswer: 10.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2131 - -2233?\nAnswer: 11030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84*c**4*w - 25919*c**4 + 5*c**2*w + 2*c - 23186 wrt c.\nAnswer: -2016*c*w - 622056*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -32490*j + 194858. Calculate q(6).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**3 - 2*m**2 - 5*m. Let d(c) = -5*c**2 + 24*c - 13. Let q be d(4). Let o(v) = 5*v**3 + 33*v + q*v**2 - 8*v**2 - 44*v. What is -9*k(s) + 4*o(s)?\nAnswer: 2*s**3 - 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from mgppppxx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + -13?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 = 30*v + 66 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 586591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*c + 64 = -2*z, -2*c + 29 = -z. Let a be (0 - 5)*86\/(-10). Let f = z + a. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 6:34 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4*44520360\nAnswer: -178081440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*w**2 - 28 + 28 in the form z*w**2 + m*w + n and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230031 + 22143?\nAnswer: 302224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -12\/7679873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*m - 20*m - 4*m + (2*m + 0*m - m)*(60 - 131 + 5 + (-4 + 5 - 2)*(0 + 0 + 2) - 3 + 3 - 2).\nAnswer: -112*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 = -3*y, 2*i = -4*y + 12 + 6. Let b = -4\/12909 - -25846\/90363. Factor 0*q + b*q**i - 1\/7*q**2 + 0.\nAnswer: q**2*(2*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 5 - 3*o - 3*o + 5*o. Let w be y(-5). Suppose w = 4*r - 0*b - 3*b - 24, 4*b - 24 = -4*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 650 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: Calculate the remainder when 33134542 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 12 = -2*j, 16 = -j - 0*l - l. Let t be (-3)\/j + (-7)\/28. Suppose t = -7*r + 2*r + 620. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 17, -6, -4, -3 in descending order.\nAnswer: 17, 0, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -63 and 1548975.77926.\nAnswer: 1548912.77926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4 = 3*u, 0 = 103*x - 108*x - 4*u + 36 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 u when three letters picked without replacement from {o: 4, u: 4, k: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44 + 89*r + 44 + 0*r - 6*r + r + (0 + 0 + 1)*(-r + 2*r + r).\nAnswer: 86*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.49 + -496.49. Let y = -809211083.000303 + 809211570. Let i = a + y. What is i rounded to 5 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27927 or -28027?\nAnswer: -27927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 30 = -0*v - 2*i, 84 = 4*v - 4*i. Let o = 41 - -12. What is the remainder when o is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 6*v - 5*d + 710, -558 = -4*v + d. Let q = -56 + v. What is the highest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 12. What are the prime factors of (-2 + s)*96\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 11:49 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-35)\/(-6))*(-21495)\/842604?\nAnswer: 3\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1287 and 152217.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 209577.6 months?\nAnswer: 1746.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3349049758?\nAnswer: 2, 433, 3867263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 2*y**2 - 23*y + 4. Give k(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11927.268 nanoseconds in hours?\nAnswer: 0.00000000331313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is cc61 - 17?\nAnswer: cc47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -320.\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**5\/4 + 5*i**4\/8 - 25*i**3\/3 - 105*i**2\/4 + 139*i. Determine t, given that z(t) = 0.\nAnswer: -7\/2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 15*p**2 + 1408*p - 1408*p. Let g(y) = 4*y - 7*y**2 - 4*y. What is -13*g(a) - 6*v(a)?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4187\/2247 + 2\/321. What is the common denominator of 93\/10 and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.1. Let g = 0.1 - i. Let f = 0.5 - 0.2. What is the smallest value in 1\/3, g, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*n**3 + 12531 - 12528 - 72*n - 2*n**5 + 2*n**3 wrt n.\nAnswer: -40*n**3 + 84*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122021022111 - 2?\nAnswer: -122021022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 5*v + 635, 238*v = 22*x + 228*v - 1190 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 49*u**2 + 5*u - 242. Determine r(49).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-44)\/36)\/((-26760)\/1485 + 18). Which is the closest to -0.1? (a) -2\/5 (b) r (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -1\/35*x**5 + 0*x**3 + 0*x**2 + 0*x**4 + 17*x + 0. Suppose u(y) = 0. What is y?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2597959*v**4 + 6337*v**2 - 113*v + 2?\nAnswer: 62351016*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2542*x + 32791 = -54*x - 445*x - 18284 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**4\/7 + 8*i**3\/7 + 74*i**2\/7 + 120*i\/7 + 1413. Let b(v) = 0. What is v?\nAnswer: -3, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -958568056?\nAnswer: 958568060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4966955*f - 100632436 wrt f?\nAnswer: 4966955","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 - 2*z + 1. Let j(h) = h**3 - h. Determine 8*j(u) - 3*l(u).\nAnswer: 2*u**3 - 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*a + 39, -l - 15 = 4*l. Suppose 3*j = -f + 8, 2*f + a = -f. Suppose -j*d - 14 = y, -5*y - 4 = 3*d - 2. Solve -y*p - 2 = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 4. Let k be d(8). Suppose 3*l - 16 = 5*h, -2 = h - l - 0. Sort -3, h, k, -7 in decreasing order.\nAnswer: k, -3, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1830 and 8?\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 93\/14? (a) -0.5 (b) 5 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 1 + -4 + -2 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 - 12*c**2 - 16*c + 12. Let n(w) = w**2 - 8*w + 24. Let g be n(4). What is the tens digit of z(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 11:35 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -842682 = -19081*j + 19052*j. What are the prime factors of j?\nAnswer: 2, 3, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, -1\/3, 0.1, -132?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -595, -594, -593, -592, -591, -590?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/18)\/(2 + (-39)\/6)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328676502.\nAnswer: 2, 3, 7, 11, 103, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7287\/10 + 3597\/5. What is the common denominator of 9\/22 and w?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*11\/539 - 1\/(21\/465).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 5c3?\nAnswer: 5bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**3\/3 + 4*d + 4. Let s(v) = -v**2 - 3. Let q(m) = m + 1. Let i be q(2). Calculate i*j(g) + 4*s(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -667, -796, -927, -1060?\n\"Answer: -w**2 - 126*w - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14325 - -14327. Put -5, -4, t, -42, -1 in decreasing order.\nAnswer: t, -1, -4, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 5338075.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 713347933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/225 and 76\/225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-2*-6)\/(sqrt(864) - sqrt(6) - sqrt(6))*-1.\nAnswer: -6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 82, 576, 1916, 4528, 8838, 15272, 24256, 36216?\n\"Answer: 71*h**3 - 3*h**2 + 6*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w + 100*w + 43*w - 4342 = 0. Solve 0 = 5*x + 3*s + w, -x + 198 = s + 204 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s = 5*g + 51745, -s - 41383 = 4*g. Let h = -34708903 - -624946355\/18. Let j = g + h. What is the common denominator of 49\/20 and j?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 6*y = -2529, 4*c - 5*y - 2406 + 422 = 0. What is the remainder when 2017 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315006056 is divided by 2283.\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggoz when four letters picked without replacement from {w: 1, g: 2, z: 1, e: 4, o: 4, a: 8}.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 386278 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 3. Let h be (-46)\/(-3) + g\/(-9). Suppose -h = -3*d - 2*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -64. Calculate the smallest common multiple of 33 and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2461 * -3.\nAnswer: 3.7383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i + 748. Let m = i + -175. Let w = 417 - m. What are the prime factors of w?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v**6 - 115*v**4 + 3*v**2 + 78*v?\nAnswer: 480*v**3 - 2760*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23990 rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144562 or -1902?\nAnswer: -144562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29\/(-203) + 324\/14. Suppose 0 = -v*d + 18*d - 33*d. Solve -4 = -2*l - d*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) 39 (c) 12.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 6. Suppose -4*i - h = -5*x + 1, -3*x + 8 = -i. Let w be (2\/i)\/((-8)\/(-16)). Sort -3, w, -4 in ascending order.\nAnswer: -4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**3 + 2*x**2 - 2*x + 1. Let v be t(1). What are the prime factors of 34 + v*4\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*f**2*p**2 - 143*f**2 + 3*p**4 + 2*p wrt p?\nAnswer: 74*f**2 + 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*g**3 + 169*g**3 - 97*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*g - 36, 0*g + 2*g - 21 = v. Let m = g + -6. Suppose -m = -7*o + 4*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*l + 2514*l + 5014*l + 13093*l.\nAnswer: 20583*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -126, 5 in ascending order.\nAnswer: -126, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 33 = 2*t, -5*t + 5*u - 198 = -128 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - -3)\/((-7)\/((-140)\/(-8))). Let u(v) = -23*v + 1699. Let k be u(75). Is b less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5854 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*m - 289*m**2 - 16*m**2 + 304*m**2.\nAnswer: -m**2 - 52*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/13)\/(p*p\/(p*p*(p**3\/p*p)\/p))*(p\/(p\/((p*p**(2\/7))\/p)))**4)**(21\/2) assuming p is positive.\nAnswer: p**(450\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -810.15 + 733. Let p = c + 78. Let u = p - 1.84. Round u to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 140 + 152 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01887178 to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**4 + 110*c**3 + 325*c**2 - 3380*c = 0?\nAnswer: -13, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -808 - -807.8. What is the nearest to -1 in 0, 5, c, 1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 247*d**5\/5 - d**3\/3 - 23*d**2\/2 - 2*d - 154. What is the second derivative of l(o) wrt o?\nAnswer: 2964*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 812, 2\/15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 810229 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51, -104, -153, -198, -239, -276?\n\"Answer: 2*i**2 - 59*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 18*a**2 + 7*a - 107. Let c be k(18). Suppose -7*t - 4440 = -c*t. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 7*a + 2*a)*(556*a - 1490*a + 715*a).\nAnswer: 219*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 494.7 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20.5 * -2.22\nAnswer: -45.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/5 + 58*o\/5 + 647184\/5.\nAnswer: -(o - 834)*(o + 776)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-761*h - 34*h - 128*h)*(-5 + 4 - 1)*(1 - 4 + 1) + (4 - 1 - 2)*(3 + 3*h - 3) as u*h + k and give u.\nAnswer: -3689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 minutes after 2:47 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-5 + 3 + -4 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)*3*2)\/(3*sqrt(704))*-6.\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -49. What is the nearest to -0.1 in z, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29565 by -1616.\nAnswer: 29565\/1616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76109745 and 70570.\nAnswer: 152219490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.098 - -2.898. What is the third smallest value in k, -5, 4\/7, 2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - u - 2 = 0, -2*u - 4 + 0 = 0. Suppose -3*r - d = -11, -11 = 2*r + d - 4*d. Suppose a = -3*k + r*k. Solve k*b - 4 = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*a**3 + 309*a**3 - 68*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - s**3 - 19738466371612 + 19738466371612.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-28)\/6)\/(-14))\/((-1)\/12). Let d be 190\/30 + m\/12. Solve 3*k = -i + 8 + d, k - 3 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, w: 6, b: 4}. Give prob of picking 2 w, 1 b, and 1 d.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83296608 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*h**2 + 107*h**2 + 1175*h**2 in the form q*h + o + y*h**2 and give y.\nAnswer: 1221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -1\/5*i**4 - 8\/5*i**2 + 5*i - 4\/5*i**3 - 1\/50*i**5 + 0. Determine d so that h(d) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 4\/5, 7586, -5, 2\/11, -1 in decreasing order.\nAnswer: 7586, 1, 4\/5, 2\/11, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2 - 11*n - 2. Let c(f) = -3*f - 35 + 312*f**2 + 8*f + 33 - 15*f - 316*f**2. What is -2*c(l) + 3*q(l)?\nAnswer: -l**2 - 13*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.7, 4.57, 5, 166\/15, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -134\/17, 3, 805, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -11*m + 16*m. Sort m, -2, 5 in increasing order.\nAnswer: m, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 7. Let g = 5 + f. Which is the closest to g? (a) -4 (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 m, and 1 h when four letters picked without replacement from ahbahhhahnhmammh?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + -6*(sqrt(44) + (sqrt(44) - sqrt(396))) - (-6*sqrt(132)\/sqrt(3) - sqrt(44)))\/((sqrt(1152) + sqrt(1152)*1)\/sqrt(8)))**2.\nAnswer: 539\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313555130.\nAnswer: 2, 5, 7, 271, 16529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77434 - 5922 = -14*k. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7001145 - 7001240.00043. Let t = s + 95. Round t to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 18\/5*(-20)\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 13, u: 3}.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -41537.\nAnswer: -5\/41537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 - r. Let v be i(1). What is the closest to -1\/2 in 0.4, -2\/7, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(45))**2*-5.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.3 + 58.06676346.\nAnswer: 52.76676346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*j - 10662 = 0. Is j\/1*((-24)\/(-6) - 7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 206043 and 0.9.\nAnswer: 185438.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/109 (b) 2\/15 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -24 - -26 - (1 - -127). Find the common denominator of ((-6)\/(-232))\/(27\/j) and 131\/6.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-64) - 3\/12. Find g, given that -31762*g + c*g**3 - 2*g**2 + 31763*g + g**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 - 13*q**2 - 5*q + 1. Suppose w + 4*n = 34, 0 = -w - 3*n + 2*n + 25. Suppose 3*g - 4 = -w. Let r be l(g). Sort r, 3, 1\/4.\nAnswer: r, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(5\/4)\/(d**(-4)\/d)*(d**9)**49)**(-10\/3) assuming d is positive.\nAnswer: d**(-8945\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014648 rounded to seven dps?\nAnswer: 0.0000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7320615 divided by 252435.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 4*n + (2 - 1 + 0)*(-4*n + 2*n + 4*n) + 4 - 4 - 5*n to r*n + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = n. Let u be (-43)\/110 + n\/2. Let s(w) = -2*w**3 - 9*w**2 - 14*w - 8. Let o be s(-2). Is o <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98658377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - -6*(sqrt(84) + 1*sqrt(84)))\/sqrt(12) - -4*sqrt(847)*-4)**2 + -1.\nAnswer: 185982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -122*u + 1890. Calculate s(15).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 73?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 2011423?\nAnswer: -2011421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n**2 - 3*n - 1. Let q be l(-3). Let v be (q\/(-2) - 5)\/(2\/4). Suppose 8*t = v + 3. Solve -5*j + 14 + t = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39706, 39707, 39708?\nAnswer: 39709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:37 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/728590 and 145\/18.\nAnswer: 6557310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = -3*m, -r + m + 3*m = 3. Let d = 0 + 0.1. Let q = -1\/36 + -2\/9. Which is the closest to q? (a) -0.1 (b) d (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370707 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*sqrt(4)\/sqrt(2)*-4 + (1*sqrt(128))**2 + (sqrt(2) - ((sqrt(2) - sqrt(22)\/(sqrt(33)\/sqrt(3))) + sqrt(2)))**2 + -5 + -2.\nAnswer: 20*sqrt(2) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5009, 40, 4 in increasing order.\nAnswer: 4, 40, 5009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -211255869 + 211256233.000378. Let j = o - 364. What is j rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*h - 542*h - 430*h - 306*h.\nAnswer: -1016*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.3 - 106.3. Let u = v + -65. Which is smaller: 1\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80444 divided by 169\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6\/7)*v**(-2\/3)\/v*v*v**9\/v**(-2) assuming v is positive.\nAnswer: v**(199\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (40\/2)\/2. Suppose n*g + 4*j = 2*g + 130, -4*g = 5*j - 104. What is the remainder when g is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11100 - -10250. Is y > -5952\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599 a factor of 35749204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 45*x + 194. Let a be g(-4). Suppose 4*t - 154 = -a. Calculate the least common multiple of t and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/177 and 58\/129.\nAnswer: 7611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 - 2*t**4 + 3*t**2 - 207*t**4 + 30*t**4 + 60*t**4 + (0*t + 0*t + 2*t**2)*(5*t**2 - 3*t**2 - 4*t**2).\nAnswer: -123*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t - 2. Let z = -23693 + 142159\/6. Let i(j) be the second derivative of 21*j + 1\/2*j**2 + 0 + z*j**3. Give -2*i(p) - l(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.02, 2\/7, -35, 5, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2015797?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10140\/1859*((-275)\/10)\/(-5)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8733.4 * -0.64.\nAnswer: -5589.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 579162*k**2*u**3*v**2 + 2*k**2*u**2*v + 14*k**2*u - 558*u**2*v**2 wrt u.\nAnswer: 3474972*k**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -555*s**2 - 23 + 277*s**2 - 39 + 274*s**2.\nAnswer: -4*s**2 - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-13))\/(100\/(-325))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000021869448 to seven dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/188111 and -111\/1527922?\nAnswer: 74868178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a**3)\/a)*a**(-4\/11)*(a**(1\/3))**19)**(-1\/32))**(5\/8) assuming a is positive.\nAnswer: a**(-655\/8448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*f = -f + 61, -2*o + 2*f + 98 = 0. Is o a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-1)\/(4 + -4 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(162)*1).\nAnswer: -9*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 k when four letters picked without replacement from {t: 7, k: 6}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6003739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 369201 to the power of 1\/2, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(4 + 891\/(-225)). Solve b = -4*w - w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.413 and 2392 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + j - 1. Let p(s) = 7*s**2 - 4*s + 7. Let c(k) = 6*i(k) + p(k). Suppose 1 = -3*y - 2. Let w be c(y). Put 4, 1, w in decreasing order.\nAnswer: 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54316, -107991, -161688, -215419, -269196, -323031, -376936?\nAnswer: -430923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3221.\nAnswer: 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40479477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 2:20 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28, -32, -40, -52, -68, -88?\n\"Answer: -2*g**2 + 2*g - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.222 + -4.222. What is the third smallest value in -5, -183\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -6*y**3 + y - 8. What is g(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 20. Let i = -1 + 1. Which is the smallest value? (a) i (b) -1\/6 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + 0*m**2 + 0*m**2 + (-2*m + 0 + 0)*(38 - 38 - 15*m).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvv. Give prob of picking 2 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.9 + -2.927. What is o rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o - 27. Let b be r(-11). Put -4, 4, b in increasing order.\nAnswer: b, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-4)**2 - sqrt(55)\/(sqrt(5) + 1*sqrt(5)).\nAnswer: -sqrt(11)\/2 + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.9 and -71276?\nAnswer: -135424.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 720236 (base 9) to base 6.\nAnswer: 13051140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -49169?\nAnswer: 49169.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + 55*k - 784. Let z be 1 - -23 - (-2)\/2. Let c = z - 9. Calculate the remainder when a(11) is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-32) - (9 + 297\/(-36)))\/((-5)\/245)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4038 = 4*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 - v**2 + 32*v + 147. Give f(-5).\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681693 to the power of 1\/2, to the nearest integer?\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 91956 = -3*l, -4*l = 5*x - 81044 - 72180. What is the ten thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/42)\/(12*(-16)\/(-896))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1.6559856us?\nAnswer: 0.0000000000191665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -37*r + 160. What is the smallest common multiple of 296 and j(4)?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 1:36 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b**2 + 0*b**2 + b**3 - 14*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + -19 - 18428\/(-1626)\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, w: 2, n: 2}. What is prob of sequence wxnx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g + 114. What is o(16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -354, -353, -352?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 0)**2 + sqrt(99) + (sqrt(1100) - sqrt(1100)*2).\nAnswer: -7*sqrt(11) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 6:42 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(300 + 2*i - 4*i - 218) to the form z*i + y and give y.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 14) to base 11.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2421.5 and 2.\nAnswer: -2419.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from jzjjzjjjjj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3430 and 4286814?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29510 and -0.4025?\nAnswer: -11877.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 1)*(-2*r + 0*r + 0*r) + 2*r + 3*r - 3*r - 2*r + 2*r + 2*r)*(-r**2 - 2*r**2 + r**2)*(18*r + 340 - 340).\nAnswer: -288*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/26)\/(48\/32).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*j - 279, j + 367 = 9*h - 5*h. What are the prime factors of h?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17, -3 in decreasing order.\nAnswer: 17, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(12) + -3 + -2 + 3).\nAnswer: -12*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501164188 to the power of 1\/3, to the nearest integer?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 184651.5 - 184836.50612. Let y = 185 + r. What is y rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 99*l**3 - 34*l**3 - 22*l + 5*l**2 - 64*l**3 + 20. Let t be s(-8). Solve -t*a = -2*k - 6, 0 = 5*a - 3 - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 8:01 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -14*t**3 - 1. Let x be n(-1). Suppose -x = -13*j - 0. Suppose -2*h - 4 = -0. Put h, 4, j in decreasing order.\nAnswer: 4, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -278 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 7. Suppose 4*q = -o + 8, -4*q + 68 = 4*o - 0*q. Let m be ((-1)\/(-3))\/(o\/36). Which is the closest to 0.1? (a) v (b) m (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.1170887 months to years.\nAnswer: 0.093090725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4169 is divided by 139.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 + 52209\/(-27). Let q = -1321 - x. Suppose 15*d - 9*d - q = 0. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 - 12 - 17)*(4*i**3 - 3*i**3 + i**3) as d*i + g*i**2 + j*i**3 + v and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 348680 - 232840. Let q = 1084160 + x. What is q rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 40*u**2 - 217*u + 216. Determine k(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4446, 4389, 4332, 4275?\n\"Answer: -57*i + 4503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13 - 13\/1) + 8\/394. Sort -0.3, 0, n.\nAnswer: -0.3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 1306 = -3*m - 1246, -5*o = -2*m + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 3*n - 3. What is the units digit of t(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62864920 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -0.05, 0.3, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49908849 to the power of 1\/2, to the nearest integer?\nAnswer: 7065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j**2 - 2791*j + 16813. Calculate v(6).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 23*l - 11. Solve 0 = 5*a + 14 + l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213735 divided by -3\nAnswer: -71245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4014 - -4014.3218. Round a to two dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 22685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 178*w - 117. Give z(65).\nAnswer: -3237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (68 - (32 - 28))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26147017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/2 - 470554\/(-23485)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**5\/20 + 5*c**4\/12 + c**2 + 2*c. Let h be a(-5). Suppose 0*g - h*g = -24. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 9*f + 13. Let l(n) = -5*n - 7. Let t be -4 + -2 + 1 + 28. Let u = t + -38. Let a(p) = u*l(p) - 6*w(p). What is the first derivative of a(d) wrt d?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5860 + -5836. Calculate the highest common factor of 102 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 17 (b) 2 (c) -45 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-125))\/((5\/25)\/(9\/6)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 170 + 244 = 0. Let z = m + -67. Let p be (-2)\/8*(-56)\/6. Which is bigger: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**3 + 193215*s**2 + 1545480*s + 3090800 = 0 for s.\nAnswer: -38635, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + (51 - 95) + 112.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 - 85 + 11*k + 0*k - 2*k + 4*k + (2*k - 3 + 3)*(0 + 4 - 2) - 2*k + 2 - 2)*(k**2 - 3*k**2 + k**2).\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) + 5*((3 + sqrt(99))**2 + sqrt(99))) - (-5 + 5 + sqrt(99)\/sqrt(9))) + 3.\nAnswer: -537 - 106*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 5 + 3)*(-1 - 4 + 3) - 1 - 10 + 2)*(-4*a - 4 + 4).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -21*f - 14. Is o(-4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000714772134 to 7 decimal places.\nAnswer: 0.0000715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - ((24 - -28) + -21) - (1 - -23).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31907 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r**3 + 24*r**2 - 24*r + 15. Let d(o) = 5*o**2 - 5*o + 3 + 4 + 2*o**3 - 1 - 3. Let w(z) = -24*d(z) + 5*q(z). Differentiate w(b) wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.3 + -25.9. Which is the closest to 1? (a) -17 (b) 4 (c) p (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35781727.3 to the nearest 1000000.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(20\/30)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 + -5.1. Let f = 43 - 43.1. Which is the nearest to f? (a) 0.5 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-6))\/((-12)\/32). Suppose -a*o + 7*o - 150 = 0. Let v be (4\/8)\/(1\/o). Calculate the highest common factor of v and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13063 + 13070. Let a(q) = -q**3 + q**2 - 1. Let b be a(1). Sort j, b, 2, 3 in decreasing order.\nAnswer: j, 3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7759439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 2) + 4 + (-135 - -120) - -14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -3 - -14) + 6 + 5 + -12\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 412943130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-8)*21\/49.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, l: 5}. What is prob of picking 4 m?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -259587456?\nAnswer: 259587460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 3. Let b = h - 1. Calculate the remainder when 13 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29659.\nAnswer: 7, 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/3 (b) -0.06 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 - -53. Suppose -10 = -2*a + 3*o - 6*o, n*a - o = 4. Which is greater: -8 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3401003 - 10220*f - 3401003 to the form o + u*f and give u.\nAnswer: -10220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssxjssssjjxj. What is prob of picking 3 j?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 12:43 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.096 + -54.904. Let k = q + 54. Let p be -1 - (-2 - 6\/(-4)). Put p, k, 1 in increasing order.\nAnswer: k, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -207*n**3 - 3*n - 2. Let a be -3 + (-30)\/(-6) + (-6)\/2. Let w be c(a). Calculate the greatest common divisor of w and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p - 23 + 46 = -19. Let m = 4 + 1. Solve 0 = -n + m*h - 22, -2*n = p*n - 5*h + 30 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169.5 - -170. Let t = 919148.9 + -919148.3999973. Let q = t - z. Round q to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5292 is divided by 1759?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-63)*(-3)\/4. Let y be 4\/(-24)*(-2 - 0). Which is the smallest value? (a) k (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a5ae9 + c6?\nAnswer: 4a5bc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -53, 0.3, 1\/5, 3, 0.\nAnswer: -53, 0, 1\/5, 0.3, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -11*y + 285600. Round y to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 2:29 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3057, 12367, 27913, 49695, 77713, 111967?\n\"Answer: 3118*u**2 - 44*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38\/55 + 6\/55. Determine f so that -w*f + 4\/5 + 1\/5*f**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 16 - 16. Let h(d) = -3*d**2 - 8*d - 8. Let l(n) = -n**2 - 3*n - 3. Let k(y) = -3*h(y) + 8*l(y). Determine k(u(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 141 + -143. Let x be (-3)\/(3\/(-20))*12\/112. Sort -0.1, x, i, 0.4.\nAnswer: i, -0.1, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 2736.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-12) + 202\/(-780). Let t = q + 162\/65. Factor 24\/5 - 6*c**2 - t*c - 9\/5*c**3.\nAnswer: -3*(c + 2)**2*(3*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 418 - 418.24. Let l = 0.44 + z. Which is greater: l or -141?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 9:51 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {v: 1, c: 2, f: 2, w: 1, t: 1, a: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489 + 192 = -3*o. Let l be 612\/o + 2\/(-11). Let h(y) = -y**3 + 7*y**2 - 7*y + 8. Let c be h(l). Solve -c*p - p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1628, 5426, 9224, 13022, 16820?\n\"Answer: 3798*o - 2170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 22626.\nAnswer: 452.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/4)\/((-3)\/(-1044)). Suppose -u = -4*u + i. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6075.744 kilometers?\nAnswer: 6075744000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -92503, -91841, -91179?\n\"Answer: 662*q - 93165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, z: 9}. What is prob of picking 2 o and 1 z?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -62, -124, -238, -422, -694, -1072?\nAnswer: -1574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 27. Suppose -5*f - 568 = -4*u - 0*f, -u + 143 = -f. Let p = u - -62. What is the greatest common divisor of p and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (-17 - 319\/44).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-26) + ((-19044)\/936 - -27). What is the biggest value in o, 0.05, -7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 30 - 5*s)*(-2 - 1 + 0)*(0*s - 4*s + 2*s).\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*v**2 - 3*v**2 + 9*v**2 - 15*v**2 to the form d*v**2 + q + x*v and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 8 - 30 + 4*t**2 + 13 + 8 - 15*t**3 to the form i + s*t**2 + h*t + l*t**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, z: 5, s: 1, k: 1}. What is prob of picking 2 n and 1 s?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 o when three letters picked without replacement from {n: 2, u: 4, j: 3, o: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n - 4 + 30*n + 2*n**2 - 23*n in the form w + u*n**2 + z*n and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 11*r**2 - 20*r - 14. Let t be z(-9). Suppose 3*i - 15 = 33*o - 32*o, 0 = 4*o + t*i + 12. Let a = -6 - -10. Put 5, o, a in ascending order.\nAnswer: o, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**4\/16 + z**3\/3 + z**2\/2 + 8*z. Determine u so that o(u) = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26915953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*p**4 - 68*p**4 - 4*p**3 + 2*p**5 + 91*p - 15*p**2 + 12*p**2 + 4*p**3 wrt p.\nAnswer: 120*p**2 + 216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6352607?\nAnswer: 6352607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) -0.6 (c) 184327 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -367, -1513, -3439, -6157, -9679, -14017, -19183, -25189?\nAnswer: -32047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Let i(j) = -j**3 + 3*j**2 + j - 1. What is the units digit of i(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 1. Let n(i) = 2*i**3 + i**2 - 4*i - 6. Calculate -4*k(w) - n(w).\nAnswer: -2*w**3 - w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/6 in 2\/5, 48, 7, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-3692529076322\nAnswer: -3692529076322.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence naaa when four letters picked without replacement from aaaaanaanaa.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 216 divided by 7011\nAnswer: 24\/779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*((-10)\/(-6))\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 313240987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 16) in base 13?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 11*n**2 - 32*n + 380. Calculate o(9).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 34\/5 of a gram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 1, h: 1, d: 2, t: 2, r: 2}. What is prob of sequence hor?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 2*d + 2 + 4, 0 = 4*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 348 + -353. What is the nearest to -2 in -4, 2\/23, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231439992 divided by -84\nAnswer: -2755238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h + 2*l, -5*h = -3*l + 25. Let a(b) = -9*b - 39. Let y be a(-5). What are the prime factors of (-51)\/h*8\/y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -398 * 129.081.\nAnswer: -51374.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 151612 and 626748?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from {r: 1, q: 3, a: 1, k: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -0.2 (c) 1766 (d) 3\/2 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1032301331 (base 4) to base 3.\nAnswer: 121101122022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 81 + -23 + -36 + (-8 - (-2 - -2))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2*d*(d\/d**(-2\/25))\/d)**(-12\/7)*((d*d**(-2)*d)\/(d*d**(1\/4)))\/((d**7\/d)\/(d**(-6)*d)) assuming d is positive.\nAnswer: d**(-1753\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 16 + 10 = -2*p, -2*p = 5*t - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 - -88. Let f(t) = -9*t**2 - 17*t**2 + 29*t**o. Let b(y) = 50*y**2. What is f(b(s))?\nAnswer: 7500*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1062725.\nAnswer: 5, 42509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -337 - -339. Suppose -5*z = -65*i + 67*i - 37, 0 = a*z + 2. What is the greatest common divisor of i and 483?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -356 + -18?\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -37083 (base 9) to base 16\nAnswer: -611d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 14*i**3 - i**2 - 4*i + 15. Let d be g(-3). Suppose -2*l = -6*l + d. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*q**2 + 1112*q - 2*q**3 - 371*q - 367*q - 372*q + 101*q**2 + 3789 wrt q?\nAnswer: -6*q**2 + 130*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/25*70\/245.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 6*a - 70. Suppose -19*n = -a*n - 90. Which is smaller: n or 20?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 0, 7, 16, 27?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256 and 5930896.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 23*f**3 - 7*f**2 + 9*f + 7. Let t = -365 + 358. Let l(i) = 12*i**3 - 4*i**2 + 5*i + 4. Determine t*l(b) + 4*r(b).\nAnswer: 8*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 + 14*u\/11 + 16\/11.\nAnswer: -2*(u - 8)*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 3, 5, -47, 0.3, 71, 0.1 in descending order.\nAnswer: 71, 5, 3, 4\/3, 0.3, 0.1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**4\/24 + 2*i**3\/3 + 3*i**2. Let l = 1 - -4. Is 9 a factor of h(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 716 - -3?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*a + 9*a. Solve a*d = 2*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1088) - (-2*sqrt(1088)*2 + sqrt(1088)))*-2)**2.\nAnswer: 256*sqrt(17) + 69636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 22312.4 milliseconds?\nAnswer: 22312400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 63*a + 15. Give c(-3).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.17 - 0.27. Which is the nearest to o? (a) 2\/3 (b) -1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uioih. What is prob of sequence hi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000300816121 rounded to 5 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 3 - 2)\/1. Suppose p = -2*k - 2 + 26. Calculate the lowest common multiple of k and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 4. Suppose 0 = -3*n - 3 - 42. Let l = -10 - n. What are the prime factors of x(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4 + 1. Let i = 3 - o. Let v(d) = d**2 - 6*d - 5. Calculate the remainder when 31 is divided by v(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262890.\nAnswer: 2, 3, 5, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*q + 20 = 0, -q - 2*q - 28 = -4*c. Suppose 5*t - c*t - 3*k - 10 = 0, -t - k + 14 = 0. Suppose 0 = s - t - 4. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + j + 2. Let z be (-2)\/(-5)*90\/9. Let v(s) be the third derivative of s**5\/20 + s**4\/24 + s**3\/2 + 6*s**2. Give z*v(x) - 5*p(x).\nAnswer: 2*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7004.1 and -11.6.\nAnswer: -81247.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 10 - (-8 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 205024136 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 58341.17 hours in milliseconds?\nAnswer: 210028212000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqjwwrvwjjjwwrrw. Give prob of picking 2 j, 1 q, and 1 v.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -45 - (19 - (115 + -65))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (41100\/(-180))\/(2\/(-54))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -398264*l**5 - 22*l**2 + 444*l wrt l?\nAnswer: -23895840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 5 - (-12 - -1 - -36)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2 - 6*i - 4. Let y(u) = -3 + 5*u**2 + 8 + 5*u - 7*u**2. Let d(o) = -5*k(o) - 6*y(o). Find the first derivative of d(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 39366708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16032 divided by -167?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 196466823 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39.7 + -40. Let m = y + 0.2. Let n = -0.44 - -0.04. Put 0.5, n, m in descending order.\nAnswer: 0.5, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -14 + -1 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -3, -110, -2, 4?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 40. Let t = -19\/4 + 255\/52. Which is the smallest value? (a) 1 (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/5, 29, 2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/6)*k)**6\/(k\/(((k*((k**(-4\/3)*k)\/k)\/k)\/k)\/k*k))**32 assuming k is positive.\nAnswer: k**(-299\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625 - 324 = 121*m + 8126 for m.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t = 142. Is 36 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 3688*a + 7380*a - 72 + 35 - 3683*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5236681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*v = -85*v - 58539. List the prime factors of v.\nAnswer: 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**5\/30 + 27*t**4\/4 - 233*t**3 - 328*t**2. What is the derivative of l(v) wrt v?\nAnswer: -4*v + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*p**2 + 11*p**2 - 6*p**2 + 10*p**2 + 5*p**2.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 110, -5 in increasing order.\nAnswer: -29, -5, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 740\/(-385) - 4\/(-14). Let v(u) = 3*u - 29. Let i be v(9). Which is bigger: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**2 - 7490392*q + 37451860 = 0. Calculate q.\nAnswer: 5, 1872593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 - -68. Sort -1, -4, v in ascending order.\nAnswer: -4, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 s, and 1 g when four letters picked without replacement from segttttsvevtset.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 - -6 - (1 - -1). Let o be -20*(4 + v - -1). Let w be (21\/(-15))\/(4\/o). Calculate the greatest common factor of w and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m**3 + 0*m**3 - 4*m**3)*(0*m - 3*m + m) - 4 + 2*m**4 + 4 - 31*m**4 + 29*m**4 - 24*m**4.\nAnswer: -28*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 17. Suppose -c*u + 0*u = -50. Differentiate -8*x**4 - 6*x**4 + u*x**4 + 48*x**4 - 27 with respect to x.\nAnswer: 176*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -187 + 190. Suppose -c + 913 = -s*o - 483, 0 = -o - 2. List the prime factors of c.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.8 + 1.03. Let y = 60691.22919 + -60692. Let z = y - t. What is z rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 16 - 59 = 27 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 516617503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9086130847?\nAnswer: 19, 1039, 460267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/(-285))\/(39\/2223)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31 + -485?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 404.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 4*v + 4 = -4*y, -5*y + v = -11. Let k(t) be the second derivative of 0 - 1\/7*t**3 + 0*t**y + 3\/140*t**5 - 1\/28*t**4 - 11*t. Solve k(s) = 0 for s.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = l + 21. Solve -4*y = l + 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130 + 2. Find the second derivative of -15*n**4 + 11*n + x*n**2 - 132*n**2 wrt n.\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c = -2*x, 0 = 2*x - 4. Solve w - 1 = c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -20. Let v = 0.31 + -0.3. Let r = v + -0.41. Which is the biggest value? (a) m (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11, -41, -91, -161, -251, -361, -491?\n\"Answer: -10*k**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-50)\/135)\/5)\/(7\/420*5)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + -1 - (-2 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 0.020244473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 225056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y + 4 = 367 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 713\/(-4795) - 0 - (-8)\/56. Is -1 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2\/19 (b) -658 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + p + 4*p - 8, 16 = -4*g - 5*p. Find the common denominator of -115\/6 and g\/(-7) - (-2665)\/(-3990).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7972*j - 31881. Give x(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.006.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(99))**2 - sqrt(11))*1 + (((-1*sqrt(22))\/sqrt(2))**2 - 6*(sqrt(11) + sqrt(99))).\nAnswer: -583 - 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16133*u**5 - u**2 - 7788*u?\nAnswer: 967980*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -883*d + 2631*d - 847*d - 852*d.\nAnswer: 49*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 329, 521, 855, 1331?\nAnswer: 1949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146424560 is divided by 2964.\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8599 - -9074. What is the remainder when q is divided by 41?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -195 + 0*u**3 + 81*u - 6*u**4 + u**3 + u**2 + 5*u**4 - 79*u - 758 as t + m*u**2 + f*u + z*u**4 + c*u**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 4. Let t be x(4). What is the units digit of (1 + t)*119\/35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 1:33 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*y**2 + 535*y**2 - 330*y**2.\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146.579744 - 0.426356. Let l = -147 - y. Round l to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -191, -178, -151, -104, -31?\n\"Answer: c**3 + c**2 + 3*c - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*o - 60*o - 163*o - 43*o.\nAnswer: -137*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11420 (base 8) to base 7.\nAnswer: 20141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a**2 - 17*a**2 - 9*a**2 + 50*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(30)\/(sqrt(10) - sqrt(40)) + 3)**2.\nAnswer: -36*sqrt(3) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*u + 16, 3*i + 5*u - 5 = -13. Let a(o) = -7*o**2 + 38*o**2 - 3*o + 23*o**2 + i. Is a(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p**2 + 0*p + 4 - 4*p - 3*p**2. Suppose -3*a = -5*l + 13, a + 8 = 2*l + 3. Let u be c(l). Calculate the highest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83752.46051 to the nearest ten.\nAnswer: 83750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4*4\/18)\/((-48)\/(-36))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*u = 24, 2*w + 20 = -3*w + 3*u. Let y be -3 - ((-18)\/w + 2). Is 8 a factor of 2\/((-3)\/(y + -1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3676089512331 + 1.\nAnswer: 3676089512332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55 and 4.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3) - 14\/3. Let v(u) = -u - 1. Let m be v(l). Suppose -m*g + 5*g = 31. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g**2 - 2*g. Let w(i) = -14*i**2 + 5*i. Give 5*h(q) + 2*w(q).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27091704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 731988, 732000, 732016, 732036?\nAnswer: 732060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -275*m + 164. Give v(1).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 - 80. Suppose 5*j - 3*h - 69 = 0, y*j + 7 = j - 4*h. Suppose -g + 4*g = -3*l + 312, 4*l + 214 = 2*g. Calculate the highest common factor of j and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001 + 1?\nAnswer: -110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*u, 3*u = -2*a - 0*u + 1. Let d be (-3)\/1*(0 + a). Let j = 15 - 11. Solve 5*m = d*o + 5, 2*o - j = -4*m - o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(9\/(-4))*10\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9247 + 129365\/14. Let f = -10\/23447 - 56265\/142956359. Let z = f - 725183\/438984. What is the common denominator of z and r?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 32*l**2. Let g be 1*(2 - 4) + 16. Let m = g - 12. Let v(s) = 17*s**2. Let h(a) = -4*a**2. Let d(z) = m*v(z) + 9*h(z). Calculate d(b(j)).\nAnswer: -2048*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -12.0845?\nAnswer: 4.8338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/3)\/1*7\/(-21). Suppose -3*s + 7 = -a. Suppose 4*n - 52200008 = -s*h, 4*h - 4*n - 69600002 = -5*n. Round h to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 + 106653\nAnswer: 106692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 76, 71, 54, 19, -40, -129?\n\"Answer: -q**3 + 2*q + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 1100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*a - 58, k - 4*k = 5*a - 28. Suppose 4 + k = -3*y. Let o = y + 1. Which is bigger: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2545.442 hours in seconds?\nAnswer: 9163591.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 3193*v - 421609. Determine c(138).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6048\/(-448)*(-4)\/6*(-52)\/12.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -1 - (-57 - (-20 + -48))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 311329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from fjfjfj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/2464 and -83\/220?\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5619493*s**3 + 3691861*s - 2 wrt s?\nAnswer: -33716958*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from cwfccwcfqwacccaawcf?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -2*s**3\/3 + s + 13. Let b(l) = -50*l**2 - 48. Let n(i) = -b(i) - 6*g(i). Differentiate n(t) with respect to t.\nAnswer: 124*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409 a factor of 2374470753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 1. Suppose 5*a = 9*a - 8. Let y(v) = 3*v**2 - v**2 - 11*v**2 - 2. Let f(i) = a*m(i) + y(i). Let c(x) = 2*x**2. What is c(f(n))?\nAnswer: 98*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-23 - -40) - -40?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -328678276 times 0.1?\nAnswer: -32867827.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -183 + (-1 + 1 - -1). Let w = 69155\/22 + -3141. What is the common denominator of (-4)\/12 - v\/(-120) and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 5*q**4 - q**2\/2 - q + 247. Calculate c(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + 3*q**3 - q**3)*(3*q - 2*q - 2*q) - 3*q**4 + 0*q**4 + 2*q**4 + (-2*q + 2*q**2 + 2*q)*(-317*q + 317*q - 33*q**2).\nAnswer: -68*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4179542?\nAnswer: 2, 73, 28627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*o - 204, -42 = -27*o + 8*o + 18*o + z for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -20*i**4 + 58*i**3 + 1490*i**2 + 3356*i - 1584 = 0?\nAnswer: -9\/2, -4, 2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242333 is divided by 176?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 5. Let y be o(6). Let s be (3 - 21\/6)*-4. Let m(d) = -s - 2 + 3*d + 1 - 4*d**2. Let q(x) = -x**2 + x - 1. Determine y*m(c) - 5*q(c).\nAnswer: c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4, 2\/15, 67, 0.481 in descending order.\nAnswer: 67, 0.481, 0.3, 2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((38\/(-3))\/(-19))\/(62\/(-341) - (-1632)\/8613)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 1:06 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 18, 4*x - 18 = -67*d + 64*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d + 867 = -39*d + 24*d. Solve d*j + 60 = 36*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 1 - 9. Let g = 2 - j. Solve -3 = 2*p - g*u - 5, 3*p = 2*u + 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - 230?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35 and 13.\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 175 - 172. Solve -5*o + c*o = p + 7, 4*o + 8 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f - 6. Let y be o(-3). Suppose -34 = 2*l - y*l. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 20, -x - 5*y = -5 + 21. Let h(q) be the first derivative of -q**2\/2 - 17. Determine h(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8 - 41 - v**2 - 35 + 3*v**2 - 3*v**3 wrt v?\nAnswer: -9*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-1 + 66)\/((-90)\/(-18)) - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/7 - (-160)\/40\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19\/(1\/(7 + (-2 - -2))). Suppose p - c = -5*v + 5*p, 4*v - 2*p - 104 = 0. Let r = 56 + -46. Calculate the greatest common factor of v and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15822352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 + 229\/3. Let n be (-8)\/a + 2\/7. Let b = 0.1 + -4.1. What is the third biggest value in b, n, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 659645*j**2 - 2*j**4 - j**4 - 659467*j**2 - 800 wrt j?\nAnswer: -12*j**3 + 356*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 14*s - 8 - 5. Let w be 39\/(-117) + (158\/6 - -2). Let x be 16\/w*(-14)\/(-2). Let y(n) = 7*n + 6. What is x*t(d) + 9*y(d)?\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170814017 = -56*w + 65806871. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -246, 0.8, 2, -1?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 + w**2 - w**2 + (-6*w**2 + 3*w**2 + 0*w**2)*(1 + 3 - 2) - 2*w**2 + 0*w**2 + 3*w**2 + (0*w + w + 0*w)*(-26*w - 5*w + 19*w).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeomoopmoepooomooooo. What is prob of picking 3 m and 1 e?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 - 7 = -p, 0 = p - 2*s + 6. Suppose 0*r - 5*r + p*a + 65 = 0, 5*r = -a + 80. Let u = -13 + 28. Calculate the highest common factor of r and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56925.71 years to months.\nAnswer: 683108.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -19 + (-8 - (-32 - -10)). Suppose -4*j - 18 = 2*i, -j = -2*j + 4*i - 18. Sort -3, l, j in decreasing order.\nAnswer: -3, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 - s**2 - 2*s + 2*s**2 - 5*s - 5. Let g be q(-2). Suppose 125 = m - 5*j, g*m + 12*j - 765 = 9*j. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 16 + 6961*a + 7507*a + 30 - 3952*a + (2*a - a - 3*a)*(-2 - 2 + 6) - 4*a + 6*a - 3*a as t + q*a and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 5a?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 59 = 37. Let j(c) be the second derivative of c**4\/6 - 19*c**3\/6 - 99*c**2\/2 + 14*c + 3. Calculate the least common multiple of j(-4) and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 9*z + 2*z**3 - 2*z**2 + z + 2 + 4*z. Let p be b(2). Suppose 2*y - p*w - 284 = 0, -4*w = -3*y - 2*w + 406. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**3 + 20383219*d - 20383219*d.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*d - 14. Let o = 656 - 651. Find the third derivative of o*y**6 + 2*y**6 + y**2 - d*y**2 + y**6 wrt y.\nAnswer: 960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*c**3 + 2209*c**2 + 55301.\nAnswer: 21*c**2 + 4418*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5528520 to the nearest ten thousand.\nAnswer: -5530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 54867 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 13. What is i(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 688 by -86.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558641 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**4\/12 + 3*n**3 + 5*n**2\/2 - 9*n. Let a be q(18). Factor 0*i - 2\/9*i**3 - 4\/9*i**2 + 0 + 8\/9*i**4 + 2\/3*i**a.\nAnswer: 2*i**2*(i + 1)**2*(3*i - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2873.70616 rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 323*y**2 - 969*y**2 + 324*y**2 + 318*y**2. Let x(l) = -82*l + 2. Give x(w(p)).\nAnswer: 328*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1692)\/(-2820))\/(6\/(-20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 336088 or 336089?\nAnswer: 336088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002 + 1?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27*3\/((-9)\/(-7)). Let c = z - 36. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 212353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**3\/3 - 3*d**2\/2 + d. What is the remainder when 16 is divided by w(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2. Let z(k) be the third derivative of -7*k**4\/3 + 49*k**2 + 1. What is z(h(a))?\nAnswer: 112*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3\/(-1 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 787\/3 - 263. What is the second biggest value in 0.098, 0.5, u?\nAnswer: 0.098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 8 - 28 = 0. Find the third derivative of -9*f**2 + 5*f**2 - 9*f**g + 26*f**5 - 7*f**2 wrt f.\nAnswer: 1020*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116733670 by 11673367.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 2*x - l + 16 = 0, 0 = -2*x - 4*l - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -53490780 rounded to the nearest 1000000?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 19. Let h be u(12). Suppose 40 = -2*g + h*g. Solve 2*b + 2 + g = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v + 80. Give h(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (186\/(-1209))\/((-4)\/338)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*d + 7*d + 105. What is the derivative of -3*o + 198*o**3 + 286*o**4 - 198*o**3 - 64 + d*o wrt o?\nAnswer: 1144*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -481. Is 26 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326541, -326618, -326749, -326934, -327173, -327466, -327813?\nAnswer: -328214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 + 69 + 2*f + 63.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -83?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61 and 752.\nAnswer: -45872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*j + 3*j - 2*j)*(-j + j + 2*j) + 0 + 3*j**2 + 0 + j**2 + 2*j**2 - 5*j**2 as t*j + m*j**2 + i and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*a = -3, -2*a + 0*a = -3*h + 1. Let r be (-5)\/(-20) - (-15)\/(-100). Sort h, r, 1\/3 in decreasing order.\nAnswer: 1\/3, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 k, and 2 w when four letters picked without replacement from {a: 1, d: 2, w: 4, k: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 135 + 154?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*g - 114*g + 58*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108117150?\nAnswer: 2, 3, 5, 31, 23251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902084343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -5468575875.68 and 149.\nAnswer: -5468575726.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30804.095 + -30728. Let d = p + -76. Round d to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4692685)\/(-25))\/(10\/50) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58706634 divided by 6?\nAnswer: -9784439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19969 - 13961. What is the thousands digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.3, -0.4, 88181\/4, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 57*h**3 - 8*h**2 - 3*h - 2. Let j(c) = -38*c**3 + 5*c**2 + 2*c + 1. Calculate -8*j(n) - 5*y(n).\nAnswer: 19*n**3 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-30)*(-3)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 + 1948*y - 3880.\nAnswer: -4*(y - 485)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 513.7.\nAnswer: -2568.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5333 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/8 and 103\/46074?\nAnswer: 184296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 14*p**2 - 9*p + 18. What is r(-13)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.75789 years to centuries.\nAnswer: 0.7175789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35, -54, -111, -224, -411, -690?\n\"Answer: -3*x**3 - x**2 + 5*x - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2.1. Let u = -454 + 454. What is the nearest to u in z, 0.5, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 34 + 37 = 0. Factor -3*s**5 - 24*s**3 + 13*s**4 + 20*s + 3*s**5 - s**5 + 5*s - 10*s**2 - g*s**4.\nAnswer: -s*(s - 5)**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2722, 2766, 2894, 3148, 3570?\nAnswer: 4202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = -83 + 53 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 10 = u + 2*r, 4*u + 2*r = -4. Suppose -4*k + 2*l - 10763 = k, 4*l + 4 = u. Let m = k - -4140. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 5504170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789193724.\nAnswer: 2, 11, 17936221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 19 - 7*v + 4*v)*(-3*v**2 + 5*v**2 - 3*v**2).\nAnswer: v**3 + 19*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 433517921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + z**2 + z - 1. Let o(r) = -r**3 - 8*r**2 - 2*r - 11. Determine 3*i(g) + o(g).\nAnswer: 2*g**3 - 5*g**2 + g - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is cda5c (base 15) in base 2?\nAnswer: 10011111100110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2768200 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 5*i - 4, -617*n = -625*n + i + 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -123 and -128 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/9*(-381)\/127.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1447715 is divided by 53619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0706 and -5?\nAnswer: 4.9294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (4 + 0 - 2) - (-20 - -39)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 907180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2019*y + 2465. List the prime factors of w(-31).\nAnswer: 2, 11, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5\/8 - 231*d**4\/4 + 5175*d**3 - 512601*d**2\/4 + 8139723*d\/8.\nAnswer: -3*d*(d - 23)**3*(d + 223)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 2 - 3) + -5 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -3. Let y be 1 + 4*(-3)\/s. Let m(k) = -k + 8. Let r be m(6). Is y at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04959468 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f**2 + 38*f - 22357. Calculate x(-52).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1749*d = 32611 + 61835 for d.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*c + 46 + 54 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -10*h + 16. Let o(g) = 1. Let v(k) = -4*o(k) + r(k). Let t be v(6). Let a = t - -28. Is a at least -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, c: 5, e: 2}. What is prob of picking 1 e and 1 p?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19a9 (base 14) in base 2?\nAnswer: 1001000110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(684)*-2)*-2 - -5*(sqrt(684) + 2 + 1).\nAnswer: 23 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -946062086*d**2*k**3 - 661034695*d**2*k**2 wrt k?\nAnswer: -5676372516*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371*f - 1541616 = -419*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(7\/(-18)))\/((-102)\/(-13328)*28)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 932237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -l + 1767, -2*l + 5292 = l - 3*j. Let z = 4588 + -1137. Let m = l - z. What is m rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099193?\nAnswer: 23, 47791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 greater than or equal to -13\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 143616946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnbnnbnnnnnnnnn. What is prob of sequence nn?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5671 + 11178. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 867660 is divided by 289206?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1311\/7 - 187. Let v = 0.2 + -3.2. Which is the closest to o? (a) v (b) 7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 292*f**3 - 9*f**2 + 6*f + 52. Is n(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -20*s**2 + 2*s - 4. Let k(q) = q**2 + q - 2. What is -6*k(d) + 3*y(d)?\nAnswer: -66*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/12475660 and -73\/46.\nAnswer: 12475660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911937459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) - (sqrt(120) - -1*sqrt(120))*-3 - sqrt(120))\/sqrt(5))\/(-4*(sqrt(768)*-2 + sqrt(12) + sqrt(12))).\nAnswer: 3*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -50. What is the third derivative of 21*h**2 - i*h**3 - 5*h**2 - 4*h**3 + 3*h**3 wrt h?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 15. Solve -r - 2 = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.2, -1156, 0.5 in decreasing order.\nAnswer: 0.5, 1\/4, 0.2, -1156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1785*q + 1828*q - 258 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 2*i + 3*i. Let r be 0 + 21 + (-3631365)\/(-6993) - (-4)\/(-14). What is the highest common factor of r and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0725 or 286862?\nAnswer: -0.0725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*i - 78. Are i and 19 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/((-78)\/12))\/((465\/(-90))\/(-31))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 + 6*t**2 - 8*t + 7. Calculate h(5).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 67 - 91 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 33464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/17 (b) 3\/8573 (c) 0.1 (d) -0.1 (e) -0.03 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {z: 2, i: 11, p: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/86808 and -69\/159148.\nAnswer: 954888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1273639 (base 10) to base 4.\nAnswer: 10312330213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l**(-7)*l)\/l)\/l)\/l*l**(3\/5)*l*((l*l*((l*l\/(l**(-1\/3)\/l*l*l))\/l)\/l)\/l)**(-16))**(-2\/9))**16 assuming l is positive.\nAnswer: l**(6112\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b\/(b\/b**(1\/2)))*b)\/b*b))\/b**(-2\/15)*b\/(b*b**(7\/3)*b)*b\/(b**(4\/7)*b) assuming b is positive.\nAnswer: b**(-299\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3303.077 tonnes in kilograms?\nAnswer: 3303077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h + 334 = 0. Suppose 3*y = 4 + h. Does 29 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3398 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 18 = 10*w - 12*w, -5*w + v = -29 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-28)\/((-605910)\/15945)?\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -153229*p + 99. Suppose 341*w = 346*w - 155. Let q be d(w). Round q to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -128 (b) 902 (c) -4 (d) -3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1\/3, 2\/19, -33, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*x = 1 - 6, 5*x - 31 = -3*w. Let k(h) = -830*h**w + 838*h**2 + 0 + 0. Let m(c) = 5*c**2. What is m(k(u))?\nAnswer: 320*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 9) in base 2?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - l**2 - 3*l**2 - 31 + 10*l**2.\nAnswer: 6*l**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 653297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -132937 > -10\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 0. Let k(n) = n**3 + 1. Let t be k(-1). Suppose d + 8 = -3*a + f*d, t = -d + 4. Solve 9*b = a*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -195, -292, -389?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + 3 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1152243 (base 8) to base 12.\nAnswer: -133257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 - 53. Solve 3*u + 24 = 5*u + 4*y, 0 = -4*u - 2*y + f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-1278) + (-26486)\/(-2414).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699408.7kg in micrograms?\nAnswer: 699408700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -7)*1\/(-2). Suppose -f + 1 = 2*d, 0*f + 26 = 2*d - g*f. Solve d = -u + 4*a, u - 3*u - 6 = -a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6567 - -6787. Solve 62*z + 530 = n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**4\/4 - y**3\/2 + 427*y**2 + 3. Let u(i) = -4*i**2. What is u(b(p))?\nAnswer: -144*p**2 + 144*p - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 64 + 27 = 0. Let r(b) = -54 + g + b**2 - 14*b - 45. Let n be r(15). Let o(d) = -d**3 + 7*d**2 + d + 1. Give o(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 700471.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 31480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 597 = 9*g + 57. Let a = g + -55. Calculate the common denominator of 303\/(-54) + 15\/a and 27\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 - 219 = -4*o, -5*w + 1 = -10*o + 12*o - 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-54)*(-9)\/(-126)*40?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1 - 2 + 3 - 3 + 2 - 6 + 2 + (-2 + 2 + 2)*(0 - 3 + 4) + 3 - 1 - 1 + 1 + 0 + 0)*(2 - 2*x - 2).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljjjjjjwjjjjlljlo. Give prob of picking 3 l and 1 o.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1497*l - 168 - 731*l - 743*l in the form t*l + a and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -29, 0, -3, -7, -5 in decreasing order.\nAnswer: 5, 0, -3, -5, -7, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38629194*f**5 + 1151*f + 109.\nAnswer: -772583880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -378513 and 17?\nAnswer: -6434721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -412 (b) -1339 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 12:04 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12931 - 336283\/26. Calculate the common denominator of i and 137\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/16*-18 - 1. Let k = -1.3 - -1.23. Let o = k + -0.03. Which is the second smallest value? (a) o (b) 0.2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**2 - 83*x + 25. Let c be g(-21). Suppose -c*s + 258 = -126. Calculate the greatest common divisor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, x: 3, b: 6, a: 2}. What is prob of sequence xbxs?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (22 + -6)) + 25 + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 5*r + 17 = 0, 11 = 9*f - 7*f + 5*r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 1079*c**2\/2 - 91*c - 8292. Let v(p) = 24*p - 2. Give -6*f(g) + 273*v(g).\nAnswer: 78*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18 + 2*z**4 - 1647*z**2 + 2*z**3 + 1647*z**2 wrt z?\nAnswer: 8*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38004 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -5*h - 3*i, -3*h + 19 = -i + 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (0 - 1) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/351, -1\/3, -1147 in ascending order.\nAnswer: -1147, -1\/3, 2\/351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, 0.06, 0.93, -5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.375917 litres to millilitres.\nAnswer: 6375.917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 193, 136, -183, -770, -1631, -2772, -4199?\n\"Answer: -a**3 - 125*a**2 + 325*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 162322.1ml?\nAnswer: 162.3221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 26*x**5\/5 - 11*x - 33. What is the derivative of r(k) wrt k?\nAnswer: 104*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 242*f**5 + 6468*f**4 + 14332*f**3 - 368048*f**2 + 1109250*f - 972196 = 0?\nAnswer: -17, 2, 29\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (7 - 18) - 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**12*m*m*m**(-10)*m*m*(m*m**(-6\/11))\/m*m*m**(4\/7))**(7\/8) assuming m is positive.\nAnswer: m**(309\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/20)\/(3\/1260). Suppose -4*u - c = -7*u. Let z = -27 + 42. Calculate the greatest common factor of u and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1076, 894, 712, 530?\n\"Answer: -182*v + 1258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 121111, 242209, 363299, 484381, 605455, 726521?\n\"Answer: -4*m**2 + 121110*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 6 (c) 5 (d) -12\/61 (e) 0 (f) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0774*-118.\nAnswer: -9.1332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**3 - t**2 + 2*t - 1. Suppose -2*c + 4*y = 0, 3*c + 0 + 5 = y. Let u(j) = j**3 + j**2 - 1. Let k(m) = c*u(m) - h(m). Give k(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 165, 180, 225, 300, 405?\n\"Answer: 15*l**2 - 30*l + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) -0.1 (b) 2 (c) -8\/409\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**4 + 1686*v**3 + 240219*v**2 + 934092*v = 0.\nAnswer: -279, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 28*x + 4 + 14 + 17 + 19.\nAnswer: -28*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0 = -5. Suppose 5*c - 5 = 0, 0*p + b = p - 3*c. Suppose -2*j**2 - j - 3*j**4 + 2*j**p + 3*j**2 + j**3 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1) + 5 + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*z - 84*z**2 - 76*z**2 - 60*z**2 + 313*z**2 - 90*z**2.\nAnswer: 3*z**2 - 52*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9562? (a) -1 (b) 0.374 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25343011\/14 - -1807723. Let s = 2491 + v. What is the common denominator of -77\/10 and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(((c*c**(-30))\/c)\/c))\/(c*c*((c\/c**(-2\/43))\/c)\/c*c))**(-10) assuming c is positive.\nAnswer: c**(-12880\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 0, 5*c = -4*f - 0*f - 36. What are the prime factors of (f\/(-5 + 8))\/(6\/(-244))?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -6*q**3 + 5*q**2 - 8*q + 5. Let h be r(5). Let w be 3\/4 - 3*(-145)\/h. Suppose -5*p = 7 + 13. Which is the nearest to -1? (a) w (b) -2\/13 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + (2 + (-6*1*sqrt(468) - (-1 + sqrt(468)*-1 - sqrt(468)))*-1)*6)**2.\nAnswer: 1152*sqrt(13) + 269587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 2*i + 2*i + 18, 5*i = 4*m - 21. Let w(k) = k**2 - 8*k + 8. Let o be w(7). Let f be o\/(-3) - 179\/(-519). Which is bigger: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + j. Let i(n) = -4*n**2 - 3*n. Calculate i(c) - 6*y(c).\nAnswer: 2*c**2 - 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5663 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-15))\/(158\/(-1975) + 5472\/(-475))?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*b - 0. Suppose 0 = v + 3, 2*f - 7*f + b*v + 19 = 0. What is the third derivative of -j**5 - j**5 + 3*j**2 - 2*j**f wrt j?\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6913*m**2 - 17*m + 88. Let h be n(3). Round h to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1066 is divided by 292?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 + 6 + 7 + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -173 (c) 536\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-54)*(-24)\/16?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*q**4*y**2 + 19*q**4*y - 4*q**3*y - 15*q**2*y**2 - 63*y**2 wrt q?\nAnswer: -672*q*y**2 + 456*q*y - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36633 or -5018536\/137?\nAnswer: -5018536\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -10. Suppose 0 = k + 2 - b. Is -4\/59 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from {m: 1, a: 2, h: 1, o: 1, g: 1, t: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528279197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392 = -537*o + 545*o. Solve o*w = 28*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 29 = -5*t, 2*w + 4*t - 13 = 3*w. Suppose w = 3*q - 9. What is the remainder when q is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 549540 by -213.\nAnswer: -2580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26444?\nAnswer: 2, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57440575 to the nearest integer?\nAnswer: 7579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-174825102)\/21 + (-12)\/(-14). What is p rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2037886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 8 - 3\/2*t**2 + 3*t + 1\/6*t**3 + 1\/12*t**4. What is p(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 11:26 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3905 and 0.3?\nAnswer: -1171.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*i + 15, -4*k = 4*i + 2 + 2. Let q be (27\/12)\/(18\/24). Solve -2*u + q = -k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2 - (-22)\/10) + 91\/(-130))\/16.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -177 + -b80?\nAnswer: -1137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 57*r + 1190 = 0. What is the smallest common multiple of r and 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32302 and 20801?\nAnswer: 21674642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 7 + 4 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3822 + 22582 = -885*j + 598*j for j.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-28)\/12 - -2 - 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**5\/12 + o**4\/3 - 4*o**3\/3 - 1156*o**2. What is c(5)?\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1014 and 2439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/189 + (-7 + 1)*(-47)\/(-658)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*q = -48*q + 28 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - s + 6. Let j be l(0). Let w(g) = g - 23. Let f = -763 + 760. Let d(c) = -2*c + 42. Let u(o) = f*d(o) - 5*w(o). Determine u(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20, 24, 68?\n\"Answer: 44*s - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 2. Let o be f(3). Let p be (-2)\/(-21) - o - -1. Sort 2\/9, p, -2.\nAnswer: -2, p, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(11) + (sqrt(11) - (sqrt(275) + 0) - sqrt(11)) - -2*sqrt(44)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 570 - 82. Let a = y - 335. Suppose 0 = 9*o + a + 9. Which is smaller: -16 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*a + 2. Let w(f) be the third derivative of 7*f**4\/24 + f**3\/6 + 11*f**2. Calculate w(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2337221*p**5 + 2080947*p.\nAnswer: 46744420*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-48)*-3*-8)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 17 - (2 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 977 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 g(r) = -r**2 - 1. Let o(q) = -7*q + 4. Let z be o(1). Let j(x) = 3*x**2 + 5. Let b(y) = z*j(y) - 15*g(y). Let w(u) = -3*u. Give b(w(h)).\nAnswer: 54*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 11:40 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8634477?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27451808 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (7\/14)\/((-6)\/4)*9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012 (base 3) to base 14.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*i = -233*i + 25. Let c(a) = -i*a**2 + 7*a**2 - a + a. Let o(z) = 4*z - 3. Let g(y) = -4*y + 4. Let p(n) = -3*g(n) - 4*o(n). What is c(p(x))?\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y\/y**(-3\/5))\/y)*y*y)\/y*y*y**(-10\/9)\/y*y*y assuming y is positive.\nAnswer: y**(148\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15182.\nAnswer: 2, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**14*n*n*n*n**(-32)*n assuming n is positive.\nAnswer: n**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/5)\/(7\/35))\/((-16)\/(-24)*21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.028 + 0.028. Which is the nearest to h? (a) 0 (b) -0.5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-42)\/(-4)) + 13616\/107226)\/(4\/(-153))\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -7. Suppose 24*f - 15 = 19*f. Suppose 2*a - 45 = -a + 3*x, f*a = -4*x + 52. Calculate the remainder when a is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 5*q = 316. What is the remainder when q is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -37. Solve -r = -t*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002085965 to seven decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 2*n**2 + 0*n**3 - 5\/6*n**4 + 13 + 10*n. Let o(x) be the first derivative of q(x). Find the first derivative of o(i) wrt i.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -4*m + 13 + 11, -17*a = -13*a + 19*m - 87 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13.51457 and -9.\nAnswer: -22.51457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 126*t + 19*t**5 - 126*t + 5*t**5 + 19*t**2 - 19*t**2 + (4 - 4 - 1)*(2*t**5 - 2*t**5 - 2*t**5) - t**5 + 0*t**5 - 3*t**5.\nAnswer: 22*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3*h + h - 50, 2*w = -4*h - 4. Is 1461*6\/w*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.355 or 3900.2?\nAnswer: 3900.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53\/23 or 3?\nAnswer: 53\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z + 2. Let h be c(-3). Suppose 2*r - h = 20. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(342) - sqrt(342)*-3 - sqrt(342))*2)\/(sqrt(128) + sqrt(2) - sqrt(4)\/(sqrt(4)\/sqrt(2))).\nAnswer: 9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63657.\nAnswer: 3, 11, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 2*g - g)*(-2*g + g + 5*g) - g**2 - 8*g**2 - g**2 as u*g**2 + p*g + i and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, p: 1, y: 11}. Give prob of picking 1 y and 1 p.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9373815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 598349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 26620?\nAnswer: 53240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 44. Let k be p(30). Suppose -k*x + 0*x = -14. Suppose 0 = j + 4*o - 18 + 5, -3*o = -6. Solve -3*s - 2 = r - x, 0 = j*s - 5*r + 35 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from tcttxxzxttxxxzxz.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 1:47 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 33340 = -4*a, -4*a + 27467 + 5878 = -r. List the prime factors of ((-6)\/9 - a\/(-12))\/1.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 49. Find the third derivative of 4*v**2 + 40*v**5 - 81*v**o + 30*v**5 + v**2 wrt v.\nAnswer: -660*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 20 = -8*i + 13*i, -2*i - 8 = 0. Suppose 5*q + 10 = o, 14*v + 4*q + 46 = 16*v. What is the highest common divisor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0 + 2. Suppose -28 + 12 = -4*k. Suppose k = -5*u + u. Which is bigger: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = y - 3*y. Suppose 2*g + y*w = 3, 0 = 5*w + 2 + 13. What is the greatest common factor of 3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**2 - 17*w - 12. What is j(-6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0 - 36 = 0. Let w = -34950 + 34951. Which is the second smallest value? (a) f (b) -38 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**5\/3 + 8*x**4\/3 = 0 for x.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32400 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from rdpprprprqdqrprbrdry?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3 + 3. Sort 3\/7, 3, l in ascending order.\nAnswer: 3\/7, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**2 - 5*k - 8. Let x(q) = -4*q**2 - 4*q - 7. Calculate -6*s(c) + 7*x(c).\nAnswer: -4*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 271*l**3 - 7767*l**2 - 543*l + 4368 wrt l?\nAnswer: 1626*l - 15534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 146479 + -1028808\/7. Let q = -102397\/210 - f. Calculate the common denominator of -133\/36 and q.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 26*k**3 - k**2 - 7*k + 8. What is the thousands digit of w(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c**2 - 45*c - 10 = 0.\nAnswer: -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3857, -5215, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-12)*3*((-522)\/936)\/29.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 450 - -20?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6b9c - 2?\nAnswer: 6b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -51?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2313 (base 4) to base 8.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 27*v**3 + 13*v**2 + 46*v - 78. Let z(y) = 8*y**3 + 5*y**2 + 15*y - 26. Let x(c) = -3*u(c) + 10*z(c). Give x(12).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, -1272, 2, -19, -3?\nAnswer: -1272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 4. Let o(r) = r**3 + 8*r**2 - r - 8. Let j be o(h). Solve j = 4*f + 3*m + 35, -3*f = m + 25 - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -130, -145, -160, -175, -190?\n\"Answer: -15*h - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z - 4 = -12 + 8. Sort -6, 2, -3, z, 1.\nAnswer: -6, -3, z, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2022, 2034, 2054, 2088, 2142?\n\"Answer: r**3 - 2*r**2 + 11*r + 2012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -179, 0.3, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/228 and 21\/380?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 1013236?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 7 = 3*d - 3*f, -4*d - 3*f = -1. Let x(y) = -4*y**3 + 6*y**3 - 1 - y**3 + 4*y**3. Determine x(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*p + 28, 3*n - 106 - 22 = 4*p. Calculate the remainder when (-3 + 18\/10)\/(3669\/(-574810)) is divided by n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 7976*o - 4 + 4004*o + 3970*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**2 + 2. Let u(i) be the first derivative of -8*i**3\/3 + 5*i + 2. Let h = -13748 - -13753. What is h*s(k) - 2*u(k)?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-21)\/(1134\/36)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21633 - 21573. Suppose -5*x + 3*h + 348 = 0, -4*x + 300 = 2*h + h. What is the least common multiple of r and x?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1148, 1143, 1148, 1169, 1212, 1283?\nAnswer: 1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000376041 to six dps.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**7\/1260 + x**4\/8 - x**2. Let s(o) be the second derivative of c(o). Let w(h) = -5*h. Determine w(s(i)).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5405*v + 5405*v - 10811*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c - 2. Let z(o) = 3*o - 3 - 2*o + 4. Let p(y) = 8*y**3 + 0*y - 3*y**3 - 2*y**2 + 0*y - y. Let w be p(-1). Give w*z(r) - 3*u(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -909 + 908.4. What is the third biggest value in 5\/2, 8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527219 is divided by 83.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from ttttmm?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14030737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/(-9 - -4) + -6. Solve d = 4*h - 4*f + 12 + 12, 4*h + 18 = f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**6\/60 - 4*s**5\/5 - 29*s**4\/6 - 28*s**3\/3 - 29*s + 11. Factor v(d).\nAnswer: -d*(d + 2)**2*(d + 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -936, -965, -1010, -1071, -1148?\nAnswer: -1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 99*d + 76. Let q(v) = 5*v + 1. Let z(k) = -a(k) - q(k). Differentiate z(b) wrt b.\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**2 + 2*f - 1. Let x(z) be the second derivative of -z**3\/3 - z**2 + 3*z. Let w be x(1). What is q(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t**3 - 2*t**2 - 4*t + 13. Let d(v) = 7*v**3 + 2*v**2 + 4*v - 11. Determine 7*d(q) + 6*f(q).\nAnswer: q**3 + 2*q**2 + 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(19)*-1*2)*3.\nAnswer: -6*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.11*13.9.\nAnswer: -349.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 138, 254, 400, 570, 758, 958, 1164?\nAnswer: 1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -250*t + 240. Is p(-4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*m + 26*m + 3. Let l(t) = t**3 + 5*t**2 + t - 4. List the prime factors of l(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3523 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -7*m**4\/24 + 5*m**3\/6 - m**2. Differentiate v(p) wrt p.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 5:50 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -584.2 + 641. Let j = k - 56. Put -0.5, -3, j in decreasing order.\nAnswer: j, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -397*n**2 - 1941*n + 204. Calculate q(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**9\/540 - j**7\/168 + 8*j**4\/3 - 12*j. Let v(n) be the third derivative of m(n). Find the third derivative of v(s) wrt s.\nAnswer: -672*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a milligram in micrograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1497 divide 46061193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-25)*k*k\/((k*k*k**(-4)*k*k)\/k)*(k**(4\/3))**(1\/53) assuming k is positive.\nAnswer: k**(-3494\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*125\/(-50)*(-30)\/12?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-680)\/850)\/((-40)\/(-270)).\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1324248 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)\/(sqrt(7) + sqrt(21)\/sqrt(3)) - (-1*sqrt(567) - sqrt(567)))\/(sqrt(36)\/(sqrt(8)\/sqrt(2)*-6)).\nAnswer: -39*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2338)\/(-154) + (-4)\/22 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.55? (a) -108 (b) -4 (c) 3.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/23)\/(g\/g**29))**(12\/5))**(-3\/49) assuming g is positive.\nAnswer: g**(-23112\/5635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5175971\/66 + 78426. Find the common denominator of f and 107\/154.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/47 and ((-16)\/6*(-4)\/282)\/(28\/(-168))?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 17*i - 8. List the prime factors of d(27).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 9 - 5 - 2 + 2*u + 0*u. Suppose -19*a + 21*a = -3*y + 13, -y = 3*a - 2. Let w(h) = 3*h + 5. What is y*x(p) - 2*w(p)?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 40. Suppose 2*r = -0*i - m*i, 3*r - 4 = -i. Solve 2*j + 2*j + 30 = -r*n, 0 = -n + 3*j + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5712 equal to -5712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 + 102. What is the third derivative of -6*z**6 - 11*z**2 + 20*z**6 + g*z**6 wrt z?\nAnswer: 3000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -20242?\nAnswer: 20241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 1)\/(2\/(-2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**20\/i))**11 assuming i is positive.\nAnswer: i**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + (5 + 18 + -9 - -7)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p - p)*(1 - 3*p - 1)*(-2*p**2 + 0*p**2 + p**2).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44740597?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -78, 1\/3, -2, -4\/3, -1, 2\/21?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -5369700\nAnswer: -2684850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a**2 + a**2 + a**2)*(0 - 2 + 4)*(3*a + 3*a - 3*a) in the form p*a + o + r*a**3 + g*a**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 less than or equal to 0.88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1405*b**2 - 1946*b**4 - 3700*b + 703*b**2 - 2335*b**4 + 702*b**2 wrt b?\nAnswer: -51372*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*r + 34*r - 106*r + 33*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(432)*-2 + 4)**2 + (sqrt(12)\/sqrt(100)*-5*-1)**2.\nAnswer: -48*sqrt(3) + 1732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 16) in base 7?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -3303.\nAnswer: -4\/1101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (33 - 4)) + (375 - 404)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -22.5. Let u = 0.03 - 0.43. Sort u, b, 1.\nAnswer: b, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p**3 - 4*p**2 - 4*p - 4. Let b(m) = 26*m + 42 - 21*m - 37 + 6*m**3 + 5*m**2. Let c = 105 - 100. Give c*y(k) + 4*b(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - (0 + -1 + 1). Suppose 3*d - 4 - 14 = -3*t, -5*d + 18 = 2*t. Suppose y = -b - 52 + 468, 823 = d*b + w*y. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by 52.\nAnswer: -57\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 223 + -28?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*f - 13*f + 48. Which is the closest to 0.1? (a) -4 (b) 3\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r + 2. Let n(b) = -1. Let v be (2 - 3)\/(-1*(2 - 1)). Let l(f) = v*k(f) - n(f). What is the first derivative of l(d) wrt d?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -125*s**2 - 12*s - 8. Let q(a) = -250*a**2 - 26*a - 17. Let v(m) = -13*d(m) + 6*q(m). What is the derivative of v(f) wrt f?\nAnswer: 250*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -697*k**2*o + 5456807*k**2 - 25*k*o - 15*o wrt o?\nAnswer: -697*k**2 - 25*k - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173931 divided by -72.\nAnswer: 57977\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -108 - -108.3. Which is the second smallest value? (a) 0.2 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1312 divided by 328.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1*(-124)\/1736 - 293\/7?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3 + 4 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from rggaaqaagguarar.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.58275km to centimeters.\nAnswer: 3458275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 56 + 2753?\nAnswer: 27a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011101110110 + 11?\nAnswer: -110011101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 349*f**4 - 10*f**2 + 5*f + 181*f**4 + 163*f**4 to i + q*f**2 + a*f + h*f**3 + v*f**4 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 3993.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -286?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 255*o - 256*o + 0 - 4. Let y(a) = 5. Let k(g) = g**2 - 2*g + 4. Let i be k(0). Determine i*y(b) + 5*j(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010406 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-365)\/657*(-3)\/10*-1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.09 and -0.56.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29514646 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgpprppprurprprp. Give prob of sequence pug.\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/324 and 47\/210?\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + z - 15. Suppose b = -z*b + 18. Solve 0 = -b*t + 6*t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -9\/2, 0.1, 1\/19, -10, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.087 take away -0.09652027522?\nAnswer: -27.99047972478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -4.4\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 8*b**2 - b**3 + 8 + 3*b**4 - 576*b - 17 + 598*b as m*b**2 + u*b**4 + c + v*b**3 + r*b and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 367 + -362. Suppose -3*l = m*y - 2477, -2*l + 74 = -3*y + 1545. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -269000 times 8?\nAnswer: -2152000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -600268882?\nAnswer: -600268875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -779, -1784, -3181, -4964, -7127?\nAnswer: -9664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3952128 is divided by 1317277.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**(-3\/7))\/s*s))\/(s\/(s**(-2)\/s))*s**(-2\/5)*(s*(s*(s**(2\/7)\/s)\/s)\/s)\/s assuming s is positive.\nAnswer: s**(-199\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(2*sqrt(77)*1)\/(sqrt(63)\/sqrt(144)).\nAnswer: -40*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-2\/11))\/(y*y**3)*y**(-9)*y\/(y**(-5)*y))\/(((y\/(y\/(y*y**(-1\/3))))\/(y*y**3*y))\/(y**(2\/13)\/y*y**(-8))) assuming y is positive.\nAnswer: y**(-4432\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 151308 divided by -1868\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -13*k + 22. Determine x(5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10709 + 31034. What are the prime factors of v?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/5*(-194)\/(-291).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -0.3, -17690, 0.0227?\nAnswer: 0.0227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 15, g: 5}. What is prob of picking 2 g?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4728 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -0.3, 1\/362, -1\/189?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94\/(-4)*(-9420)\/(-2355).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-906 + 2438 - 205 - 121 + 2699 + 1186)*(0*u**2 + 0*u**2 + 4*u**2) to the form f*u + b*u**2 + y and give b.\nAnswer: 20364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2296305?\nAnswer: 3, 5, 11, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11840 is divided by 139?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 - 61 = -2*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((3 - (2 - -19)) + -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.68 - 2.9. Let k = -1.12 - a. Let y = -0.8864 - k. Round y to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 780840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*s**2 + 141*s**2 - 315*s**2 - 92*s**2 + 145*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 3591?\nAnswer: 3593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (7 - 32 - 0) - -5) + 7 + 1.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-3 - 14\/(-4)). Suppose -4*v = 4*s - 28, h*s + 3*v - 13 = -s. Solve 0 = -5*c - 5*n - 5, -2 = -s*n + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -121 - 3353103?\nAnswer: -3353224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bc (base 14) to base 6.\nAnswer: -1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 118623 divided by -39541?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -102, -111, -120, -129?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -2\/5, 0.3, 3, -75239, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 12*n**2. Let s(f) be the second derivative of 0 + 0*f**3 + 1\/6*f**4 + 4*f + 0*f**2. Give w(s(d)).\nAnswer: 48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -4. Let a(b) = b**3 - 4*b**2 + 3*b + 2. Let n be a(m). Let h = -1 - -4. Solve 0 = -5*x + 2*y - 6, -2*y + h = -n*x - y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - 0) + 307 + -8. Let w = r - 271. Solve m - 4*g = -m - w, -3*m + 11 = 5*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 36143 + 21510 + h - 2*h - 9*h**2.\nAnswer: -9*h**2 - h + 57653","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 27 in descending order.\nAnswer: 27, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.016 (b) 2\/7 (c) 673 (d) 1\/7 (e) -20\/3 (f) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 397155 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 872009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.64 (b) 5 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 9:09 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -17 (c) -0.6 (d) 1\/7 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/15)\/(1\/3). Let t be 3\/9 - (-45)\/(-54). Is s <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 3*o**2 + (-5*o + 2*o - o)*(-232*o - 311 + 311) as z*o**2 + b*o + d and give z.\nAnswer: 931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -18891816.31051 and 40.\nAnswer: -18891776.31051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2)*10 - -2. Is g at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 4:57 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/21480 and 89\/526260.\nAnswer: 1052520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.06, -0.05, -4, -115?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j**2 - 3*j + 3. Let a(k) = -6*k**2 + 4*k - 4. Suppose 5*y = 2*f + f, -5*f + 22 = -y. Let q(z) = y*x(z) + 2*a(z). List the prime factors of q(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 30 - q + 0*q - 37. Determine p(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4746 and 34.\nAnswer: 161364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z = 32*z + 41 - 145. Let m(v) = v**3 - 1. Let q(j) = 5*j**3 + 3*j**2 - j - 8. Let i(g) = -6*m(g) + q(g). Calculate i(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.4. Let y(z) = -z**2 - 2*z + 47. Let a be y(-8). What is the closest to a in 3, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(70) + sqrt(70) + (3*(sqrt(70)*-2 + sqrt(70)) - sqrt(70)) + sqrt(70) + sqrt(70))\/(4*sqrt(250)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3 - 22819255*u**2 + 130179542640600*u + 650898283684500 = 0. Calculate u.\nAnswer: -5, 11409630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22859 - -4320266\/189. What is the common denominator of 57\/7 and s?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -349 + 355. Solve p*l - 28 + 46 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1446705868 to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202012120 - -12222201?\nAnswer: -2112012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(5\/6)*w\/(w**3*w)*w*(w**(-1)\/w)**22 assuming w is positive.\nAnswer: w**(-271\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179 - -188. Solve -2*v - o = 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147 - -354. Let z = 423 - f. Is z a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 - -1.2. Let w = d - 2. Let o be (1\/(-1)*3)\/7. Sort o, w, 0.\nAnswer: o, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(162) + 1 - sqrt(162)) + 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -5. Let s = 5\/43 - -28\/129. Which is the nearest to -2? (a) s (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1584) + 3 - 3*((-3 + sqrt(1584))**2 + sqrt(1584)))*-3*1*3.\nAnswer: -1728*sqrt(11) + 43002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2933606.9 or 2\/9?\nAnswer: 2933606.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 12:07 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2177\/(-622))\/(7\/(-20))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1.3. Let a = 0.5 - -0.7. Let c = -4.2 + a. What is the closest to -1 in q, c, 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -35. Suppose -n - h*n = -3*f + 11, -3*f - 5*n = -61. Differentiate 26*s**2 - f*s**2 + 21 - 1 wrt s.\nAnswer: 28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*p - 5*p. Let d = 1 - p. Suppose 3*v - 6 = 0, w - d*v = 2 + 8. Solve -4*a = -0*a - w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(153))*-5*-5 + -5 + -3*(6*((sqrt(68) - (sqrt(68) + (sqrt(68) - sqrt(68)*2))) + sqrt(68)))\/((sqrt(36) - sqrt(576))\/sqrt(9)))**2.\nAnswer: 3480*sqrt(17) + 129073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 122, 124, 126, 128?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 8*r + 3. Let l(f) = -f**2 + f - 1. What is -4*l(b) - w(b)?\nAnswer: 3*b**2 - 12*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 132, 132, 130, 126, 120, 112?\n\"Answer: -m**2 + 3*m + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-7)\/7*(-6 - (-1650)\/245).\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 66\/(-2))*1. Suppose -f - k + 27 = 0, f + 0*k - q = k. Suppose 2*m - 9 = f. Solve -m = -8*d + 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**3\/2 - 60*l**2 = 0?\nAnswer: 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 10*b. Let v(c) = c**2 - 10*c. Let i(z) = -2*k(z) - 3*v(z). Let y be i(10). Let n = 12 - 7. Solve y = 3*p - 3*f + 24, p + n*f - 1 = 3*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - 57?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 121134224 (base 5) in base 15?\nAnswer: b34ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**2 - k - 4. Let l be p(-2). Let g be 3\/3 + 7*5\/7. What is the highest common factor of g and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216964 is divided by 296?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -20 + 2. Suppose -3*b - 1 = -5*h, 4*h - 4 = u*b + 2*h. Is 9 a factor of b\/(-6)*(47 - 20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 - 73.055. Let z = v - -0.069. Round z to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 x when three letters picked without replacement from xoxxvzvxjzzzvzzvo.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.46722 rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - 18.6. Let k = -13 - i. Which is smaller: 1\/4 or k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 573634535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/((-12)\/54)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 11 + 31 - 75*d + 0 + 160*d**2 - 64*d**3 - 40*d**2. Solve j(n) = 0 for n.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4311.61 rounded to the nearest ten?\nAnswer: -4310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1369, -2490, -3621, -4756, -5889, -7014, -8125?\nAnswer: -9216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4993 + 2164 = -17*d. Is -1 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 3*p, 4*x + 4*p - 77 = -49 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/21))**(-12))**24 assuming r is positive.\nAnswer: r**(192\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94524.\nAnswer: 2, 3, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/1*(72\/18)\/(-48).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7\/5, 2, -583\/13, -1 in decreasing order.\nAnswer: 2, 1, -1, -7\/5, -583\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-2\/5)*i*i*i**17)\/(i**8*(i\/(i*((i*i**(-2\/29)*i)\/i)\/i*i))\/i))**(-21) assuming i is positive.\nAnswer: i**(-44247\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3.6. Let s(l) = 3*l - 7. Let z be s(5). Let q = -11 + z. Which is the nearest to 0.2? (a) -1 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwllcwwltcwlclwtlcc. What is prob of sequence tcwt?\nAnswer: 25\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 11:00 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-9))\/((-36)\/(-216)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32315404 is divided by 69?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6255 + -3033. Suppose -134*y + m = -116*y. Calculate the remainder when y is divided by (-2 - (-19)\/2)*6.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.121 and -206411.66.\nAnswer: -206411.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, 1, -18928, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(396) + 5 - sqrt(396))**2 + -4.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8 = -3*d, -5*d - 3*r + 26 = 38. Let m(l) = 17 + l - 3*l + 8*l. Calculate the remainder when 65 is divided by m(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 385*v**4 - 2009*v - 1725. Differentiate m(b) wrt b.\nAnswer: 4620*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -16*r + 11*r + 7*r - 17 + 2*r. Let t(w) = -5*w + 20. Let m(f) = -6*s(f) - 5*t(f). Suppose 0 = -3*n - 2*n + 30. Determine m(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/54 + 86\/(-18). Let k(v) be the second derivative of v**3 - 2*v + 3*v**2 + 1\/12*v**4 + 0. What is k(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 1. Let g(v) = -175*v**2 - 15*v + 67. Let s(i) = -g(i) - 4*z(i). Is s(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25580, -51177, -76802, -102461, -128160?\n\"Answer: -t**3 - 8*t**2 - 25566*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.004 less than or equal to 328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, b: 7}. Give prob of sequence btb.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 0*w - w - 5 = 0, 0 = -f - 2*w - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -1\/6*u**3 + 7\/3*u**4 + 0 + 11\/2*u**2 + 12*u. What is the tens digit of y(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 6738.55485?\nAnswer: -6734.55485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/255884 and -55\/18886.\nAnswer: 34032572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5489471.\nAnswer: 13, 422267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61911758.\nAnswer: 2, 30955879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 0.3 (c) -0.2 (d) -12 (e) 4\/47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3.9. Let d = -2822 + 2822. What is the nearest to d in 0.2, p, 0.11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 9*b**2 - 40*b - 5. Determine w(12).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -232, 3 in decreasing order.\nAnswer: 3, 2, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 67*z - 250. Calculate p(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-145)\/175 - 3\/(-7)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1 (b) -1 (c) -1180 (d) 4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 55*m**2 - 45*m + 45. Let s(u) be the second derivative of -5*u**4\/12 + 2*u**3\/3 - 2*u**2 + 15*u. Calculate 45*s(n) + 4*t(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/39 + (-115)\/(-520)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 3. Let a(j) be the first derivative of j**2 + 2 - 5*j + 1\/4*j**g + 5\/3*j**3. Give a(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10599, 10604, 10611, 10620, 10631, 10644?\n\"Answer: j**2 + 2*j + 10596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5*t - 1 = -2*q, 0 = 5*t + 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/9 + -2)\/((-8)\/(-144)). Solve -5 = h - 3*l + 8, -i = -4*l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6950562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -980*a + 44. Let n(h) = 490*h - 24. Let i(c) = 11*n(c) + 6*u(c). Let s(p) = -4*p**2. Determine s(i(q)).\nAnswer: -960400*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 22*t - 45. Let x be m(24). Find the first derivative of 53*o**x + 23 - 23*o**3 - 209*o**4 - 217 - 30*o**3 wrt o.\nAnswer: -836*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 41 = 5*q, 119*q - 6 = 2*u + 124*q for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723538690.\nAnswer: 2, 5, 7, 29, 61, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9748*l**2 - 15*l + 129 wrt l.\nAnswer: 19496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 157035 divided by 52345\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 405 and 3402495.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + -7. Let p = n - -6. Let g = -14.9987 - p. Round g to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42a + -1bc12?\nAnswer: -1c23c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116*o - 29*o - 36*o)*(6 - 6 + 7*o**3).\nAnswer: 357*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -375957*-4.4\nAnswer: 1654210.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -461, -683, -897, -1103?\nAnswer: -1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 16620 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y - 9. Let o(q) = 13*q**2 + 2*q - 2. Let m be o(1). Is s(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-5) - 216\/60)*-1. Let r be ((-3)\/54)\/((-1)\/h). Let y be 4\/6*(-3)\/7. Which is the second biggest value? (a) y (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -8642340.9?\nAnswer: -34569363.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -642.64 to the nearest ten.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136 + 199. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 481723039*f**3 + 24644*f**2 + 334*f + 2 wrt f.\nAnswer: 2890338234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**6\/3 + k**5\/4 - 10*k**4 + 50*k**3\/3 + 40*k**2 - 77*k. Factor z(w).\nAnswer: 5*(w - 2)**2*(w + 4)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 177 - 261. Let s = 95 + p. Suppose 0*m + m - s = 0. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (6 - (-13 - -11))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23975 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**30\/(z*z\/(z\/z**(-2\/9))*z))**29 assuming z is positive.\nAnswer: z**(7366\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -5 (b) -1 (c) -22\/7 (d) -1\/24 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 6*l - 24. Let s = -3 + 7. Suppose 5*t = -s + 64. Solve -3*c = -3*h + t, -3*c - 2*h = -4*h + l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -1\/12*n**5 + 0 - 1\/6*n**4 - 5*n**2 + 0*n - 1\/6*n**3 - 1\/120*n**6. Let j be 1*((-2 - 3) + 1). Determine g(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59617 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: Express (-5*f + 4*f - f)*(-7189*f + 44812*f + 4129*f + 25173*f) as r*f**2 + k + w*f and give r.\nAnswer: -133850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/71 in -31, 23, 0.5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/9 - 54190*r**2\/3 - 1097105792*r\/3 + 500702568248\/9.\nAnswer: -2*(r - 151)*(r + 40718)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15845597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*d - 2*d + 2*d)*(0 + 0 + 2*d**3)*(5 + 3 + 1 + 4*d).\nAnswer: 64*d**5 + 144*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -396 or -397?\nAnswer: -397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20940269 is divided by 390?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + 30*t**4 - 3*t**2)*(35*t + 34*t + 0*t).\nAnswer: 2070*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 146055004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*((-42)\/(-15) - 2). Suppose -t + 2 + 1 = 0. Suppose -14 + 38 = -t*p - 5*z, 3*p - z = -6. Put -5, p, q in descending order.\nAnswer: q, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -356847074054 minus 0.6?\nAnswer: -356847074054.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 88 = -0*k. Suppose 4*x - 7 = -5*h, h = -3*h + 5*x + k. Solve -20 = -2*o - 3*o + h*j, 0 = 3*j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/4)*c)**(-45))**(-21))**(-3\/2) assuming c is positive.\nAnswer: c**(-8505\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -63801, -63798, -63795, -63792, -63789?\n\"Answer: 3*i - 63804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 9*w**2 + 3*w + 17. Is y(-12) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 23*a**6 - 258 + 0*a**4 + 0*a**5 + 0*a + 0*a**2 - 292\/3*a**3. What is the third derivative of s(p) wrt p?\nAnswer: 8280*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23, 18, 11, 2, -9, -22?\n\"Answer: -g**2 - 2*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 242\/(-33) + 0 + (8 - 1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((((sqrt(17) + 1*sqrt(17))*6 + (sqrt(51)\/(2*sqrt(3)) - sqrt(17)) + sqrt(17))*2)**2 + -3 + (sqrt(51)\/sqrt(3))**2 + sqrt(17) + sqrt(17)*2*2).\nAnswer: -53195 - 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1 + 6*v**3 - 5*v + 2*v - 2*v**2 + 4. Let w be l(2). Round w to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 66 = -u. Suppose -149 = -2*c - 39. Let x = c + u. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(242))**2 - sqrt(242)) + (sqrt(2) - sqrt(2)*5*1))*-3.\nAnswer: -11616 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - 200046?\nAnswer: -200065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 28388453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 4*t**2 - 11*t + 9. Let h be f(-6). Suppose s + s = h*d - 160, -5*d + 275 = -5*s. List the prime factors of 0 - d\/3*78\/(-5).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31973, -31975, -31979, -31985, -31993, -32003?\n\"Answer: -a**2 + a - 31973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3317 + 5980. Let n = h + -10737\/4. Calculate the common denominator of n and -9\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 2*j**5\/35 + j**4\/7 - 10*j**3\/21 - 6*j**2\/7 - 49. Suppose a(o) = 0. What is o?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**7\/2520 - a**6\/90 - a**5\/30 + a**4\/2 + 12*a. Let h(y) be the third derivative of i(y). Give h(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 22 (b) -1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 4*t - 4*t)*(-11 - 2 + 3) + 0*t**3 - 7*t**3 - t**2 + 6*t**3.\nAnswer: 19*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/25624346 and 57\/128121730.\nAnswer: 128121730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 4*v - 116 = -96, 15 = -2*d - 3*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 - u**2 + 1067*u - 1112*u + 0*u**2 as b*u + x*u**2 + n and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -504 - -487. Sort 0.05, 4, -0.5, l.\nAnswer: l, -0.5, 0.05, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -2801538?\nAnswer: -2801541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s + 19. Let v(f) = 8*f - 14. Calculate -5*a(k) - 6*v(k).\nAnswer: -8*k - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 28 = -5*r, -386*c + 388*c - 14 = -4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 60 = -5*y, -3*y + 5*y = 4*l - 56. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2462, 19240, 64480, 152318, 296890, 512332, 812780?\nAnswer: 1212370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2663146.\nAnswer: 2, 1331573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 397*b**2. Let y(k) = 6*k**2 - 435. Calculate y(f(q)).\nAnswer: 945654*q**4 - 435","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-583 + 583 + 69*p**2)*(-8*p**3 - p**3 - 4*p**3).\nAnswer: -897*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-8))\/(-1)*-3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 + 11*z**3 + 6*z**2 + z**3 + 9*z - 7*z.\nAnswer: 12*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2388?\nAnswer: 1\/2388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 497816, 995680, 1493604, 1991618, 2489752, 2988036, 3486500?\n\"Answer: 5*g**3 + 497829*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154840 and 270970.\nAnswer: 1083880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + sqrt(60)\/(sqrt(48)\/sqrt(4)) - sqrt(180)*6*-6) + 2.\nAnswer: 3 + 217*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.373 (b) 2\/9 (c) 0.1 (d) 79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8710000 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + 2)*(-10)\/135. Let y(w) = -w**2 - 4*w - 2. Let p be y(-3). Let i be p\/(14\/(-4)*1). Which is the closest to 0.1? (a) f (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 21*a - 87 - 251 = 0, a = -z - 17 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) -1\/4 (c) 2 (d) 30 (e) -790\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/66*(-59675)\/1550.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10722568 (base 9) to base 13.\nAnswer: 110605a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 - -58. Let p = -15 - b. Solve 0 = -0*w - p*w - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + 4 + 0) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/(-300) - (-4990)\/24. Suppose -217*p - 423 = -y*p. What is the second smallest value in -0.2, 0.3, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000153782 rounded to seven dps?\nAnswer: -0.0000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8179.\nAnswer: 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 2 + 2 + (1 - 1 + 2*r)*(-1 - 2 + 4) - 4*r + r + 4*r + 2*r + 4*r - 4*r + 2 - r - 2 - 7*r + 9*r + 11*r + (1 + 2 - 4)*(-r - 2*r + 5*r) + 2 - 2 + r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**8\/336 - r**7\/14 + 13*r**6\/40 - 37*r**5\/60 + r**4\/2 + 122*r**2. Solve q(s) = 0 for s.\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-71)\/6*2)\/((-76)\/12 + 3) and 119\/8856.\nAnswer: 44280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -884295\/8 <= -110537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72228642 and 2903664.\nAnswer: 577829136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 275084635, 550169279, 825253925, 1100338573?\n\"Answer: x**2 + 275084641*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + j**3 + 8 + 0*j**3 as x*j**3 + l + h*j + g*j**2 and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 13, -3, 3, -20938 in decreasing order.\nAnswer: 13, 3, 1, -3, -20938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1222 - 622. Let d = r + -572. Let j be (4 - 4\/2) + 124. What is the highest common divisor of j and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/84*3*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -55?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3750196.\nAnswer: 2, 23, 40763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1043, -2092, -3151, -4220, -5299, -6388?\nAnswer: -7487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 10:40 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5673127.0660636 + -106858.8649676. Let k = s + -5566288. Let r = 19.8 + k. Round r to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 38*f**2 - 19*f + 8. Let k(t) = 18*t**2 - 9*t + 3. What is 13*k(c) - 6*l(c)?\nAnswer: 6*c**2 - 3*c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6132a1 (base 13) to base 14\nAnswer: -42cbbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.318 - 6445.171?\nAnswer: -6442.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j - 450 = -56*j. Solve -2*t - 4*t - j = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -37*j + 1. Let r(q) = 3234*q - 88. Let t(i) = r(i) + 88*u(i). Let b(h) = 28*h + 1. Determine b(t(w)).\nAnswer: -616*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 + 133 - 50 + 691*a - 36 to d*a + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.769 + 1.82. Let c = t + -0.050999634. Round c to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5407663 (base 10) to base 15\nAnswer: -71c40d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3090 * -0.5.\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -0.4, -150614\/3, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*q**2 - 159180288*q + 703843446882304\/3.\nAnswer: (9*q - 26530048)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*(sqrt(1872) + sqrt(1872)*1) + (3 + sqrt(1872) - sqrt(1872) - sqrt(1872))*5 + 1)**2.\nAnswer: 360*sqrt(13) + 2097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000513578123 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37323*n**2 + 37919*n**2 - 75243*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v - 900 = -7*v + 11*v for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 + 3*n**4 + n**4 + (-n**3 + 2*n**3 + n**3)*(-3*n + 0*n + 2*n).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -9*q + 3*s - 11, 0 = q - 5*s - 11. Let w = 22 - 32. Let h = q - w. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - j**2 + 3*j + 4. Let f = -4630 + 4629. What is a(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 30*c + 34*c + 172 = 0, -188 = -28*d + 2*c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 17*g**2 - 23*g - 85. Give n(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -0.0438.\nAnswer: -1.0438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8\/4457 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 574686, 573385, 572084, 570783, 569482?\n\"Answer: -1301*g + 575987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 8*n**3\/3 + 15*n**2\/2 + 11*n. Let m = -91 - -97. List the prime factors of u(m).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5512 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -13*y**3 + 7*y**2 + 17*y - 6. Let h(m) = -m**3 + m**2 + m - 1. Let k(c) = -f(c) + 6*h(c). Find the second derivative of k(w) wrt w.\nAnswer: 42*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -10?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u + 25. Determine v(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 300*v - 1186. Let m be t(-4). Let i(u) = u**3 + 2*u**2 + 5*u + 3. Let g(n) = -n**3 - 3*n**2 - 4*n - 2. Determine m*i(l) - 3*g(l).\nAnswer: l**3 + 5*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 990159337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11119402117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15433984003 and 0.007.\nAnswer: -15433984002.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 43. Which is the nearest to -0.1? (a) 2\/17 (b) 2 (c) w (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5710799nm in micrometers?\nAnswer: 0.0005710799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-4 - (-5 - 0))) + (-12 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 4*a**2 + 16 + 13 - 98 + 24 + 14 as q + p*a + o*a**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4\/8 - 9*p**3\/2 + 38203*p**2\/4 + 9*p\/2 - 76405\/8 = 0.\nAnswer: -295, -1, 1, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7807 - -7806.985115. Round u to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 17 + 5 = 0. Let k = -24 - -17. Let y = 13 + k. Calculate the least common multiple of y and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118548954 is divided by 2186.\nAnswer: 2174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 58059*j - 1934. Is g(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 8*k + 4*k + 4*k. Let r(x) be the third derivative of -x**4\/12 - x**2. Calculate n(r(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06312 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 1:59 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -380 by 76.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -2256, 4 in decreasing order.\nAnswer: 4, 3, -2, -2256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*u - 4*j + 25, j - 13 = -2*u. Calculate the highest common divisor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 269*q + 540*q - 2094*q - 2091*q as p*q + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -70.236 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 4. Suppose 4*g - 8*g + 108 = 0. Calculate the remainder when g is divided by y(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - r. Let j(s) = -s. Determine j(b) - 2*u(b).\nAnswer: 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l - 11 + 11)*(l - 22 + 22 + l**2 + l**3).\nAnswer: -5*l**4 - 5*l**3 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = -4*d, -d + 2*d = a + 5. Let s = 325 - 324. Which is greater: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 + p**3 - p + 1 - 3*p**2. Let f be w(1). Let k = 0 - f. Are k and -1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*t - 183 + 463 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 + 42*v - 22. Let y be z(-22). Suppose u = 11 + y. What is the lowest common multiple of u and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*l**5\/21 + 18*l**4\/7 - 2*l**3\/3 = 0. Calculate l.\nAnswer: -7, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*h = 8*h - 318, 3*h = 5*r + 795. Let c = r + 447. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 - -79. What is the remainder when 10 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 9:28 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49159 divided by -49159.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7326*h - 7322*h - 15 = -5*d, -h = 2*d - 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (-4 + (1 - 16) + 5 + 22)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 12*t**2 - 1. Let b be c(-1). Solve -3*m = -3, -2*m + b = -3*o + 3*m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2 - 8298*t + 16584 = 0.\nAnswer: 2, 2764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j = -25*j. Solve j = x + 30 - 30 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:36 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) 1\/6 (b) 0.05 (c) 1\/2 (d) 1 (e) 1\/24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -8 - (-3 - -11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65842 is divided by 16267.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/3)\/(a**(-2\/9)*a)*(a*a**(-1\/2))**35 assuming a is positive.\nAnswer: a**(289\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -10.28, -3, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-30)*(-8)\/(-6). Which is the nearest to -0.1? (a) 1 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-4))\/((-7)\/(7\/1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.05 + 5. Let m = p - 2.95. Let j = m - -2.8. Which is the biggest value? (a) j (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 7 - 10) + -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7852245012 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-40 + (-6 - (4 + -10)) - -3)) + -7?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -9*y + 50. Suppose -1 + 3 = 2*g, y*g + 729 = 2*r. Suppose -4*l + 397 = 5*o, -2*o + 142 = 5*l - r. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*b + 0 + 1 = 0, -3*b = z. Find the third derivative of -231*k + 231*k - 2*k**2 + 6*k**z wrt k.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4413168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -43*g**2 + 167*g - 47. Let k(a) = -14*a**2 + 56*a - 16. Let t(j) = 8*k(j) - 3*y(j). What are the prime factors of t(-7)?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 n when three letters picked without replacement from {x: 1, i: 5, h: 1, g: 4, n: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1615*r - 10. Let d be j(6). Round d to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**7\/2520 - n**6\/120 + n**5\/20 - 2*n**2. Let i(p) be the third derivative of k(p). Let w = 6 + -2. Calculate i(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/25)\/(4\/(-15)). Let j(z) = -z**3 + 11*z**2 - 10*z - 7. Let d be j(10). Let c be 4\/(-14) + (115\/d)\/(-5). Sort u, c, -3.\nAnswer: -3, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 925080.7ms in nanoseconds?\nAnswer: 925080700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvzzvvv. Give prob of picking 2 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/938?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(8) - (sqrt(8) + 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 125520 (base 6) to base 3\nAnswer: 120222010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*12 - 2 - -2366. Round i to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d - 2205 = 71*d + 107*d - 450*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -891288 + 1251629. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14951.65 rounded to the nearest ten?\nAnswer: -14950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y - 33. Let t(m) = m. Let b(c) = -p(c) + 5*t(c). Let q be b(0). Calculate the highest common factor of q and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/85801524 and 9\/187876?\nAnswer: 1115419812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 take away 0.110085736?\nAnswer: -71.110085736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 43945 less than 65.9297?\nAnswer: -43879.0703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 - 0.76. Let w = b - -2.96. What is the closest to -0.1 in -5, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12a83 (base 11) in base 7?\nAnswer: -105145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 8. Suppose 5*c - 47 + 12 = 0. Calculate the remainder when c is divided by o(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -22. Let d = p + 15. Suppose -5*l + 62 = d*t, 2*t - 3*l = -0*l + 20. What is the remainder when t is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25561*l - 25544*l - 51. Let f(b) be the second derivative of b**2\/2 - b. Let g(n) = -5*n - 6. Let y(k) = 2*f(k) + g(k). Determine y(l).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -5*c**4\/6 + 37*c**2. Let j(r) = -13*r. What is -5*h(f) + 8*j(f)?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 5*a**2 - a**2 - 5*a**2 - a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-786)\/2096 + 843\/72)*3\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1844, -3706, -5568?\nAnswer: -7430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33899 - -0.5.\nAnswer: -33898.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/293328 and 61\/291.\nAnswer: 293328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7345746 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 381.\nAnswer: 3429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*q + 4*q = 1992 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8542 + 1025023\/120. Calculate the common denominator of d and -143\/270.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 3*j - 85, 19345*l - 227 = 19317*l + 5*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/(-9) + -4 - 2) + -1. Which is the smallest value? (a) -1\/4 (b) -0.2 (c) 26 (d) -1 (e) p\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-18)\/3)\/(-3))\/(144\/72)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 4*d + 2. Let b(j) be the third derivative of -j**4\/24 + 8*j**3\/3 + j**2. Does 2 divide b(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15e05 (base 16) in base 5?\nAnswer: -10331410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 417 in 2\/7, -2, 1\/4, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 15 = v. Suppose 4*b = -m + v*m + 8, b - 4*m = 16. Suppose 3*w - 16 = -5*x, 5*x + b*w = -2*w + 14. Solve 4*h + 2 = -x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1228487736 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k + 3*k - 4*k)*(-1 + 2 + 1) + k - 3 + 3 + 6 + 2*k - 6 + (-1 + 2 + 0)*(2*k + k - k) + 1 + k - 1 + 9*k + 0 + 0 to the form y + p*k and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 59. What is the remainder when s(12) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + p = -2, -4*g + 0*p = -p - 4. Suppose 17 = -j - 5*h, -4*j + g*j - 4*h - 4 = 0. What is the highest common factor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(-2*sqrt(242)))\/(-5*sqrt(448)*2).\nAnswer: sqrt(3)\/1760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77\/(-14)*6*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -1744.\nAnswer: -9\/872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (607\/(-10319))\/(((-4)\/(-374))\/(-2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2821 smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16244 + -9686. What are the prime factors of j?\nAnswer: 2, 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = u - 2, -5*i - 15*u + 10*u + 10 = 0. Sort i, 4, -1, -5.\nAnswer: -5, -1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158983685.15299087 + -158983690. Let j = k + -0.15299142. Let s = j + 5. What is s rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3345 - 12?\nAnswer: -3401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2690*h + 2693*h - 9*o - 42 = -228, 2*h = -4*o + 66 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 181 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*v - 0*v - 128, -2*v + 76 = -5*m. Is (210\/v)\/((-2)\/(-4)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 498, 910, 1306, 1680, 2026?\nAnswer: 2338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 400138, 400139, 400140, 400141, 400142, 400143?\n\"Answer: t + 400137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 - 15*k**2\/4 - 171*k\/2 - 154.\nAnswer: (k - 28)*(k + 2)*(k + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/7 - 432*k\/7 + 404.\nAnswer: 4*(k - 101)*(k - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2453 - -23520?\nAnswer: 21023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aazl. What is prob of sequence al?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548295*z**2 - 1258484*z**2 + 27523*z**2.\nAnswer: -1779256*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a day in minutes?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**18*y)\/(y\/((y*y\/y**(-12))\/y)) assuming y is positive.\nAnswer: y**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**5 + 1 - 1)*(2 + 2 - 3)*(-1 + 1 - 4) + d**5 + d**5 - 4*d**5.\nAnswer: -10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 26*t**2 + 6*t - 3. Let q(x) = 104*x**2 + 26*x - 13. Let a(p) = 6*q(p) - 26*w(p). Let l(g) = 2*g**2. Calculate l(a(r)).\nAnswer: 5408*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssgddgusjg. What is prob of sequence jds?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.048 + 9.248. Let c = -13 + s. Round c to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37227*w - 2372*w - 22819*w - 9220*w.\nAnswer: -71638*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 38 - 524. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 404062*q**3 + 514665*q**2 wrt q?\nAnswer: 2424372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 65\/2. What is the closest to -1 in -0.2, o, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*l = 3134*l - 19609 - 13853 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 3*d. Let g be y(2). Suppose 3*k + g = 8. Calculate the remainder when 7 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1664 + -1660. Which is the smallest value? (a) -4 (b) u (c) -24\/23 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 827*n - 823*n - 912 = 0. Calculate the greatest common divisor of n and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from enenejnqnzn?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 11:15 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2791030 to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -18. Suppose h = -4*o + 17 + 11. What is the greatest common factor of 77 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3*d + 6*c**3 - c**2*d + 369*c**2 - 74*c*d + 16*c - 66*d - 2 with respect to d.\nAnswer: 2*c**3 - c**2 - 74*c - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*o + 17*o**4 + 96*o**4 - 318*o**2 + 106*o**4 + 2*o**4 + 319*o**2 wrt o?\nAnswer: 5304*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-66)\/180 - (-2)\/10. Let o = 100 - 99.93. Let z = 0.03 + o. Which is the nearest to z? (a) -4\/7 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -20, -2, 2.6227?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1311\/2 - -656. Calculate the common denominator of 15\/1066 and y.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9706332 to the power of 1\/2, to the nearest integer?\nAnswer: 3115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 20896 - 6728 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -4*p. Suppose -f + 3*f - 68 = p. Let w = f + 8. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**3\/3 + 4*x**2 + x - 7225. Let p(f) = -9*f**3 + f**2 - 1. Let q be p(1). Give m(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*p = -426, -2*p = 3*o - 6*p - 433. Let x = o + -148. What is the second biggest value in -3, 0, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 399*l = 383, -182*m = -179*m + 2*l - 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 507\/5*s**2 - 78\/5*s**3 + 0 + 3\/5*s**4 + 0*s = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 12140.\nAnswer: -3\/12140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/14 - (-18)\/(-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 5*x**2 - 2*x**2 - x**2 + x**2 + 2*x**2 + 0*x**2 + 0*x**2 - 3*x**2 + (2 - 2 + 2*x)*(-5*x + 2*x + 2*x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(4 - 4010\/1002). Let m = n + -496. Let c(o) = o**2 + o - 1. Let j(r) = 4*r**2 + 13*r - 10. Let q(a) = -6*c(a) + j(a). Give q(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.030096429 + -0.0301. What is w rounded to seven decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -70.4 and -54.5.\nAnswer: 3836.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 5*i = -2*v + 1807, 0 = 5*i - 4*v + 1809. Let g = i - -804. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.178 + -129368399397?\nAnswer: -129368399396.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g - 3. Let w be x(2). Solve -4*f - 1 - w = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 560041641?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -63*f**2 + 23*f**2 + 14*f**2 + 13*f**2. Let d(t) = -24*t**2. Calculate n(d(w)).\nAnswer: -7488*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(15552\/1863))\/(((-6)\/(-2))\/(-9))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -5. Let v = j - -8. What is the nearest to 1 in v, -0.4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2)*(182*j + 27225 - 27225).\nAnswer: 546*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2920*t - 109652 - 80831 + 47403 = 0 for t.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471537099.\nAnswer: 3, 11, 23, 69029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89903, -89901, -89905, -89921, -89955?\nAnswer: -90013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32552 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 12*r + 15. Let q be w(-1). Suppose g + 0*h = 4*h - 12, -q*g - h = -16. Solve 22 = g*j - 0*j - 2*o, 3*j - o = 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Let w(d) be the first derivative of 3*d**2\/2 - 7. Calculate b(w(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101066 is divided by 25262.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -3982 and -3981 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/330*(6 + (-6450)\/30)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s - 2 + 0 - s**2 + 9 - 6*s. Let f be i(-8). What is the units digit of f\/10*(-68)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*sqrt(60)\/sqrt(3)*4)\/(6*(sqrt(100) - ((sqrt(100) - (sqrt(100) - -1*sqrt(100))) + sqrt(100)))) + 2.\nAnswer: 2*sqrt(5)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 22302.6264 milliseconds?\nAnswer: 0.00025813225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iliiibbiiloi?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (44 - 2)\/(-13 + (0 - -15)). Suppose x + 5 = -5*l - 4*x, 4*l = -3*x. Solve r = -l*r + 5*h + t, -5*h = 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 34*l**2 - 45 + 2*l**2.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q - 54. Let u be t(-18). Let a be (-2)\/(-4) - 1\/(-2)*3. Let r be ((-12)\/6)\/(a\/4). Put u, r, 3, 5 in descending order.\nAnswer: 5, 3, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/((-315)\/12) - (-7)\/(98\/72498) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2431420, -9725489, -21882264, -38901739, -60783908, -87528765, -119136304, -155606519?\nAnswer: -196939404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t - 1. Let m be o(-7). Suppose -m - 47 = -a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 108\/37, -9\/8, 51?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**5\/210 + 19*v**4\/21 - 11*v**3\/3 - 4*v**2 - 233*v. Suppose k(m) = 0. What is m?\nAnswer: -77, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3610939243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 290753753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.893717525 to two dps.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvvv. Give prob of sequence nvvv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/28891 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*w - 296, -2*w = -6*w + 5*z - 245. Let s be -12*1\/4*-2. Is 20 a factor of (w\/s)\/(1\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 less than or equal to -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {b: 4, x: 4, q: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4*v = -v - 2, -v = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 89348.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p = -4*y - 122, -150*y + 152*y + 7 = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 5 = -6*r. Let a(v) be the second derivative of -v**5\/30 + v**4\/24 - v**3\/6 - 5*v. Let t(u) be the second derivative of a(u). Give t(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -747b5 (base 13) to base 14.\nAnswer: -56794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-108)\/(-1008))\/((6\/7)\/1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -40 times 0.08\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 37*q**3 - 21*q**2 + 41*q - 3. Let s be l(2). Suppose -39 + s = 4*r. Calculate the remainder when 187 is divided by r.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052660?\nAnswer: 2, 5, 7, 73, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**0)**(-17))**(-1\/7) assuming r is positive.\nAnswer: r**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + k. Let l be 62\/22 - (3 - k). Let i = -3.1 - 0.9. What is the second biggest value in i, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 1. Suppose -v = -r + 3*j, 4*r + 10 = -r - j. Sort 1, -1\/6, r in increasing order.\nAnswer: r, -1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14930, -29970, -45120, -60380, -75750, -91230?\n\"Answer: -55*m**2 - 14875*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 3cc27?\nAnswer: -3cc25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43174909634 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1936 and 160204.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 33*u - 57*u + 5*u**2 + u**3 + 4 + 28*u. What is a(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -70698\nAnswer: 14139.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5920162337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.8, 2.9, 1\/3, 0.2, 1\/8, -38\/3?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (1*sqrt(132) - sqrt(132)))\/(sqrt(147)*1) - ((sqrt(396)*-2)\/sqrt(12))\/(sqrt(21)\/(sqrt(21)\/sqrt(3))).\nAnswer: 15*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 29.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {g: 2, p: 1, r: 1, k: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*f**3 + 2 - 2 - 2*f**3 - 2*f**3 + 5*f**3 + (-5*f + 2*f + 2*f)*(2*f**2 - 2*f**2 - 3*f**2) as l*f + p + r*f**3 + d*f**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 784646 to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*h + 104. Let k = h + -12. What is the least common multiple of k and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*s - 1 - 5*s - 4*s + 13*s in the form o + c*s and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9871, -84842, -288343, -684640, -1337999?\nAnswer: -2312686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(500) + -1) + sqrt(500))*4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, 0.9, -21327, 4.\nAnswer: -21327, -6\/11, 0.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t**3 - 68 + 5*t**3 - 15*t**2 + 15*t + 63.\nAnswer: 5*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*w = -29, 6 = -3*l + 5*w + 53. Let d = l - 32. Let h(z) = z**2 + 22*z + 27. Is 10 a factor of h(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y**2 - 12*y + 1199000. Let o be n(0). What is o rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 317122992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6407.24 meters?\nAnswer: 6.40724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13339 is divided by 952?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9440)\/(-128))\/(1\/4). Let c = a + -293. Solve -7 - 1 = c*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h - 194. Calculate y(49).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -102568642 or -102568637?\nAnswer: -102568637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 3 = 0, -4*i - 183 = -2*m - 187 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 0.256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 2*r - 18, -2*h = 19*r - 12*r + 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(7 + 99\/(-11))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 696 and 6181092.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 5) to base 3.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1427*w - 683*w - 706*w + 266 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1311.\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-148)\/333 + (-509)\/9. Let u(y) = 112*y**3 - 2*y**2 - 2*y - 1. Let g be u(-1). Let k = i - g. What is the greatest common divisor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*5 - 1\/1. Let f be ((-14)\/(-3))\/((-3542)\/(-3036)). Solve a + u = f*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 240*p - 168*p - 353 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 6*w + 4. Let s(t) = 6*t**2 - 30*t + 21. Let i(l) = -11*b(l) + 2*s(l). Let v(r) = r**2 + 7*r - 3. What is 5*i(n) - 4*v(n)?\nAnswer: n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4105887 to the nearest integer?\nAnswer: 2026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -240.58 + -8.02. Round z to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133 - -77. Suppose 11*h = 16*h - d. What is the remainder when h is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccc. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38352 - 38352.19197. Round b to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/3 (b) -261 (c) -2 (d) 0 (e) -0.5 (f) 5.49 (g) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/14538, -9, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1152904 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 299441400 divided by -99813800\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5201573 is divided by 371540.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 405099216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) - (-95)\/(-35). Is 35 - u - (-8)\/(-2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -15*d**3 + 11*d + 17. Let g(r) = -7*r**3 + 5*r + 8. Let w = 29 - 16. Let z(n) = w*g(n) - 6*t(n). What is the units digit of z(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4*c\/(c**(-6)*c))**(-24\/11)\/((c\/((c\/(c\/(c\/(c**(2\/7)*c))))\/c))\/c**(-2)*(c**0*c)**(-10)) assuming c is positive.\nAnswer: c**(-1240\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3734*x. Let g(r) = -31*r. What is g(i(n))?\nAnswer: -115754*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 + 91. What is the smallest common multiple of t and ((-3)\/(-3))\/(2\/22)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.81402 grams to micrograms.\nAnswer: 23814020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6181 - -6182. Let w be (-2)\/7*(-1)\/2. Which is the closest to -1? (a) m (b) w (c) 4 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, k: 1, w: 1, h: 6, n: 2, z: 3}. Give prob of picking 2 c and 2 h.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoy when three letters picked without replacement from {y: 9, o: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25801, -51640, -77503, -103402, -129349, -155356, -181435?\n\"Answer: -2*l**3 - 25825*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**3\/2 + 3*h\/2 + 11. What is m in u(m) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288946 is divided by 21616.\nAnswer: 7938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 38740000 to the nearest 1000000.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4179 * -0.0563\nAnswer: 235.2777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -250, 2, 20, 195 in ascending order.\nAnswer: -250, -4, -1, 2, 20, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -120351 (base 9) in base 12?\nAnswer: -35b24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/4 + -1 + (-294)\/196. Solve -q*k - 336 + 361 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1775*v**5 + 2521*v**4 + 1844675*v**2?\nAnswer: 106500*v**2 + 60504*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99236881 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 - 2*c**3)*(301 + 88 + 196)*(6 - 11 + 3).\nAnswer: 2340*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*q - 3096 + 731 = 2166 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25120 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -383.\nAnswer: 114.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -20. Suppose -n*r = -8 - 27. Solve z - g - 4 + 5 = 0, -r*g = -5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f - 5. Let a be n(1). Suppose a = 17*w + 9 - 1692. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17738124233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from jcjczdjzbz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20 = 0, i - 7 = -4*c + 14. Which is bigger: 5 or c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -924542094 plus 0.2?\nAnswer: -924542093.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 56d58?\nAnswer: -56d59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.2771 and 0.2331.\nAnswer: -0.29769201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 4 (b) 0.5 (c) 4\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45096244561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-11901)\/(-36) - -3)\/((-14)\/42). Let u = i - -1001. Suppose u*o**3 + 0*o**2 + 0*o + 0 = 0. What is o?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27*(10\/(-540)*-24)\/(-2*6\/(-36))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90785960488 + -0.5.\nAnswer: 90785960487.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2\/3 + 8701*c\/3 + 15771140\/3 = 0. Calculate c.\nAnswer: -1540, 10241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -153532 + 767662\/5. Factor 4 - b*c**2 + 18\/5*c.\nAnswer: -2*(c - 10)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 4*t**2 - t. Let o be (-4)\/(-26) + 268\/(-52). Suppose 2*s + 2*q - 16 - 8 = 0, s + 2*q - 15 = 0. Let y = s + o. Give g(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**5\/20 - u**4\/3 - 3*u**3\/2 + u**2\/2 + u. Suppose -9 + 3 = -k. What is the remainder when w(k) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*l + 76281 = -7190, 139150 = 5*x - 3*l. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 468\nAnswer: 28.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -10 - (3 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*h = -163*h + 1062 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/14*(-6)\/(-24) - 44\/(-32)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1606667, -3213329, -4819979, -6426617, -8033243, -9639857?\nAnswer: -11246459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*u, 4*x + 3*u + 12 = 190. Suppose 2*w - 2*z - 88 = 0, 2*w - x = w + 2*z. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 283550448 and 496296.\nAnswer: 850651344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 6*v**2 + 9*v - 42. Let s be l(6). Suppose -s*r = 2*r - 336. Calculate the lowest common multiple of 80 and r.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 4*a - a**3 + (-2*a**2 - 6*a**2 - 2*a**2)*(-2*a - 1 + 1) - 4*a**3 + a**3 + 4*a**3.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1444410622?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**2 - 879*d - 25. What are the prime factors of p(-57)?\nAnswer: 2, 18541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 13 = 5*n. Let r(h) be the second derivative of -h**4\/12 + h**3 - h**2\/2 + 4123*h. What is r(n)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*t - 9, 0*l - 2*l = 4*t - 24. Let q(x) = -8*x - 2. Let n be q(-10). Suppose 0 = -4*v + n + 18. What is the greatest common factor of v and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + (3*(-6*-3*2*sqrt(99) + 4) + -3)**2.\nAnswer: 5832*sqrt(11) + 1154819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -30*v. Let a(f) = -31*f. Give -2*a(z) + 3*u(z).\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 5157371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1 = 5. Let p be u\/(5\/((-30)\/(-4))). Let g(c) = 2*c**3 - 5*c**2 + 3*c + 1. Is 7 a factor of g(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14067857?\nAnswer: 17, 827521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42645 = -5*m - 407*j + 404*j, 3*m - 25553 = 5*j. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62099 is divided by 3102.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q - 18. What is the tens digit of v(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7577263 (base 9) in base 3?\nAnswer: 21122121022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3470 in 2\/5, 1\/9, 5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*h = 0, d = h - 36 + 52. What is the greatest common divisor of 230 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d - 1944. Let f(u) = -3*u**2 + u. Give f(x(j)).\nAnswer: -12*j**2 - 23330*j - 11339352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -324 + 319. Let i(z) = -2*z**2 - 7*z. Calculate i(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 43. Let s be j(-26). Let v be ((3228\/s)\/(-2))\/(6\/5400). Round v to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 263180200 - 263180199.859002711. Let y = r - 0.141. Round y to seven dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 12:31 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 5, -2, 1, 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -2.9. Let z = -0.6 - s. Let m = 2 + z. Which is the closest to 1? (a) 1 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 12.1069242 hours?\nAnswer: 0.072065025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 322605168 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(-6)*(-3)\/(-1)*5. What is the greatest common factor of b and 650?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/15)\/(r*r*(r\/(((r*r**(3\/4)*r*r*r)\/r)\/r*r))\/r))\/(r*r**(-2\/3)\/r)**(-5\/16))**(1\/20) assuming r is positive.\nAnswer: r**(169\/2400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1511 (base 7) in base 10?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.01 + -0.01. Let y = 0 - -2. Which is the third biggest value? (a) y (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 115322\/8943 and 14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*g - 20, -4*g = 3*m - 3*g + 16. Let o be m\/(64\/(-372)) + (-2)\/8. Calculate the greatest common factor of o and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3495 = -3*m, m = 5*g + 595 + 570. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -1)*(-93)\/(-372).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747\/2831 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22102101201 (base 3) in base 14?\nAnswer: -445ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*r + 82220 - 82220.\nAnswer: -228*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3\/3 - 40*x**2\/3 + 26*x\/3 + 676 = 0?\nAnswer: -6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.24428 + 0.04428. What is the smallest value in h, 1\/4, 1\/552?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 3 + 9. Let l be -4 + 4 + 0 + p. What is the units digit of (-1)\/(l\/9 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 32, 0.2, -0.1, -1, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176912678?\nAnswer: 2, 193, 458323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229, -485, -741?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 116358b (base 12) in base 11?\nAnswer: 19993a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(336)\/(sqrt(200) + sqrt(8)))\/sqrt(2)*3)\/((sqrt(7) + sqrt(448))*1 - (-2*sqrt(7)*-4 - sqrt(7)))*-6)**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/5 of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*x + 15 + 3 = 0, 5*o = -3*x. Let m = -123 - -122. Put m, 0.4, o, 4\/5 in ascending order.\nAnswer: m, 0.4, 4\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwthhwhwtww. Give prob of sequence wttw.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/148 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 0)*8\/3. Suppose -4*l + 24 = -8*b + 4*b, -l - 6 = 2*b. Suppose 0 = -3*r + h + 1, l*m - 5*r + 3 = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14866.33 meters to kilometers.\nAnswer: 14.86633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -4. Let j be (-22)\/(-4)*(k - -7). Let m be 1\/(-3) - (-134)\/6. Calculate the highest common divisor of j and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 94*o - 39)*(-4*o + 5*o + 2*o + (-3*o + 5*o - o)*(-1 + 2 + 1)).\nAnswer: -470*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(180) + -1 + -3 + ((sqrt(5) + 1)*3 - sqrt(35)\/(sqrt(7)*-1))**2.\nAnswer: 30*sqrt(5) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*q**2 - 61*q**2 + 50*q + 38*q**2)*(-131 - 101*q**2 + 131).\nAnswer: -404*q**4 - 5050*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2 + 4*n - 16. Let y be c(-7). Let m = y - -311. Let o = m - 110. Calculate the highest common divisor of o and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36473 - 6*h + 36473.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -670 in 5.3, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**2\/2 - 2*s + 2. Suppose q - 681 = 5*o - q, -3*o = -5*q + 420. Let d be 30\/o - 102\/27. Determine j(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 486739.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + s**2 - s. Let d(i) = -5*i**4 - 4*i**3 + 4*i**2 - 21*i. Let u(p) = d(p) - 4*h(p). Find the second derivative of u(a) wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10270*m**4 - 2*m - 171971 wrt m?\nAnswer: -41080*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*u**2 - 6*u + 3*u - 7*u - u wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/(-6))\/((-8)\/(-12)). Suppose 3*l - 44 + 2 = 0. Let m = l + z. What is the greatest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 420458329.\nAnswer: 2102291645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (9 + -17) - (6 - -18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1678.6 or -229?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 + 14 = 0, -2*x - 32 = -2*p. Suppose -2*i = i + p, -f + i = -712. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + -7575116?\nAnswer: -7575102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -241400 at most as big as -965597\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + (1 + -10 - 2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 291 - 4367\/15. Let a = 2 + -2.2. What is the nearest to 2 in 0.3, a, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2762)\/(-8)*(-4)\/(-2). Suppose 7*b - 3380 = 2*b. Let c = b - j. What is the common denominator of c and 59\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**7\/21 - 2*o**6\/15 - 3*o**5\/5 + 2*o**4\/3 + 13*o**3\/3 + 6*o**2 - 4*o - 5. Factor b(i).\nAnswer: 2*(i - 3)*(i - 2)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12095 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 11*i + 79. Let n be p(8). Let l = 93 - n. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338\/10 + 5\/25 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - 19 - (1 - 0) - (-26 + 17)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) - sqrt(204)\/(-1*sqrt(6)))\/sqrt(2).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t*x**2 + 8287*t + x**3 - 12*x**2 wrt x?\nAnswer: -2*t*x + 3*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-120)\/(-54))*2\/(-12)*(-10812)\/159.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -10 - (-1272)\/80 - (-2)\/20 and 166?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - m**2 + 2*m**2)*(-3 - 4*m**2 + 3) as y*m**2 + g*m**4 + l*m**3 + a + u*m and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 3. Let s be a*2*(-1 + -1). Solve -2 = -2*u - s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34679\/9 + -3847. What is the common denominator of 76\/3 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -923, -913, -919, -947, -1003, -1093?\nAnswer: -1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -268076*r**2 + 113581*r wrt r?\nAnswer: -536152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9, 2\/45, 2\/137?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzvzk. Give prob of picking 1 v and 1 z.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3406\/5 + 672. Let i = -1\/134026 + -5629045\/6299222. Calculate the common denominator of i and y.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -232 or -60\/91?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.99 and 2.08.\nAnswer: -2.0592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p - 32 + 11 + 12 + 109*p + 10 in the form m + w*p and give w.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55\/3 - 19. Let d = -2120\/91 + 162\/7. What is the biggest value in -0.5, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2961 = r, -4*k = -r + 2272 - 6227. Let h = -2 + k. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 36*v**2 + 10 - 14 in the form m*v + l + o*v**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12168.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxooox. Give prob of sequence xox.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 102 + 30311223*t - 30311223*t + 16*t**2 as n + h*t**2 + f*t and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27 (b) 0 (c) 2 (d) -0.5 (e) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1 (b) -46 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -252*l - 820. Is 35 a factor of h(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 2657993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)\/(j**7\/j))**(-12)\/(((j\/((j**(-1\/3)\/j)\/j))\/j)**(-25)\/(j**(-3)\/(j*j\/j**(-7)))) assuming j is positive.\nAnswer: j**(607\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8623428ug?\nAnswer: 0.0000008623428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 10. What is t(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -26*f**3 + 5*f**2 - 9*f + 5. Let r(h) = 13*h**3 - 2*h**2 + 4*h - 2. Calculate 9*r(o) + 4*x(o).\nAnswer: 13*o**3 + 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 774 and 10290.\nAnswer: 1327410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 5*x + 8. Let w be y(6). Suppose 0 = 2*u - 0*u - s + 6, -w*u = 5*s + 6. Is 15 a factor of (u - 18\/(-4))*32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c\/(c*c*c*c**29\/c*c))\/c*c)\/c)\/(c*c**(-2\/27)))\/((c\/c**(2\/3)*c)\/(c*c*(c**(-18)*c)\/c)))**(-42) assuming c is positive.\nAnswer: c**(18998\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/35? (a) 2\/11 (b) -1\/12 (c) 2\/5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**2\/5 - 23031*k\/5 + 114780 = 0 for k.\nAnswer: 25, 7652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 525*n**2 - 5*n - 1. Let g = 247 - 248. What is the hundreds digit of k(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 399 divide 9641209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12162898?\nAnswer: 2, 11, 552859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Let v be w\/(-5) - (-4)\/10. Let y be (-238)\/63 + (-4)\/18. Which is the second smallest value? (a) v (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(6*2\/8). Let f = -5.221 - 0.779. Which is the closest to -1\/4? (a) -2 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1315*t - 120 = 1335*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 820.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4574?\nAnswer: 2, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -2. Which is the third smallest value? (a) -1\/5 (b) 1\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4 = -4*m, 0 = 7*m - 12*m - z + 15 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000997033 to seven decimal places.\nAnswer: 0.0000997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 9*p = -60. Let w be (-4)\/(-10)*p\/(-4). What is the nearest to 1 in -4, 0.07, w?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4709 (base 11) in base 7?\nAnswer: -24006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35.77 - 0.77. Let g = -21 + p. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**2 - 3*t**3 + 12 + 2*t - 7 + 3 in the form z*t**2 + o + m*t + b*t**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 55 + 6*u - 25)*(3*u**3 - 1 + 1).\nAnswer: 18*u**4 + 36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/258 or -6.63?\nAnswer: -6.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 564 divide 46721679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-52)\/(-1) + 2. Suppose -78*v + g*v = -88. Solve -6 = 2*u + v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 4:52 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 22588876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 444357 and 323980.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 + (-18)\/12. Let o(z) = 12*z + 6. Let k(f) = -11*f - 5. Let n(y) = -6*k(y) - 5*o(y). What is n(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 278 + -187. What is the remainder when d is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/275 + -1339\/4950. Calculate the common denominator of f and 65\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3059 + 3091. Calculate the remainder when 2207 is divided by d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h + 7. Let k(w) = 7*w**2. Calculate k(y(f)).\nAnswer: 343*f**2 - 686*f + 343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2390 + 6648. Is p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 15 - 5 = 4*o, 4*o = -3*g + 22. Let w = -1347 - -1351. Solve o + 0 = -w*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(7) + sqrt(112) + 1)**2.\nAnswer: 10*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -784*d + 4029. Give i(5).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -923*p - 955*p - 19*p**3 + 1902*p as x*p + d*p**3 + g + c*p**2 and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0372571 minus -14?\nAnswer: 14.0372571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 5*h = 10*h - 4*h + 22 + 10, 10*f - 2*h + 26 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, g: 5, z: 4}. What is prob of picking 2 z?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*q + 8 - 73 = 0, 11 = z + 3*q. Let j be ((-6)\/12)\/((-2)\/4). Calculate the lowest common multiple of (-4)\/j - (-16 - 2) and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 5:16 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -42195*((-144)\/(-60) + -3).\nAnswer: 3, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 19*r**2 + 408*r + 9446. Calculate k(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 24 = h. Suppose -2*l - 14 = -20. Put -1, -3, l, h in decreasing order.\nAnswer: l, -1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d + 65*d - 26*d - 39000 = 0. Calculate the least common multiple of d and 8.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7390*o + 523089 = 191*o for o.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -359422976 by -2176.\nAnswer: 165176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 196572507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -847, -845, -843?\n\"Answer: 2*i - 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 115c3?\nAnswer: 115c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -40. Suppose 5*k = -9 - 16, -2*k - 20 = -5*s. Solve -5*o - h*w = -w + 20, -2*o + s*w - 8 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 35068 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*m = 333*m + 1938*m + 88108 - 3443 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from artsvba?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 125*x + 3. Let w = -40 + 38. Let d be l(w). Let r = 402 + d. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109525792.\nAnswer: 2, 47, 72823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 9*c - 10 = 4*c, -10 = -s - 2*c. Suppose -5*z - 5 = -3*w + 2, 2*z = s. Factor 118*b**3 + 6*b**2 - 3*b**w - 118*b**3 - 3.\nAnswer: -3*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3224656*f**5 + 5*f - 74140?\nAnswer: -64493120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 25173*h - 1233481. What is u(49)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*h = 335*h - 673*h - 48 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 384124578 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 9, 4, -1 in decreasing order.\nAnswer: 9, 4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000501726019 to six dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3))**6 assuming a is positive.\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-294)\/5390*88)\/((-3)\/10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60720 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 143057209 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y + 281 - 775 = 0. Solve -o - 5 = 12*d - y*d, -o + 5*d - 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21549473223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(20)\/sqrt(2)))\/(sqrt(18)*1).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5812 and 543299948.\nAnswer: 5812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -2*h**4\/3 + 37*h**2. Let a(u) be the second derivative of 0*u**2 + 1\/6*u**4 + 0*u**3 + 9*u + 0. Calculate c(a(b)).\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide (3 - 147)\/(-2) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**3 - 13*l**2 + 12*l + 2. Calculate the least common multiple of (-97)\/(-4) - 2\/8 and n(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*m - 6 = -129. Suppose 4*x - 8 - 4 = 0. Let j be (4\/(-3))\/(16\/(-96)). Solve -4*z + j = -s, -m*z = 2*z + x*s - 27 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 46. Find the third derivative of -20*h**2 - 9*h**z - 6*h**5 + 11*h**2 wrt h.\nAnswer: -900*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (663\/27 - ((-520)\/117 - -4)) + -8.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 o, and 1 p when three letters picked without replacement from oopoopopppq.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1011022121 (base 3) to base 10\nAnswer: 22831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6591 - 3953. What is the remainder when l is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(((u*u**(1\/14))\/u)\/u))\/u**(-2\/5) assuming u is positive.\nAnswer: u**(163\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -8. Let r(o) = 0 - 4 - 5*o - 3*o + 6*o + i*o. Let g(h) = h**3 + 6*h**2 + 3. Let u be g(-6). Calculate r(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:50 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2 - 2)*(f**2 - 4*f**2 + f**2) + 5*f**3 + 8*f**3 - 5*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -630 + 972. Let t = n + -112. Suppose 5*h - t = -50. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4071245 (base 8) in base 12?\nAnswer: -43b971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-42) - 2\/(-7)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 5. Let g = -4 + m. Solve -g*v + v = 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*w = 56, 5*a + w + 76 - 334 = 0. Let c = -9581 + 9711. Calculate the highest common factor of c and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 94. Let c = s + 76. Suppose -2*v - 4*v**4 + 36 - v**4 - 18*v + 25*v**3 + 4 - 30*v**c = 0. Calculate v.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3021 + -2992. Calculate the remainder when 113 is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 5)*(4 + m - 4).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24951372.\nAnswer: 2, 3, 557, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 95\/903821?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*(5 + -2*sqrt(180)*-1 + 3 + sqrt(180) + 0) + -4)**2.\nAnswer: 7380*sqrt(5) + 42181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 - 22*s**2 + 3*s - 3. Let b(a) = 9*a**3 + 88*a**2 - 13*a + 13. Determine 6*b(q) + 26*k(q).\nAnswer: 2*q**3 - 44*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - -61.9. Let n = -60 + y. Let d = 1.2 - 6.2. Sort d, n, 5 in ascending order.\nAnswer: d, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -315 and -11155 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2626 - 28865\/11. Let p = 35\/8688 + -16077389\/60816. Let u = p - -515\/2. Calculate the common denominator of u and v.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**4 - a**4 - 6*a**4 + 2*a**4 + 0*a**2 + 0*a**2 + 608*a**3 - 9*a**4 - 608*a**3 + (-2*a + 1 - 1)*(-a**3 + a**3 + a**3) - 3*a**2 + 3*a**2 + a**4.\nAnswer: -22*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a + 17*a = -8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106878 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adwwdqgg. Give prob of sequence qd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*n = 13*n. Let b = 1 + 1. Let k = b + 12. Solve 5*t - 4 + k = n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 u when three letters picked without replacement from {l: 1, r: 4, u: 2, z: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23569 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 187548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2566748 divided by 2?\nAnswer: 1283374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = j - 11, 3*v + 6 = 2*j. Does 4 divide (-10 - -6) + j\/6*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 69.38 and 4?\nAnswer: 277.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -7. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92 + (121 - 162 - -72)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 483*v**2 - 713*v + 88*v**5 - 243*v**2 - 240*v**2 wrt v.\nAnswer: 1760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.2, 0.5, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55\/48 - 5\/12. Suppose -4*k + 128 = -4*x, -x + 6*k - 16 = k. Calculate the common denominator of (3 + 123\/x)*39 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -14. Let n be (0 - 1)\/(g\/273). What is n rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -72*k**5\/11 + 14240*k**4\/11 + 32886*k**3\/11 - 177806*k**2\/11 + 121020*k\/11 + 36000\/11 = 0.\nAnswer: -5, -2\/9, 3\/2, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:45 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x + x - 3*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 2*n**2 + 2*n. Let s be f(-3). Factor 3\/5*i**s + 0 - 3\/5*i + 0*i**2.\nAnswer: 3*i*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - 2088\/(-120))*(-115)\/(-46).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2 + 5*v + 5. Let x(m) = -3*m**2 + 6*m + 101 - 95 + 6*m**2. Let j(f) = -6*i(f) + 5*x(f). Let p(t) = -6 + t + 6. Give p(j(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.7206 to the nearest integer.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(168\/264) + 87\/(-232)*(-86)\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25064?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n**4 + 1 - 8*n**2 - 18*n**4 + 22*n**4 - n to x*n**4 + j + b*n**3 + p*n**2 + f*n and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -39*p**5 + 480950*p**4 - 505573*p**3 + 24662*p**2 = 0.\nAnswer: 0, 2\/39, 1, 12331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q - q + 3*q)*(305 - 579 - 587)*(-3 + 4 - 2)*(-4 - 1 + 3)*(-3 + 2*q + 3) as m*q + y + w*q**2 and give w.\nAnswer: 6888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 1.11?\nAnswer: 0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u. Let y be v(-2). Suppose -5*i + 4*j - y = 0, 2 + 1 = -2*i + j. Let r be (i\/(1 + -2))\/8. Is r greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1679640 and 33\/447904.\nAnswer: 6718560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = g + 34, -g + 30 = -4*w + g. Let i be 2*(w + -2 + 2). Let l = i - -25. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1730c17 (base 14) to base 7\nAnswer: -165666630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 999 and 98448?\nAnswer: 32783184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 270\/2 - (-1 + 1). Suppose -2*f + 6*y - 18 = 0, f = -y - 2*y + 21. What is the units digit of (-128)\/f*m\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((140\/(-3283))\/(-5)*-7)\/2.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100 - 30 + 7*m - 4*m)*(-179 + 179 - 5*m).\nAnswer: -15*m**2 - 350*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0279 at least as big as -12.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4247 is divided by ((-18)\/(-8))\/((15\/42)\/(720\/756)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - o - 3. Let u be z(0). Let k = u - -4. Suppose 11*b = -5*b + 64. Calculate the least common multiple of b and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 5\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2111 = -0*s + 3*s, 3*s - 6369 = -3*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 38*f - 39*f - 3 = 0, 4*k = -f - 3. Suppose k = 4*x - 388 - 56. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**4\/2 - 2235*u**3 - 981005*u**2\/2 + 4031940*u - 8136040 = 0.\nAnswer: -451, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 1\/4, 40, -1\/7, 1?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -18. Let r(f) = j*f + f + 0*f. Let v(b) = 4*b**2 + 2. Let k(y) = -y**2 - 1. Let s(h) = -2*k(h) - v(h). Determine s(r(u)).\nAnswer: -162*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10 = -5*j. Suppose 0 = -j*f - f - 6. Let s be (-28)\/63 - f\/9. Put -5, s, 1\/5 in decreasing order.\nAnswer: 1\/5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from {q: 1, e: 1, y: 5, t: 2, h: 2, j: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-6 + 4) - 1\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*12\/9. Suppose 3*n - 52 = -3*w - 1, 5*w + 23 = n. Let z = 30 - n. Solve z = g*l - d, 6 + 10 = 3*l - d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 39?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 688300\/351 less than 1962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(450)*-1 - ((-2 + sqrt(2))**2*-3 - sqrt(4)\/(sqrt(2)*2)).\nAnswer: -53*sqrt(2)\/2 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**2 + 12*f + 872. What is n(-18)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q - 22*q + 2*p = 4*p - 14, 9*p = 5*q + 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:40 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.06667 to 1 dp.\nAnswer: 66.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*1\/1)\/(-1). Let g(n) = -n - 1 - 6 + n**2 + 8. Let c(d) = 4*d**2 - 3*d + 4. Let x be ((-6)\/(-4))\/(-3)*-10. Determine f*c(z) + x*g(z).\nAnswer: z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -411 by 3.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -513 - -521. Suppose -2*d = -b - 1882, c = b + 10. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmm when three letters picked without replacement from mxpxpxmp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 875766247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*q - 135672 + 1307*q - 162991 + 81*q**2 - 83*q**2 + 111391 = 0. What is q?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 22. Let r(t) = -10*t - 3 - 4 + 30*t + 10 - t**2. Let o be r(20). Solve u - o = -l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 11, c: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/10 + (-12)\/(-240)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/360 and 41\/124596?\nAnswer: 1245960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1 - 17*u - 10 + 3. Let w = -4 + 1. Let g(j) = -30 + 0*j + 33 + 6*j. Determine w*x(f) - 8*g(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*u - 238*u - 369*u as h*u + k and give h.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6309 and 9228.\nAnswer: 19406484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 13. Let z be j(9). What is the common denominator of -31\/18 and -2 + ((-905)\/18)\/z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Suppose -u + 0*a + 11 = -a, 0 = -v*u - a + 37. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from uqtamquqtaatqautqt?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(432)*3*-5*4)**2 + ((sqrt(432) - (sqrt(432) - sqrt(432)*-1) - sqrt(432) - sqrt(432)) + -3 - ((sqrt(432) + -2)*-2 - sqrt(432)))**2.\nAnswer: 1555251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2301517, -2301502, -2301487, -2301472, -2301457?\nAnswer: -2301442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 70*u + 696, 5*u + 0*q - q - 2*q = -300 + 247 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f - 2*j + 27 = -13*f + 12, 2*f + 24*j - 2*j = 30 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrdrrrrdr. Give prob of sequence ddrr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 19 = -6*a + 4*k, -2*a + 10 = -4*k. Let s be -7 + 4*a\/6. Let z be 3\/s + 306\/10. What is the greatest common factor of z and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -88 in 0.099, 1\/5, 1\/32, 2?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(18*i**5 - 3*i**5 + 40*i**5) + i**5 - 4*i**5 + 2*i**5 - 6*i**5 + 4*i**5 - i**5.\nAnswer: 106*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -175613, -175648, -175683, -175718, -175753?\n\"Answer: -35*y - 175578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 15*w - 6. Calculate the lowest common multiple of j(4) and 42\/(-4)*(-285)\/171*8\/7.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + 1)**2 + 5)*3.\nAnswer: 48*sqrt(17) + 3282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 107 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1841 - -2.093. Round t to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -6 - (-13 + 5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -1\/2*u**2 + 1\/12*u**4 + 0 - 1\/2*u**3 - 3*u. Let i(x) be the first derivative of k(x). Differentiate i(b) with respect to b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.373 and -100?\nAnswer: 1437.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 4*x**2 + 6*x + 4. Let k be a(-2). Suppose k = -v + 100 + 70. Does 34 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192767 times -2?\nAnswer: 385534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1792 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -242035000 rounded to the nearest 1000000?\nAnswer: -242000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251525 divided by -7.\nAnswer: 251525\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 6 = -9. Let m = u - -13. Let c(g) = -g**2 + 6*g - 3. Let q be c(5). Solve -5*y = k + 4*k - 25, 2*y - q*k = m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158 - -110. Let u(s) = -5*s - 3. Let a be u(5). Let l = a - k. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -9*v + 15735. Let c = v + 4265. Round c to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and -139113 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -291, -662, -1113, -1644, -2255, -2946?\n\"Answer: -40*b**2 - 251*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2769 = -15*u + 1671. Suppose -p + 9*p = u. Calculate the remainder when 183 is divided by p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -790 + 809. What is the remainder when 189 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-47)\/(49350\/120))\/((-8)\/(-220))?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 363844329?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.067061539 rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -2*t - 7537500. Let c be (t\/15)\/(-2)*(-1682 + 2). Round c to the nearest 1000000.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76798820.5 rounded to the nearest one million?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -11*v + 759. List the prime factors of v.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 27 = 12*f, -p = -2*p + 11 - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06541 + 0.46541. Put g, 4, -893 in increasing order.\nAnswer: -893, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5520242 millennia in centuries?\nAnswer: 5.520242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*r = 2, 3*h - 4 = 4*h + 5*r. Suppose -6 = 2*c - h. Suppose c = 7*y - 1219 + 302. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 5)*(5*p - 2*p + p)*(p - 4 + 4) + 4*p - 4*p + 2*p**2 + (-3 + 3 + 2)*(-3*p**2 + 4*p**2 - 3*p**2).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3314\/63 - -1184\/21. Let -2\/3 - 8\/3*g**3 - 28\/9*g**2 - 8\/9*g**5 + c*g**4 + 32\/9*g = 0. What is g?\nAnswer: -1, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415, 494, 573?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 2*n - 5. Let u be s(5). Let o(f) = u - 30 + 4*f + f. Let x(j) = 2*j**2. What is x(o(h))?\nAnswer: 50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-26)*(-12)\/57?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/30*1*9)\/((-26)\/52).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -20*j - 428. Give x(-20).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**3\/5 - 102*n**2 + 3087*n\/5 - 4644\/5 = 0.\nAnswer: -516, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-2)\/(-18)*(816\/17)\/(-8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/120 and 29\/264?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 389 = -2*p - 471, 3*p = 13*t - 146 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 2*o + 3*h - 14, -50 = 2*o - 9*h. Solve -1 = -4*y + 3*f, -6 = -o*y - 2*y - 2*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 5*s**2 + 4*s - 4. Let i be b(-6). Is i\/6 + 6\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*x - 2*x. Let f(t) be the third derivative of -t**6\/120 + t**5\/12 - t**4\/6 + t**3\/3 + 4*t**2. Calculate f(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 533*t**3 + 9244*t**2 - 9244*t**2 + (0 - 2*t**2 + 0)*((3 + 0 - 2)*(0*t + 4*t - 3*t) - 4 - 2*t + 4 + 0 + 0 + 2*t).\nAnswer: 531*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18584?\nAnswer: 2, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 649647803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3643 + -5?\nAnswer: 363b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 94*g + 792.\nAnswer: 2*(g - 36)*(g - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27865 + -27853. Suppose n = -2*n + 6. Solve -g - 1 = 2*c + 3*i, n = 2*c - 2*i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7\/k**(3\/7))**(-48)*(k**(-2\/9)\/k**0)**17 assuming k is positive.\nAnswer: k**(-20110\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/70)\/((-24)\/63).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 14*x**2. Let f(r) = -r**2 - 3 - 14 + 17. What is -78*f(h) - 6*k(h)?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.038 + -0.038. What is the third biggest value in -1\/60, 4, f?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62 and 990.\nAnswer: 61380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 x when three letters picked without replacement from {x: 7, r: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 2:30 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -n + 28. Let o be 0 + 10*1 + 2. Let y = -7 + o. Solve 5*i - 3 + 10 = -n*t, 11 = -y*t - 4*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2 + 3*s. Suppose -3*r + 3 = -15. Let m(j) = -j**2 + 5*j + 8. Let l be m(r). Let u be (-2 - (2 + 0)) + l. Give t(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njsnjrrwg. Give prob of picking 1 w and 1 r.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 32*g - 2. Let s be k(-3). Let a = -261 - -394. Let n = a + s. Calculate the remainder when n is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) -6\/13 (c) 4 (d) -1\/3 (e) -1\/653 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968159?\nAnswer: 968159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5390973131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -92557*s - 92646. Give x(-1).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*q - 5303 - 6494 + 2485 = 2352 for q.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2524 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-40)*725\/(-870)*(-4)\/(-8).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + -2 - (-1 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-3)*((-42)\/(-4))\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 - -0.231. Let h = -0.031 + n. What is h rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -221 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1011010111?\nAnswer: 1011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 1:46 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.1 (b) -1\/7 (c) -166173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*p + 18 = 0, -4*p + 0 = -5*y - 6. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/12 + 2)\/(2\/(-186)). Let g = d + 381. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 16 = 4*b. Suppose 3*j - 9 = -0*j - z, z + 5 = 4*j. Suppose b = -k + j*n + 25, 0 = -2*k - 3*n - 1. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 - 2*v**2 + 68*v - 291. Let a be i(4). Calculate the highest common divisor of a and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-124)\/(-44) - (1 + (-13)\/11). Solve 0 = t - y + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, g: 1, e: 1, a: 1, q: 5, p: 4}. Give prob of sequence pppa.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g - 5*g - 4*g + 4*g. Let w(b) = 5*b - 3*b - b. Give w(x(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2120438 is divided by 2112?\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((-13 + 2 - 3) + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59? (a) -1\/78 (b) -0.5 (c) -5 (d) -11 (e) 0 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1883178 and 3726.\nAnswer: 389817846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6782279 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 178169361?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - x + 1. Suppose -2*s = -3*l + 1 - 7, 0 = -2*s - 2*l + 6. Let f(g) = 5*g**2 - 4*g + 4. Calculate s*f(j) - 12*a(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-6 + 5 - 0). What is the fourth biggest value in 2, r, -0.5, -0.302?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 29. Let z be 37 + t - (0 + 1). What is the highest common divisor of 42 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(2*y**5 - 3*y**5 + 2*y**5) + 0*y**5 - y**5 + 0*y**5 - 8*y**4 + 8*y**4 - 4*y + y**5 + (-12*y**2 + 10*y**3 + 12*y**2)*(52*y**2 + 507 - 507).\nAnswer: 522*y**5 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 7*h**2 + 6*h - 4. Give n(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1063 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 16*o**2. Let y(h) be the second derivative of 0 - 6*h - 1\/6*h**3 + 0*h**2. Give y(u(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*c - 113*c - 829 = -862 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/2, 1\/7, -2\/3 in descending order.\nAnswer: 1\/7, -2\/3, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Suppose -r + 5*g - 5 = 0, k*r - 15 = -r + 5*g. Calculate the remainder when 69 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*35\/(-210)*(-9)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 3:02 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 46 = 7*a - 2*g, 3*g = -a - 16. Let i be -2 - 2*a\/4. What is the third derivative of -3*p**4 + i*p**2 + 2*p**2 - 2*p**4 wrt p?\nAnswer: -120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*w + 279 = 0, 8*w - 9*w - 461 = -3*f. Calculate the highest common factor of f and 380.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6084131 + 145853. Let r be (24920027 - (0 + 15)) + 0. Suppose 4*p = b - k, -b + 5*b = -3*p + r. What is b rounded to the nearest 100000?\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32.2 + 126\nAnswer: 93.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*sqrt(605))**2.\nAnswer: 5440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -368.7 + 336. Let w = -18.5501627 - 14.1498594. Let c = k - w. What is c rounded to six dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/3270809 or 1?\nAnswer: 22\/3270809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 take away 0.066118256087?\nAnswer: 0.533881743913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 111*s + 27*s + 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -10*p**2 - 64*p - 24 = 0.\nAnswer: -6, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m + 4*s - 20 = 0, 5*s = -m + 25. Let i = -3265 - -3263. Which is the nearest to 0? (a) i (b) m (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*n**3 - 546661*n**2 - 67001608*n wrt n?\nAnswer: 516*n - 1093322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/126 and 20\/(-70) + (-1411)\/(-210) + 36 + -41.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2303644 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21513 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1054 is divided by 646?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 7*m**2 + 11*m - 12. Let a be n(8). Let p = 17 - a. Suppose 0 = p*x + 5*u - 135, 2*x - 3*u - 54 = -8*u. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 4*z + 8, 4*v = -z + 6*z + 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -450586.4576 + 987?\nAnswer: -449599.4576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**4 + m**4 - 5*m**4)*(6 - 3 - 2) + 2*m**4 - m**4 - 3*m**4 + 5*m**4 + m**4 + 0*m**4.\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3353 is divided by 553.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15*-0.0576\nAnswer: 0.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6572233 centuries?\nAnswer: 65.72233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 13 (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55.5 - 53. Let s = -0.5 + n. Let d = -35.7 + 35.3. Which is the third smallest value? (a) 0.1 (b) s (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*((-4)\/10)\/((-49)\/(14700\/(-144))). Solve 3*m + 14 = -m - q*p, -2*p = 2*m + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -14, 1\/3610, 2 in ascending order.\nAnswer: -14, 1\/3610, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 2:17 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12, 1, 0, 21 in descending order.\nAnswer: 21, 12, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + u - 6. Let t = -1 - -4. Suppose 0 = 2*l + t*l. Which is smaller: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - u + (-2*u - 2 + 2)*(0 + 1 - 3) + (3 - 3 + 3*u)*(3 + 1 - 3) - u + 0 + 0.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4422*f + 6500*f + 1852 - 1852 - 2333*f.\nAnswer: 8589*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126) - (2*sqrt(126) - sqrt(126)))\/(sqrt(24)\/sqrt(108)) - -1*(2*(sqrt(112))**2 - (sqrt(28)\/sqrt(4)*-4)**2).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1651 and 3.\nAnswer: -4953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -36916453?\nAnswer: -36916453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 2. Calculate z(14).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 4*b + 12. Let o be t(6). Let a(s) = s + 12. Let c(i) = -i - 11. Let q(n) = 7*a(n) + 6*c(n). What is the tens digit of q(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyy when three letters picked without replacement from yxyyyyxyyyy?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -356*0.01428\nAnswer: -5.08368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {p: 3, a: 3, i: 3, c: 6, j: 1}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7192, 14266, 21340?\nAnswer: 28414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 5\/7 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 675.\nAnswer: 1\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1778300 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 1, v: 5, u: 2, b: 1}. Give prob of sequence bs.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1020 - -166. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -8*k**5 - 2*k**4 + 101*k**2 + 2. Let l(d) = 16*d**5 + 5*d**4 - 203*d**2 - 5. Let i(y) = -2*l(y) - 5*w(y). What is the third derivative of i(h) wrt h?\nAnswer: 480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4*c + 30, -35 = -3*g + c - 5*c. Suppose -2*r - 4*v + 36 = 0, v = g*r + 2*v - 90. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44535833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 - 2*k**2 - 4*k**4 + k**4 + 0*k**2 as o + w*k + s*k**2 + v*k**4 + a*k**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 49*o**2 - 1153*o. Let q(s) = -22*s. Calculate p(q(l)).\nAnswer: 23716*l**2 + 25366*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109 - 106. Let f = 7.9 + -8. Which is the closest to f? (a) -5\/4 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 301 = 3*c. Let w = -75 + c. Solve 5*g = -3*y - 19, 5*y + 8*g + w = 3*g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 52597175*o - 105194346.\nAnswer: -(o + 2)*(o + 52597173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 575 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1286*b**5 - 2*b.\nAnswer: -25720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 53 - 105. List the prime factors of (0 - 43026\/i) + 112\/728.\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1366 - -1412. Calculate the remainder when (7 - 8)\/((-2)\/730) is divided by p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -0*s + 5*s. Suppose 17*z + s*z = 51. Solve -z*j = -5*j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 31 + 122. Suppose -46*t = k - c*t - 3, 0 = -2*k + 5*t + 6. Solve 11 = k*f - 2*m, m + 15 = 4*f - 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0 = 2*i + 2, -2*i + 14 = -5*s. Suppose 2*g = 4*k - 5680010, -4259995 = -k - i*k - g. What is k rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 636*j**2 - 9*j - 2. What is the thousands digit of z(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/q*q*q*q*q*q\/q**(-2\/9))\/(q\/(q**(1\/2)*q)*q**(1\/4)\/q*q)*(q**(1\/4)\/(q\/q**(3\/4)))\/(q*q**7*q*q**(-1\/2)) assuming q is positive.\nAnswer: q**(-73\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s. Suppose -3*a + g + 8 + 1 = 0, -2*g = 0. Suppose -a*z = -7*z + 4. What is the units digit of k(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 - -183. Let n = -45 + f. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -9)\/(31\/93) - (-15327)\/(-741)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-1*-5)\/(-1*sqrt(72)))**2.\nAnswer: 325\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15223\/2 - 7613. What is the second smallest value in t, 5, 4\/123?\nAnswer: 4\/123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1000010101111?\nAnswer: -1000010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -80*q + 54*q + 36*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -247 + 1?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -8*v - 7. Let g be o(-2). Suppose -4*m = -3*y - 31, 5*m - 65 = 4*y - g*y. What is the units digit of 1164\/15 - (-4)\/m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2882*i**3 + 3*i + 3. Let h(o) = -11110113*o**3 - 11564*o - 11564. Calculate -11564*g(w) - 3*h(w).\nAnswer: 2891*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*b + 255*b = 298*b - 323918. Is b > -2722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 452632166 or 1357896496\/3?\nAnswer: 1357896496\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 6:18 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(4*(sqrt(8) - sqrt(128))).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -809, -5\/3, 3 in increasing order.\nAnswer: -809, -11, -5\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 6, 1\/3, -6\/10129, -1, -5?\nAnswer: -6\/10129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0766 and 1424?\nAnswer: 1424.0766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4*o + 0*o)*(2 - 9 - 2) - 6*o + 43*o + 34*o.\nAnswer: 44*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m + 14. Suppose 0 = -5*u - 0*u - 25. Let o be 0 + 2 + (4 - 2). Let d(l) = 0 - 3 + 0*l - o*l - 6. What is u*j(x) - 8*d(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -125775*c + 5911414. What is v(47)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 9*q + 4. Let i be d(-9). Suppose 3*j - 13 = -5*x + 2*j, -4*j = i*x - 20. Find the third derivative of -x*c**5 - c**2 + c**2 - 3*c**2 wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*c**2 + 9*c**2 - 4*c**2)*(9*c + 0*c + 0*c) + 8 - 8 - 5*c**3)*(0 + 5 - 4)*(3*c + 1 - 3*c - c).\nAnswer: -85*c**4 + 85*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 542, 1222, 2174, 3398, 4894, 6662?\nAnswer: 8702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 130 = 5*r + 3*u, 0 = -2*r - 5*u + 33. Solve 4*n - r = -9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/40425 and 17\/343.\nAnswer: 282975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/5 - 19*y**3\/5 - 2344*y**2\/5 - 6884*y\/5 - 912 = 0 for y.\nAnswer: -38, -2, -1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 33*b**2 + 74*b + 1. Give c(35).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x. Let d(z) = 4*z - 68. Let g be d(16). Let k(r) = -5*r. What is g*p(s) + 5*k(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 787687*t**2 - 151721*t wrt t.\nAnswer: 1575374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-784)\/96)\/49)\/((-3)\/(-15))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwedyvv. Give prob of picking 1 y and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -19, -26, -31, -34, -35?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 28 = -6*q, -q + 1 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/280 and 49\/320.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 9 - 9)*(-c**3 + 3*c**2 - 3*c**2) - 230*c**4 + 117*c**4 - 324*c**4 to h*c + l*c**2 + y*c**3 + q*c**4 + r and give q.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + d**2 - d + 8. Let u be g(0). Let f = 6 + u. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 g, and 1 l when three letters picked without replacement from nsgrnlr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -156 - 81 + 60 + 18 + 559*l - 44 wrt l.\nAnswer: 559","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3540049536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-6))\/w)\/w**(-5\/3)*(w*w**(1\/10))\/(w*(w\/((w**(-2\/15)*w)\/w))\/w*w))**(6\/25) assuming w is positive.\nAnswer: w**(-161\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 + 13*z**2 + 4*z - 15. Let p be u(-6). Which is the third biggest value? (a) p (b) 2\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 460 + 1*(-2)\/(-1). Suppose 0*h - 2*h = s. Is h\/(-6) + (-6)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112949029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 + 11*n**2 - 9*n**2 - 4*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 143?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 284 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54149 and 11.\nAnswer: 595639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -506, -1795, -4306, -8447, -14626?\nAnswer: -23251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1955 + -1940. Calculate the highest common factor of s and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**3 - 3*c**2\/2 - 3*c - 25. Let v be f(-1). Sort v, 1, 0, 8 in ascending order.\nAnswer: 0, 1, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - i = -15, -3*i - 18 = -g - i. Suppose -5*f + f + g = 0. Calculate the highest common divisor of 28 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78558?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 12a?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724015 = 15751*l + 851085 for l.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, o: 1, s: 1, v: 2, u: 2}. What is prob of sequence dvuo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -453 - -449 - (-1 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1. Let d(v) = -45*v**2 - 20*v - 30. Let r(x) = 30*c(x) - d(x). Find the second derivative of r(f) wrt f.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719663 is divided by 376?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -t - 82, -4*y + 5*y + 12 = 2*t. What is the second biggest value in 1\/2, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 5:42 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*t, 5*t + 4 = -2*h - h. Solve h = 5*v - 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 3\/7, 12.5, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1551539667?\nAnswer: 3, 83, 617, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 305.9527 and -2.82282.\nAnswer: 303.12988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(5) + sqrt(5) + sqrt(5) + sqrt(30)\/sqrt(6) + sqrt(5) + sqrt(5) + sqrt(5)) + 0.\nAnswer: sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-15))\/((-4040)\/424200)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 1, -5, 227, 3.\nAnswer: -5, -2, 1, 3, 9, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 611.72 kilometers?\nAnswer: 611720000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173239049.\nAnswer: 127, 487, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - -99. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 11*a - 25. Let n be m(-4). Suppose -2*x = -2*j + 846, -6*x + n*x + 6 = 0. Let s = j - 291. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16\/9 (b) 2952 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -20*z**6\/3 + 27*z**2 - 50. What is the second derivative of o(m) wrt m?\nAnswer: -800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 4*r + 37*r - 8*r - 32*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9133742 divided by -6\nAnswer: 4566871\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2405 + -2?\nAnswer: 2403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 2 (c) 1\/3 (d) -3 (e) -46802\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h**3 - 5*h + 12*h**4 - 2*h**3 + 8*h**4 - 19*h**4 - 2 to the form i*h**2 + t + k*h + b*h**3 + g*h**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 68*r**2 - 406*r - 466. Determine n(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -29432*z**2 + 224*z - 186. Let d be k(-9). What is d rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3520965 is divided by 7948.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 481585?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 14*c**2 + 41*c - 30. Calculate i(17).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 + -3. Let m be -2 + (-6)\/2 + k. Is (2*5\/(-10))\/(2\/m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 981351295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/2)\/((27\/(-2))\/27)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -1379*n**3 + 46*n - 2. Let x(f) = -4753413*f**3 + 158585*f - 6895. Calculate -13790*h(r) + 4*x(r).\nAnswer: 2758*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (459*i - 4847 + 4847)*(i + i - 3*i)*(1 - 1 + i) to the form d*i**2 + s*i**3 + m*i + b and give s.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81577834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1240 and 1070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 45083, 90324, 135699, 181202, 226827, 272568?\n\"Answer: -y**3 + 73*y**2 + 45029*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -140? (a) 144 (b) -2\/11 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, -0.8, 6, 1\/4, 2\/21953, -0.4?\nAnswer: 2\/21953","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2 = -2*h, h - 6 + 2 = 0. Suppose -12 = 3*l - 0*l - 5*j, q = -4*l + 3*j. Solve -2 = -x + l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247327 (base 8) to base 11.\nAnswer: 59447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, z: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 759, 1531, 2303, 3075?\n\"Answer: 772*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128507 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(4 + 5 + (sqrt(3564) - (0 + sqrt(3564))) + sqrt(3564)) + -3)**2*1.\nAnswer: 184032*sqrt(11) + 2098233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 8259467600 to the nearest one million.\nAnswer: 8259000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*f**3 - 71*b**3 + 2*b**2*f - 2*b**2 - 3606*f**4 wrt f.\nAnswer: -6*b**3*f - 43272*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -x - 4, 0 = -x - 3*x - 16. Which is the second biggest value? (a) -3\/2 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 2491024\nAnswer: 12455120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.516318 and 0.2.\nAnswer: 0.1032636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, o: 1, k: 3, v: 2}. Give prob of picking 2 i and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*w**4 + 170*w**4 + 3*w**3 - 85*w**4)*(-5*w + 5*w - 2*w).\nAnswer: -4*w**5 - 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.5*87\nAnswer: -130.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/14*-3*44\/198.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 29653879 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 306\/6083?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-594)\/63)\/(-11))\/(2\/266). Suppose 111*n - y*n + 1320 = 0. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 6834\/(-391) - 3\/(-2)?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.17993902 rounded to three dps?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -186 - -821. Suppose -8*j + 13*j - z = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2800000 = 37*f - 41*f. What is f rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*3\/(-27)*-3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(3)) - (sqrt(24)*2)\/sqrt(8).\nAnswer: -5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uug when three letters picked without replacement from ujjudugugugguujuujd.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337 + 3*r + 343 - 680.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 296\/16 - 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, s: 2, y: 1, a: 1, g: 8, h: 3}. What is prob of sequence hh?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - p + 45. Let u be t(0). Suppose 76*c = 18*c - 68*c + 2268. Calculate the highest common divisor of u and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 12*v = 0. Solve v = d + 2*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/2851 (b) -1 (c) 0.1 (d) -2\/7 (e) -3 (f) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 23 = -3*r, 5*r = 2*r - 4*b + 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a - 4 + 537*a**2 - 3*a**3 - 537*a**2)*(17 - 3*a - 17).\nAnswer: 9*a**4 + 15*a**2 + 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l**3 - 5*l**2 + 4*l. Suppose -2*o + 5*o = 33. Let y(j) = -29317*j**2 - 20*j**3 - 11*j + 29331*j**2 - 6*j**3. Determine o*q(w) + 4*y(w).\nAnswer: -5*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7555 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36031996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 = -l - 1, 0 = -l - 3*f - 3. Let k = 5 - l. Suppose -5*o + k*o = 14700000. What is o rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 905053115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -2)\/((-4)\/(-20)). Let t(q) = q**3 + 10*q**2 - 14*q - 31. Let c be t(-11). Put c, -3, s in ascending order.\nAnswer: -3, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f - 23. Give y(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 8:00 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*n)*(11*n**3 - 21*n**3 + 12*n**3 + 4*n**4).\nAnswer: -8*n**5 - 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19\/(-76) + (-422)\/8. Let i = p - -124. List the prime factors of i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 4*o**2 + 137*o + 553. Determine s(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*h**2*w**4 - 20*h**2*w**2 + 3790*h**2*w wrt w.\nAnswer: -240*h**2*w**2 - 40*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 123802787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8185 - 3?\nAnswer: -5.8185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 114*q + 1. Let i(d) = -452*d + 1338. What is -4*c(b) - i(b)?\nAnswer: -4*b - 1342","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/72 - 671*u**3\/18 + 450241*u**2\/12 + 422*u - 3. Factor t(r).\nAnswer: (r - 671)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*h + 320 = 5*g, -3*g = -4*h - 200. Calculate the least common multiple of g and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25, 105, 319, 733, 1413, 2425, 3835?\n\"Answer: 11*t**3 + t**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1027556 (base 9) to base 8\nAnswer: 2062352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 4*h**2 - 4*h + 5. Suppose 3*w - 2*g - 9 = 0, 2*g + 10 = w + 7. Calculate the remainder when d(w) is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 10, a: 2, v: 1, d: 2, u: 5}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1302.1707 - -0.1707. Let t = -1301.999117 - y. What is t rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 535687, 1071366, 1607045, 2142724?\n\"Answer: 535679*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 231559090 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/15)\/(1 + 1079\/(-1077)). Let p = -218 + d. List the prime factors of (1*-1)\/((-3)\/p).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38520 and 314259.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 21424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2473 (base 8) to base 6\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-3)\/(-25)*5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124.743 equal to -267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0878908243612 and 9.\nAnswer: 9.0878908243612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98\/3 - -688\/21. Which is the third biggest value? (a) -20 (b) -3 (c) 3\/2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**3 + 60*q**2 - 9108*q - 39. Give n(46).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, -0.3, -6\/5, -2\/3.\nAnswer: -6\/5, -2\/3, -0.5, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5389 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -1026*t + 23634. Determine c(23).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.49589 millennia in months?\nAnswer: 1085950.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -301 - -307. Suppose -4*q + 4*z + 72 = 0, -3*z - 6 = x. Put -2, q, -5, 5 in ascending order.\nAnswer: -5, -2, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/1)\/((-6)\/114). Suppose f - 4*f - m = -l, 4*l - 36 = 4*f. Suppose 3*u = -l*h + 187, 0*u + 15 = -5*u. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 2 - 141*k.\nAnswer: -141*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, a: 4, p: 2, l: 1}. What is prob of picking 4 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 6:18 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/6 + 5*r**4\/3 - 65*r**2\/3 - r\/6 + 20 = 0 for r.\nAnswer: -8, -5, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2881\/172)\/((-2)\/(-24)) is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 505934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/55 (b) -2\/11 (c) 23\/15 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 2)*(2*s + 0*s - s) - 4*s + 5*s + 2*s + (2*s - 2*s - s)*(-3 + 5 + 0)*(-2 + 0 + 1) to the form o*s + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t + 9. Is m(-9) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0 - 1\/70*o**7 + 1\/20*o**5 + 0*o - 1\/120*o**6 + 10*o**2 + 0*o**3 + 1\/12*o**4 - 1\/336*o**8. Find g, given that w(g) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 49*t**4\/5 + 273*t**3\/5 + 144*t**2\/5 + 4*t = 0.\nAnswer: -5, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 9 = 14*f, 0 = -2*r + 4*f + 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/772 and 85\/526084?\nAnswer: 101534212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 + 15*b**3 - 2 - 2*b**2 + 7*b**2 - 4*b**4 + 5*b**4 as n*b**4 + v*b**3 + m*b**2 + l*b + u and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 71016579 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 12:17 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**3\/3 + 1. Let g(m) = 4*m. Calculate g(u(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2 - 7662*f - 14676561 = 0.\nAnswer: -3831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 - 3*k**4 + 4*k**4 + (-2*k**2 + k**2 - k**2)*(-k**2 - k**2 + 0*k**2).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5215385384.\nAnswer: 2, 11, 59265743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 0*g - 18. Suppose -r = -g*r - 45. What is the common denominator of (1\/r)\/(6\/249) and -13\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841209110 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 3*p**2 + p - 2. Suppose 0 = 2*s - 4*s + 4. Let g be k(s). Suppose 0 = 5*d + g*i + 4, -4*i + 2 = -6*i. Let j(n) = n**3 - n**2 + 3. Give j(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77026334.\nAnswer: 2, 7, 11, 71453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22480134321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18217448 to the power of 1\/2, to the nearest integer?\nAnswer: 4268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 1674620*c + 350544018050.\nAnswer: 2*(c - 418655)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**5 + 33320*j**4 + 141155186*j**3 + 19796200596*j**2 + 645924475224*j + 6135055755696 = 0?\nAnswer: -8258, -102, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -14. Suppose 3*a = s*q - 4, 2*q + 0 = 4*a + 2. Suppose -5*p = -3*f - 7, 6*f - f + 3*p - 11 = a. Which is smaller: -3\/13 or f?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2 - ((-6)\/(-12) - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 57*b**2 + 34*b - 287. List the prime factors of k(11).\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270.222s in microseconds?\nAnswer: 270222000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -766744.4?\nAnswer: 3833722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 + 0*w**4 + 58 - 14 + (4*w + 0*w + w)*(2*w**3 - w**3 - 3*w**3).\nAnswer: -9*w**4 + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60794819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 15*o + 4. Let a be u(6). Let g = a + 31. What is the remainder when 15 is divided by 1\/(-3) - g\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12864)\/(-5896)*(-33)\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.12 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-10))\/(17\/(-425)). Suppose 4*g = g + 2*p + 20, 0 = 4*g - 3*p - 25. Calculate the greatest common divisor of g and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22824 + 22740 = -14*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(-3 - 86*l + 8 + 85*l).\nAnswer: 2*l - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30110535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3001715 by 361.\nAnswer: -8315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/356 and 103\/142425988.\nAnswer: 142425988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3435001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43.9 - 4.1. Let g = t + 47. Which is the nearest to -0.1? (a) -1\/7 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -16. Suppose -3*s - 1516 = -g*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 p, and 1 c when four letters picked without replacement from {p: 1, m: 4, w: 2, c: 2, x: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c**4*j**3 - 18*c**3*j**3 + 60*j**3 wrt c?\nAnswer: -12*c**3*j**3 - 54*c**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*y + 131*y - 1104 = 0. Calculate the highest common factor of y and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0821 - -0.36.\nAnswer: 0.4421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19339 divided by -53?\nAnswer: 19339\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (-36)\/8*278 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 33060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 565 + -253. Let g = a - 101. Let r = 1249\/6 - g. Find the common denominator of r and -39\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 20*b + 792. Let y be c(-29). What is the highest common factor of y and 689?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, z: 3}. What is prob of picking 2 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -30*g + 51 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6555201.\nAnswer: 3, 1049, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y - 6. Let x be z(3). Suppose -4*t - 2710 = -2*k, k = 5*k - x*t - 5435. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1344 divide 62409984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.289 - -3.289. Which is the second biggest value? (a) u (b) -63 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + sqrt(153) + sqrt(153) + sqrt(153)*2)*-5)\/(sqrt(18)\/(sqrt(6)\/sqrt(3))))**2.\nAnswer: 10625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 12 = 5*j - 3*j, 5*l = 3*j + 14. Calculate the remainder when 7 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -18. Suppose -17*a + o = -14*a. Factor 0*h - 2\/5*h**a - 2\/5*h**2 + 0.\nAnswer: -2*h**2*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629*z + 4*v - 284 = -717*z, 0 = -6*z + v + 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2564496 is divided by 125.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 775530 + -105?\nAnswer: 775423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 23843 + 4*s**2 + 2*s**2 - 23845. Let a(q) = -6*q**2 - q + 2. Give 6*a(j) + 5*h(j).\nAnswer: -6*j**2 - 6*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -912042 divided by 19827.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -228 * -3\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -753465 less than -753448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-41))\/c*c**(-27) assuming c is positive.\nAnswer: c**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + 16?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*c*o**3*y + c*o**2*y + c*o - 3*o**5*y + 2*y wrt o.\nAnswer: 294*c*y - 180*o**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6689 - -71284. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 38*a**2 - 67*a + 182. Let i be n(-36). Solve -r = i*r + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**6\/45 - m**5\/10 - m**4\/9 - 12*m - 3. Let i(s) be the first derivative of u(s). Factor i(w).\nAnswer: -2*w**2*(w + 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/13156 and 81\/38896.\nAnswer: 894608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1495952338*v**4 - 359909160?\nAnswer: -5983809352*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*c + 89*c**3 + 34*c.\nAnswer: 89*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, z: 8, x: 4, w: 1}. Give prob of sequence xzv.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*m - 4*j, -3*m - m - 5*j - 25 = 0. Let d = 24 - 20. Let n(f) = f + 0 - 4 + d + 3. What is n(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52910 is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -18*h**2. Let u(m) = -2*m + 17341. What is u(l(w))?\nAnswer: 36*w**2 + 17341","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2058a8 (base 12) to base 10.\nAnswer: -507584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 51, -1567 in descending order.\nAnswer: 51, 34, -1567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 579.3709 meters?\nAnswer: 57937.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 932\/21, -14 in ascending order.\nAnswer: -14, -3, -2, 932\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47280023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -561*u. Let x(z) = z. Give y(x(h)).\nAnswer: -561*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.94263 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + 661411060?\nAnswer: 661411112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.7999856 + 10.8. What is u rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1762 - (-8)\/8 - 1?\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 3 + 1 - (-18)\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129456499?\nAnswer: 129456499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 605572 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9848 - -0.0152. Let k(f) = -3*f - 1. Let p be k(1). Sort h, -5, 4, p in descending order.\nAnswer: 4, h, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l. Let u be y(0). Suppose -4*r - 20 = 0, 5*v + 4*r = -u*v + 10. Is (-771)\/v*(1 + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p - 4*p)*(79 - 5 - 4) + 23 - 23 - 10*p.\nAnswer: -80*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*b + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74529 or 74531?\nAnswer: 74531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504382*u + 504405*u = 1127 for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 5*q - 3*c, 3*q + 24 = -0*q - 3*c. Let f be (-3)\/q*(-6 - -21). Suppose u - f*j = -17 + 154, 298 = 2*u - 4*j. List the prime factors of u.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfwwhqwwhql. Give prob of picking 2 h and 2 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3)**(2\/83)\/((a**(-3)\/a)\/(((a*(a\/((a*a*a\/a**(-7))\/a))\/a)\/a)\/a)) assuming a is positive.\nAnswer: a**(-492\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjjjxjvvjjjljjljrxv. What is prob of picking 1 l, 1 r, and 2 j?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004354739988 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 554*h**2. Let m(p) = -1187*p - 18. Determine m(x(l)).\nAnswer: -657598*l**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a52 (base 14) to base 12.\nAnswer: -7640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 9:44 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -202 + 192. Let t be 1 + 5 + 5\/10*b. Let q(l) = 7*l + 1. Give q(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4272 and 178?\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1150*d - 3448*d + 4448*d**2 + 1144*d + 1154*d to the form v + z*d + s*d**2 and give s.\nAnswer: 4448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3945988 - 3945988 - 2*l. Let a(u) be the third derivative of -u**6\/8 + u**3\/2 - u**2. Let m(t) be the first derivative of a(t). Calculate i(m(y)).\nAnswer: 90*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -114?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*o - 189*o + 4*m = -0*m + 26, 7*m - 4*m = 15 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*i**5\/7 + 674*i**4\/7 - 4324*i**3\/7 - 30616*i**2\/7 - 48528*i\/7 - 2880 = 0. What is i?\nAnswer: -2, -2\/3, 12, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5872 divided by -1468?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 2*i = -6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2. Let x(o) be the first derivative of 437*o**2\/2 + o + 1181. Give x(h(n)).\nAnswer: -1311*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*l - 24*l + 8. Suppose 0 = 5*v - l*v - 48. Let c be (-6)\/27 + 2888\/36. What is the highest common factor of v and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -424 - -426. Does 24 divide 5 + 0 + -1497*y\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*15\/(-20) - (-38)\/8. Suppose 0 = -c + 47 - 42. Solve s = 3*j - c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r - 2*n + 15484 = -34*r, 4*r - 2*n - 20664 = 0. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-6 - (-17 - -4)) + (1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 432562961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162499 is divided by 250.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 19*j - 115. Let m(g) = g**2 - 10*g + 58. Let q(w) = 3*b(w) + 5*m(w). What is the units digit of q(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, -0.5, 4618, 0.2?\nAnswer: 4618","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*f = -32*f + 44604. List the prime factors of f.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zss. What is prob of picking 2 z and 1 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 110*k = 105*k + 15, 4*j - 9 = -3*k. Let z(t) be the second derivative of j - 1\/5*t**3 - 4*t - 1\/5*t**2 - 1\/15*t**4. Factor z(q).\nAnswer: -2*(q + 1)*(2*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01766*7\nAnswer: -0.12362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/252 and -97\/140?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56498.407224337 + -0.4.\nAnswer: 56498.007224337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1584) - ((0 + sqrt(1584) - sqrt(1584)) + sqrt(1584)) - sqrt(1584)) - sqrt(1584)*-1*-4)**2 + -4.\nAnswer: -240*sqrt(11) + 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1575, 6238, 14009, 24888, 38875, 55970?\n\"Answer: 1554*b**2 + b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/4*(-528)\/693.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/14, 0.3, 0.15, 3.\nAnswer: -13\/14, 0.15, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*d + 77*d - 151*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/(-6) + (-12)\/72. Suppose -5*h = -5*r - 20, -3*h - 12 = 3*r - h. Let n = r - -3. Sort -4, n, q in increasing order.\nAnswer: -4, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -5*r - 27. Solve -4*d = -4*c + 4, 2*d - 3*c + 7*c - r = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -355841*m**2 - 492514 wrt m?\nAnswer: -711682*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 331*y**4 - y**3 + 1091*y**2 wrt y?\nAnswer: 7944*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ad - 226?\nAnswer: -2d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (0 + (-2 - -6)) - (-4 + (-2 - -14)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.928908 milligrams to tonnes.\nAnswer: 0.000000007928908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -2. Let w be 2\/4 - (-14)\/4. Solve x - 4*z + 15 = 0, -5*z + u + 0 = w*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 534 + -626?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.97 + -0.03. Let y = 3.9 + s. Which is the nearest to y? (a) 2 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 12 = 4*t. Let a(o) = o**2 + 1. Let m be a(2). Suppose -4*u - 5 = m*c, -30 = -3*u - 0*c + 3*c. What is the lowest common multiple of u and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -248881, -248879, -248877?\n\"Answer: 2*z - 248883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 29 + 5*l**3 - 16.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -1. Suppose 1 + 1 = r. Suppose -p = -5*d + r*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/6*-2 + 10. What is the greatest common divisor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65692969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or 684?\nAnswer: 684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/25, 0.7, -10, 0.05, 2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 3*r**6\/2 - 78*r**5\/5 + 99*r**4\/2 - 56*r**3 + 9*r**2\/2 + 30*r + 738. Find h such that w(h) = 0.\nAnswer: -1\/3, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14286.66464 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1034\/9 + -16661\/144. Find the common denominator of t and 2\/(0 + 12\/(-149)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/2 + 2 + -2. Let c(m) = 5*m**3 + 3*m**2 + 5*m - 4. Let y(r) = -4*r**3 - 2*r**2 - 4*r + 3. Give f*c(w) - 3*y(w).\nAnswer: 2*w**3 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8793 - 8183. What is the lowest common multiple of f and 976?\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dccdccc. Give prob of picking 3 c.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 1, e: 2, x: 2, m: 1, p: 1}. Give prob of picking 2 e and 1 w.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 2286*t - 2312*t. Solve 0 = -t*p - 6*g + 10, -3*p + p + 4 = 4*g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1831*h = -896*h - 865*h + 8400 for h.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188, -150, -78, 34, 192, 402, 670?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -33) + -48 + 67.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -1\/3, 0.2, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151060, 302211, 453362?\nAnswer: 604513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111101001111001101 (base 2) in base 3?\nAnswer: -1110101021001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42615743 a multiple of 3310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1184*w**2 + 630*w**2 + 619*w**2.\nAnswer: 65*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4271752*c*w + 2459169*w wrt c?\nAnswer: -4271752*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31.7999871 + 31.8. What is b rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3826 + 3818. Sort -4, 0, t, -22.\nAnswer: -22, t, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2632698, 4, 14 in increasing order.\nAnswer: -2632698, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 8 = 2*j. Suppose v + 3*v = -j. Let t(c) = -3*c + 1. What is t(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00115392269 to seven dps.\nAnswer: -0.0011539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 43067938 to the power of 1\/3, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 + 35*z + 35. Let k be x(-8). Solve -k*i = -87*i - 24 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k - 7. Suppose -4*x = -2*n, -2*n = -3*n + 3*x + 3. Let u be m(n). What is the greatest common factor of 88 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 6*s**2 - 2*s + 13. Determine j(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/5 + 24*x**3\/5 - 42*x**2\/5 - 144*x\/5 - 81\/5.\nAnswer: 3*(x - 3)*(x + 1)**2*(x + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22174192*m**4 + 10267235*m**2?\nAnswer: -532180608*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 63\nAnswer: 62.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*a**3*h**2 - 121*a**3 + 38*a*h**4 wrt h.\nAnswer: -14*a**3*h + 152*a*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -463, -462, -461, -460, -459?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -9 - 9331\/903*(0 + -3)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1968156 and 18.\nAnswer: -35426808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155954.\nAnswer: 2, 77977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*j + 9 = 0, -b - 3*j = 2 - 16. Is (-3)\/(-5) - (-182)\/b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooobbb. What is prob of picking 1 b and 1 o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 294 by -98.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1. Let x(t) = -t**3 - 4*t**2 + 4*t + 3. Let d(h) = x(h) + 5*y(h). Let v(r) = r**2 - 21*r + 85. Let g be v(15). Give d(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -7*j + 2*n + 60, 2*n + 24 = 2*j. Suppose -j = -4*a + 8. Suppose r = -1, a*p - 5*r - 39860 + 151855 = 0. Round p to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*t - 11, 6*t + 1 = q + 4*t. Let p = 0.9 + -1.4. Put 2, -1\/4, p, q in ascending order.\nAnswer: p, -1\/4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -6. Let i = l - -2. Let t(u) = -3*u. What is t(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 177502601, 177502609, 177502631, 177502673, 177502741, 177502841, 177502979, 177503161?\n\"Answer: h**3 + h**2 - 2*h + 177502601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (357\/2142)\/(4\/288).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/654 and -37\/11663.\nAnswer: 69978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 163 and -0.0717.\nAnswer: -11.6871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 89*d + 6. Let m be c(-3). Let g be 1*(-6)\/9*m\/(-6). Let z = g - -51. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.731705 rounded to 2 dps?\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, n: 1, t: 1, c: 1, d: 2}. What is prob of sequence nck?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5*n)\/n*n**(-18) assuming n is positive.\nAnswer: n**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (206 - 152) + 13 - (-35 - 2).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/7, -1, 0.06, 117\/8?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -20 + (-6 - -12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t + 3. Let h be 3*(15\/9 + -2). Let x = -30 - -18. Let d be h\/(15\/x + 1). Calculate w(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 7, 0.4, -4 in increasing order.\nAnswer: -4, 0.4, 1, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4\/z)**(-10\/3)*(z\/z**(9\/4))\/(z\/((z\/((z\/(z\/z**(5\/7)))\/z)*z)\/z*z)) assuming z is positive.\nAnswer: z**(-279\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2741 - 2741.3. Let f be (-8)\/(-5)*5\/1. Let s = 4 - f. Put y, -5, s in decreasing order.\nAnswer: y, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3626526.\nAnswer: 2, 3, 491, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*j - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/80 greater than 0.064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 + 6*a. Let j be i(-6). Suppose 0 = j*w - 74*w + 5554. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 27*v**2 + 204*v - 291. Calculate n(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - 9 - (-36 + 27).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1) + (7 - 16) + -8 + 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-47 - -27 - -12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 207758 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sesessssssssesesses. Give prob of sequence eeee.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 113444 >= -110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2582 is divided by 76.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527*p + 609*p + 597*p - 1641*p.\nAnswer: 92*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aar when three letters picked without replacement from {a: 13, k: 4, r: 3}?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 17*j**2 + 9*j - 1. Let l(i) = 47*i**2 + 27*i - 3. Let m(x) = -4*l(x) + 11*t(x). Let f(g) = 2*g**2 + 17*g - 2. Give 3*f(r) + 7*m(r).\nAnswer: -r**2 - 12*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 2*m**2 + 2*m - 4. What is g(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 225 - 217. Solve 0 = -0*o - 4*o - c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22182 is divided by 153?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 3\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q**2. Let t(b) = 281536*b**2. Determine o(t(k)).\nAnswer: -396312596480*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3144*o**4 - o**3 + 660*o**2 - 2 wrt o.\nAnswer: -75456*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101752 - 492581434\/4841. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven quarters of a second?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 14. Let s(x) = -x**3 + 7*x**2 + 7*x - 1. Let p be s(8). Let a = p - r. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 - c. Let p be i(1). Let y = p - 1. Let k = 9 + y. Solve 2*b = k - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/3 - (4\/6 - 1). Solve 0 = r*z - 6 - 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113 * 0.03.\nAnswer: -3.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20355 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 p(l) = -3*l**2 - 74*l - 319. Calculate p(-39).\nAnswer: -1996","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2132 + 2145. Calculate the highest common factor of 403 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-8\/3)*h**(2\/33)*(h**(-3\/10))**(1\/32))**27 assuming h is positive.\nAnswer: h**(-153531\/3520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-6)*(1267\/(-362))\/((-7)\/(-3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 976.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -758133 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 28\/9 of a hour?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 48\/32*(-2)\/(-18) + (-1121952013)\/78. What is z rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*a = 4, -1 = -y + 4*a - 0. Suppose -3*b + 0*b - 4*d + 17 = 0, 4*b + 5*d - y = 0. Let g(z) = -157*z**3 + z**2 + z + 1. Is g(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44927321?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1053 - 5?\nAnswer: -1058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) -1\/25 (c) -5.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2 + 8*z - 8. Let x(f) = -3*f + 2 + 1 + f**2 + 0*f**2. Let i(c) = 4*h(c) + 11*x(c). Determine i(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 1\/2 (b) 3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6*m = -324. Suppose 500 = 7*g + m. Suppose 88 = 3*f - 5*s, -g = -f - 3*s - 2*s. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.1, -35, -4, 28\/25, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*z**4 - 143*z**3 - z**2 - 127*z - 47?\nAnswer: 264*z - 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 58872+0.029721\nAnswer: 58872.029721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*s + 19 = i + 116 + 30 + 86, -i = 5*s + 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + sqrt(27) - (-4 + sqrt(27)*-1)**2) + -2*(sqrt(6)\/(sqrt(2) - (sqrt(32) - sqrt(2))) + -2*sqrt(363)).\nAnswer: -48 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*s - 9*s - 42028 = 0. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 9*c = 14. Suppose 0 = k - 2*k + c. Suppose w + 34200 = k*w. What is w rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w = -128 + 194 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 8:01 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 10*j - 3. Give o(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*s + 12, -2*c + 5*s = -147. Let q(l) = l + 12. Let f be q(-6). What is the greatest common factor of c and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58807894229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y**2 - 7*y + 7. Let a = 253 + -127. Suppose 0 = -t - 5*t - a. Let z(w) = -w**2 - w + 1. Calculate t*z(d) + 3*v(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 + 16*j**2 - 33*j + 118. Let y be r(7). Let c = -1.94 + -0.06. Which is bigger: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + -1 - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 648, 645, 640, 633, 624, 613, 600?\n\"Answer: -o**2 + 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 12*a + 28. What is c(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 443749, 887327, 1330899, 1774459, 2218001?\nAnswer: 2661519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {k: 1, c: 2, u: 2, m: 1, s: 1, x: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 10*u - 6. Let p be a(6). Let q = 17 + p. Let k = q + 21. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 7:34 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 17*j**2 - j - 10. Let i be d(-17). Suppose i*k - 13 = 3*k - u, 5*u - 5 = 0. Let t be 0 + -4*k\/21. Which is smaller: t or -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28560 divided by 28560?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5511 + -66?\nAnswer: -5610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(19) + -4 - (sqrt(19)*-2 + 1) - (-1 + sqrt(931))*-2)**2*-4.\nAnswer: -22220 + 1088*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**3\/2 - 2*q**2 - 83*q - 2. Let r(n) be the first derivative of 2*n**2 - 5*n - 1. Give 5*a(p) - 4*r(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1314, 1309, 1302, 1293, 1282, 1269, 1254?\nAnswer: 1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/((-10)\/82) - -5. Let z be ((-3)\/(-2))\/(6\/c). Let o(f) = 8*f - 5. Let p(h) = -4*h + 2. Determine z*p(t) - 4*o(t).\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**9\/181440 - w**8\/60480 + 2*w**5\/15 - 24*w**2. Let c(t) be the third derivative of f(t). Factor c(v).\nAnswer: -v**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*t - 0*t - 1375, 5*t - 5*u - 1390 = 0. Let k = t - 75. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2010212 (base 3) to base 10\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*p - 287, -5*y - p + 229 = -2*y. What is the remainder when y is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 105684.\nAnswer: -1\/105684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/21, 5, 15\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 37\/8 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26112 and 69632?\nAnswer: 208896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44.62 + 60.62. Let z = 145\/7 + -21. Sort 5, z, y in decreasing order.\nAnswer: y, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**5\/60 + a**4\/24 + 14*a**2 + 2. Suppose 2*d = 6*d - 40. Let m(w) = -8*w**2 - 12*w - 2. What is d*s(r) + m(r)?\nAnswer: 2*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = 720*g - 687*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-15)\/210)\/((-2)\/(-7)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2. Let f(r) = 12*r + 14. Let g(j) = -j - 1. Let h(d) = 2*f(d) + 28*g(d). What is b(h(x))?\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - m)*(3 + 0 - 5)*(-52 - 92 - 600)*(0 + 0 - 1).\nAnswer: 1488*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 4) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w - 895651. Let z(i) = i. Calculate z(g(d)).\nAnswer: -2*d - 895651","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - y)*(9 - 9 - 4*y) + (392 - 392 - 202*y)*(-5*y + 0*y + 4*y) to g*y**2 + f + w*y and give g.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8145 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 7*y - a + 2, 16 = 4*a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 560 + -565. Which is the second biggest value? (a) -0.5 (b) r (c) 0.177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 39 - 44 = 0. Solve -u = -x + g - 2, 5*g = -5*x + 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -0*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3477 is divided by 63?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 6*s**2 + 2. Let u be d(-6). Let i be -4 + 4 + u\/(-4). What is the closest to i in 0, 2, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-150) - (-812)\/15. Suppose 0 = -5*g - 4*n - 4854, 1025 = -g - n + w. Round g to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - -4) + 19 + (-4 - (4 + 5))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0*n + 1\/12*n**4 + 4*n**2 + 0*n**3 + 0. Let s(z) = 3*z**2. Give j(s(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 17*x**2 - 24*x + 11. Give g(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 0*l + 2*l**2 + 0*l. Let g be f(-1). Suppose g*i = -3*i - 2*x + 68, 5*x - 80 = -5*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2 = 0, 5*u + 6*i - 4*i = 27 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1011110000101100 (base 2) to base 11\nAnswer: 33213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 1188 = -1017. What is the remainder when l is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.1821 (b) -2 (c) 10 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from ovboevobub?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/176 and -39\/259264.\nAnswer: 2851904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29889*i**2 - 398693.\nAnswer: -59778*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 5. Let i = 0.3891 + -0.0891. What is the nearest to -1 in i, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(11\/22)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4988 less than 133701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 7. Suppose -5*d - 4*l = -150, 3*d - o*l + 2*l - 53 = 0. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l, 3*l - 4 = -2*a. What is the third derivative of -7*j**a - 6*j**2 - 4*j**2 + j**2 - 10*j**4 wrt j?\nAnswer: -240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2. Let y(s) = -2*s**2 + 4. Let a(o) = -o. Let b(u) = -3*a(u) - y(u). Let r be b(-3). Let m(g) = 1 - 2*g**2 - r*g**2 - 1. Determine q(m(l)).\nAnswer: 49*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 4. Let m(t) be the second derivative of -t**4\/12 - 3*t**2\/2 + t. Let c(q) = -q - 1. Let s be c(-3). What is s*v(l) - 3*m(l)?\nAnswer: l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -488896, -488724, -488552, -488380?\n\"Answer: 172*s - 489068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -247, -520, -805, -1108, -1435?\n\"Answer: -v**3 - 266*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1\/3, 2, -1, 0, 556?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 22 = -9*c, -4*f - 11 = -11*c + 6*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 13) to base 7\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153 + 3 - (-2)\/(16\/(-56))?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5127710*0.4.\nAnswer: -2051084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15862, 15861, 15860, 15859?\n\"Answer: -p + 15863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 342 (base 9) to base 2\nAnswer: 100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4 - 90*p**3 + 169*p**2 + 612*p + 352 = 0. What is p?\nAnswer: -1, 4, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 30677232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/31 (b) -2 (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -191*i + 5*i**2 + 28*i**2 + 191*i in the form c + k*i**2 + s*i and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862*n - 184 = 885*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134070 + -133971.007. Let v = n + -99. Let o = v - -1.007. What is the second smallest value in o, 4, 3, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 258\/(-17 - 906\/(-54)). Which is bigger: c or -1162?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0318902 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 16. Let s = y - 24. Let d = -4 - s. Solve 13 = 2*a + d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2511 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197145 is divided by 94618.\nAnswer: 7909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1232993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(-1 + 1 + 1) + 1 + 2 - 5 + 4 - 4 - 2)*(69*o**2 - 37*o**2 + 41*o**2).\nAnswer: -365*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 12*c**2 + 4*c - 12. Let v be s(12). Let w be ((-225)\/v)\/((-1)\/12). Factor 625 - 5*o**3 - 94*o - 181*o + 73*o + w*o**2 - 173*o.\nAnswer: -5*(o - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 1:56 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 131.19399 and 0.1.\nAnswer: 13.119399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13047751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 7*q - 3. Let r be i(-6). Let y be (0 - 3)*(-6)\/r. Let w be 48\/45 - y\/(-5). Which is the closest to -2? (a) -3 (b) 1\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {t: 3, e: 4, b: 2, y: 2, h: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -10. Suppose 0*v = -y*v + 30. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + f - 5*f)*(-1 + 0 - 1) + (-4*f + 4*f + f)*(-3 - 2 + 6) - 4 - f + 4 + (-4 + 3 - 1)*(-f + f + 3*f) - 8*f + 13*f - 22*f - 7*f + 3*f + 2*f.\nAnswer: -19*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 + 2*h + 3. Let i(m) = 3*m**2 - 3*m - 5. Let v(g) = 4*f(g) + 3*i(g). Suppose 15 = o + 4*o. Give v(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, s: 1, z: 2}. What is prob of picking 1 z and 2 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - k + 2 = -2, 4*k = 2*d - 26 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -47 (c) 13698 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*u + 20, -l + 0*l + 24 = 5*u. Let p(z) = -8*z - 1. Calculate p(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 17160841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 minutes after 2:13 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 20 = 2*c, 9*c - 7*c + 12 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 u, 1 r, and 1 e when four letters picked without replacement from {r: 1, d: 1, q: 1, k: 2, u: 1, e: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 14 + 1)*(-2*d**2 + 0 + 0).\nAnswer: -96*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*j**2 + 59*j**2 - 38*j**2 to the form g*j**2 + o + f*j and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 18. Suppose -677 = l*b - 4*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3*h + 2*h = -40, 0 = -5*j + 5*h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41806.52 nanometers in kilometers?\nAnswer: 0.00000004180652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m + 50 = 210 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 7*l = 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k + 11. What are the prime factors of m(13)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9766956157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - f**2 + 1. Let z(u) = -4*u**3 - 15*u**2 + 21*u + 11. Let n(l) = 5*o(l) + z(l). Is n(19) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 g, 1 h, and 1 k when four letters picked without replacement from {v: 1, g: 1, h: 1, y: 2, k: 2, w: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-32)\/3)\/(2\/(-258)). Let l be (-8)\/(-20) - q\/(-10). Find n such that -168*n**4 + 180*n**3 + 2 - l*n**2 - 5 + 36*n + 93*n**4 = 0.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14607 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -126, -106, -86, -66, -46?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(153) + 0 + (sqrt(153) - sqrt(153)*-1) + sqrt(153) + 4 + -1 + -1*sqrt(153)*1 + -3)*-5 + -3)**2.\nAnswer: 720*sqrt(17) + 34489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208.7429 millimeters to kilometers.\nAnswer: 0.0002087429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 49. Let i(p) = 5*p - 9*p + 3 + f*p. Let k be i(4). What is the highest common factor of 57 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o, 2*v - 340 = -2*v + 2*o. Suppose 0 = 5*w + 25 - v. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 5*a - 2. Let w be z(5). Put -5, w, -3, 4 in increasing order.\nAnswer: -5, -3, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*l - 22, 0 = 3*z - 0*l - 4*l - 46. Let n be 204\/z*90\/27. Let h = 142 - n. Calculate the remainder when h is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbsnsgsbnbsgbs. Give prob of sequence bgz.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 891*l**2 - 4*l + 4. Let a be q(1). Suppose 6*f = f + 270. Calculate the least common multiple of f and ((-1)\/((-6)\/(-4)))\/((-22)\/a).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799609?\nAnswer: 799609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 8. Suppose d - 67 = -j*f - 0*d, -43 = -2*f + 5*d. Suppose 5*v + k = 2*k + 35, 2*v = 2*k + f. Calculate the remainder when v is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 752 and 33604389?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 156310?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x - 3*x + 283 - 283 - 324*x**2 - x to the form m*x**2 + f*x + l and give m.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6*s + 7 = 3*g, 2*g - 10 = 0. Let j(n) = -8 + 6*n**2 - s*n**3 + 2*n + 1 - 2*n**3 + 5*n**3. Calculate j(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.36846.\nAnswer: -1.8423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.08, -1\/3, 4, 5, 17202\/5 in decreasing order.\nAnswer: 17202\/5, 5, 4, -0.08, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 - q**4 + 2*q**4 - 2*q**2 + q**4 + 2*q**2 + (6*q - 6*q - 4*q**3)*(-q + 0*q + 4*q) + q**4 + 2*q**4 - 2*q**4.\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 346 - 270. Which is greater: -18 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add 9262.12 and -0.03929.\nAnswer: 9262.08071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.382 - 16.934337?\nAnswer: -17.316337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7 + 2 + 5*r - 4 + 0 - 11*r**2. Let t(j) = -j**2 + 1. Let w(g) = -5*t(g) + y(g). What is the second derivative of w(x) wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 836679 and 363979?\nAnswer: 4727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 61*h. Let x(r) = 19. Let l(s) = -13*s + 1482. Let o(p) = -l(p) + 78*x(p). Determine q(o(i)).\nAnswer: 793*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 6\/43 (b) 0.4 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 5*o**2 + 6*o + 5. Let f be m(6). Suppose -2*w = -2*a + a + f, a - 4*w = -1. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102601*u - 102730*u + 2 + 205134*u.\nAnswer: -197*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101912, 815096, 2750890, 6520598, 12735524, 22006972, 34946246, 52164650?\nAnswer: 74273488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22165 - -40413. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4500564, -9001066, -13501568, -18002070, -22502572, -27003074?\nAnswer: -31503576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154770?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*z**2 + 373*z**2 + 243*z**2 - 86*z**2 as i + q*z**2 + s*z and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 3:28 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36029 - -36029. Determine h so that 0*h**3 + 15\/2*h**4 + o*h - 5\/2*h**5 - 10*h**2 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 3*k - k)*(1 + 2 - 2)*(-5*k + 4*k + 4*k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/10 + -6 + 7. Let c(s) = -2*s - 3. Let a be c(-3). Solve a*g - 6 - 9 = w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 2:57 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 + (-146)\/18 - -53*24\/27 is divided by 45?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 29 (b) 0.3 (c) 3 (d) 201 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/42 and (3128\/(-48))\/(-17)*(459\/(-240) - -2).\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 883.97 + -873. What is o rounded to one dp?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 3 + 1 - r**2 - r**3 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13982 and 1076652\/77 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -6*v + 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 9 - 11 - (-5 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 0*x + 0 + 14\/3*x**2 - 19\/3*x**3 - x**4 = 0.\nAnswer: -7, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)\/u)**8*u**(2\/9)*u\/u**(-2\/19) assuming u is positive.\nAnswer: u**(-3877\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**3 - 121*j**2 - 22*j - 40. Determine p(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2915667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(4032) - (sqrt(4032)*2 + sqrt(4032))**2) + sqrt(4032).\nAnswer: -36288 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b + 25. Suppose -z + 13 = b*y, -z - 4*y + 23 = 4*z. Suppose 4*v - 7*k = -3*k + 80, -z*k = -5*v + 90. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 2 (b) 0.1 (c) -4\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110 - 100010110010?\nAnswer: -100011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*((sqrt(135)\/sqrt(20) - sqrt(27)) + 6*(sqrt(75) + 2))**2.\nAnswer: 2052*sqrt(3) + 30973\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 194744.\nAnswer: 1\/194744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1410\/(-8))\/((-3)\/1716). Suppose 2*x + 3*x - a = 0. Suppose 2837 + x = -y. What is y rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2178 - 1850 + 635 - 1777)*(10*w - 3 - 9*w - 4).\nAnswer: -5170*w + 36190","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 - 3 + 5)*(6*d**2 + 0*d**2 + 3*d**3 - 23*d**2) to the form y + w*d**3 + j*d + h*d**2 and give h.\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21978 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.1, 5\/358?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 9*x**2 + 7*x - 5. Let s be k(-8). Let h be s + 27 - (-1)\/1. Suppose 0 = -2*w + 129 - h. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39105 - -97022. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 2, 5054, -2, -1 in increasing order.\nAnswer: -2, -1, 0, 1, 2, 5054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -1197575236*k**5 - 27543676732*k**4 - 51483000204*k**3 - 25125272500*k**2 + 11624864*k - 1344 = 0.\nAnswer: -21, -1, 4\/17303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 30983540 to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.14 - -8. Let m = 0.14 + k. What is the closest to m in 1, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580.376s in nanoseconds?\nAnswer: 580376000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -13*t + 51 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22272266?\nAnswer: 2, 41, 47, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 880*r - 294*r - 272*r - 275*r.\nAnswer: 39*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/13959 and -16\/1838781.\nAnswer: 20226591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b + 184. Suppose 2*l = -z - 39, 4*z = z - 4*l - 113. Calculate the remainder when v(z) is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 373.7 * 3.6.\nAnswer: 1345.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45352189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*y**4\/3 + 20582*y**3\/3 - 2572*y**2.\nAnswer: -2*y**2*(y - 1286)*(8*y - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**4\/12 - 242*t. Let k(s) = -357*s. Calculate k(q(r)).\nAnswer: 357*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 1:34 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404*i - 1063 + 1539 = -1544. Which is the third smallest value? (a) -0.3 (b) -1\/6 (c) i (d) 6 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 0*x - 2\/3*x**3 - 3\/2*x**2 - 2. Find the second derivative of u(k) wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4 + 18604*q**3 - 86471374*q**2 - 519330660*q - 779247225 = 0.\nAnswer: -3, 9305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - w - 7, f - 4*w + 6 = 0. What is the units digit of ((-4)\/f)\/(8\/136)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = p + 13*m - 2139, 0 = -2*m + 4. List the prime factors of p.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/6, -7847, -2\/11, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.746 + 5.746. Let h = 0.4 + -1.2. Sort h, -5, b.\nAnswer: -5, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**3 - q**2 + 9*q**2 - 32*q**3 - 19*q**3.\nAnswer: -58*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.8 + 13.2. Let t = j - -0.2. Suppose 0*y - 3*y = 12. Which is the second biggest value? (a) y (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5364*f**2 + 1277*f**3 - 12*f + 12*f - 258*f**3 + 6168*f**2 wrt f?\nAnswer: 6114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -263.44 + 256. Let a = 9.6 - d. Let u = -17 + a. Are 0.4 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 + 24*d + 34. Let t be f(-7). Let w(n) = -13. Let p(v) = v**3 + 1. Determine t*p(x) + w(x).\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -31*h + 33*h - 572, 5*i = 3*h + 726. What is the greatest common factor of 1488 and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(4598)*-3)\/(sqrt(288) + (sqrt(2) - sqrt(288))).\nAnswer: 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -1) + (0 - 1). Let a be -204 + -6*1\/(-3) + 1. Let f = a - -1008\/5. Which is smaller: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.95 + -0.05. Let q = 1.73 - 1.4. Let g = 0.07 + q. Sort t, g, -5 in ascending order.\nAnswer: -5, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -8543b9c?\nAnswer: 8543ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 5*d + 1. Let i be x(-4). Suppose i*k = 4 + 1. Let g = 3 - 2. Calculate the remainder when g is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.86018 rounded to two dps?\nAnswer: -2.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 107 + 619 = 0. What is the hundreds digit of 220\/b*(-2)\/(20\/954)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 0*q**3 + q**2 + 0 - 1\/60*q**5 + 0*q - 1\/30*q**6 + 0*q**4. Find the third derivative of c(f) wrt f.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4857 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 -4*i = 3*j - 11, i + 6*j - 3*j = 5. Let y(c) = c**2 + c - 1. What is the units digit of y(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 6*n - 3. Let q be u(-5). Let p be -6 + 9 + (-4)\/q. Solve -4*k = -5*k + 4*m - 4, -k + m = p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35.094 + 35.184. Which is the biggest value? (a) t (b) -21 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5170 and 132?\nAnswer: 31020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67.5588 - -33.29. Let t = x - -34.2. Round t to three decimal places.\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002001681 to 7 dps.\nAnswer: 0.0002002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1893936 and 7174.\nAnswer: 1893936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 11 and -48\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 - 20*s**3 - 135*s**2 - 190*s - 80.\nAnswer: 5*(s - 8)*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(-11)\/o*o))\/o**(-2\/23))**(21\/4))**6 assuming o is positive.\nAnswer: o**(8757\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 120?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 107232 and 49635012.\nAnswer: 397080096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10124 - -10156. Solve -16 = 4*w, -5*j - 5*w + 27 = a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -4\/4273 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*a + 7239, -3*a - 8168 - 13540 = -3*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11288 is divided by 104?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9280 + 12455. Is 3174 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -303*x - 31*x - 728*x + (0 - 1 + 0)*(-3*x + 3*x - 2*x).\nAnswer: -1060*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*p**4 - 108*p**3 + 1373 with respect to p.\nAnswer: -16*p**3 - 324*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/8 + 7144\/(-1254)*(-3)\/(-16) and 4\/(-18) + (-2751)\/(-5454).\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2688*b - 2679*b - 81 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 + 121.4. Round f to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*i = 8. Suppose 6 = -2*m - i. Let r = m + 24. Calculate the least common multiple of r and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9898 is divided by 165?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*l - 1411 - 69 = 0. Solve 129 - 109 = l*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 7)*(-9 + 9 - 3*a + (-1 + 2 + 1)*(0 - a + 0)).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/62 in -3, 8, -0.0398, 1?\nAnswer: -0.0398","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by (8 + 4)\/3 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*w - 2*g = -16, 12 = -2*w + 3*g. Let p(u) = -2*u**3 + 30 + 5*u**2 - 79 + 52. Let c(d) = -d**3 + d**2 + 1. Calculate w*c(k) + p(k).\nAnswer: k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 247894 and 164611.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 98 + 49. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6867215, -6867214, -6867213, -6867212, -6867211, -6867210?\n\"Answer: x - 6867216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -27*a - 2. Let m(j) = 28*j**2. Calculate d(m(x)).\nAnswer: -756*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -903 + 90. Suppose -265 + s = 2*t. Suppose -20 = -6*k + 2*k. Solve k*w - 2*u - 5 = 0, -4*w - 2 = -u - t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**4)**(-2\/9)\/((t*t**(-5)*t)\/t*t)**(-1) assuming t is positive.\nAnswer: t**(-37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 321254265 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 656 and 656 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3300 (base 5) in base 7?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 0*w + 19\/3*w**3 + 2*w**2 + 51 - 1\/12*w**4. Let k(f) be the third derivative of f**4\/24 - f**2. Give j(k(y)).\nAnswer: -2*y + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*p - 3*s, -2*p - s = -0*s - 2. List the prime factors of -2*((-2)\/1)\/p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - 11.2388\nAnswer: -27.2388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -321011 and -86096.\nAnswer: -407107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 405, -1, 1\/2, 5, -5 in decreasing order.\nAnswer: 405, 5, 1\/2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3398*h**2 - 1373*h**2 - 1097*h**2 + 0 - 1298*h**2.\nAnswer: -370*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*m + 2*z, 5*z + 44 - 4 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1584*w. Let x(k) = 21*k**2 - 7*k**2 - 12*k**2 - 1345 + 1345. Give x(o(u)).\nAnswer: 5018112*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743491738.\nAnswer: 2, 11, 53, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.2, -4, 1, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + w - 7. Let r be a(-5). Let p = r + -9. Is ((-22)\/p + 2)*-26 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 16892*s - 16893*s + 18 = 0, 0 = -w - s - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 20, -u + 5 = 3*o - 2*o. Suppose 0 = -6*f - 6 - o. Let m be (112\/(-7))\/4*(-4 + f). Which is smaller: 19 or m?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9856*c**4 - 371*c**3 + 12116546 wrt c?\nAnswer: 39424*c**3 - 1113*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 2*i - 2*i**3 - 2*i**2)*(-1 + 0 - 1 + (-2 - 2 + 3)*(-4 - 1 - 4) - 22 + 139 + 5) + (4*i - 2*i + i)*(3*i**2 - 5*i**2 + 0*i**2).\nAnswer: -264*i**3 + 258*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -f - 9, 0*f - 2*f - 5*c - 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - -3.96. Let m be ((-6)\/(-24))\/(-1)*-16. Let r be -3 - ((-4)\/24 - 6\/m). What is the closest to -8 in r, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -890 = 1770*w - 1775*w. Is w a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 3*a - 2*a + (-3 + 2 + 0)*(-2*a - 2*a + 2*a) + 7*a - 3*a - 3*a + a + 2*a + a - a + 3*a + 2*a)*(a + 2*a + 0*a).\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66910902 and -0.4.\nAnswer: -26764360.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2154*m**4 + 2150*m**3 + 4312*m**2 + 8*m = 0?\nAnswer: -1, -2\/1077, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 11*t**2 + 20*t - 204. Calculate the remainder when g(7) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4857923 to two dps.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -213.\nAnswer: 42.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g + 1395 = 1443 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 5*h**2 - 3*h + 21. Suppose 14*d - 12 = 58. Let x be g(d). Solve -5*l = -2*l + x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3521410299?\nAnswer: 3, 11, 113, 314777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -28. Let r be 2*(4 + (-36)\/d). Let g = r - -18. Solve -h = -2*h + g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22531 is divided by 143?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**8\/840 + s**4\/12 + s**3\/3 + 3. Let k(i) be the third derivative of p(i). Differentiate k(n) with respect to n.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13447605, -13447607, -13447619, -13447647, -13447697, -13447775, -13447887?\n\"Answer: -x**3 + x**2 + 2*x - 13447607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7087, 7077, 7057, 7021, 6963, 6877, 6757?\nAnswer: 6597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3170 - -4485. Suppose -2*l = 4*g - 1046, -5*g + y = 4*l - 0*l. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7609373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4840\/(-23232)*(-4)\/(-15)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 13. What is the smallest common multiple of 54 and l?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 5:18 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + o**3 + (1520*o + 3798*o - 136*o)*(-4*o**2 + 5*o**2 - 3*o**2).\nAnswer: -10363*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*n + 200, 3*n + 54 - 196 = 5*r. What are the prime factors of n?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141121400 (base 5) in base 15?\nAnswer: e44d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 10:05 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-324)\/((-1512)\/(-42))*(-10)\/(-2).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96328197 < 96328196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 55, 73, 85, 91, 91?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 - -0.3. Let a(r) = -r**3 - 40*r**2 + 39*r - 80. Suppose l + 2 = 0, -11*y + 2*l = -8*y + 119. Let i be a(y). What is the closest to -2 in v, i, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 2*t + 46. Let b be x(0). Let j be (-165)\/4 + (-12)\/16. Let v = j + b. Solve s + 15 = -v*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49520042.\nAnswer: 2, 11, 13, 19, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 6077 = 16*c - 5479. What is the remainder when c is divided by 218?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151297345 by -30259469.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8405280 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 25\/6 and -0.0055 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 20 = -4. Let j(g) = -2*g - 9. Let i be j(w). Find the second derivative of -i*m + 2956*m**4 - 9*m - 2948*m**4 wrt m.\nAnswer: 96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**(-1\/4))\/v*(v\/(v*v**(-2\/3))*v)\/v)\/(v\/v**(1\/3)*v**(1\/2)\/v))**(-33))**8 assuming v is positive.\nAnswer: v**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4\/4 - 5*y**3\/4 - 35*y**2\/4 + 65*y\/4 - 15\/2.\nAnswer: 5*(y - 2)*(y - 1)**2*(y + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -30.6 and -177461.\nAnswer: -177491.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, 9, -1389, -2 in decreasing order.\nAnswer: 75, 9, -2, -1389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 24*k**2 - 74*k - 10. Give h(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40828.5 and -6?\nAnswer: 244971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/60*-6*(1715\/14)\/(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*-395.8.\nAnswer: -51.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1898180 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 - -1a149a?\nAnswer: 1a144a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by -1*10\/5 - (-4 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.5. Let s = -2.2 - k. Let z = 2.000004 + s. Round z to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/25, -0.1, 260, -1\/5, 4, 0 in descending order.\nAnswer: 260, 4, 6\/25, 0, -0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -13.91. Let j = t - 0.0900007. Round j to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*b**4 + 27*b**3 - 36*b**2 - 12*b.\nAnswer: 3*b*(b - 1)*(b + 2)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*n + 21072, -103*n + 99*n + 2*q + 21086 = 0. What are the prime factors of n?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25073272 by 22.\nAnswer: 12536636\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 838 and 9.\nAnswer: 7542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 0*l**5 - 11*l**4 + 0*l**3 + 0 + 0*l**2 - 23\/6*l**6 - 59*l. What is the third derivative of u(s) wrt s?\nAnswer: -2760*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57933705*c*t**2 + t**2 + t + 453818 wrt c.\nAnswer: -57933705*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-10)\/((-2600)\/(-117)))\/((-24)\/280))\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 120868*t - 241732.\nAnswer: -(t - 120866)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/11)\/u)\/(u**(-6)*u))\/(u**(-1)*(u**(3\/2)\/u)\/u) assuming u is positive.\nAnswer: u**(119\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11277167635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/3 + 298096*k\/3 + 11107653152\/3 = 0 for k.\nAnswer: -74524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 3*f + 15*f - 221 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = -4*y, 3*p + 2*y - 15 = -3*y. What is the third smallest value in -3\/4, -1\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 29*z**2 - 4. Suppose -8*i - 21 = -i. What is the hundreds digit of k(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**6\/45 + t**5\/18 - t**4\/36 + 3*t**2\/2 - t. Let g(h) be the first derivative of s(h). Solve g(w) = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 46 = 2*w, 4*m + m = 3*w + 52. Suppose 0 = -4*s + m + 1. Solve -2*q**3 + 0*q**3 - 3*q**2 - 3*q**s + 4*q**3 - 2*q = 0 for q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85063275 and 4455.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -1. Suppose -4*g + 3*g = -2. Find the third derivative of 3*u - q*u + g*u**2 + u**4 wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 4) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 1\/2, -3\/2, -0.3.\nAnswer: -3\/2, -0.3, 1\/2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19214?\nAnswer: 2, 13, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 - -3.93. Let z = 7 - 26. Let d = z - -19.3. Which is the nearest to 2\/11? (a) 5 (b) n (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3 + 3*f**2 + 201712*f - 448607816.\nAnswer: 3*f**2 + 6*f + 201712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.05, -25, 2\/3, 0.024, 44?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893 is divided by 269.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 471 + -5113?\nAnswer: -4422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - o + 1)*(2*o - 4*o + o) + (o + 0*o + 0*o)*(-o - o + 0*o) - 2*o**2 - 2*o**2 + 2*o**2 + (-2*o + 0 + 0)*(3 + 2*o - 3) + o**2 + 0*o + 0*o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -4*o - 28. Suppose o + 2 = 4*y + l, -3*l - 16 = -4*y. What is the second derivative of -3 - j + 3 - y*j + 16*j**2 wrt j?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 634 + -905. Is -5*(a*1 - 10\/(-5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 771*k**2 - 4782*k - 12624.\nAnswer: 3*(k - 8)*(k + 2)*(k + 263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 take away -38.4828?\nAnswer: 57.4828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3279620 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 8. Suppose -35 = 4*r - d, -4*d = r + 3 + 10. Let b be q(r). Let h(l) = l**3 - b + 0*l + 4*l**2 + 4 - l. Give h(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 9*p**2 + 9*p + 11. Let m be x(-8). Suppose -8*y = m*y + 176. Sort y, -3, -4, -1 in descending order.\nAnswer: -1, -3, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007123 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1014*q - 12107 = 170 + 26784 + 7583 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00327135791 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-12) + (-4)\/(-16). Put -6, 2, k in decreasing order.\nAnswer: 2, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14547.7864 - -5.\nAnswer: -14542.7864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*z**3 - 4 - 2*z**4 + 4*z**4 - 10*z**3 - 2*z as b*z**4 + l*z**2 + m*z + v + c*z**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a + 76527 - 11*a + 45*a - 16*a.\nAnswer: -2*a + 76527","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130 + 54. Let t = 76.000000087 + y. What is t rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 300286 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10500120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -103*y + 3. What is the tens digit of g(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 3. Let a be s(-6). Let t be 12 + (-4 + -22 - -14). Sort t, a, 2 in increasing order.\nAnswer: a, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 5*c - 3*c)*(7 + 8 - 4).\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h - 8 = -20*h. Let d(k) = -k**2 - 4*k - 14. Let m be d(-6). Let t be (-2)\/h + m\/(-8). Let l(j) = 5*j + 4. Give l(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 54?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29 and 53\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 124 and 434.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163365.\nAnswer: 3, 5, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 7 + (-7 - (8 - 4)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 311, 698, 1241?\nAnswer: 1940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 - 7*n. Let b(u) = -6144696*u. Determine b(r(w)).\nAnswer: 18434088*w**2 + 43012872*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2790526*q**2 - 2387152.\nAnswer: 5581052*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 6. Let y(n) = -n**2 - 8*n + 1. Determine y(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 5*q**4\/4 + 7*q**2\/2 - 2*q - 14682. Let p(f) = -f**3 + 4*f**2 - f - 4*f**2. Determine 6*p(y) + u(y).\nAnswer: -y**3 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -4. Suppose 2*s = 2*u + 8 + i, 4*u = -4*s - 4. Sort 3, -3, u in descending order.\nAnswer: 3, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**28\/g)\/((g\/(g\/(g\/(g\/(g**(2\/73)\/g))))*g)\/g)*g**(-2\/25)*g**(-7\/5) assuming g is positive.\nAnswer: g**(48349\/1825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i - 3*i**2 - 2*i - 2*i as o*i**2 + h + j*i and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 989212621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + c. Let g(s) = 115*s - 57*s + 2*s**2 - 3*s**3 - s**3 - 60*s. Give -g(b) - 2*n(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 11*v**2 + 161*v + 10. What is the least common multiple of 20 and d(-17)?\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6214041, -12428081, -18642121?\nAnswer: -24856161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.64 to zero dps.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.25447 and -0.5.\nAnswer: -0.627235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -1 + 0 + 0. Let f be ((-2)\/(-4))\/(6\/12). Suppose 2*q - z = f. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from eheegueadgghhhddh?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799526661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 3398\/645?\nAnswer: 3398\/645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3328) + (sqrt(3328) - 1*sqrt(3328)))\/((sqrt(120)\/sqrt(3))\/sqrt(10)))**2 + (sqrt(13)*2 + 3 - sqrt(117)*-5) + -4 + -1 + sqrt(13) + sqrt(117).\nAnswer: 21*sqrt(13) + 830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 547273459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*f + 227 - 300*f**3 - 486 - 361*f**2 - f + 262 wrt f?\nAnswer: -1800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + sqrt(162) + -2 + 3.\nAnswer: 1 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 21*t - 25. Determine i(-19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 105*p - 182. Let k = -236 - -239. Let n(l) = 208*l - 365. Let s(u) = k*n(u) - 5*c(u). What is the derivative of s(v) wrt v?\nAnswer: 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -336 - -353. Let w(r) = r**2 - 9*r - 44. Let a be w(x). Calculate the greatest common factor of 322 and a.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(0 + (-5)\/(-10))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27769982 to the nearest integer?\nAnswer: 5270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/51 and -14\/51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*k**2 + 8\/3*k**3 - 2\/3*k**5 + 0*k**4 + 0*k.\nAnswer: -2*k**3*(k - 2)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - sqrt(76)*1*-6)**2.\nAnswer: 3724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(3\/4)*i**(4\/5))\/(((i\/(i*i**(2\/7)*i)*i)\/i*i)\/(i**1\/i)))\/((i*i\/((i*i*(i**0*i)\/i*i)\/i)*i*i)**(-35))**(14\/13) assuming i is positive.\nAnswer: i**(139631\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a1130 (base 12) to base 4.\nAnswer: -303011310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 14 + 11 = 0, -4*v = -5*l - 15. Let w be (-43 + l)\/((-24)\/16). Suppose 271000 = -w*g + 33*g. Round g to the nearest one thousand.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006577 to 5 dps.\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*v**2 + 13*v**2 - 1 + 2 + (2*v**2 - 2*v**2 + 2*v**2)*(0 - 2 + 3) as q*v**2 + o + j*v and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.02374 times -0.022\nAnswer: -0.00052228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15412117*u**4 - u**3 + 8*u**2 - 645611916*u.\nAnswer: -184945404*u**2 - 6*u + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*b - 82*b - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 0.13714206?\nAnswer: -2.13714206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1214950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38544?\nAnswer: 2, 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 10*z - 1. Let f be y(-6). Let q be (126\/8)\/(1\/4). Let s = f + q. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + j + 2. Let b(l) = -123*l**2 - 39*l - 78. Give 2*b(z) + 78*f(z).\nAnswer: -324*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a + 1. Let t = -1 + -7. Let n = t + 20. What is the remainder when n is divided by v(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 403654.95 to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {m: 2, r: 1, g: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*o - 14*o**4 - 6*o**4 - 9*o wrt o?\nAnswer: -240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u - 19*u**3 - 9*u + 16*u.\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n - 57. Let b be x(0). Let k = b + 55. Which is bigger: -8\/5 or k?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**2))\/w)**35 assuming w is positive.\nAnswer: w**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/297 and 62\/1089?\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -742*y - 60. Let s be n(-3). Suppose 88*b - s = 69*b. What is the least common multiple of 19 and b?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-5*(-2 + sqrt(432) - sqrt(432)) - sqrt(432)) + (sqrt(432) - -1*sqrt(432) - sqrt(432))*3))**2 + (-3 + sqrt(432)*5 - 2*(sqrt(432)*-5)**2).\nAnswer: -19775 + 540*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10 and -49461?\nAnswer: 49471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.63659.\nAnswer: 0.254636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 908 + 2 = 77*c - 14 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.328 - 0.5553.\nAnswer: -19.8833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 + 3*q + 1. Let r(g) = g. Give n(w) - 3*r(w).\nAnswer: -2*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (3\/(-20))\/(6\/116). Which is the smallest value? (a) 0 (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.12 != 7851.401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2*q + 2*q)*(-60 + 35 - 31)*(-3 - 1 + 2).\nAnswer: -224*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132.53889 months to centuries.\nAnswer: 0.110449075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrl when three letters picked without replacement from rbelfffffffffffllr?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.2 (b) -0.5 (c) -0.07 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1401*b**5 + 3*b + 181 wrt b?\nAnswer: -28020*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -1\/3*k**4 - 2*k + 4\/3*k**3 + 0 + 8*k**2 - 1\/10*k**5. Determine g, given that v(g) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3f + -2f?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -241*f + 12016. Determine d(34).\nAnswer: 3822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -3 - (873 + -857 - (-9 + 0)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3592 - 2?\nAnswer: 3590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 1. Suppose 0 = 4*s + b - 24 - 0, 40 = z*s - 3*b. Let t = 17 - s. What is the smallest common multiple of t and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-100)\/96 - -5 - 78\/(-208).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8406*q**3 + 7008*q.\nAnswer: -50436*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9754653g in nanograms?\nAnswer: 975465300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 11. Let o be -6 + -6 + (-4 - -8). Let a be p(o). Solve 0 = -u + a - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/14)\/((-2)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -25*t**2 + 2*t - 3. Let q be u(3). What are the prime factors of (-7)\/(-49) + q\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-2*r + 0 + 0)*(-6 + 3 - 2) + (5*r - 2*r - 4*r)*(-1 + 3 + 0) + r - r - 2*r + 1 - 1 + 2*r + 2*r + r + r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 6*v - 3243 + 1817 + 1426.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -17*z + 768. Calculate j(59).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -14. Let q = -1 - d. Suppose 0 = 2*b - z + 11, -3*b + q*z = 2*z + 14. Let g(f) = f**2 + 5*f - 1. Give g(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + x + 5. Let v be n(5). Let z be (v\/(-6))\/(2\/4). Suppose -56 = -4*w + 4*o + 24, 0 = 4*o - 20. Calculate the greatest common divisor of z and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a minute in seconds?\nAnswer: 915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3939447 >= 3939444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9666385303 - -44.4\nAnswer: -9666385258.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*p + 3*p - 66230, 0 = 3*u - p - 198710. Let n = u + 103764. Round n to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**3 - 2905*w**2 + 107428*w. What is g(-1004)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = -f - 77. What is the lowest common multiple of 9\/(-36) + 4\/((-64)\/f) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -d6?\nAnswer: d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103 - -103.4. Let b = 2 + -2.5. Put s, b, 5 in ascending order.\nAnswer: b, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i - 1284 = -19*i + 3*d, -3*i = -4*d - 3842. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 8965.534776?\nAnswer: 8965.834776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 1. Let y(l) be the first derivative of 4*l**3\/3 + 5*l**2\/2 + 5*l - 72. Suppose 5*o = -3 - 2. Give o*y(q) + 5*h(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3539 and -2520.\nAnswer: -8918280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 26. Suppose -16 + 4 = l*q. Let z(y) = -y**2 - 5*y + 2. Calculate z(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 15. Suppose 4*u - b = 14, -7 - y = -3*u - b. Suppose 20 = 4*o + u*g, -4*g + 1 = -5*o - 1. Solve -i + o*i = -2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 less than -5351?\nAnswer: -5552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 176 = -2*c + 2*c + 144*w, 34*w = 35*w for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13012301313 (base 4) in base 3?\nAnswer: -10111122020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26701 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 4:18 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-34) - (-7)\/(1904\/5224336) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39\/2 in 2\/105, 39, 10, 1\/4, 0.5?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4044201 + 2?\nAnswer: 4044203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -393*d + 25. What is x(3)?\nAnswer: -1154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**4\/4 + 11*d**3\/3 - 2*d**2 - 14*d - 13. What is the units digit of j(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -9*g**2 + g**3 - 9 + 11 + 22*g**2. Let c be w(-13). Let z(i) = i**2 - 11*i + 13. Let o be z(10). Solve c*y = o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**8\/14 - 21*z**4\/8 + z**3\/3 + 327*z**2. Find the second derivative of j(i) wrt i.\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8.4689 from -144.\nAnswer: -135.5311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.68729493 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -a - 0*x - 5, a + 3*x + 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5637665 - 10.1.\nAnswer: 5637654.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 16*w**2 - 16*w + 17. Let k(m) = -39*m + 27 + 92*m - 49*m. Let f be k(-11). Let t be l(f). Solve -3*o = -t*o - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117019471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2640 = 2*f. Suppose -11*y - 209 + f = 0. Calculate the remainder when y is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 693?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmmmmiyyamimimqymm. What is prob of picking 1 l and 1 q?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 122848\/9 <= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12020 (base 4) in base 12?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d - 4. Let b be 1 + d\/2 + (-54)\/18. Let r(h) = -3*h - 3. Let n(c) = -c**2 - 6*c - 5. Let z(q) = b*n(q) + 5*r(q). Suppose z(t) = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 z when three letters picked without replacement from bngnzzta.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k. Let w(s) = -7*s. Let h(z) = -5*m(z) + 3*w(z). Is 17 a factor of h(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = 20*o + 42*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = q + 4*l + l, 4*q - 4*l = 424. List the prime factors of q.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10872694*b**4 - 10333313*b**2 wrt b.\nAnswer: -260944656*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 23*q - 30. Let z be c(18). Calculate the highest common divisor of z and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194376 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 5:21 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9049 divided by -3.\nAnswer: -9049\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 11*b - 12. Let a be z(4). Suppose -3*q + l + 76 = 0, -a = -q - 0*q + 2*l. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -128*l + 1465. What is t(9)?\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 175*d - 5352 = -44*d for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10640 (b) 0.03 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -30548019.\nAnswer: -152740095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.94 - 8. Let y = 15.5 - 16. Which is the smallest value? (a) -3 (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -244273, 5, 1\/9, -3.\nAnswer: -244273, -3, -1, 1\/9, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + (0 + sqrt(171))**2 - sqrt(171)) + sqrt(171))*-3.\nAnswer: -513 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**3\/7 - 6*s**2\/7 - 24*s\/7 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7061013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -2) + (2 - -3). Let l(q) = q**3 + 5*q**2 - 3*q - 1. Let i be l(-5). Suppose -2*n + i = -42. Calculate the highest common factor of n and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(20\/30*(-6)\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z - 9. Let s = -83\/455 + 1\/35. Which is the third biggest value? (a) -3 (b) s (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 + 60. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -123.\nAnswer: -26\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 74*a - 3124. Calculate the least common multiple of u(94) and 2874.\nAnswer: 11496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 + 153*p\/4 - 159\/2.\nAnswer: 3*(p - 2)*(p + 53)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 107 + (0 - -4) + -7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392076.\nAnswer: 2, 3, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(56) - -3*-3*sqrt(56))*-1)\/(sqrt(1152) - (sqrt(1152) - 1*sqrt(1152)*-2)).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((1 + -3)\/10)\/(24\/60). Which is the nearest to 4? (a) -0.2 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 + 940*s**3 + 33694*s**2 + 291312*s.\nAnswer: -2*s*(s - 504)*(s + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-6 - -1))\/(((-60)\/(-645))\/(404\/8686))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(3\/7)\/g))**(-4\/13) assuming g is positive.\nAnswer: g**(-16\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 13 (b) -0.2 (c) 7 (d) -13 (e) 2\/103\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 99*n + 43*n - 252*n + 98*n. Let s(a) = -4*a + 5. Let p(h) = -h + 1. Let c(j) = 5*p(j) - s(j). Give r(c(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -12*l - 4. Let f(y) = 12*y + 3. Suppose -3*j - 1 = 11. Let v(h) = j*g(h) - 5*f(h). What is the units digit of v(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 227768 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 0*l = -4*l, -4*b - 5*l + 41 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54134, -54131, -54128?\nAnswer: -54125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -45, -6, 79, 234, 483, 850, 1359?\nAnswer: 2034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111300 (base 4) in base 15?\nAnswer: 62c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {z: 8, k: 2, v: 2}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-160)\/(-100)*((-1)\/1)\/(-4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 1733*v + 38157. Determine t(-22).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-9) + (-84)\/(-18). Let k(x) = x**2 - 4*x + 3. Let z be k(5). Suppose -f*v - 66 = -z*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmrm when four letters picked without replacement from rmmrmrrrrmrmrrmrrr.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 1174150*l**2 - 172329114886*l - 172327940738.\nAnswer: -2*(l + 1)*(l + 293537)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 l, and 1 k when four letters picked without replacement from {a: 2, k: 1, n: 5, l: 8}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6113055 (base 7) to base 11\nAnswer: -456646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 2:55 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {e: 1, n: 3, s: 1, c: 5, d: 1, r: 3}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/62121 and 139\/60.\nAnswer: 1242420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 15 - 15 + 3*p**2. Is x(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or 34215470?\nAnswer: 34215470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 4, 1042 in decreasing order.\nAnswer: 1042, 4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrr. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - f**2 - 214*f - 1659. Let a be y(-7). Which is greater: a or 805\/6?\nAnswer: 805\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*r**2 + 4925637 - 4925637.\nAnswer: -108*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -605 and 6?\nAnswer: -3630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2023942 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 = 5, -2*b = -5*t - 19. Let x = 8255\/9 - 917. Is x != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 23.2\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 79 = 81. Calculate the remainder when h is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.18 + -8.82. Let s = -968337284 - -968337293.00000009. Let m = y + s. Round m to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/4*4\/(-5). Suppose 2*m - 7 - 1 = 0. Suppose n - 4*n + 4*u = m, 20 = 3*n + z*u. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33.3 * -4.4.\nAnswer: -146.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -171*g*n**4 + g*n**3 - g*n - 2851*g + 851*n**5 + 23*n**2 wrt n?\nAnswer: -4104*g*n + 6*g + 51060*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -112312 (b) -9\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, k: 8, a: 2}. Give prob of picking 1 a and 1 b.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 16*r + 99. What is q(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4445)\/(-3810) - 118\/132. What is the closest to -2\/9 in -4, g, -0.06, -3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -9. Let l be (-8)\/14 - 160\/(-35). Suppose -l*u = u - 200. What is the smallest common multiple of u and k?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*2*-2 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*1*sqrt(104))\/((sqrt(64) + (sqrt(64) - 4*sqrt(64)*1 - sqrt(64)))\/sqrt(8)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, y: 8, x: 1, e: 2, a: 1}. What is prob of picking 2 e?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 1 (b) 0 (c) 3 (d) 12 (e) -8457\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1 + 0*l + 6*l - 7*l - 19*l**3. Let s be f(1). Let m = 30 + s. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872)*-3 + 5 - (sqrt(1872)*2 + 2 + sqrt(1872) + sqrt(1872)).\nAnswer: -84*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008451 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/12 + (17 - 20 - 1092\/72)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3512396255.\nAnswer: 5, 31, 22660621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbcs when four letters picked without replacement from cdtscpbp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12620 is divided by 1277?\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 0. Let n(f) = 2*f**2 + 2*f + 5. Let o be n(i). What is the highest common divisor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 + 2*q**2 + 7*q - 10. Let w be l(3). Let p(i) = -i**2 - 37*i - 43. Is p(w) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1777920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/4, -1\/3, -1546?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + h = -8. Suppose 25 = 5*a - 85. What is the smallest common multiple of a and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -189 - -191. Let h be (-16857)\/135 + p\/(-15). Is h >= -125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*y - 194*y + 63*y + 36*y + 34*y - 7 + 37*y.\nAnswer: 9*y - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1376.8 rounded to the nearest 10?\nAnswer: -1380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7654000 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.2 - 2.1. Let g = -0.85 + 0.75. Is g equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.61338 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144373 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/315 and -61\/6.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9443 - 703527814.\nAnswer: -703527813.0557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 11100010101?\nAnswer: 11100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7608 by -7608.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -10036, -1, 0.5 in decreasing order.\nAnswer: 0.5, 2\/7, -1, -10036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**3*q)*q**(-9\/5)*q**(2\/7)*q**(-1\/10))**(-4) assuming q is positive.\nAnswer: q**(646\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 l, and 1 k when three letters picked without replacement from ajvkvankkvlkjll.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 - 86*s**3 - 4*s**3 + 5*s**2.\nAnswer: -90*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.2685ms to seconds.\nAnswer: 0.0202685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 29 = r, -4*r + o - 3*o = -134. Let i = r + -23. Let y(p) = -p**2 - 13*p + 10. Let s be y(-13). Calculate the greatest common factor of i and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2443 - -2441.7. Which is greater: k or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - -13) + (-3002)\/437. Which is bigger: r or 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**3 - 340*y**2 - 31805*y - 31460 = 0.\nAnswer: -52, -1, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**3 - 6*t + 6. Suppose -4*z + 2*z = 34. Let f(d) = -14*d**3 - d**2 + 18*d - 17. Let u(x) = z*s(x) - 6*f(x). What is u(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 0. Sort q, 2, 14 in ascending order.\nAnswer: q, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 784 = 5*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1139873183 and 1.\nAnswer: -1139873182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4. Let r be -2*(-1)\/2*s. Solve 0 = 2*l - r - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3173.1 - 3173. Let m be (4\/6)\/(2\/(-12)). What is the nearest to -1 in -3, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 9 + 2*o + 26. Let d be i(-11). What are the prime factors of (57\/d)\/((-42)\/(-112))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/3870 - -871\/42570. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 3\/8, -11, 2, 4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -45, 3, 4.7?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2760171712?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 r when three letters picked without replacement from {r: 2, x: 4, t: 1}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 4)*-2 + -2. Let d be 1*-3*(t - -5). What is the greatest common divisor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - 7035\/245 - (-540)\/21\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37879308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 9:48 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 460?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2 + (2 - 3 - 1)*(-4 + 2 + 0))*(-7*d**5 + 3*d**5 + 0*d**5).\nAnswer: -12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 36. Suppose 0*u = u. Suppose x = -u*t + t. Solve t = -4*h + 4, 3*k + 2*h = 2*k + 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60176, 60171, 60166, 60161, 60156, 60151?\nAnswer: 60146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3572538 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 863, 0, 3, 8\/9, 0.01 in decreasing order.\nAnswer: 863, 3, 8\/9, 0.01, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39748651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105 + -86. Suppose u*z - 14*z = 40. Calculate the remainder when (z\/6)\/((-358)\/(-354) + -1) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1228, -85, -49 in increasing order.\nAnswer: -1228, -85, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -18. Suppose k*m + 175 = 3*s - 826, 5*m = 4*s - 1335. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -33\/104 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**4\/3 + 116*l**3\/3 + 128*l**2\/3 - 80*l = 0.\nAnswer: -2, 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1164*s*y**3 + 3*s*y**2 - 249*s + 17*y**3 + 3*y**2 + 733*y wrt y.\nAnswer: -6984*s*y + 6*s + 102*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 = 2*p. Let f be (-1 + -1)*p\/(-13). Let w be 1\/(-8) + (-18)\/112. What is the smallest value in w, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117868 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38697 a multiple of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170 - -388. Calculate the remainder when t is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.759509 kilograms to milligrams.\nAnswer: 7759509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u + 15. Suppose 0 = -3*a - 4*r + 28, -4*a = -5*a + u*r + 41. Let h = -6 + a. What is the remainder when 18 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14112 + -14165. Which is smaller: i or -376\/7?\nAnswer: -376\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) -55 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 6*j**2 + 6*j - 4. Let h be a(-7). Suppose h*o - 329 = 58. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 1. Let h be y(1). Suppose 4*d + q + 112396 = h, -2*d - 84296 = d + q. What is d rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -772*n - 517*n - 372*n + 159456 for n.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 10:19 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1cb (base 15) to base 11\nAnswer: -349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1084081mg in kilograms?\nAnswer: 0.0000001084081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -27149306.74 to the nearest one hundred.\nAnswer: -27149300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 287443428*t + 6885310358365932.\nAnswer: 3*(t - 47907238)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*(sqrt(175) + 3 + sqrt(175)) + -1)**2.\nAnswer: 53400*sqrt(7) + 637921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 541200 and 10800.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -182, -4, -1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 7:15 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -5, -22, -45, -74, -109, -150?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3378144 and 2310?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**3 - 708*u**2 - 8151*u = 0. Calculate u.\nAnswer: -11, 0, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34956 - 23171. Does 29 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 17869*s - 535. Let t(g) = -41*g + 1. Determine -k(o) - 535*t(o).\nAnswer: 4066*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*o**5\/25 - 433352*o**4\/25 - 85341976*o**3 + 186283200*o**2 = 0. What is o?\nAnswer: -9850, 0, 24\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001132248 to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22260 = 714*h - 7266 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/388521 and -7\/10572?\nAnswer: 1554084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30030 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) + (-136)\/(-14). Suppose -b - 151 = -5*h, 6*h - 4*h - 5*b - 65 = 0. Solve -y = -4*c - h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7. Suppose -3*b = -6*b + h + 65, -5*b + 4*h + 106 = q. Let x = b + 5. What is the highest common factor of 54 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5937875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1, -82, -315, -778, -1549, -2706?\n\"Answer: -13*q**3 + 2*q**2 + 4*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-6) - (-34)\/(-300)*5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/((-3 - -5)\/4) - -55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -968*h = -38*h + 17913 + 31377 for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.7 + 4.6. Let o = -191 - -174. Let x = 20 + o. What is the closest to -0.1 in x, 7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**3 + 13*i**2 - 4*i + 7. Let f(p) = 7*p**3 + 14*p**2 - 3*p + 8. Let a(n) = 5*f(n) - 6*x(n). Suppose 0 = -5*g - 26 - 19. Give a(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 228 + 101*p**3 + 383 + 391 + 127*p**3 - 7*p**3 wrt p?\nAnswer: 663*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38205, 76409, 114613, 152817?\nAnswer: 191021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**3)\/f**(-1\/3)*f**(11\/2))\/((f\/(f*(f*(f**(-1\/11)*f)\/f*f)\/f))\/f**(-2\/9))**(2\/9) assuming f is positive.\nAnswer: f**(8885\/1782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {a: 3, p: 17}?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*d - 1 = 194*d, 6*g - 161105 = -5*d. List the prime factors of g.\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414 + 12*q**3 + 830 - 416.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(24)\/(2*sqrt(8))*-2 + -5 + sqrt(972) + -2)**2.\nAnswer: -224*sqrt(3) + 817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91\/24 - -11\/3. Let v = -3 - -5. Let u = 1.5 - v. What is the closest to 1 in u, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1387 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6 - 3*q + 2 + 8*q.\nAnswer: 5*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 192?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07445668962 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 595 = -5*w + f + f, -w + 3*f - 106 = 0. Let p = -118 - w. Suppose 4*v + 6*o = p*o, o = -v. Are -11\/14 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, n: 2, y: 6, q: 2}. What is prob of picking 4 y?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10 - -36 - -1*4. Suppose -3 = 9*s - c. Is (s - 4358*(-3)\/6) + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -16. Let v = 25 - r. What is the highest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/3 = -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 370 + -31. Let f = -341 + p. Which is smaller: 170 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34717 divided by 6.\nAnswer: -34717\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 432, 484, 84, -774, -2096, -3888, -6156, -8906?\nAnswer: -12144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -30, -1\/2, -3\/4, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*y + 81*y + 63*y = 65*y + 9200 for y.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 53 + 21 = 0. Put -1\/2, 0.4, 1\/5, p in decreasing order.\nAnswer: p, 0.4, 1\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -159022.3136 to the nearest one hundred.\nAnswer: -159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from {y: 7, k: 7, j: 2}?\nAnswer: 49\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2 - 1716834*b + 245626581963 = 0 for b.\nAnswer: 286139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/26 and 73\/39?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 483 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c + 23*c**4 - 1730 + 1730 wrt c?\nAnswer: 276*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/4)\/1*6\/(-63).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/5)\/(10\/(-25)) - -8. Let i = 36 - j. Calculate the remainder when 91 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155 + -155. Which is smaller: 10\/23 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40148095318 - -5.822?\nAnswer: -40148095312.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2905595743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4353*c + 1721*c - 431*c + 4773*c to the form i + p*c and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/29, 0.05, -3\/13, -0.3?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 25. Let s(q) = -10*q + 11. Does 24 divide s(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1670479474 is divided by 2367.\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.383 or -2247109?\nAnswer: -2247109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237, -227, -185, -87, 91, 373, 783, 1345?\nAnswer: 2083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (8 - 8) - 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183076293?\nAnswer: 3, 89, 685679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2*o - 3*o)*(-2*o + o + 0*o) + (7872*o - 16140*o + 7475*o)*(3*o - 6*o + 2*o).\nAnswer: 795*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 + d**3 - 602 - 92 + 4*d**2.\nAnswer: d**3 - 694","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*t - 2*s, 5*t - 5*s - 1 = -2*s. Suppose 0 = t*u - 1 + 7. Is -47*4\/(-1) - u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5213277 rounded to three dps?\nAnswer: -3.521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 34 - 98*w**2)*(4*w - 7*w + w + (w - 4*w + w)*(1 - 1 - 2)).\nAnswer: -196*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380031594 is divided by 43?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -264 + -359. Let l = 912 + i. Find the third derivative of -298*f**2 - 7*f**3 + f**3 + l*f**2 wrt f.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rooooooooon. Give prob of picking 1 n and 1 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1049435.7 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 323605 - 323605 + 0*u**2 - 265*u**3.\nAnswer: -265*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7*20*64\/(-20480)\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**5\/20 + 15*y**4\/8 + 22*y**3 + 2*y**2 - 26*y. Factor q(u).\nAnswer: 3*(u + 4)*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3438 - -3435. Sort -0.4, -4, -2\/7, 3, r in increasing order.\nAnswer: -4, r, -0.4, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**3 + 3*n - 754. Let o be 4\/(-6) - 28\/(-6). Let b(h) = 2*h**2 - 4. Calculate o*x(f) + 3*b(f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(8\/4) - -1. Let f be (-1 - -4) + (-624)\/(-2). Suppose 3*x - 3*y - f = v, 2*y - 553 = -14*x + 9*x. What are the prime factors of x?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 8:05 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*k - 23395308066 - 7410011934 = 0. Round k to the nearest 1000000.\nAnswer: -210000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -142677340 - -97677340. What is p rounded to the nearest 1000000?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwn when three letters picked without replacement from {w: 7, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*c + 10*c - 19*c + (11 - 11 + c)*(1 - 1 + 1).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 6*p**2 + 3*p - 6. Let l be 10*((-6)\/4 + 1). Let d be k(l). What is the second biggest value in 0.4, d, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*923.4\nAnswer: 4617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24245116 to the power of 1\/2, to the nearest integer?\nAnswer: 4924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 15*z**2 - 16*z - 50. Let q(y) = 11*y**2 - 14*y - 49. Calculate 3*l(v) - 4*q(v).\nAnswer: v**2 + 8*v + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153))**2*-3.\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*c + 41, 3*c + 4*j + 5 = -0*j. Is (-2)\/c - 897\/(-21) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8367167*x - 9092147 wrt x.\nAnswer: 8367167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 385 divided by 77\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 3*d. Suppose 12 = -2*x - 3*i, -2*i - 23 = 5*x + 2*i. Let q(r) = -2*r**2 + 5*r. Let p(b) = x*q(b) + 5*j(b). Let s(m) = 2*m**2. Give p(s(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -95*h**2 - 95*h - 411. What is p(-4)?\nAnswer: -1551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33\/380 + 222019\/1140. Let w = 196 - t. Which is the nearest to -0.1? (a) -1\/2 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21\/11, 3\/14, -0.2, -5, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 50 = -k. Let i be (12\/(-15))\/((-1)\/k). Suppose 5*d - t - 2 = -0, -d + t + 2 = 0. Solve 0*w = 5*j + 2*w + 13, -2*w - i = d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 3:26 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l = -35. Let y = 17 + -2. Let i = y - l. What is the greatest common divisor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*90\/4*3\/(-30).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21993.4 rounded to the nearest one hundred?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 139.179 + 111897\nAnswer: 112036.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 25 = -2*t, f + 5*t - 19 = 3*t. Suppose -3*m + f = -10. Let o = m + 17. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -137*f + 119. Let i(t) = 62*t - 59. Let s(y) = 4*a(y) + 9*i(y). What is s(9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/15938 and 41\/8.\nAnswer: 63752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0*v**2 - 1 - 4*v**2.\nAnswer: -4*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26777 = 2*s + s + 4*b, 35690 = 4*s - b. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -4*(-60)\/(-3). Let b = o + 67. What is the least common multiple of b\/52 - ((-50)\/8)\/5 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.56495 micrometers to nanometers.\nAnswer: 7564.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-6)*-1*(-12)\/189?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208) + -3)*-6 - ((sqrt(13) - (-2 + sqrt(52))) + sqrt(39)\/(sqrt(3)*2))) + 2 + -3)**2.\nAnswer: -705*sqrt(13) + 29617\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2 = 4*q + 37, 0 = 3*q + 3*d + 24 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 108 + 16*h**2 - 108 + (-3 - 5 + 1 - 2*h)*(2*h - 3*h + 17 - 13) as m*h**2 + b*h + o and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 - 26*s - 9. Is z(20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 9:07 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -75, -180, -327?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**6\/15 - 7*q**5\/5 - q**4\/12 - q**3\/6 - q + 8. What is the third derivative of o(y) wrt y?\nAnswer: 48*y - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 18*j - 10. What is the units digit of o(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, t: 5, j: 1, f: 1, d: 3}. Give prob of picking 3 d.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, x: 1, e: 4, y: 3}. What is prob of picking 1 x and 2 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*k**3 - 7*k**2 - 4*k + 21*k**3 + 194 + 3*k - 173.\nAnswer: -54*k**3 - 7*k**2 - k + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 1271538*k**2 - 1271559*k + 7629246.\nAnswer: 3*(k - 423847)*(k - 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -818198 to the nearest 1000.\nAnswer: -818000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 10*q - 9. Let j = 15 - 23. What is the units digit of o(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 + -84. Suppose -6 = 4*z - 14. Suppose -n - r = -z*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10552 + 2?\nAnswer: 10554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/3 + (-8)\/12. Suppose 4*g = 3*g + 1. What is the greatest common divisor of m and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16128 and 410368?\nAnswer: 3693312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1\/6 (c) 4.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 + -47. Let t = l + -46. Let x = 26.00042 - t. Round x to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329690258?\nAnswer: 2, 164845129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2276937 divided by 21?\nAnswer: 758979\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34*(-5)\/(-5) + (263 - 271).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(76)\/sqrt(36).\nAnswer: -5 + sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3.5. Suppose 2*u = 5*p - 3*u - 25, 3*p + u = 15. Suppose -4*h + 5 = -p*h. Which is the nearest to -1\/4? (a) h (b) f (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u - 10 = 0. Suppose u*g - 6*g = -4. Suppose -5*h + 8 = -k, 0 = g*h + k - 2*k - 6. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -4. Let f = 19307\/4 - 4821. Is q greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 5:43 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z - 5*r - 16, 2*z = 5*r + 4. Let s be (1 + 0)\/(z\/(-6)). Solve -s*y - y + 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 + -41. What is the units digit of 394\/11 - x\/(-132)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -25*w**3 - 2*w**2 - 2*w - 1. Let u = 56 + -53. What is the least common multiple of m(-1) and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -68. Let k = -95872.16989935 - -95900.1699. Let i = k - m. What is i rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41724 and 180?\nAnswer: 208620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 32 = -2*v, 2*v - 16 = -2*o - 2*o. Let c(y) = 28*y - 120. Let n be c(o). What is the highest common factor of n and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/9 + 2\/(-6). Let z be v\/(((-6)\/(-20))\/(-3)). Solve -n - z = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/10 + (-2)\/1. Let q = 32 - 27. Suppose -s - q = -6. Which is bigger: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 11*h - 5. Let a be f(-11). Let k(p) = -7*p + 4. Let s be k(a). Suppose -4*g = -s - 61. Solve -5*r - g = 0, -w + 4*r + 21 = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -266. Suppose -a = -3*d - d. Let r = d - 20. What is r rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 192 + -192. What is the second biggest value in -7, -0.3, 2\/19, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (12\/(-10))\/(9\/30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 2\/35, -3 in descending order.\nAnswer: 2\/35, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5167*j - 1973*j + 2579*j**2 - 3194*j.\nAnswer: 2579*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 18. Suppose 3*r - 4*u - 1 + 6 = 0, 0 = u - y. Suppose -r*c + 4*x - 40 + 212 = 0, -5*c + 2*x + 166 = 0. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, v: 2, p: 1, x: 2, t: 4, q: 4}. Give prob of sequence qvp.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 2:06 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77.9925 - 78. Round r to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170441?\nAnswer: 170441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 (base 14) in base 4?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 381 - ((-112)\/70)\/((-1)\/(-5)). Is s greater than or equal to 389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*w - 19, 5*w + 2 = -s + 19. Sort 9, 2, s, 5 in increasing order.\nAnswer: s, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 83*p**2 + 4*p - 14. Let v(c) = 15 - 4*c - 4*c + 2*c - 82*c**2 + 3*c. Let l(y) = 6*v(y) + 4*x(y). Find the second derivative of l(f) wrt f.\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m - 13. Let n(u) = -4*u - 7. Let l = -119 + 134. Suppose 0 = 9*x - 6*x + l. Determine x*n(r) + 3*i(r).\nAnswer: -r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 5*f - 9. Let d be l(6). Let r(k) = k**3 + 3*k**2. Let h be r(d). Sort 3, h, -2\/11 in decreasing order.\nAnswer: 3, h, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 99595*n**2 + 1691580*n - 1791180.\nAnswer: 5*(n - 1)*(n + 18)*(n + 19902)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7420763699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*t = -1528, 8*t = 4*m + 3*t - 3054. Suppose 3*l = 2*d + 185, l - d - 46 - 17 = 0. Calculate the remainder when m is divided by l.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -14) + (708 - 709).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 + 13782*m - 151965.\nAnswer: 3*(m - 11)*(m + 4605)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cd (base 14) in base 11?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 1:24 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -399*y - 399. Let b be u(-1). Let f(c) be the third derivative of b*c - 5\/18*c**4 + 0 + 25\/9*c**3 + 1\/90*c**5 - 38*c**2. Factor f(w).\nAnswer: 2*(w - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 times -191\nAnswer: 9932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 3*h - 1155 + 1222, -3*i - 5*h = 42 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (37860\/(-50))\/((-4)\/10). Let p = l + -246091\/130. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*b - 0 - 39, -39 = -5*j + 3*b. Suppose -3*q + w - j + 20 = 0, 5*q + w - 18 = 0. Suppose q*m = -3*m + 875. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001044 to 7 dps.\nAnswer: -0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 15. Give w(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 12*v**2 - 13*v + 12. Let d be (-4)\/(-10) - 4505\/(-425). Determine s(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c. Suppose -a - 5 = 3*n + 3*a, 0 = -n + 3*a + 7. Let r be o(n). Solve 25 = -3*p - r*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2641800, 5283793, 7925786, 10567779, 13209772, 15851765?\n\"Answer: 2641993*t - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.67 or 80?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 13*l**2 - 12*l + 3. Let s be j(-12). Let a be 1*-1*(-7 - 36). Let g = a + -16. Solve 3*q + 24 = -q + 3*p, -g = 5*q - s*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25480 + 25478. What is the closest to g in 0.4, 1\/60, 2\/3?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/10)\/(10\/(-25)). Suppose 0 = -o*m + 2*r + 8, 8*m + 5*r - 22 = 4*m. Let w = 3085 + -3086. Put w, m, 1, -37 in increasing order.\nAnswer: -37, w, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 83, 177, 297, 455, 663?\n\"Answer: 2*o**3 + o**2 + 77*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 0.08, -16, -0.5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/21 (b) 1832.47 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, 1\/8, 0.1, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 79, 160, 243, 328?\n\"Answer: o**2 + 78*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 156 = -2*c. Suppose -18*y + c = -16*y. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 13, -4 in decreasing order.\nAnswer: 13, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 4*d + 8. Let u be z(6). Does 10 divide 25*5*5*u\/(-50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/30 + (48\/(-15) - -4). What is the closest to 2 in k, -0.5, -0.03?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(711\/(-316)) - (-7 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (788 - (-10)\/2). Suppose -229 = -2*a - n, -4*n - i = -5*a - 218. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - 78*k - 444. Let m be q(-32). Solve -2*t - 9 = 3*g, -14 = m*g + t - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 355288 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -7516657.\nAnswer: -4\/7516657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 11:50 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - p**2 - 10*p + 13. Let w be q(5). Let n = 61 - w. Let c be (-57)\/(-11) + (n - (-40)\/22). Solve 10*d + 20 = c*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 37.7, -0.5, 0.242, 2\/7 in decreasing order.\nAnswer: 37.7, 0.4, 2\/7, 0.242, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*k - 2*k**3 + 93*k + 33*k**4 - 114*k in the form j*k**2 + u*k + v*k**3 + a*k**4 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128 + 83. Does 6 divide 918\/u*((-44)\/12 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.019 + -0.96. Let l = 0.941 + x. Let n = 33.04 - 33. Which is the third biggest value? (a) l (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-8 + -5) - 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/57)\/(((-18)\/(-9))\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**3 + 11*n**2 - 7*n + 2. Let r(w) = w**3 - w**2 + w. Let u(m) = l(m) + 2*r(m). Let q(i) = 2*i**2 + 11*i - 43. Let s be q(3). Determine u(s).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.642 + 8.078. Which is smaller: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -2. Which is the second smallest value? (a) y (b) -0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**8\/5040 + g**7\/315 - g**6\/36 + 11*g**5\/30 + 47*g**2. Let x(f) be the third derivative of r(f). Factor x(l).\nAnswer: 4*(l - 1)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 3:41 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -521*i**5*x**2 - 3*i**4*v*x + 4*i*v*x**2 + 4*i - 6*v*x + x**2 wrt i?\nAnswer: -10420*i**3*x**2 - 36*i**2*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 63, 139, 245?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*z + 4120 = -39*z for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 1.1263 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3187 - -9559\/3. Which is the second smallest value? (a) u (b) 5 (c) 250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 6 + (8 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*t + 155*t - 316*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100.51 - -0.4?\nAnswer: 1100.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3724)\/(-420) - ((-16)\/(-30))\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, v: 3, c: 3, l: 9, o: 2}. Give prob of sequence vsco.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1248.2 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w + 6255 - 12440 = -6305 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -38. Suppose -2*w - 4*h = -1038, -2*w - r*w - 3*h = -2081. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 - 4*v + 3. Let m be i(1). Which is the nearest to -0.2? (a) -2 (b) m (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1556*c**4 - 1010*c**3 + 1010*c**3 + (4 - 2 - 3)*(1 + c - 1)*(-c**2 - c**3 + c**2) to the form s*c**4 + z*c**3 + t*c + q*c**2 + r and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/25*(-29)\/1508)\/(6\/10)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(22)*-1*-5)\/((sqrt(96)\/sqrt(3))\/sqrt(4)).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0433 and -7470272.\nAnswer: -7470271.9567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*v + 65*v = 3*j + 2516, -2*j = 4*v - 2536. Suppose -4*n + 5*d = -1596 - 945, 2*d - v = -n. List the prime factors of n.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 13005*g + 104072. What is h(8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5389.516 litres?\nAnswer: 5389516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27061\/6 + 4520. Find the common denominator of b and 117\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -439*z**2. Let a(w) = w**2 + 4*w - 28. Determine a(m(q)).\nAnswer: 192721*q**4 - 1756*q**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/7 (b) -4 (c) -7.704 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.3. Let w be -8 - (140\/(-77) + -6). Sort b, w, 5, 3 in decreasing order.\nAnswer: 5, 3, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 669 and 3307313.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222 and 9426.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*s - 8, 4*f - 4*s = -2*s + 24. Let l(g) = 4*g - 4*g**2 - g**3 + 0*g + 2*g**2 + 5*g**2. What is l(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(450)*1*-6)\/(-3*sqrt(360)*2).\nAnswer: -4 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.666 - -2.066. Which is the third smallest value? (a) -164 (b) 3 (c) q (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7999\/1799 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 6*h**2 - 25*h - 45. Let z be u(-5). Suppose -2*c - z + 541 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**3 - 70*n**2 + 34*n - 10. Calculate w(17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -82113\nAnswer: -2\/82113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 3:49 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2092032 and 16938?\nAnswer: 1968602112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8519 or 12003?\nAnswer: 8519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -5*r**3\/3 + 955*r**2 + 3840*r + 4897. Factor y(i).\nAnswer: -5*(i - 384)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 9 - 39 = 5*h, -3*z + 2*h = -7. Let q be z - -1 - 6 - -1. Let p be (2\/q)\/(16\/(-60)). Is p less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c**2 + 54*c - 11. Let x be w(-8). Solve -f + 15 = x*g, -3*f + 2*g - 10 = -4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-8)\/x)\/x)\/x)\/(((x**(-19)*x)\/x)\/x) assuming x is positive.\nAnswer: x**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11*-0.1\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 + -31. Suppose -2*o + 5*o - y = 0. Suppose -5*r - 2*c = -369, 0 = -2*r - 5*c + 77 + 58. Calculate the greatest common factor of r and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32002302 - 3?\nAnswer: 32002233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r + 10*r**2 - 5*r**5 + 12*r - 6*r**4 - 11*r - 4*r**4.\nAnswer: -5*r*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 20*m + 15*m - 9210 = 0, m + 6126 = 2*j. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206447 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/19459768 or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 181, 346, 505, 664, 829, 1006?\n\"Answer: v**3 - 9*v**2 + 185*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*m**2 + 94*m**2 - 27*m**2 - 33*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-24)*3*-6. Suppose y + 249 = s*y + u, -5*y - 4*u = -624. Round y to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 382\/48 + 3\/(-9) + 1. Let n be 4\/400*9630\/12. Let v = n - p. Which is the biggest value? (a) v (b) 3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*i + 2*q - 10 = 0, 4*i - 3*q - 18 = 0. Suppose -2*x = -3*x + 2. Calculate the highest common divisor of x and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 373*x**3 + 26172*x**2 - 143820*x.\nAnswer: x*(x - 282)*(x - 85)*(x - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i = -37. Let b = 114 - i. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48\/167 + -2986\/16199. Is p less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2881775.83 rounded to the nearest one hundred thousand?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 10*b - 13. Let n be q(-7). Suppose 8 - n = d. Let o(p) = -3 + 6*p - 10*p + d. Calculate o(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 4710*q - 37744.\nAnswer: (q - 8)*(q + 4718)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bivv when four letters picked without replacement from iivvvivbivviiv.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.62008 * -4.\nAnswer: 2.48032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {y: 1, w: 4, t: 5}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138673, -277339, -415995, -554641, -693277, -831903?\nAnswer: -970519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*-3*(-3)\/12*48\/36.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -152430 + 0.2\nAnswer: -152429.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48840 or 4249124\/87?\nAnswer: 4249124\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12008 - -153461382.\nAnswer: 153449374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 168 or -0.2?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3 + (-16)\/(-6)). Let v be 3\/(-6) - (-17)\/(-2). Let l = v + 10. Which is bigger: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 4*s**2 + 6*s + 4. Let n be a(-5). Let w be (-2)\/(-3 - n - 5). Suppose 5 = -c + 3, 5*d + 4*c - 162 = 0. Which is bigger: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((816\/1680)\/(-17))\/(31\/7 - 3)\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one quarters of a millisecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -4*p + 6, -526719*j - 28 = 7*p - 526720*j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-190)\/(-16)*(-16 + 20) and 17\/118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.03 - -0.15. Round b to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*j = -358 - 832 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 14*d - 17. Let n(v) = -5*v + 6. Let c be -1*(-5 - (8\/4 + -4)). What is c*o(y) + 8*n(y)?\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -3) + (-2 - -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267603, 536352, 805101?\nAnswer: 1073850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, -1, 0, 4, -310, -4 in decreasing order.\nAnswer: 17, 4, 1, 0, -1, -4, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 184 = -4*y, 0*m + 4*m + y - 209 = 0. Suppose 0 = -26*j + m + 27. Solve 1 = 2*w + 3*d - j, -4*w = -2*d - 24 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/21546 and 73\/2592.\nAnswer: 344736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddm when three letters picked without replacement from ddmdmwdmdmmdwmm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5574 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1336812 is divided by 30382.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.59 * -1124849\nAnswer: 663660.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**4 + 70*k**3 + 792*k**2 = 0?\nAnswer: -9, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*r - b, 31*b = -3*r + 32*b + 20. Sort r, 0.3, -44, 5 in ascending order.\nAnswer: -44, 0.3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -37*f - 5. Let r be h(-3). Suppose -t - t - r = -2*j, -5*t - 25 = 0. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 6*d**2 + 6*d + 2. Suppose c - 2*c = -5. Let v be f(c). What is the smallest common multiple of 2\/v + (-10)\/(-14) and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252360 a multiple of 701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 361, -1, -4 in decreasing order.\nAnswer: 361, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 6*q - 2. Let m be (-4)\/14 - 220\/(-35). Suppose 3*y - 6 = m. Let u(g) = -y*g - g + 2 - 2*g - 14*g**2 + 13*g**2. Calculate 5*l(o) + 4*u(o).\nAnswer: o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 - m**2 - 3*m**2.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*3\/18)\/((-91)\/(-84)). Let h = 7\/4 + -17\/12. Which is the second biggest value? (a) -1\/7 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*j + 4*x, -2*j + 28 + 7 = 3*x. Suppose -3*k = -k + 2*v - 52, 0 = -3*k - 5*v + 70. What is the highest common factor of k and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4*(-406)\/21. Let l be (-3936)\/(-224) - 6\/(-14). Let w = v - l. What is the highest common divisor of 55 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/12 and -29\/124?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 509, 1011, 1509, 2003, 2493?\nAnswer: 2979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 14*u**3 + 126*u**2 - 34*u + 2. Let m(g) = 13*g**3 + 127*g**2 - 35*g + 3. Let v(n) = 2*m(n) - 3*p(n). Factor v(y).\nAnswer: -4*y*(y + 8)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*o + 5*o + o)*(-2 - 1 + 4) - o - 3*o + 5*o)*(-2*o - 5 + 5).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4365 = -386*h + 2197 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14 - 17)\/((-3)\/10). Let a = 24 - s. Solve 5*j - 2 = -27, 0 = h - 3*j - a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6856 less than -5.491?\nAnswer: -6861.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h + 3*h)*(0*h**2 + 3*h**2 - 10*h**2)*(-3*h**2 + 3*h**2 - 3*h**2).\nAnswer: 42*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-9 - (-6 - -8)) + 3 - (19 + 20).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/21*9 + 8 - -4.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 193 + -215 - (2 + -25) - (-20 - (0 + -2)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/7 - -2\/7. Let y = 1.9 + -2. What is the closest to y in 2, q, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -0.047338, 0.1, 2 in decreasing order.\nAnswer: 4, 2, 0.1, -0.047338, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.07, -3, 209, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-486)\/(-6))*(-5)\/((-75)\/(-9))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102200 (base 3) to base 8.\nAnswer: -473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1002*v - 936*v + 3548*v)*(-4*v - v + 4*v) as h*v + o + d*v**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28222 and 227695096?\nAnswer: 227695096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/52 and -23\/3114.\nAnswer: 80964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -132.5513431 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srs when three letters picked without replacement from {y: 1, r: 1, s: 4, g: 1, u: 1, b: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 0. Let h = 0 + u. Let m = 36 - 328\/9. Which is the third biggest value? (a) h (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10322280 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 0 + 0*o**4 - 32*o**2 + 0*o**3 - 2\/15*o**6 + 4\/15*o**5 + 0*o. What is the third derivative of g(r) wrt r?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 2 (c) -1 (d) 352\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 546941 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40 + 27 + 26)*(-48 + 45 + 2*h**3 + 41*h**2 - 3*h**3) + 4*h - 2*h**3 + 0*h - 3*h in the form p*h**2 + v + y*h + q*h**3 and give v.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*(0 + (sqrt(320)*-1*-3 - (sqrt(320)*-2 + -4)))*-6)**2.\nAnswer: 576000*sqrt(5) + 14428800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 843*a**2 - 694*a**2 + 862*a**2.\nAnswer: 1011*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 8*b + 15. Suppose 0 = -m - 4 - 1. Let v be n(m). Let z be -1 + v + (-8)\/(-8). Which is bigger: 8\/13 or z?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 10099 = -3*v, 2*v + 0*r = -3*r + 6751. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, -0.16, 5, 4\/3, 23 in decreasing order.\nAnswer: 114, 23, 5, 4\/3, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 32 (b) 0.3 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -k + 2, 5*i = -3*k - k + 8. Factor -8\/7*t**5 - 50\/7*t**3 - k*t + 38\/7*t**2 + 32\/7*t**4 + 2\/7.\nAnswer: -2*(t - 1)**3*(2*t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15984681 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y + 74. Let p be g(-14). Suppose 0 = p*q - 6*q + 616. Calculate the highest common factor of q and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32003332 and 0.5.\nAnswer: -16001666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Suppose 0 = -3*v + 5*v + 12. Let f = 9 + v. Suppose 3 = -f*b - 3*c, 0 = 3*b + 3*c - 7*c - 4. Give o(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and 0.03?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from {i: 1, e: 2, k: 1, x: 1, l: 2, b: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 24. What is the greatest common divisor of 27 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -597 - -342.3. Let v = -276 - g. Let y = v - -21. Which is the third biggest value? (a) -3\/5 (b) y (c) 1 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33877 = 4*h + 3*n, -4*h - 6*n + 10*n + 33884 = 0. What are the prime factors of h?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**3 - 6*y**2 - 10*y + 6. Let l(g) = -4*g**3 - 5*g**2 - 9*g + 5. Let p(w) = -6*l(w) + 5*s(w). Find the second derivative of p(u) wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-41 + -3 + -16 + (-2 - -9))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 266 - 270. Let f be ((-3)\/9)\/((-3)\/36). Let a(c) = f*c**2 + 1 - 2 - 2*c - 3 + 1 + c**3. Determine a(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*a*v**2 - 16147928*a + 14*v**2 - 1103*v wrt v?\nAnswer: -10*a*v + 28*v - 1103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683397?\nAnswer: 3, 11, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -32a6 (base 14) in base 16?\nAnswer: -2242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -470, -1095, -1864, -2777, -3834, -5035, -6380?\n\"Answer: -72*z**2 - 409*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -8*d + 3*l - 18, 0 = -2*d - 3*l + 13. Suppose 0 = -d*k + 5606 - 671. What are the prime factors of k?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2 + 9*k - 74. Let q be s(6). Let l = 130 + q. Let c be 928\/52 - (-2)\/13. Solve 5*u - 4*a = 26, -2*a = -l*u - 6 + c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3651, -3609, -3567?\n\"Answer: 42*w - 3693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 2. Let y(f) = f**3 + 5*f**2 + 5*f + 1. Let d be y(-4). Let r be q(d). Which is the biggest value? (a) 3 (b) 2\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -15*w + 6. Let x be f(4). Is (x - 1)*12\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - ((sqrt(96) + sqrt(96)*-2)*6 + sqrt(96)))\/sqrt(4))\/((sqrt(768) + sqrt(768)*1)*-5).\nAnswer: -3*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/96636 and 95\/624?\nAnswer: 5025072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316415 is divided by 100.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 79*r + 23*r in the form p + u*r and give u.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 569748 or -0.2?\nAnswer: 569748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/((-288)\/(-56))*(-2)\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3\/7 - 64*b**2\/7 + 4058*b\/7 - 15080\/7 = 0?\nAnswer: -65, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**4 - 12*w**3 + 54*w**2 = 0?\nAnswer: -9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55844*d - 55879*d + 2170 for d.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274 + 626 = -19*k - 3*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5706\/17 or 1402?\nAnswer: 1402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - -0.2. Let g = -11 - -10.8. Let a = 5 - 7. What is the biggest value in g, a, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*a**3 - 2*a + 0*a + 39*a**3 + 1 + 38*a**3 as p*a**2 + z + s*a + i*a**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -678583 (base 9) to base 14\nAnswer: -a8221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - (2 - (0 + -3 - -20))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 4:35 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*m**3 - 12*m**2 + 12*m**2.\nAnswer: 65*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, z: 1, e: 4, g: 2}. What is prob of sequence zse?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 438 and 801400278.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30146, 30140, 30130, 30116?\nAnswer: 30098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 53572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5785 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**4 + 4*c**3 - 14*c**2 + 13*c + 4. Let q(n) = -5*n**3 + 12*n**2 - 12*n - 6. Let w(s) = 6*i(s) + 7*q(s). Find the second derivative of w(u) wrt u.\nAnswer: 72*u**2 - 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2 (c) -589 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/112 and 93\/164.\nAnswer: 4592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.6 - 16. Let w be (-3 - (-34)\/12)\/16. Let p = w + 131\/288. Put 6, u, p in descending order.\nAnswer: 6, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1767818*o**4*w**2 + 24*o**4*w - o**2*w**2 - o**2*w - 2*o**2 - 595*o*w**2 + 7*o*w - 25 wrt o?\nAnswer: 42427632*o*w**2 + 576*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 3*q + 34 = 0, 352*d - 347*d + 4*q + 13 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 + -11. Find the common denominator of t\/(-3) + 1\/2 and -63\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y - 1. Determine g(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36399, -145556, -327469, -582138?\nAnswer: -909563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in -2\/9, -4, -0.08?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 5*t**2 - 15*t + 20. Determine v(4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*q + 38235 = 34854 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 30. What is the least common multiple of 14 and y(-16)?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 4 - 1 - 1)*(-3*g + 2*g + 0*g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (604\/1057)\/((-8)\/7)*22\/(-4)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 5*x**2 + 2*x + 2. Let f be z(5). Suppose u - f = -3*u. Suppose -3*n + 6*n = 12. Solve u = 5*k + 3*v - 1, -n*k - 5*v = 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((-7 - (-7 + 7)) + 0 - -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5973.97 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((1*sqrt(4860) - sqrt(4860)) + sqrt(4860)) - sqrt(4860))\/((sqrt(108) - ((sqrt(108) - -1*sqrt(108)*-3) + sqrt(108) - sqrt(108)))\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2328)\/(-15))\/(264\/20 + -13) is divided by 55.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010110 (base 2) in base 13?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpt when three letters picked without replacement from tpjkk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 758 + -757.7. Let n = 2 + -1.8. Let o = -0.7 + n. Which is the nearest to -3? (a) 1 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**4)\/((s*s**0)\/s)*s*s\/s**(-15)*s**(-10))**(-30) assuming s is positive.\nAnswer: s**(-360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(70)\/(1*sqrt(250)))**2 - 3*((sqrt(847) - (sqrt(847) - (sqrt(847) + sqrt(847) + sqrt(847) + 4)))**2 + sqrt(847))).\nAnswer: -1718754\/25 - 2475*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11900 * 0.35.\nAnswer: 4165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*v + 56 = 10*b, -19 = -b + 2*v. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((400\/185)\/40)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 507912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*k - 114*k + 61*k = 3116 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-50)\/20*((-206)\/(-85) + -2). Which is greater: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 8:45 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1, 3\/35, 0, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-28) - (-4)\/(-28). What is the nearest to v in -0.2, -4, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1910, 5, -22 in ascending order.\nAnswer: -22, 5, 1910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/5112 and -115\/132.\nAnswer: 56232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30378*m - 49737*m + 5392*m.\nAnswer: -74723*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5436 + -3107. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 16. Let i(d) = 2*d. Let c be i(-4). Suppose 3*p - 7 - 2 = 0. Calculate the remainder when n(c) is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y + 4. Let v(p) = 5*p + 3. Let k(f) = 9*f + 5. Suppose -18 = -d - 22. Let z = -14 + 21. Let c(x) = d*k(x) + z*v(x). What is 26*c(w) - 6*l(w)?\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/11))**(1\/50)\/(v**3)**(-2\/11))**9 assuming v is positive.\nAnswer: v**(1341\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 102.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 - 2*p**3 + 4*p**2 + 4*p**3 - 2*p**3 - 4*p**3 to the form l*p**4 + b*p**3 + t*p**2 + f + o*p and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g**17*((g\/g**10)\/g)\/g*(g**(-8)\/g)\/g*(g**(-4\/15)*g)\/g assuming g is positive.\nAnswer: g**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 45. Suppose 0*i - 5*i + j = 0. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 18, -461 in increasing order.\nAnswer: -461, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2392513 is divided by 794.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*v - 6 = -65*v. Suppose 3*a = 6*a. Suppose v*z + a = 10. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from rstfrs?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/15387 and 151\/6.\nAnswer: 30774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**5\/4 - 39*j**4\/4 + 199*j**3\/2 - 161*j**2\/2 - 399*j\/4 + 361\/4 = 0.\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, 2\/3, -85, 0.1, -2\/3, 3.2, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 11*i = -15. Put 0, i, 13 in increasing order.\nAnswer: i, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 43. What is r(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13092 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 365.8*0.01\nAnswer: 3.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-621)\/(-2430)*27 + 2\/20?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10686, -40591, -90442, -160245, -250006?\n\"Answer: -r**3 - 9967*r**2 + 3*r - 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12631 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10957, 43967, 99045, 176191?\n\"Answer: 11034*g**2 - 92*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + b + 2 = -0*q, -3*q - 2*q - 4 = 5*b + 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 9. Let z be t(-11). Suppose j = z*j - 4. Suppose b = -j*b + 1595. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -4 (c) 5\/28 (d) 0.4 (e) 0.1736 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004017 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1978, -5, -2, -3\/4, -0.4 in ascending order.\nAnswer: -5, -2, -3\/4, -0.4, 1978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1\/3 (c) -4 (d) -1 (e) -5 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1 = 2*p - 6, 2*i - 8 = -3*p. Suppose 0 = m + p*o - 52, -2*m = m + 2*o - 164. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10202 (base 3) to base 4.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**5 - 7024*j**4 + 14062*j**3 + 21068*j**2 - 56216*j + 28112 = 0?\nAnswer: -3514, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**5\/30 + z**4\/12 - z**2. Let c be r(2). Let i be 22\/6 + (-8)\/c. Solve 0 = i*h + 2*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 666*q**3 + 219*q**3 - 9 + 17.\nAnswer: 885*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -17*u - 17*u + 50 + 27*u. Let y be d(20). Round y to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-1) + (2 - -11). Solve x*t - 5 - 4 = -a, a - t + 6 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 147372036 = -6*k, -49124024 = 4*p - 3*p + 4*k. Round p to the nearest one million.\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.6 and 2.4.\nAnswer: -15.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 711*z - 274*z - 387*z.\nAnswer: 50*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 91276418531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 21, -6, 7926 in decreasing order.\nAnswer: 7926, 21, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 429, 745, 1149, 1653, 2269, 3009, 3885?\nAnswer: 4909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 6:58 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 197238906043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 7 + 71. Let c be n\/(-9) + (-6)\/(-27). Find the third derivative of -2*d**3 - 2*d**2 + 6*d**2 - 3*d**c wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/8)*u**(-39) assuming u is positive.\nAnswer: u**(-311\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 5)*(4*t**4 + 3*t**4 - 5*t**4) + (-t - t + 0*t)*(t**2 - 2*t**2 + 2*t**2)*(-4*t + 0 + 0)*(2 - 3 + 2) - 38*t**4 + 26*t**4 - 35*t**4.\nAnswer: -49*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b + 96. Let d be a(-6). Let u(q) = 2*q. Let p be u(-1). Calculate the remainder when d\/(-60)*105\/p is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4279\/(-389) - 147\/(-15))*(-10)\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 + 0.39. Let a = t + 0.07. Let f = 0.11 + a. What is the third biggest value in -3\/7, f, -1\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**5*v + 4*q**5 + q**2*v - 152*q*v - 4*v wrt q?\nAnswer: -60*q**3*v + 80*q**3 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00449694954 rounded to 5 dps?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.8 - -10. Let d = 1081 - 1086. Let v(c) = c + 3. Let u be v(-7). What is the biggest value in u, d, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*24.2.\nAnswer: -1258.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -120 - 117 + 237 + q. Let t(d) = 28*d**2. Give y(t(o)).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 7*l = -8*l + 16, -3*s = 12*l - 39 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3167*c. Let s(m) = -36*m. Determine s(a(h)).\nAnswer: -114012*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 5*n - 3. Suppose 2*u = 6*u - 16. Suppose 55*o - 369 = -68*o. Suppose 5*z - 20 = -5*s, -u*z = -z - o. Determine p(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -63829*c**2 - 127662*c - 2. Calculate i(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -288 by -1.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 86555867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and (-1 - 107)*((-2)\/6 - 0)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*sqrt(99)*2*-6 - (-2*(-4 + sqrt(99) + sqrt(99) + 1)*1)**2.\nAnswer: -1620 - 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g = 29. Let x = g - 24. What is the second derivative of -x*t**2 - 236*t + 233*t + 2*t**2 wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 + -0.38. Suppose 0 = -5*y + w + 4, -2*y + 1 = 2*w - 3. What is the smallest value in 0, -0.4, y, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 388109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 287\/21 - 7 - (-2)\/6. Let b = i - 4. Solve -l = -4*l + b*n - 24, 8 = -3*l - n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from nnyhadha?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36162?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -561 bigger than -9526\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.1983 * -0.18.\nAnswer: -1.295694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 12*m - 75*m. Let h(a) = 2*a**3 + 5*a**2 - 2*a - 4. Give h(m).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -4\/7 (b) 1 (c) -7 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2013 - 1?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, b: 2, m: 1, s: 1, q: 3, i: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18121 and 5?\nAnswer: 90605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/53? (a) -2\/9 (b) 20\/7 (c) 3 (d) 3\/7 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 11 + 11 = 0. Solve z = 21*f - 19*f - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1331220 (base 4) to base 11.\nAnswer: -604a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -4*z + 1\/2*z**2 - 2*z**4 - 2\/3*z**3 - 1\/20*z**5 - 2. What is the second derivative of c(i) wrt i?\nAnswer: -6*i - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 16. Let l = -19 + o. Let s be ((-6)\/(-4))\/(6\/4). What is the closest to -2\/5 in l, s, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -7. Let z be 3274\/q - 9\/(-15). Suppose 7*f - z = -f. What is the remainder when f is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 6*r**2 - 44*r + 144. Calculate l(5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/3)\/((104\/(-156))\/(1*-1))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22031123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15652229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86 and 1436458?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325113247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.054881 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1536*i + 1553*i - 2*i**2 + 0 in the form n + g*i**2 + w*i and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/3 + 3744*u - 22512.\nAnswer: 4*(u - 6)*(u + 2814)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2 - 2) + -94 + -1 + (-3070 - -3058).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c - 52 = 8*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14 - 1) + (-4 - -3). Let x be (m\/16*54)\/(4\/8). What is the greatest common divisor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2 + 1)*-564. Let i be (g\/(-4))\/(15\/100000). Round i to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -13*d**3 - 1. Let b(q) = -14*q**3 - 1. Let c(m) = 4*b(m) - 3*w(m). Suppose -2*u + 4*u + 2 = 0. Calculate the lowest common multiple of 12 and c(u).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -6\/11 (b) -4 (c) 544 (d) -0.5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = k - 0*k - 5*q, -2*q = 4. Let r be ((-8)\/k)\/((-2)\/(-18)). What is the remainder when 24 + (r + 2 - -2) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101013 + 10?\nAnswer: -101003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -0.7. What is the closest to u in -2, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 4771 + 8192 = -375. Is 27 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-456*r + 136 + 12 - 147)*(-3 + 2 + 3) in the form o*r + f and give o.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(4\/3)\/v)\/(v*v**10))**(-1\/11)\/((v*((v\/(v**(-1\/12)\/v*v)*v)\/v)\/v*v)\/(v*(v**12\/v)\/v))**(1\/6) assuming v is positive.\nAnswer: v**(1945\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3 + 1) + 393. Suppose -1015 = -0*p + 4*p - 3*w, -5*w = -4*p - 1025. Let j = p + u. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 1599\/688?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7449 and 2136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -498 + 541 + (-155 - -10) + 0\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 30 = 6*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2015, 1822, 1525, 1130, 643, 70, -583?\nAnswer: -1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4192)\/(-786))\/(4\/(-6))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1175 + -641. Let b = -522 + n. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-730)\/80 - 2\/6*48\/(-128).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 1630\/(-15)) + (-2)\/3 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -118, -167, -210, -247, -278?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 1 - 6)*(-22*a**4 + 3*a**4 + 9*a**4) in the form p*a**4 + u + g*a + i*a**2 + m*a**3 and give p.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**3 + j - j)*(4 - 1 + 10)*(0 + 4 - 6) to t*j**2 + w*j**3 + o + c*j and give w.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 + 6 = -12*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.48386802.\nAnswer: 1.93547208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oppp when four letters picked without replacement from {o: 2, p: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 838 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 127.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04657, 8\/15, -3\/5.\nAnswer: -3\/5, -0.04657, 8\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 208954 > 208954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 4) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j - 8 = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 8 + -2 + (-33 - -30 - (-1 - 48)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:14 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10 = -x. What is the third derivative of -4*j**x + 2*j**2 + 7*j**5 + j**5 wrt j?\nAnswer: 480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5 = r - 2*r, -k = -5*r + 25. Factor 9*o**3 + o**r + 6*o**2 + o**2 - 27*o + 29*o + 5*o**4.\nAnswer: o*(o + 1)**3*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -5) + (-9 + 0 - (-28 - -23))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 9 = l, -2*s - 5*l + 31 = 2*s. Let q = -5 + s. Let r be (-1)\/(q\/(-2)) - -5. Solve 10 = -2*z - r*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11873, -23783, -35737, -47735, -59777, -71863, -83993?\nAnswer: -96167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 4*a**2 + 2*a)*(-a**2 + 5*a**2 - 5*a**2) + (-a**2 + 0 + 0)*(-5*a**2 + 3*a**2 + 0*a**2).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + 5 - (10 + -13 + 3 + 6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3174.815 millennia to years.\nAnswer: 3174815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**5 + 5*q**4 + 286*q**2 wrt q?\nAnswer: -60*q**2 + 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 8 = 3*l. Find the second derivative of -3*g**l - 10*g + 4*g - 2*g wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 11. Let d(z) = 3*z + 32. Let w(c) = 4*d(c) - 11*i(c). Let a be w(-6). Let q(v) = -6*v**2 + v. Give q(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/472 (b) 5 (c) 4877 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/12*184\/1380)\/(1*-1)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 33, -1\/4, 2 in increasing order.\nAnswer: -1, -1\/4, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011001111 (base 2) in base 3?\nAnswer: 222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -357 + 298 + (-6 - -4 - 1) + 15.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 (base 12) in base 10?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*d, 5*d - 15 = -5*m. Suppose -9 + m = -2*j. Suppose j*q = -8 + 29. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2865 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: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/35? (a) -4 (b) -2 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -u - 80, 0 = -2*u - 12 + 2. Let o = -18 + z. Solve o = 5*i + 17 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from ssgoodokkgkookkkoo?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 117*w + 1860. What is l(14)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -15296 != 2278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {s: 2, k: 1, m: 1, d: 2, w: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 153 = 145 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52406.35um in nanometers?\nAnswer: 52406350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -10)*(200\/(-24) + 7). List the prime factors of 18\/n - 466\/(-4).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -7*x**2. Let y(w) be the first derivative of -2\/3*w**3 + 0*w + 0*w**2 - 10. Determine y(a(c)).\nAnswer: -98*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(143) + sqrt(143)*-2)*-3 + sqrt(143))\/((-1*sqrt(44))\/sqrt(4)) - (1 + 4*(4 + -1*sqrt(1300))).\nAnswer: -15 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-3564)\/(-231))\/((-1)\/(-49))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 7. Calculate the remainder when 26 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*q**2 - 7*q**2 - 18*q**2.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.42698kg in micrograms?\nAnswer: 1426980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 i, and 1 e when four letters picked without replacement from wzwqiqqqeq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1500)*1 + sqrt(1500))\/(sqrt(45)\/(sqrt(9) - (sqrt(9) + (sqrt(81) - sqrt(9)))) + sqrt(500)*-2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*a + 40*a - 12. What is the biggest value in -0.3, -7, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-740)\/1332)\/(5\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419684369.\nAnswer: 13, 19, 53, 32059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/30)\/8 - 4\/(-30). Solve -3*v + 3*y - 7*y + 5 = 0, s = -2*v - 4*y + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5223 = -3*n + 5247. Solve 0 = n*z - 26*z + 36 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107450 and 597422?\nAnswer: 4298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -375, -377, -379?\n\"Answer: -2*a - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7749591 grams in kilograms?\nAnswer: 0.0007749591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 - -89. Let o(w) = 2*w**2 + 4. Let s be o(l). What is the greatest common divisor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 767 + -239. Let r = 527.9999513 - c. What is r rounded to six decimal places?\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x. Let a = 9530 - 9531. Let m(h) = 5*h**2 + 5*h - 1. Give a*m(w) + 4*n(w).\nAnswer: -5*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9474059 to the nearest integer?\nAnswer: 3078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1186299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(4*u - 16*u**2 + 1 + 7*u**2 + 8*u**2)*(-30*u - 1415 + 1415) + (-3*u + u + 0*u)*(3*u**2 + 0*u**2 + 2*u**2).\nAnswer: -70*u**3 + 240*u**2 + 60*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/(-10)*-2)\/(6\/(-20)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*v - 35, 0 = 2*q + q - v + 17. Suppose -22*g - 10 = -17*g. What is the fourth biggest value in g, -0.2, q, -2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4415 - -4237.1. Round w to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-33)\/22)\/(-1 - (-30)\/28). Let b = 25 + s. Find the third derivative of 10*x**2 - 6*x**2 + 9*x**2 + 16*x**4 - 11*x**b wrt x.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30.7 and -0.08614.\nAnswer: -2.644498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**2 + 4*o**2 + 9*o**2 + 0*o**2 + 166 + 164 - 329.\nAnswer: 24*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 596955213 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -422 + 426. Let w(h) = -h**2 + 3*h + 5. Calculate w(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m. Let i(u) = 15*u + 1. Suppose -5*r - 18 + 7 = -1. Determine r*i(f) + 10*k(f).\nAnswer: -40*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 56 = 5*j. Let c = j + 6. Let d(q) = 2*q. What is the remainder when c is divided by d(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186\/6 - 0\/(-1) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372737 to the power of 1\/2, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145689784*s**4 - 7*s**2 - 2*s + 3676321 wrt s.\nAnswer: -3496554816*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692740 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017425 to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1019321842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 7*t = 2. Let i(n) = 5*n**2 - 4*n**t - 5*n**2 + 5*n**2. Let y(c) = -c + 3*c + 2*c. Determine i(y(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -3467.\nAnswer: 1386.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362 = 24*m - 146. Let k(r) = 3*r**2 + 27*r + 1. Let t(j) = j - 3. What is the remainder when k(m) is divided by t(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 3*n - 3*n)*(-4*n + 2*n**3 + 4*n) + 3*n**5 - 2*n**5 - 3*n**5.\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -592*d**2 - 22*d + 7. Let a(n) = 199*n**2 + 7*n - 2. Give 13*a(f) + 4*b(f).\nAnswer: 219*f**2 + 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31039\/9 + 3449. Sort -7, 4\/3, o, 5 in ascending order.\nAnswer: -7, o, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from piipy. What is prob of sequence yii?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010011000101 (base 2) in base 11?\nAnswer: -3aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 5*f + 31, 14 = -2*k + f + f. Let w be 3\/1*k*(-1)\/4. Factor 3\/2*s**2 - 3*s + w.\nAnswer: 3*(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 197630453 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (182*q**2 - 237*q**2 - 259*q**2 + (-3*q + 2*q + 4*q)*(q + 0*q - 3*q))*(q - 3*q - 3*q) in the form v*q**2 + i*q + w*q**3 + z and give w.\nAnswer: 1600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/39 (b) 0.01 (c) -1\/4 (d) -1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 427, 1708, 3845, 6838, 10687, 15392?\n\"Answer: 428*n**2 - 3*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62838 divided by 2?\nAnswer: 31419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 4*i = -8, 0 = -3*r + 14*i - 16*i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -5315?\nAnswer: 5318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011598311 rounded to seven dps?\nAnswer: -0.0011598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**4\/12 - 35*w. Let q be (1 - 0)\/(2\/4). Let m(b) = -b**2 + 3*b**2 - b**q. What is u(m(c))?\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Suppose -2*z - 4*s = 8, 2*z + n*s = 4*s + 16. Let f = z + -1. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111169 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -791610, -791667, -791724, -791781, -791838, -791895?\n\"Answer: -57*w - 791553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**6\/180 - p**5\/20 - p**4\/6 + p**3\/6 - 2*p**2. Let m(l) be the first derivative of g(l). Suppose m(n) = 0. Calculate n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -195*i + 51*i + 420*i + 336*i + 5 as a*i + m and give a.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13bd54a + 5?\nAnswer: 13bd54f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(704) + 1*sqrt(704) + 2 + -3*(-1 + sqrt(704))))**2 - 6*(-4 + (sqrt(704)*2)**2 - sqrt(704) - ((1 + sqrt(704))*-3 - sqrt(704))).\nAnswer: -10329 - 864*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m + m - 16*m - 9*m to the form l*m + a and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 + 570*j**3 - 284*j**3 - 285*j**3 - 1. Let z be x(-1). Calculate the highest common divisor of z and 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8982.75 months?\nAnswer: 0.7485625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-12)\/(-3)*(-9)\/(-192) and (-495)\/6*(-8)\/(-80).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02598 + -4.02598. Which is the fifth smallest value? (a) 2 (b) 2\/3 (c) 0.2 (d) i (e) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 5*j + 33. Calculate r(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12223993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v - 96 = -10*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n = -484038 - 2029595. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**4 + 78292*r**3 - 469448*r**2 - 3130720*r = 0.\nAnswer: -4, 0, 10, 19567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.42, -0.02, -2401, -3\/4 in decreasing order.\nAnswer: 0.42, -0.02, -3\/4, -2, -2401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -10. Let w = p - -29. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2*q + 1, 2*q + 0*q = -5*z + 17. Which is the smallest value? (a) -1 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 22*w - 251. Calculate s(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 21?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:03 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*b**3*l*z + 137*b**3*z**3 + 2*b**3*z**2 + 99*b**2*l*z**3 + 3*b**2*l - 20*b**2*z**3 wrt b?\nAnswer: -450*l*z + 822*z**3 + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445060 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3*5*2328\/(-3880)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -161588 - -8?\nAnswer: -161580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*o - 1405*o - 407*o = -85655 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, 474, 702, 930?\nAnswer: 1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 1057. Let r(d) = 520*d. Calculate r(q(z)).\nAnswer: 520*z - 549640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1614\/113275 or 0?\nAnswer: 1614\/113275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -159*h - 955. Let x be a(-6). Let u(q) = 15*q + 5. Calculate u(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 393 divide 2824150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 2*t)*((t + 3*t - t)*(5*t**3 - 3*t**3 - 3*t**3) - 2*t**4 + 4*t**4 + 0*t**4 - 25*t + 5*t**4 + 25*t).\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1999926 + 1.2. What is p rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a (base 12) in base 10?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**3\/6 - c**2 - 3*c. Let s be t(-2). Let w(i) = -i**3 - 4*i**2 - 4*i - 5. Is 11 a factor of w(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*u**3 + 8886*u**2 - 69*u + 650740941?\nAnswer: 24*u**2 + 17772*u - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.31983l to millilitres.\nAnswer: 38319.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -701107 or -701108?\nAnswer: -701107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 126*j - 11. Let i(c) = -1. Let t(r) = -25*r + 6. Let q(b) = 4*i(b) + t(b). Let u(n) = 2*g(n) + 11*q(n). What is the units digit of u(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1637315470 - 1637315293.9999927. Let o = 176 - n. Round o to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 1 + 3 + 0. Suppose 3*i = -2*z - 10, -15*z + 16*z - 5*i = -5. Sort g, z, -54 in descending order.\nAnswer: g, z, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-2)*((-2)\/10)\/((-521)\/(-5210))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 3*h - 38. Let s be p(-8). Solve -s*b + 10 = 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24, -5, -1\/18, 1, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -692 - (-1 - 1). Let c = u - -684. Let y = -22\/21 + 302\/315. Is c >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*z + 56 = 73*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1186 + 6435.\nAnswer: 6434.8814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 j when three letters picked without replacement from {s: 3, t: 2, u: 1, k: 3, j: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/13 (b) -50 (c) 2 (d) 1\/3 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 + -13. Let h = -39 - -11. Let b = -12 - h. What is the remainder when d is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(-24)\/(p**(1\/3))**1 assuming p is positive.\nAnswer: p**(-73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17970300971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (693\/22)\/(-21)*2\/(-21)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8 - 7*w + w**2 + 9 - 3*w**2. Find the common denominator of -23\/6 and s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 7 + 85. Suppose -5*z = -3*z - d. Suppose 0 = 16*f - z*f - 231. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/14)\/((-2)\/((-24)\/(-9))). Which is the second biggest value? (a) -1\/18 (b) 0.07 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrbbrbbrbbrbrbbbnb?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 561 = -2187. What are the prime factors of o?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -11*t + 8. Let n(l) = -l**2 + l + 6. Let x be n(0). Solve m - 3*m - x = t*g, 0 = -4*g + 4*m - 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 20. Suppose 2168*j = 2187*j + 247. Does j = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, z: 1, p: 3, k: 1}. Give prob of sequence kz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 8*a**2 + 6*a - 10. Calculate h(9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4774*u - 4774*u + 5*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1512*o + 781. Is k(-53) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z - 5*q = 46, 5*q - 5 = 0. Suppose -20 - 5 = -5*h, -4*x = -5*h + z. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**2 - 20220*g - 17937417 = 0.\nAnswer: -5689, -1051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from poojwdwdjjjoppdjjopw. Give prob of picking 1 j and 1 p.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -22*h - 20. Suppose 8 = -2*u - 0*u. Does 44 divide w(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/13, 2, 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-5 - -2) - (1 + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 183.2 + -273. Let o = 82 + w. Let g = o - -8. What is the nearest to 0 in g, 1, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*q**2 - 9*q**2 + 169*q**2 - 2*q**2.\nAnswer: 421*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s + 5*s. Solve -2*h = 10 - 2, 3*q - 2*h - 8 = s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 10827 - 10818 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6425 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1c8386 (base 13) to base 5\nAnswer: -141412333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, m: 1, z: 5, w: 4, h: 4, u: 1}. What is prob of sequence uhh?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7\/(g\/(g**(-3\/2)\/g))*g**(-7)*g**7)**3 assuming g is positive.\nAnswer: g**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 39 = -5*i, -2*w + 7*w = i + 9. Suppose -8 = -2*k + i*k, 3*k + 314 = 4*j. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2258, 4675, 7092, 9509, 11926?\n\"Answer: 2417*b - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -303 times 0.08\nAnswer: -24.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-204) - (80\/24)\/(-10)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 2:24 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3. Let r = 1.8 - s. Let l = r + -1. Which is the smallest value? (a) l (b) 0.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -3 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -2, -1, -6, 8 in ascending order.\nAnswer: -17, -6, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 7220 to the nearest 100.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1135*c - 262*c + 244*c + 316 + 599*c + 46*c wrt c?\nAnswer: 1762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351 divided by -9.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.8 in -0.2, -0.22784, -0.1, 1\/2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)\/l*((l\/(l*l**(-12)*l))\/l)\/l*l**(-2\/21)*l\/(l\/((l\/l**5)\/l)) assuming l is positive.\nAnswer: l**(-23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-0.779.\nAnswer: 5.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3131 (base 5) to base 10.\nAnswer: -416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -640*n**2 + 15*n - 35. Suppose 38 = h - 5*o, -h + 33 = -4*o - 0*o. Let v be t(h). Round v to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6, -4*f + 0*f + 5*k = 15. Let x(y) = 2*y**2 + f*y**3 + 0*y**3 + y - 5*y**2 + y**3. Let b be x(3). Put b, -4, -2 in ascending order.\nAnswer: -4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 81*k**2 + 829*k + 4. Give o(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 254 + -234. What is the remainder when 23 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*m - 253 = 107. Let q(y) = y**2 + 7*y - 20. Determine q(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**3\/7 + 2106*k**2\/7 - 738606*k\/7 + 12325786 = 0.\nAnswer: 341, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1771?\nAnswer: 5\/1771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*d**5 - 7\/4*d**3 - 3\/4*d**2 + 0*d - 5\/4*d**4 + 0 = 0 for d.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**13*k)\/k)**(-15\/2)\/((k\/(k\/k**(-1\/43)))\/((k\/k**(-8))\/k)) assuming k is positive.\nAnswer: k**(-4170\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14*3534\/868 + 105\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1686, -3356, -5018, -6672?\n\"Answer: 4*b**2 - 1682*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2\/7 - 34397*a\/7 - 34396\/7 = 0. What is a?\nAnswer: -34396, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5040517 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/3 (b) 4\/7 (c) -1.28 (d) 0.2 (e) 1\/3 (f) -31\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006799107 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24837463 is divided by 6209364.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 8725*z**3 + 243721*z**2 - 1783335*z + 3913650.\nAnswer: (z - 8697)*(z - 18)*(z - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:32 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 32 = -12*o. Suppose -2*w = o*r - 474, r = -4*w + w + 121. Suppose 3*m - 4*m + r = 0. List the prime factors of m.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -641465 - 151223720.\nAnswer: -151865185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-189)*(3 + -12)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 15*p**4 - 140*p**3 + 60*p**2 + 960*p - 1280 = 0.\nAnswer: -8\/3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1073\/28 + -167\/4. Let x = -65\/21 - m. Let w = -0.3 - -0.8. Which is the closest to x? (a) 1 (b) w (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 2*f**2 + f + 151. Calculate the remainder when s(0) is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318472 by -4136.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 14 + 2. Let l be ((-9)\/36)\/((-2)\/16). Suppose 5*j = 4*x + 23 + l, -4*x = -4*j + p. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from bbnnfnzbnf?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqkkqsqk. Give prob of sequence qs.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0542 - 0.054678. What is j rounded to five dps?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(40\/(-42))*20\/(-45). Let u(b) be the first derivative of 0*b**2 + 0*b - 1\/4*b**4 + 7 - q*b**3. What is the third derivative of u(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/2 + 691*d\/2 - 345.\nAnswer: -(d - 690)*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (-108)\/24 + (-138)\/(-4). Calculate the highest common factor of 8019 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 718 and 350.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssscssscssscsssscsc. What is prob of picking 4 s?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18310 = 2740*a - 2750*a. Is a a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 133 - 110. Let k(j) = -j**3 + 25*j**2 + 3*j - 50. Is k(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one fifths of a decade?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*w - 92*w - 16 = 0. Let c be 7 + 0 - ((-1 - 2) + 5). Suppose 0 = -2*p - 4*g + 46, -53 = -4*p + c*g + 13. Solve 0 = w*k + p - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 1. Let w(t) = -4*t**2 - t - 70. Let p(i) = -3*h(i) - w(i). Is 31 a factor of p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 0*k + 24836. Let r be ((-13)\/91 - (-26)\/(-14)) + k. Round r to the nearest 100.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from xxexkekkx.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + 3?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.17 - 11. Let z = -2.17 + y. What is the smallest value in 6, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.8 * -1.884\nAnswer: -22.2312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45*f**2*q**2 + 26*f**2*q - 2*f**2 + 20*f - 23*q - 55 wrt q.\nAnswer: -90*f**2*q + 26*f**2 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2528077 divided by 4.\nAnswer: -2528077\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (170\/(-102))\/((-5)\/(-6)). Which is the fourth biggest value? (a) -3 (b) 3 (c) 4 (d) 2\/5 (e) g\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/100 - (-4)\/(-10). Which is the nearest to 1\/4? (a) -4 (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*i**2 - 5*i**2 + 2*i + i + 10*i**2 - 2 = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 3*u**2 + 6*u - 14. Let o be t(4). Let r be (0\/(-5))\/(-2 + 7). Suppose 0 = k - 3*k - 8. Sort o, -3, r, k.\nAnswer: o, k, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -4) + 3 + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2420853 - 3843287 = -20*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**3 + y**3 - 4*y - 5*y**3 + 5*y to l*y + r*y**3 + w + h*y**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1121019 + 638019. What is f rounded to the nearest ten thousand?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3016703 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 4*f**2 - 4*f + 1. Suppose -3 = 4*x + 1. Let y be (3*x)\/(-1 - -2). Determine r(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-405)*-5)\/(((-40)\/75)\/(-4))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*b**3 - 3 - 221*b**3 - 23*b**3 - 12*b**3 + b**2 to the form h*b + n*b**3 + m*b**2 + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 988998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2104 and -1?\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (187\/51 - (-5)\/(-1)) + (-10 - -13).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2224494, -4449006, -6673518, -8898030?\n\"Answer: -2224512*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 7. Let m(x) = 3 + 14*x + 10*x - 2 - 23*x. Determine a(s) - 5*m(s).\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.001 + -0.027. Let f = -8.972 + g. Let m = f - -6. Which is the fourth smallest value? (a) 0.5 (b) m (c) -4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(-126)*7328\/(-1603)?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**3 + 8*b**2 + 11*b + 54. Let w(y) = 3*y**3 + 4*y**2 + 5*y + 26. Calculate -4*t(k) + 9*w(k).\nAnswer: -k**3 + 4*k**2 + k + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44231 - -44243. Solve -706*n + 708*n - m = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000184984112 rounded to 6 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19480 - -19471. Let a(c) = 4*c + 48. Give a(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47.69999703 - 47.7. Round p to 7 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.3 (c) 2 (d) -28.1 (e) 1\/3 (f) 11203\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 - -90. Let v(i) = 39*i - 85*i + s*i. Let l(q) = 33*q**2 + 2*q + 2. Let x(t) = 4025*t**2 + 245*t + 245. Let m(f) = -245*l(f) + 2*x(f). Give m(v(j)).\nAnswer: -315*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = d - 2. Is d > -6\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1451.1108 months?\nAnswer: 1.209259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/140 - 4551\/140. What is the common denominator of (-90)\/(-28) - 3\/(-1) and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 9609377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.6503731 + -3058.3840469. Let o = g - -3061. Round o to 3 dps.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 220 + 20. Is 30 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 3 - -3)\/(2 - 0). Let w be (-130)\/(-15) - 8\/(-6). Solve -3*i - 2*k - w = i, r = -2*i + 4*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 94. Let j be 19\/4 + (-20)\/v. Suppose 61 = 4*c - q - j, -5*c = 4*q - 93. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46598.\nAnswer: 2, 23, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2 - 1) + (1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 6*f + 12. Suppose n - 3*o = -1, o - 1 - 8 = -4*n. Suppose -n*z - 3*z = 2*b + 36, -4*b = z. Is p(z) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 2. Let a(n) = 2*n + 5. Let o(r) = -2*a(r) + 5*s(r). Let i be 29*-1 - (2 + (-16)\/4). Let v be 3\/(-1) - (i - -23). What is o(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1900) + 1)**2.\nAnswer: 20*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((t**(2\/3)*t)\/t)\/t)\/t**(-1\/2))\/(t**(1\/2))**31)**(-1\/52))**(-3\/7) assuming t is positive.\nAnswer: t**(-23\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2568.2 + -2568.19999963383. What is j rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 0\/(-2))*(-3 + 4). What is the units digit of (0 + 166)\/(c + 5) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v*v**(-2)\/v*v*v*v))\/v*v**(-6))\/((v\/(v\/(v*((v\/v**(-1\/4))\/v)\/v)))\/v**(-1\/4)) assuming v is positive.\nAnswer: v**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28840526*l**3 + 39501741.\nAnswer: -86521578*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38814 is divided by 19402?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**0)**(-45)*(p\/p**0)\/(p*p**3))**9)**(1\/6) assuming p is positive.\nAnswer: p**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*y + 2*z - 17, -115 = -5*y + 5*z. Suppose 2*g + g = y. Suppose s - 5 = g. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, t: 14}. What is prob of sequence jjj?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 206 (b) -3 (c) -0.6 (d) 3 (e) 1\/6 (f) 0.2 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 3:22 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 4*k - 3. Let n be i(-7). Suppose n = -4*u + 6*u. What are the prime factors of u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18312845, 18312843, 18312841, 18312839, 18312837?\n\"Answer: -2*g + 18312847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 10*r + 53. Calculate y(-10).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2310 by 385.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 93 = -2*s. Let c be (-4)\/2*44\/(-8). Suppose -c = -4*a + 53. What is the remainder when s is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 11. Let p(m) = m - 12. Let h(y) = -6*o(y) + 5*p(y). Let r be h(-3). Let k = -577.3 - -577. Is k less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 2*x + 2*o, -4*x = 2*o - 14. What is the third derivative of 33*c**6 + 6*c**2 - 6*c**x + 16*c**2 + 7*c**2 wrt c?\nAnswer: 3960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 69, 49, 11, -51, -143?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1673340 and 960.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581046.\nAnswer: 2, 3, 113, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3638 + -14246\nAnswer: -17884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 2*n - 1877*n**2 + 934*n**2 + 942*n**2)*(1 - 1 - 15*n**2) to x*n**3 + a*n**2 + h + g*n + z*n**4 and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -27*g**3\/4 - 102990*g**2 + 22887*g = 0.\nAnswer: -15258, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((-4)\/(-16))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 11. Let h = z + 17. Suppose 12 = -12*w + 15*w, 5*i = 6*w - 4. Calculate the highest common factor of h and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272901478?\nAnswer: 2, 43, 3173273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.568 - 0.018. Let o = 0.39 + c. Round o to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k - 2*k. Let r(z) be the second derivative of -2*z**3\/3 + z. Calculate the remainder when 15 is divided by r(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let o(d) = -408*d - 2040. Let z be o(-5). Factor -6\/5*k**2 + z*k**3 + 2\/5*k**4 + 4\/5*k + t.\nAnswer: 2*k*(k - 1)**2*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 675.62.\nAnswer: 675.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4) + (-85)\/(-136)*-4. Sort -5, -4\/343, k.\nAnswer: -5, k, -4\/343","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 17 + 542 = -5*m, -3*m - 195 = -704*i + 715*i + 166 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1914*d*q**2*w + 2*d*w**2 - 2*q**2*w**2 - q**2*w - 4*q*w**2 + 56*w wrt d.\nAnswer: -1914*q**2*w + 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(-9) + 20\/(-60)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 33535.\nAnswer: 33535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-4)*-1*2. Let m(c) be the first derivative of c**4\/4 + 10*c**3\/3 - 6*c**2 + 15*c + 29. What are the prime factors of m(f)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99335 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -1*sqrt(75) - 2*sqrt(75)*2)*4)**2.\nAnswer: 3200*sqrt(3) + 30256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 - 12752*o + 50954. What is t(4)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**2 - 22*m**2 + 34*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 164. What is the highest common divisor of 60 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83469296 to the power of 1\/2, to the nearest integer?\nAnswer: 9136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -7*b + 4*b + 91, 0 = 2*b - w - 49. What is the highest common divisor of b and 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -100*k - 77*k - 72*k + 245*k - 236 in the form r + i*k and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 - 56*z - 113\/2.\nAnswer: (z - 113)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -1. Let u = k + -4. Which is smaller: u or 2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 75, 63, 37, -9?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16164943076 minus -0.08?\nAnswer: -16164943075.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/6)*q\/(q*q**(-7)))**(-32) assuming q is positive.\nAnswer: q**(-688\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 3*j**2 - j - 5. Let d be v(4). Suppose l = -p + 4, 4*l + d + 7 = 2*p. Suppose s - 148 = 5*f, 8*s - p*f - 800 = 3*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*l, 2*j + 5*l = -3*j + 20. Solve -3*t = -2*t - j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2232, -2227, -2220, -2211, -2200?\n\"Answer: a**2 + 2*a - 2235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u - 5*u**5 + 6*u**5 - 4*u + (4*u - 4*u - 2*u)*(2*u**4 - 4*u**4 + 3*u**4).\nAnswer: -u**5 - 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37481 divided by -9?\nAnswer: -37481\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 229298.\nAnswer: -687894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2 - 1. Let i(y) = 11*y - 4. Let n(w) = 34*w - 12. Let v(g) = 7*i(g) - 2*n(g). Is v(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**3 + 3*j + 442. Suppose 3*m - 6*m = -3*g - 12, 3*g = -2*m - 7. Calculate the remainder when l(g) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Suppose -3*a - k - 6 = 2*k, 4*k = 2*a - 2. Let f(g) = 8*g + 2. Determine a*f(y) - 5*w(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145560529*s**5 + 88940213*s**2.\nAnswer: -8733631740*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) 0.13 (c) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 133.97, -8, -5 in ascending order.\nAnswer: -8, -5, -4, 133.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 = 3*u, -2*u - 5 + 1 = -4*o. Suppose c - 5*k - o = 20, 0 = -2*c + k + 80. Suppose -4*w + c = 10. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1742, 1149, 556, -37?\n\"Answer: -593*s + 2335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/2*8\/12 + 4. Suppose 12 = 3*h - 3. Let b = h - s. Solve -4 = 4*r - 0*r + 2*v, -1 = 3*r + b*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 2:19 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 26*s - 30*s + 2*u, -2*s - u = 16. Let b be (-2)\/(-6) - (s + 5)\/(-21). Suppose b*g**3 + 0 - 2\/7*g + 2\/7*g**2 - 2\/7*g**4 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 592, 1186, 1780?\n\"Answer: 594*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v**(-4))\/(v**2)**(-1\/8)*(v**(-1)*v*(v*v\/v**(-3\/11))\/v*v)**(-12) assuming v is positive.\nAnswer: v**(-1409\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2 + 17*x**2 + 10 - 2*x + 6*x**2 + x**3 - 34. Let s = 13 - 32. What is the tens digit of p(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 5:29 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x - 167. Let q(c) = 21*c - 833. Let w(t) = -14*a(t) + 3*q(t). Let m be w(23). Is m bigger than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6018792, 6018789, 6018786?\nAnswer: 6018783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 474390 and 196.\nAnswer: 6641460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 26*a + 51*a)*(-9*a - a**2 + 9*a).\nAnswer: -25*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 - 124.21. Round k to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13200, 26448, 39812, 53292?\nAnswer: 66888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37339, 37337, 37337, 37339, 37343, 37349?\n\"Answer: y**2 - 5*y + 37343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.1 + -6. Let v(p) = -p - 2. Let s be v(-6). Let i be (2\/(s\/(-6)))\/7. Which is the smallest value? (a) h (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01534 rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/(-9) + -7*(-16)\/(-112). What is the nearest to 19\/5 in -0.2, -2\/5, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (4 + -1*sqrt(612)) - (sqrt(612) - (sqrt(612) + -2 + -1 + sqrt(612)))) + 0 + -4)**2 + -4 + -1.\nAnswer: -396*sqrt(17) + 5624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -10*v + 5*v - 13, v + 2*l - 3 = 0. Let m be v*(3\/9 - (-36)\/(-27)). Solve -25 = m*w - 0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 6) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2746591?\nAnswer: 23, 119417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34933 + -51580. Round x to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1646465216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 7248.\nAnswer: 1\/604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - 18) + (-18 - (6 - 11))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100102 + -10?\nAnswer: 100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 484 + -1?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 143 - 45. Let k = q + -29. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 8*c + 2. Calculate the least common multiple of g(-6) and -1*(4 + -2 - 8).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 676719*r. Let a(w) = 2*w. Calculate o(a(q)).\nAnswer: 1353438*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1148552 or 0?\nAnswer: 1\/1148552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q**3 - 1. Suppose -3*b = 2*f - 1, 0 = 4*f + f - 5*b + 10. Let a be k(f). Sort -1.1, -3\/8, a in increasing order.\nAnswer: -1.1, -3\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*b + 40*b + 35*b + 123*b.\nAnswer: 246*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 62, 80?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 6774.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4)*f)**(-1\/7)*(f*f**(2\/7)*f)**(-8\/5) assuming f is positive.\nAnswer: f**(-527\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480 divided by 160.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-150))\/(-1*(-1)\/(-14)) + 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 14*c + 4)*(-27*c - 83*c + 0*c - 2*c**2 - 5*c).\nAnswer: -28*c**3 - 1610*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h**5\/7 - 96*h**4\/7 - 16*h**3\/7 + 88*h**2\/7 + 52*h\/7 + 8\/7 = 0. What is h?\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v + 23*v + 136 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 177, 1\/5, 48, 5, -0.2 in ascending order.\nAnswer: -1\/4, -0.2, 1\/5, 5, 48, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}