diff --git "a/data/dm_maths/full_data_1/1976_11255.jsonl" "b/data/dm_maths/full_data_1/1976_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1976_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: -29.5*-35\nAnswer: 1032.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 2\/(-8) - 37\/(-74). What is the closest to -1 in l, 2\/13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 4*b. Let u be m(-2). Suppose u*k + 3*v - 17 = 0, 4*k + k - 28 = 3*v. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 35*i**2 + 3*i + 101. Suppose 34 + 487 = -29*v - 494. Calculate b(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*q - 198 = 4*k, 122*q + 130*q + 2*k - 21 = 380*q - 127*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 31766755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**5\/15 - 18*h**4\/5 - 1508*h**3\/15 + 5712*h**2\/5 + 4224*h = 0.\nAnswer: -22, -3, 0, 12, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yxlixylll?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-3*(-24)\/(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 35 = 13. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.875807 rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4740880*m**6*q**2 - m**2*q - 2479*m*q**2 - 8*m wrt m.\nAnswer: -568905600*m**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1683)\/(-33) - 20490\/402.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s + 5. Let u(q) = -q + 1. Let t(f) = 2*c(f) + 6*u(f). Let j be t(0). Let n = j - 7. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**5 + 11110*x**4 - 187330*x**3 - 209560*x**2 + 187335*x + 198450 = 0. Calculate x.\nAnswer: -1, 1, 18, 2205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 102 + 3*q**3 - 53 - 52 + 4*q**3 in the form c*q**3 + x*q**2 + w*q + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -605 divided by -121?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19413 divided by 6471?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = 369 + 15. Suppose -a*g + 19*g + 40 = 0. Solve 2*k = x + g, -2*k - 5*x - 7 = -3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a - 12. Give s(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.767 + -2.2. Let h = 36.033 + l. Let y = h + -36. Put 0.1, -2, y in increasing order.\nAnswer: -2, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-20))\/(12\/(-21) + (-124)\/(-70))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 4)*(-1 + 0 + 0)*(-2 + 5 + 1)*(-3 + 4*y + 3).\nAnswer: 80*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 4, j: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 9 = 5*d, -3*o + 3*d - 6 = -15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -1, -47, -2 in descending order.\nAnswer: 5, -1, -2, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 909.9192 years in centuries?\nAnswer: 9.099192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 w, and 1 l when three letters picked without replacement from {l: 2, y: 1, w: 1, u: 2, a: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + f - 26 = 5*f, -5*v = -5*f - 10. Let k(h) = h**2 - 3*h. Let o be k(3). Let q = o + -1. Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-one fifths of a millennium?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 370*s**2 + 12643*s + 998. Determine g(-38).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 16.0000105. What is b rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 10*d**2 - 5*d + 26. Let x be s(6). What is the greatest common factor of 28 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 8. Let n be f(-6). Suppose -3*h + 47 = 2*h - 4*c, 26 = 2*h + n*c. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 + 4144630*l\/9 + 3223612.\nAnswer: -2*(l - 2072322)*(l + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -2\/7, 0.1, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 160\/25*5\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -95\nAnswer: 95.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*h + 27*h + 9*a + 99 = -26*h, -4*h + 5*a = 121 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 at least -256706\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (4 - (-5 + 6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6090827 and 1?\nAnswer: 6090826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1151*q**3 - 1343*q**3 - 2419*q**3 - 1262*q**3 + 3091*q**3.\nAnswer: -3084*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 0.014463.\nAnswer: 2.014463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 6)\/(0 - -2). Let s be 32\/(-34) - (-1 - 0). Which is smaller: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.3112 rounded to 1 dp?\nAnswer: -14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030998528 to the power of 1\/3, to the nearest integer?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 8*v**2 - 5*v - 7. Let b be q(7). Suppose 3*t - 4*g - b = 24, -t - 2*g + 17 = 0. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b - 159. Let m(g) = g. Calculate -f(o) + 6*m(o).\nAnswer: -2*o + 159","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266213222?\nAnswer: 2, 11, 71, 131, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*i**3 + 32*i**2 - 10*i**3 - 8*i**3 + 2 + 48*i**3 to o*i**2 + k*i**3 + g*i + u and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*d - 3084 + d**3 - 9*d - 18*d**4 + 3084 wrt d.\nAnswer: -216*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3988211 is divided by 124.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(69\/(2415\/910)))\/7?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20198437980.111+0.2\nAnswer: -20198437979.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1119*a**4 + 2*a**2 + 6*a - 164 wrt a.\nAnswer: 13428*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 28 and -10.61?\nAnswer: 38.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*p**2 - 2 + 13*p**2 - 9 - 16 as c + o*p**2 + v*p and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/3 - (-1)\/3. Suppose 4*z = 3*g - 18, 0 = 3*g + t*z - z - 3. What is the greatest common factor of g and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**2 - 24*n**2 + 11*n**2.\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + (125 - 119)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -7\/4*f**4 - 9\/20*f**5 + 25*f + 0 - 5\/2*f**3 - 3\/2*f**2. Suppose u(h) = 0. What is h?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 461 a factor of 548960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 2*y + 4*y - 311503*y**2.\nAnswer: -311503*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 6655. Let g be p(0). Let f = -66627\/10 + g. Find the common denominator of f and 8\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**3 - 26 + 63 - 37 + 447640*m**2 - 447640*m**2.\nAnswer: -17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from srssssccr?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 470095.9cm?\nAnswer: 4.700959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 105414 (base 6) in base 13?\nAnswer: 4141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 381960.4 centuries to millennia.\nAnswer: 38196.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4\/9 + 13036*c**3\/9 - 1569612*c**2 + 561335940*c + 4591886112.\nAnswer: -4*(c - 1089)**3*(c + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v + 388. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288)\/sqrt(96))\/sqrt(2))\/(1*-1*sqrt(48)))**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 108.65 * 494.43\nAnswer: 53719.8195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 113. Let c(y) = -18*y + 2. Let p be c(6). Let o = n - p. Calculate the remainder when o is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13204145 - 41?\nAnswer: 13204104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 21 + (-8 - (1 + -8))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 20 - -15) + 4 + 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -4*s - 35, -5*s - 8*l = -5*l + 34 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 389092\nAnswer: 1\/389092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -348093 - -2457279\/7. Let h = m + -2939. What is the common denominator of h and -47\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -449*w + 5089*w**2 - 450*w + 1357*w - 458*w as x*w + n*w**2 + q and give n.\nAnswer: 5089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.1, 1.5, -1.5 in descending order.\nAnswer: 1.5, 1\/4, 0.1, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*g**2 - 34*g + 2.\nAnswer: 2*(g - 1)*(16*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*f + 40*f + 4*d - 3, 3*f = 2*d - 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 1. Suppose 0 = -826*s + 820*s + 78. Let b be 4\/14 + (393\/21 - s). Solve 0 = -3*q, t + q = b*q - m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -513 - 724*z**2 + 973 - 460.\nAnswer: -724*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22175)\/12418 - (2\/6 + (-26)\/42). Let r = 0 - -37. Which is the nearest to -0.1? (a) r (b) -1\/10 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 702631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.275 + -0.025. Let m be -2 - (-77)\/55*-5. Which is the third biggest value? (a) 4 (b) d (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-81 - -202) + -77 - ((23 - 5) + 0)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 38 = 2*g - 16, 3*y + 54 = -2*g. Let t = -29\/2 - y. Let -1\/2*l**4 - 3\/2*l**2 + t*l**3 + 0 + 1\/2*l = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(450) - (sqrt(450) - (1*sqrt(450) - sqrt(450) - sqrt(450))))\/sqrt(9))\/sqrt(10))**2 + 5*(2 + sqrt(245)).\nAnswer: 15 + 35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 9*f**2 + 9*f - 4. Suppose 5*n - 212 = -42. Suppose -29*t + 25 = -n*t. What is the tens digit of o(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((10 - 7) + -24 + 18) - 29?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 155 = 4*i. Calculate the remainder when 91 is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 314 - 316. Let d be 18\/(-14) + -1 + 2. Put d, h, -1\/8 in descending order.\nAnswer: -1\/8, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*o**3 - 3 + 2*o - 2*o**2 - 25*o**3 - 4*o**3 to the form q*o + z + i*o**3 + k*o**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(16\/10 - 2). Suppose -3*w + 28 - t = 5*i, -5*w + 22 = 3*i. Determine c so that 3*c**4 + c**5 + 0*c**5 + c**i + 2*c**3 + c**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8\/157 - 141\/314. Which is greater: u or -0.785?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*k + 0 - 119*k + 0.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19196 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143 + 266. Let d = z - 117. Solve -5*f - d = -31 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 8*f + 6. Let p(b) = 15*b + 11. Let k(o) = 11*h(o) - 6*p(o). Suppose 45 = 2*x - 37. Let l(w) = 41 - x + 4*w. Give l(k(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuu when three letters picked without replacement from {u: 2, n: 8, i: 8}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*w - 304 - 645, 0 = 5*j - 2*w - 4691. Let t be (2\/(-4))\/(j\/(-312) + 3). Let s = -47 + t. Sort -2\/9, s, 4 in ascending order.\nAnswer: -2\/9, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -11*b - 12. 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 comes next: 210, 243, 286, 333, 378, 415, 438, 441?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 830861, 1661736, 2492611, 3323486, 4154361, 4985236?\n\"Answer: 830875*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4 - (2 + -2 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a + 1. Let w be s(1). Suppose 0 = 2*q - w*q + 100. Suppose -p + q = 4*k - 8, 0 = -3*k. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.059 in 3\/5, -0.4, -0.17, 392?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + 2*k + 1. Let t be d(-1). Let v = -7 - -11. Suppose 4 = 4*q - v*x, -7*q - 3*x = -2*q - 37. Put q, t, 4 in decreasing order.\nAnswer: q, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*h + 38*h - 45 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -1. Suppose -9*f - w = -10*f. Suppose 13 = c + 3*x, -f = 2*c + x - 16. Solve 0 = c*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/69, -2, -0.2?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/(-185)*30\/(-57) - (26304\/(-342))\/(-4)?\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12366, -5, 211 in decreasing order.\nAnswer: 12366, 211, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 149*z - 4. Let b(c) = -164*c + 5. Determine 6*b(t) + 7*w(t).\nAnswer: 59*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -171, -357, -545, -741, -951?\n\"Answer: -x**3 + 5*x**2 - 194*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 88 = -7*z. Solve 38*p + z = 42*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (14 - 8) - -7 - 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7130*s**3 + 7631*s**3 - 2*s + 4*s to q*s**2 + a + j*s**3 + x*s and give j.\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -11)*(-1)\/(-3). Let b(v) be the third derivative of v**6\/60 - v**5\/20 + v**3 - 44*v**2 - 1. Does 5 divide b(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3247 + 8747 = -2*b, s + 2403 = b. What is s rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, 6, 1, 0.14, 3\/4, 0.021?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246166397 is divided by 430.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and -48 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 245 + -244.6. Which is the biggest value? (a) 2\/7 (b) f (c) 381\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) -2\/147 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/1030 and -49\/412?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 6*n + 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/70 and -21\/620?\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-9)*(-153)\/1020*12\/3)\/(-1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0176 - -0.0176. What is the closest to 70 in j, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 40772200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -13. Suppose -93 = -3*y + 2*i, -y + 5*y + n*i = 124. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-232)\/(-8))\/(-551))\/(-1).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1000 and 6250750.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.57 - -31.43. Sort -1\/4, t, 1 in descending order.\nAnswer: t, 1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -106.587 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1344390 divided by 4.\nAnswer: -672195\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -714*s**3 - 45*s**2 + 19*s + 12. Let q(v) = -119*v**3 - 7*v**2 + 3*v + 2. Calculate 2*l(x) - 13*q(x).\nAnswer: 119*x**3 + x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*m**5*w*x - 701*m**2*w*x + 6*m*w - 24*m + w*x + 9*w wrt m.\nAnswer: 200*m**3*w*x - 1402*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 49*j - 44*j = 45, 11*r = 4*j - 103 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71422001 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1216) + -2 - sqrt(1216)) + -4 + -1*sqrt(1216) - (sqrt(1216) - 6*(sqrt(1216) + -2 + sqrt(1216)))*-6)**2 + 5.\nAnswer: -66464*sqrt(19) + 5462473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 181\/480 - 1381\/480. Let s be ((4\/(-3))\/2)\/1. Which is the nearest to s? (a) 7 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -86189.2 and 0.4.\nAnswer: -34475.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = w + o, 3*w = o + 7 + 13. Suppose 2*u - 25 = -5*f + w*u, -f + 6 = -u. Is 1\/23 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 - -52. Let m be 1*15\/g*40\/(-3). Find the second derivative of -27*d + 21*d - 13*d**4 + m*d wrt d.\nAnswer: -156*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, i: 1, s: 2, d: 4, y: 2, t: 4}. What is prob of sequence itts?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orrn when four letters picked without replacement from rrrronnoonnrrrnrn?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r**2 + r**2 - 4*r**2 + 22*r**2.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20, 168, 592, 1436, 2844, 4960, 7928?\n\"Answer: 24*b**3 - 6*b**2 - 2*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1710 - -448. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 2*j = -14. Calculate the least common multiple of 14 and 3\/(j*(-9)\/24).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, 1\/3, 14, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*v**2 + 1 - 24*v**3 - 1 - 60*v**2 wrt v?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102639 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12821*4\nAnswer: 51284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2317 - -2319. Let z be (-2 + 216\/105)*10. Find g such that -z*g**3 - 16\/7*g**o - 8\/7 - 20\/7*g = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -50*b - 4. Let v(z) = z**2. Calculate v(u(g)).\nAnswer: 2500*g**2 + 400*g + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9*t**2 + 73*t + 256. Calculate d(-6).\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 - 59*g + 29. Let f be d(29). Suppose 4*h + b - 403 = f, -2*h + 2*b + 68 = -146. Calculate the greatest common factor of h and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 5) + -17 + (12 - (33 - 9)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 700259?\nAnswer: 5\/700259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-996)\/10)\/2 + 13\/(-65). Let n be ((-20)\/j + 18\/(-20))*-8. Is n\/(-30)*3 + 22188\/20 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 16 = -1. Let v = t - -9. Let u = v + 6. Is u at most as big as 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*q, -3*y - 5*q = -2*y - 28. Let j be -2*(y + -1 + -1). List the prime factors of j + ((-18)\/(-8))\/(24\/512).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2 + 17 = -n, -4*n = 4*w - 4. Suppose 4*u = w*f + 48, 0 = 5*u + 6*f - 3*f - 20. What is the least common multiple of 2 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkfdbfwqq. What is prob of sequence dk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 1. Let i be r(4). Let s(d) = -4*d + d - i*d - d. What are the prime factors of s(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2482792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18*0.40577\nAnswer: 7.30386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 25*p - 2*p - 70 = 7*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -1 + -2)**2 - (5 + sqrt(20)\/sqrt(4) + 5).\nAnswer: -43*sqrt(5) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 + -0.03. Let r = -0.19 - j. Let m = r + 0.21. Which is the nearest to 0? (a) 1 (b) m (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*b + 28*b - 135. Let c be (-329)\/(-63) - (-6)\/b. What is the highest common divisor of 25 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349864?\nAnswer: 2, 101, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 249 and 317927101?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1909253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353784 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10, g: 10}. What is prob of sequence gygg?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934223989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, t: 3, f: 9, y: 2}. What is prob of picking 1 f and 1 x?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u + 29*u = -20, 6*u + 18 = 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111 divided by 6?\nAnswer: 1111\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 104369 and 0.4.\nAnswer: 104369.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 4:13 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + v**2 - 33*v - 17. Give u(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3.35 (b) 14 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -219226*r + 62. Suppose -2*y - 5*q = -7*y - 60, -53 = 4*y + q. Let c be i(y). Round c to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3829 rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i - 7 + 73 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 7. Let k be t(6). Suppose -3 = -5*b - 3*s, 3*b = 2*b + s - k. Let q be (0 - 1)\/(b - -1). Which is greater: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 65353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1869.\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 10*x - 2. Let t = -1 + -1. Let d = 9 + t. Is l(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 903.3502 decades to centuries.\nAnswer: 90.33502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 14 - 3643*i - 325*i - 10 - 17.\nAnswer: -3968*i - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/29)\/(6\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (174 - 133) + (2 - (-2 + 3)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 * 0.034.\nAnswer: -0.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(132)\/(-1*sqrt(12)) - sqrt(11) - sqrt(11))**2 + (sqrt(99)*-1)\/sqrt(9).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (0 + 1) - (60 - 58)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*a + 1, 5*a - 9*h + 8*h = 9. Solve -3*v + 7*v = 2*s - 6, 2*v + 6 = -a*s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-203)\/21*2. Let h(m) = -m**3 - 3*m**2 + 5*m - 1. Let o be h(-5). Let x = o - z. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1985977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396690494 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60259 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 18*r + 10. Let g = -19 - -29. Let b(k) = k + 5*k - g - 2*k - 21*k. Let a(w) = 5*b(w) + 4*y(w). Differentiate a(u) wrt u.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -28 (b) 0.3 (c) -4419859\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15269.\nAnswer: 15269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/b**(-2\/9))\/b))\/(((b*b**(1\/10))\/b*b*b*b)\/b))\/(b**(3\/2))**(-15) assuming b is positive.\nAnswer: b**(953\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 833 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**5\/20 - v**3\/3 + 13*v**2 + 5*v. Let f be k(0). Suppose -15*i = -13*i - f. What is the highest common factor of 91 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -459898.8 rounded to the nearest one hundred?\nAnswer: -459900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1449 - -1446.29. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -2. Let f = m + 9. Find the first derivative of -a + 2*a + 1 - f wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccvcccv. What is prob of picking 2 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 4737451.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/217217 and 47\/12481.\nAnswer: 387297911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**4 + 10*d**3 - 88*d - 2 wrt d.\nAnswer: 36*d**2 + 60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11525 * 0.5\nAnswer: -5762.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 8, 3*r - 7 = -3*n - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/9)\/b)\/b**(-2\/27) assuming b is positive.\nAnswer: b**(-31\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33666687 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w**2 + 3*w**2 + 3*w**2)*(2 + 10 - 2)*(-1 - 1 + 1) as i*w**2 + h + k*w and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 11380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (296\/12*1)\/((-4)\/54). Let h = 1997\/6 + k. What is the biggest value in 3\/4, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - 4*r**2 - r - 3. What is q(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(1 + -3 - (1 + -2)). Suppose 5*j = -c*w + 9235, j - 5*w - 1383 - 464 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4\/9, 0.4, -6, -5\/26, -0.2.\nAnswer: -6, -1, -4\/9, -0.2, -5\/26, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + -4*-2*sqrt(130))\/sqrt(5))\/((sqrt(18) - sqrt(450)*-6)\/sqrt(9))*4.\nAnswer: 36*sqrt(13)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/90)\/(15\/(-75))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-2) - (-164180 + 8)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + 7*d + 1. Suppose -2*v + 17 = -5. Calculate the remainder when l(-6) is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135475008.\nAnswer: 2, 3, 29, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**31\/(((s**6\/s*s)\/s)\/s) assuming s is positive.\nAnswer: s**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13020 and 315.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 158 = 3*t - 2*l, -l = 4. Suppose 0 = 4*i - 22 - t. Calculate the highest common divisor of 45 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/65 - 2\/65. Let f be (-2 - -2)\/(-1 - 0). Are f and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 3*q - 5. Suppose 4*v - 18 = -5*k + 6*k, -4*v - 6 = 3*k. Determine p(k).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15957177 to the power of 1\/3, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - n = -624. What is the greatest common factor of 26 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*(x\/((x*x\/(x\/((x\/(x\/(x\/(x**(-1\/3)\/x)))*x)\/x)))\/x))\/x)**(-12)*x*x*x**(-1)*x*x**2)**(-18) assuming x is positive.\nAnswer: x**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28801068515\/792 + -36364960. Let l = y - -1\/792. Find the common denominator of l and 310\/24 - (2 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 70, 66, 60, 52, 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 232237, 464275, 696313, 928351, 1160389, 1392427?\n\"Answer: 232038*y + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, l: 7, q: 3}. Give prob of picking 2 l and 2 v.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 3:02 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 81012.602 to the nearest one thousand.\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138237.\nAnswer: 3, 11, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1469, -5, -3, -2, -4, 8761 in descending order.\nAnswer: 8761, 1, -2, -3, -4, -5, -1469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454 a factor of 24116044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*d - 6 - 13 = 0, 0 = 4*d + 16. Let x(z) = z**3 - 2*z**2 + 39*z - 13. Let t be x(v). What is t rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 12\/(-9)*(-33)\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/1546 + 3113\/10822. Sort x, 0.3, -1, 105, 3\/2 in descending order.\nAnswer: 105, 3\/2, 0.3, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 222 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = a - 13, 5*a + 3*n + 2*n = 45. Calculate the remainder when a is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-16) - (-9)\/(72\/(-67)). Suppose -5*r = -4*o + 56, -2*o = -5*r - 4*o - 32. Are r and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w + 2. Let a be s(-2). Let k = a + -22. List the prime factors of k + 0\/(-3) + 46.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 20 = 4*n, 0 = -10*n + 8*y - 200 + 114 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 1636040*a - 70340475.\nAnswer: -5*(a - 327165)*(a - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11)\/(a\/a**20))\/((a*a\/(a*a\/a**(-14))*a)\/a**15) assuming a is positive.\nAnswer: a**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -173937373061642.\nAnswer: 173937373061641.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q + 14. Let d(o) = 5*o - 7. Let v(p) = 11*d(p) + 6*k(p). Give v(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 236 - 56. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3 - 6 = -d, -4*z = -12. Let n be (d - -3)*(4 + -3). Differentiate -a**3 + 2 + 3*a**n - 4*a**3 with respect to a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 20, 5*n - 4*l - 22 = 13. Suppose x + 17 = -0*z + z, n*z = 5*x + 51. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 279366?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -10*f + 7*f + 1451, -3*w = f - 1082. Is w a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {c: 2, a: 1, s: 1, k: 1, b: 1, f: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10112012 (base 3) in base 14?\nAnswer: -d18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -241\/1254 - -5\/38. Is d <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**3 + 7*r**2 + 5. Suppose -m - 4*h + 220 = 0, -h = 3*m - 880 + 187. Let l = m + -239. Let g(n) = 5*n**3 + 6*n**2 + 4. What is l*g(w) + 6*z(w)?\nAnswer: -5*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*c + c. Suppose 2*d + 0*d = c*j - 647, 5*d = 25. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n = 18*n - 4. Let y(z) = 2*z + 3. Let a(j) = -j - 1. Let b(r) = -4*a(r) - y(r). What is b(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1705 = 1629*l - 76 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((96\/10)\/4)\/((-111)\/370).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 757673 (base 13) in base 3?\nAnswer: 12012010201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((2\/(-17))\/2). Suppose g + 178 = 2*g. Suppose -2*u + g = 2*t, 4*u = -0*u + 4*t + 324. What is the greatest common factor of u and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 2*t - 8. Let o be k(6). Let h(g) = -9*g. Let x be h(-4). Let m = o - x. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58718373*x**2 + 70955527*x?\nAnswer: -117436746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**(6\/11))\/c)\/c)\/(c\/((c*c\/(c*c\/c**8)*c)\/c))*(c*c*c**(4\/3)*c)\/(c**(2\/43)\/c) assuming c is positive.\nAnswer: c**(16661\/1419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, g: 1, f: 1, v: 2, r: 2, k: 6}. Give prob of sequence kkgw.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-282)\/(-3384))\/(1\/3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -165.691 + -0.309. Let k = n - -110. Let r = k - -56.3. What is the smallest value in 9, -0.4, r, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - -1 - (-64 + 67)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.920436us?\nAnswer: 0.000000920436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9745 - 5*i**3 - 3*i**3 - i**3 - 9801 - 2*i**3.\nAnswer: -11*i**3 - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 + 33\/9 + -2. Suppose -3*s = 3*i + 27, -6*i - 31 = -i - t*s. Let f(w) = -6*w**3 - w + 1. Let d(y) = -11*y**3 - y + 2. Calculate i*f(j) + 4*d(j).\nAnswer: -2*j**3 + 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/8*-2 - 2. Solve 0 = z - u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -10 - 2 + 4 - 6*v + 2*v. Let t be f(-2). What is the tens digit of -1 + 3 + t + 1 - -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03071054864 rounded to 3 decimal places?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 58?\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 - 106*o**2 - 100*o**2 to the form j + t*o**2 + i*o and give t.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93 by 6.\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4340 - -4225. Which is smaller: m or -2\/35?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159202222177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -3*k + 29. What is the remainder when k is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2 - n + 0*n**2 - 1 + n**2. Let t be x(3). Factor 2*q**5 + 0*q**2 - 6*q**4 + q**5 + 6*q**2 - 3*q**t.\nAnswer: 3*q**2*(q - 2)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -302, -608, -916, -1226?\n\"Answer: -a**2 - 303*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7*a + 4 = 0. Let o(r) = -3*r - 1. Let u(n) = n. Let t(y) = a*o(y) + 2*u(y). Calculate t(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*x - 75 + 12. Let p(r) be the second derivative of 2*r**x + 0*r**2 - 10*r + 3\/5*r**5 + 10\/3*r**4 + 0. Factor p(f).\nAnswer: 4*f*(f + 3)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 + 328?\nAnswer: 2a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -1. Let v = -0.463 + -3.537. Which is the second smallest value? (a) v (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579 plus -4203993?\nAnswer: -4203414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523 = 4*k - 43. What is the common denominator of -1 + 0 + (-258)\/k and (22\/(-60))\/((-2)\/(-27))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 1)\/((-12)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two thirds of a minute in seconds?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 21 + -12 - (-1 + 12)) + 8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.154 take away 0.19?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -175. Suppose 311*v = 294*v + 527. Calculate the remainder when u is divided by v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2196)\/(-5490))\/((-1518)\/(-380) - 4).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1979, 2, 127 in decreasing order.\nAnswer: 127, 2, 0, -1979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*t**2 + 176*t + 33760 wrt t.\nAnswer: 90*t + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110109, 220216, 330319, 440418, 550513?\nAnswer: 660604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*z + 278 + 400, -3*q + 2*z + 512 = 0. What is the highest common factor of q and 3340?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -50*y**2 - 2*y. Let o(r) = -2*r**2. What is g(o(j))?\nAnswer: -200*j**4 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2409803 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s - 112 = 36*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -403808, -808407, -1213794, -1619969?\nAnswer: -2026932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2 - 7*a + 2 + 12. Let g(f) = -8*f + 11. Let o(y) = -6*g(y) + 7*x(y). Let h be o(10). Solve -6 = -k + 3*c, 4*c + h = -k - 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 53 - 11 - 8 + 4*g**2 - 2*g**2.\nAnswer: 3*g**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (0 - 0) + 32\/2. What is the common denominator of 12 + -9 + (-43)\/i and 73\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Is 2141117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 2*r + 1. Let y be a(-3). Let t be (-660)\/((27\/y)\/9). Calculate the greatest common factor of t and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.086 to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 588, 1985, 4700, 9171, 15836, 25133, 37500?\nAnswer: 53375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/5100*-36*-51*(-2)\/((-4)\/(-2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + -21 + (34 - 32) + -17.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -58\/25 (b) 1\/5 (c) -5 (d) 7 (e) 24\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/5)\/(q\/q**(-1\/23)) assuming q is positive.\nAnswer: q**(-143\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/18)\/((-1)\/(-3)). Suppose -2*s = 4*s - 66. Suppose 0 = 4*z + 5 + s. Which is the second smallest value? (a) z (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17102067?\nAnswer: 3, 83, 68683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8)*2)\/(1\/3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rggeyyf. What is prob of picking 1 g and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25394 + 82.8.\nAnswer: -25311.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15493*x - 288 = 15461*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*u - 26*u**2 + 32*u**2 - 2*u**3 + 7*u.\nAnswer: -2*u**2*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -11*f**2 - 4*f - 1. Let s(p) = -10*p**2 - 5*p - 1. Let q(x) = 2*s(x) - 3*y(x). Let j be q(-1). Solve 0 = -2*t - 2*t + j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -3021?\nAnswer: -301c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/3 + 46*p\/3 - 111 = 0 for p.\nAnswer: 9, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 - 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2606024.\nAnswer: 2, 325753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -5\/12*y**4 - 3\/2*y**2 + 0 + 1\/10*y**5 + 1\/2*y**3 - 23*y. Let h(b) = b**3 - 14*b**2 - 32*b + 3. Let s be h(16). Give u(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 426705 and 2430.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, y: 2, g: 4, f: 2, x: 2}. Give prob of picking 1 f, 1 x, and 1 l.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l = l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 11 + -5 - (-1 - 36\/(-5)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 26277\/936 - 28 - ((-6)\/16)\/(-3)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72781\/27641475 + -20\/25713. What is the common denominator of i and 29\/30?\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u = 45*u - 140. What is the smallest common multiple of u and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 0*y + 2*y)*(-y - 6*y + 10*y + (2*y - y + 2*y)*(4 - 1 - 2) - 30*y - 2*y + 48*y) to k*y**2 + o*y + j and give k.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1390 - -261?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157318 by 14.\nAnswer: 11237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 11*f = 143. Let k(r) = r**3 - 9*r**2 + f + 3*r**3 - 3*r**3 + 6*r. Give k(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 321*w**2 - 1 - 1033*w**2 + 3 - 2 to the form x*w + d*w**2 + u and give d.\nAnswer: -712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 4. Let c(q) = -q**3 + 14*q**2 - 4*q - 87. Let w be c(13). Suppose -w*m + 31*m = -5*l + 3, -6 = -2*m. Determine g(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 6. Let c = a + 1. Let q = -4 - c. What is the smallest value in -4\/7, q, 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioppppppppppiip. What is prob of sequence pi?\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*220622.3.\nAnswer: -2647467.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.36 - -18.64. Let l = s + -23. What is the biggest value in l, 10\/3, 0.1?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z = -130 + 55 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 50\/7 (b) -6971 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 3*t - 44 + 63, -6*t + 2 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g + 36. Let x(n) = -n + 1. Let m(c) = -v(c) - x(c). Let i(s) = 3*s**2 + 4*s**2 - 8*s**2. Calculate i(m(u)).\nAnswer: -4*u**2 - 148*u - 1369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.09+1919161515\nAnswer: 1919161515.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 53*f + 1488 - 1488. Is f at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) - (sqrt(3) + 0) - sqrt(3)) + 5 + -1)*6 - ((sqrt(12)\/(sqrt(12)\/sqrt(3)) - 2*sqrt(3)*1)*-2)**2) + 1.\nAnswer: -6*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from dddhhhhh?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/467, 0.1, 3 in decreasing order.\nAnswer: 3, 0.1, 2\/467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.87043606 rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s**2 + 3*s + 1. Let q(l) = 43*l**2 + 11*l + 11. Let j(d) = 7*d**2 + d + 2. Let h(v) = 4*j(v) - q(v). Give -9*f(u) - 4*h(u).\nAnswer: -3*u**2 + u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1223*q**2 - q + 161.\nAnswer: 2446*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 4 - (-10 - -5)) + -8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 3089.\nAnswer: 3094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - 1927?\nAnswer: -1934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12760 and 609?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20*2\/2 - 8. Let q be 16*(-6)\/(-9)*3. Solve -s + q = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302, -597, -894, -1193, -1494, -1797?\nAnswer: -2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2381304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - ((-3 + sqrt(320))*6)**2) + sqrt(320) + (-1 + (sqrt(320) - (sqrt(320) + 2)) - sqrt(320))**2.\nAnswer: -11515 + 1792*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, -338, 74, 16 in descending order.\nAnswer: 74, 16, -5, -7, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*l = 482*l - 119*l - 65238 for l.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(18) + (sqrt(18) - sqrt(2178)) - sqrt(2)))**2 + -3 + 5.\nAnswer: 1573\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0054072565 rounded to 6 dps?\nAnswer: 0.005407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/75 of a week?\nAnswer: 16128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 291262 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 162349251455.425.\nAnswer: -162349251455.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u - 10*u - 47*u**3.\nAnswer: -47*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -909*j - 88058. Give y(-97).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + c = -2*w + 25, -30 = w - 5*c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 3:51 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 less than -3242698?\nAnswer: -3243233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*k + 93*k - 130. Solve 0 = -k*n + 2*z + 8, -2*z = -4*n + 27 - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d + 1. Let x be m(2). Let h(w) = 2*w**2 + w + 2. What is the remainder when h(-3) is divided by x*1 + 6\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 14*d**2 + 5. Determine o(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350756462, 350756463, 350756464, 350756465, 350756466, 350756467?\nAnswer: 350756468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7363 is divided by 172.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -163, -9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1196*a*d**3 + 57*a*d - 95599*d**3 + d**2 + 2*d wrt a.\nAnswer: 1196*d**3 + 57*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22671\/557 + 20906951\/22280. Let k = r - 4941\/5. Find the common denominator of -95\/6 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**2 - 84*p + 405. Let y be h(4). Determine c, given that 2\/7*c**y + 0*c**2 - 2\/7*c**3 + 0 + 0*c + 0*c**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1649301000 to the nearest one million.\nAnswer: -1649000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1471\/661, -2\/3 in ascending order.\nAnswer: -2\/3, -1\/4, 1471\/661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 8, 21, 36?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (12 + -7 + (-11 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -931*h - 2 - 934*h - 927*h + 136*h**2 + 2790*h as m*h**2 + d + a*h and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -217 + 170. Let t = 44 + i. Let f = -1.6 - 1.4. What is the closest to t in 4, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 - (-20)\/5 - -40. Is (v - 35) + 0 + (5476 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*l + 4*c + c, -l - 2*c - 1 = 0. Sort 10, l, 2 in increasing order.\nAnswer: l, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + h)*(-2 + 3 - 3) - 18*h - 18*h + 30*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -240.26367 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*c + 18. Suppose -4*l + c = 0, 4*f - 3*f + 5 = 4*l. Suppose -2*q - 60 = -5*r, 2*q = -4*r + f + 51. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -54*i**3 - i**2. What is f(-1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -2*z**6\/3 + z**4\/4 - 13*z + 32. Let k(w) be the first derivative of p(w). What is the third derivative of k(q) wrt q?\nAnswer: -480*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 10*g + 55 = 0. Let i = 151 - g. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -18923*w. Let q(g) = -31*g**2 - 9. Calculate q(h(o)).\nAnswer: -11100477799*o**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -5, 16, 51, 100?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4))**(18\/7)*q**(-7)\/q*q**(-2\/39)*q assuming q is positive.\nAnswer: q**(-3499\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 1908?\nAnswer: 24804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/2*6\/9. Suppose -k = -4*o + 8, -2*o + 3*k = 4*k - s. Calculate the remainder when (-3)\/(-9) + 40\/6 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27067 - -27067. Let y(u) = -u**3 - 2. Calculate y(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.46 - -0.04. Which is the fourth smallest value? (a) p (b) 5 (c) 0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -25947?\nAnswer: 13\/25947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -507 - -508. Let u(z) = 5*z + 10. Let h(p) = -p - 1. Give i*u(y) + 6*h(y).\nAnswer: -y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - -1*sqrt(114))\/sqrt(3))\/(sqrt(4)\/(1*sqrt(2))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z. Let x(g) be the first derivative of g**2\/2 + 8*g - 2. Let m(i) = -3. Let d(t) = -8*m(t) - 3*x(t). Determine l(d(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 375*z + 1. Suppose 6*l - 3*l - 6 = 0. Let w be y(l). Suppose -10*f + 11*f - w = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(847) + -1) + sqrt(847) + (sqrt(847) - (sqrt(847) + 1 + -3)))*-4 - (sqrt(847) + 1*sqrt(847) + -1 + (sqrt(847)*-2 + -5)**2)*-4.\nAnswer: 968*sqrt(7) + 13636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1694 + 1498.375. Let u = -196 - a. What is u rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -39*(-4)\/(-12) + 2881?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25585638 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 6*n = -7*n. Solve -4*u + 12 = -4*q, -q + n = -1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -104518934 divided by -4.\nAnswer: 52259467\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1331) + 2 + 2*sqrt(1331) + sqrt(1331))*1)**2.\nAnswer: 352*sqrt(11) + 21312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -28. Let j = 24.988 - f. Round j to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1370 or 1400?\nAnswer: 1370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l - 8. Let c be y(-6). Let u = 19 - c. Let t = 11 - u. Solve -3*x = -t*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 5*o - 5, -2*o + 2*d - 15 = 5*d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5 + 468*m**4 + 32954*m**3 + 761024*m**2 + 7198653*m + 24272116 = 0. What is m?\nAnswer: -388, -47, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 + 101. Let q(i) = 3*i**2 - 3*i - 21. Let g be q(5). Let a(b) = d + b - g. Let x(s) = -14*s. Give x(a(o)).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.206 - 11.9061. Let x = -1.7 - w. What is x rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 57877, 4, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 c, and 1 q when four letters picked without replacement from {c: 2, p: 1, q: 7}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k - 89. Let c(v) = -2*v + 60. Let d(z) = -5*b(z) - 7*c(z). Let t be d(17). Calculate the greatest common factor of 232 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12772 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 21 = -5*q, 98 - 93 = q - 2*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Let j(q) = -2*q - 170 + 170 - 8*q. Give x(j(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -1\/4 (c) 264 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-13\/6)*p*p\/(p**(-17\/3)*p)*p)\/(p*p*(p\/(((p*p**8)\/p)\/p))\/p)**(-1\/28) assuming p is positive.\nAnswer: p**(149\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z. Let s be (-4 - 0)*9\/9. Let l be (s\/((-4)\/2))\/2. Let o(c) = -c. Let k(p) = l*n(p) + 5*o(p). What is k(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrw when three letters picked without replacement from {w: 8, f: 1, r: 2, b: 5}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 12:48 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 13 = -6*f, 4*h = -9*f + 4*f - 6. Is h <= -2\/709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36593 - 36596.40068. Let p = -3.4 - g. Round p to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) 0 (b) 271 (c) 1 (d) -1\/36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3407, -3684, -4029, -4448, -4947?\n\"Answer: -z**3 - 28*z**2 - 186*z - 3192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1168 - 1168 + 77*i)*(-i + i - 3*i**2) - i**3 - 1 + 1.\nAnswer: -232*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p - 2811 = 33459. Suppose -41*q + 11*q + p = 0. Which is the biggest value? (a) 0 (b) q (c) -2\/9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342019646.\nAnswer: 2, 19, 9000517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6*g = -3*x + 12613, -x - 4*g = -4219. What are the prime factors of x?\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 12, 5*d + 4 = 3*v - 8. Suppose -z + k + 1 = d, 0*k + k = 1. Find the second derivative of 17*s + 3*s**2 + 4*s**2 + 3*s**z - 12*s wrt s.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 2*n**2 - 4*n + 4*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 12) + -3 + 3 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794154941 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 0*v**2 - 2*v**2 + (5 - 7 + 3)*(-3*v**2 + 7*v**2 - 3*v**2).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 715*n - 1805*n - 311*n - 2188*n in the form r + m*n and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 46 = 3*i. Suppose 2*c = -i + 53. What is the first derivative of 17 + c*u - 8 - 11 wrt u?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3690 = -17*v + 2*v. Suppose 3*l + 306 = 5*a, -v = -4*a + 7*l - 4*l. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - (20 - (-2 - -4))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 90*v**2 + 1708*v + 6. Let z be b(-19). Solve 0 = 17*x - 146 + z for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -58 - (-2 + 2 - 2). Let c be 134668\/d - (-4 + 2). Let z = -2399 - c. What is the common denominator of 41\/6 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5498 = 5*v + s, 2192 = -2*v - 4*s. Let n = v - -2580. List the prime factors of n.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15347948 is divided by 2020?\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*s + 35 = 0, -3*s = -x - 5*s + 38. Calculate the highest common divisor of x and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b. Let d = 10 - 16. Let s(m) = -3 - 3*m + 2 - 2*m + 9*m. Give d*x(h) + s(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21146, -21148, -21150?\nAnswer: -21152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*3 + 6\/3. Let s(w) = -w**2 + 72*w + 306. Let y be s(-4). Solve -x*n = -y*n + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1383763 to two decimal places.\nAnswer: 2.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -245, 5103, 1 in descending order.\nAnswer: 5103, 4, 1, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402186*i + 8*i**2 - 402186*i.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 107734799 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 + 184 = 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 18. Let h(m) be the third derivative of 0*m + 0*m**3 + 2 - 1\/12*m**4 + 4*m**2. Give b(h(i)).\nAnswer: 2*i + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 = 10. Calculate the smallest common multiple of b and 1 - 21*1*-1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.86? (a) -3 (b) -4 (c) 0.05 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0005 and -0.2441.\nAnswer: -0.00012205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 951218388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 0*w + 1\/5*w**4 + 3\/5*w**2 - 4\/5*w**3 + 0 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 10, 4 in descending order.\nAnswer: 10, 4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 703152959.85 + 3.\nAnswer: 703152962.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27641 is divided by 6907?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2492714915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8*(0\/5 + -1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 19 (b) -3 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8478770 divided by 8741\nAnswer: -970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(14)\/(sqrt(224)\/sqrt(8)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -31009.4436 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -1 + -12 + 212\/68\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.5 + 0.5. Suppose 0 = -2*u - 12*l + 15*l + 10, 0 = -3*u + 3*l + 9. Which is the fourth biggest value? (a) -0.3 (b) 4\/19 (c) u (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 768041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = j - 12, -2*j - 3*a = j - 27. Suppose -43*h - 455 = -50*h. Let g = h - 49. Solve -j*b - g = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 6. Let u = -6 - -6.1. Which is the closest to u? (a) k (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 331836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 27 = n + 2*n, -5*n - c + 38 = 0. Find the second derivative of -17*i**3 - 3*i + 33*i**3 - 18*i**3 + n*i wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111165.\nAnswer: 3, 5, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, -5, -1 in ascending order.\nAnswer: -5, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {y: 4, b: 2, s: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.03627.\nAnswer: 0.018135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 12007 = j + 1662, -2*j - 2 = 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 28 = -0*f. Suppose -4*o + 8*o = 5*w - 12, -f = -o - 3*w. Let x(z) = 3*z - 2*z + o - 2*z - 1. Determine x(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 316*p + 2272.\nAnswer: 4*(p + 8)*(p + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/117 and 23\/990?\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 4, -15, 155 in descending order.\nAnswer: 155, 4, 3, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbnd when four letters picked without replacement from {y: 2, n: 4, x: 1, b: 4, d: 2, i: 1}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249422.\nAnswer: 2, 311, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 649 = 4*u + 654, -43*u = -2*c + 88 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (148*b - 2 - 149*b - 1)*(4 - 1 - 5 + 8*b).\nAnswer: -8*b**2 - 22*b + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -1, -14 in ascending order.\nAnswer: -14, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -41*p**2 + 22*p + 639. Let w(a) = 7*a**2 - 4*a - 128. What is 2*i(r) + 11*w(r)?\nAnswer: -5*r**2 - 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71.5 or 482?\nAnswer: 71.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -693*x + 6*x**2 + 681*x - 31*x**2 + 16*x**3 - x**2 = 0.\nAnswer: -3\/8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31118627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 0 + 0*m - 11*m**2 + 0*m**3 + 0*m**4 - 1\/200*m**6 - 1\/50*m**5. Let c(i) = 0. Calculate i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1418440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201101102 + 1001101?\nAnswer: -11200100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -26. Let w(b) = -b. What are the prime factors of w(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*((sqrt(3) + ((sqrt(27) - sqrt(54)\/sqrt(2)) + sqrt(27))\/sqrt(9))*6 + (sqrt(108) + 2 + 0)**2).\nAnswer: 144*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3. Let n = -102 + 106. Let j(v) = 3*v - 9. Let f be j(3). Sort f, n, i.\nAnswer: i, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26245644 to the power of 1\/3, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 6*k**5 - k**4\/6 + k**3\/3 - k**2\/2 - 5*k. Is h(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*1*-1 - (sqrt(1584)*-1 - sqrt(1584) - sqrt(1584))*1)\/(sqrt(1936)*2*3).\nAnswer: sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2649434 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -11 + (-6 - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 4 (c) -2 (d) 90759\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9499840 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4071323?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*g = 144*g - 271 + 979 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (8\/(-196))\/(46\/(-1081)).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9157\/8 + 1148. Find the common denominator of (-2)\/7 + 297\/(-14) and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bad when three letters picked without replacement from {b: 1, d: 3, a: 5, m: 5, c: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 2. Let a be y(3). Let v(o) = o + a*o - 13*o. What is v(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33944 - 29466. Is 213 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-24))\/(2\/(-16))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.046 + -12.954. Let t = -30 - d. Let l = 17.06 + t. What is l rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.07, -2\/9, 3, -0.02?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3 + 581*u**2 - 137161*u - 137741 = 0. What is u?\nAnswer: -761, -1, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 18*s**2 - 428*s + 26. Give k(24).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(((n**(-1\/5)*n)\/n)\/n)))**(4\/21)\/(n**8\/n)**(-44) assuming n is positive.\nAnswer: n**(10772\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/39 and 49\/14315628?\nAnswer: 186103164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(sqrt(75) + sqrt(3) + 1 + sqrt(3) - (sqrt(3) - (sqrt(3)*-2 + -5))).\nAnswer: -25 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20021100222001 (base 3) to base 15\nAnswer: -45cb61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 221575 and 265890?\nAnswer: 1329450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s - 20 = 0. Suppose -s*n + 5*f = -2*n - 40, 0 = 5*n + 2*f - 108. Solve 0 = 5*v - 6 + 31, -4*v - n = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44491 = -11*i + 1489. What are the prime factors of i?\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 13, 8, 1, -8?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -237?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by 6236\nAnswer: 11\/1559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, l: 1, u: 5, f: 1}. What is prob of sequence su?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1771bd (base 16) to base 8.\nAnswer: -5670675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**2 + 103 + f**2 - 6*f**2 - 103. Let c(m) = m**2 - 439. What is n(c(t))?\nAnswer: t**4 - 878*t**2 + 192721","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 4*u + 0 - 7\/6*u**3 - u**2 - 1\/12*u**4. Give w(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3*z**3 - 4*z**3 - 10*z**3 + 2 - 15*z**3.\nAnswer: -26*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*c + 10 = 0, a - 5*c - 2 = -0*c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joy when three letters picked without replacement from {j: 3, e: 4, s: 1, y: 2, w: 2, o: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -120\/41 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23292 by 2588.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0700767 hours in days?\nAnswer: 0.0029198625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -605, 15\/13, 0.08, 4\/7?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97768 is divided by 7466.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115 or -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6106 and 15.\nAnswer: 91590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - j**2 + j - 40. Let w be f(0). Let b = -25 - w. Suppose 2*o - b = 7*o. Put -5, -2, o in ascending order.\nAnswer: -5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26250 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21335 - 20480. Calculate the remainder when g is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 529*c = -943*c + c + 13239 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 9963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -0.3 (c) -5 (d) 5.955\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 2*n - 72. Let g be j(7). Let z be (1932\/9 - 6) + (-8)\/g. Calculate the greatest common divisor of 26 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**2 - i**2 - 3*i**2)*(-i + 4*i + 0*i)*(-1 + 2 + 0).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1003 and 8744069.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*v, 22 = 4*y + 3*v + 5. Let l(f) = f**2 - 7*f - 1. Let w be l(7). Let h be (-1)\/(-1) + w + -1. Which is the nearest to h? (a) -3\/8 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 8*n**2 - n - 1. Let s be z(-6). Let l = s - 51. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620) - ((sqrt(1620) - (sqrt(1620) + 1)) + sqrt(1620)))**2 + sqrt(45) - ((sqrt(135)*-2 - sqrt(135))\/sqrt(3) + sqrt(45))**2.\nAnswer: -179 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from {i: 3, g: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -9*q + 2. Determine v(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + v + 1. Suppose 0 = -5*r - 2 + 12. Let i be (3 + 1)*-1*r. Let z = -6 - i. Determine s(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 3459610232777?\nAnswer: 3459610232777.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 25 - 95531*s - 11580*s.\nAnswer: -107111*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.51 (b) -4\/7 (c) 0.3 (d) 0.4 (e) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 + 0*f**3 - 68\/3*f + 16\/3*f**4 - 56\/3*f**2 + 4\/3*f**5.\nAnswer: 4*(f - 2)*(f + 1)**3*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -822, -736, -650, -564?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25305932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + -19. Let o = -452 - -472. Calculate the smallest common multiple of o and l.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from gjhyhjhyjs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((5*(sqrt(171) + -1 - sqrt(171))**2 - sqrt(171) - sqrt(171) - (1 + sqrt(171) + -3)) + -5) + -2.\nAnswer: -14 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + 1 + 11 + (-129 - -115).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3aa + -758d?\nAnswer: -7948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.965 to zero dps.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4208 by 4208.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/27*(350\/(-4))\/(-5)*6\/14.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 269 = 4*o, -328*o + 4*n - 215 = -331*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 7*z - 13. Calculate t(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 7 + -6 + -19 + 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3421816749990 and -5.9.\nAnswer: -3421816749995.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3250995822 divided by 3\nAnswer: -1083665274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34398381 - 80588381. Round r to the nearest one million.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -211, -733, -1761, -3463, -6007, -9561, -14293?\nAnswer: -20371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 1618 = -2*c, -3*x = -c + 598 + 216. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a century?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*r - 0 + 32, -2*z - 3*r = 20. Suppose 5*w = 13*w + 8. Let a(m) = 5*m - 6. Let x(s) = -s + 1. Give w*a(p) + z*x(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/5948 and 3\/43123.\nAnswer: 172492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**4\/4 - 418*b**3\/3 + 2715*b**2 + 5955. Find the second derivative of x(n) wrt n.\nAnswer: -6*n - 836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 642\nAnswer: -1926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -255.61 and -0.2.\nAnswer: 51.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**3 + 7*c**2 - c - 34. What are the prime factors of w(5)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10*m**2 - 66*m + 10. What is o(-7)?\nAnswer: 962","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:50 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/11 - 788186*o**2\/11 + 3152720*o\/11 - 3152712\/11 = 0. What is o?\nAnswer: 2, 394089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1843839*j**6 + 7036634*j**2.\nAnswer: -221260680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7179 - 7175. Let p(h) = -2*h**2 + 17*h - 58. Give p(y).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 1\/3 (b) -0.5 (c) -1\/8 (d) 36\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*d - 7*d**3 + 10*d)*(24 + 1 + 43)*(-3*d + 0*d + 2*d) - 1 + 1 - 2*d**4 to the form i*d + h*d**3 + f + c*d**4 + l*d**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14480663 is divided by 1152.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1811*-0.6.\nAnswer: 0.10866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(27)\/sqrt(9))*6 - (sqrt(3) + -1 + -4) - (sqrt(9)\/sqrt(3) + 0 - sqrt(9)\/sqrt(243)))**2.\nAnswer: 910*sqrt(3)\/9 + 8956\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 31931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 182036431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmjmjumjvmmr. Give prob of picking 1 m and 2 j.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3204 divided by -3204\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - 3.7. Suppose -25 = 5*n, -15 + 3 = -2*f + 4*n. Let h be (f*4\/(-16))\/(0 + -9). Sort 4\/5, h, l in descending order.\nAnswer: 4\/5, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202\/6 + (-17978)\/(-5073) + (-16)\/76?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9006, -0.06 in ascending order.\nAnswer: -0.06, 1, 9006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-234)\/(-30) + -7)*(-1)\/(-4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1476\/546 - 3) + (-2)\/(-13)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 346\/2189905 or 1?\nAnswer: 346\/2189905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/((-10)\/160*-44)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 616433 to the power of 1\/2, to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdvvdsvvvvvvvv. Give prob of sequence dd.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8884?\nAnswer: 2, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.994 * -0.4\nAnswer: -0.3976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99924, -199830, -299700, -399516, -499260, -598914, -698460, -797880?\nAnswer: -897156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 48*z**2 - 49*z + 111. Let p be w(-47). What is the tens digit of ((p\/(-4))\/(-1))\/(5\/20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4)*10)\/(55\/66). Let p = -10 + 13. Solve p*b - 5*b = -r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432767?\nAnswer: 3, 7, 68227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45087392 to the power of 1\/3, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6250.039t?\nAnswer: 6250039000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3569383 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1364375 and 13098?\nAnswer: 8186250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074932 to the power of 1\/2, to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*v**4 - v**3 + 2 - 1 - 5*v**2 + 4*v**2 + 87*v**4 in the form t*v + a*v**2 + o + q*v**4 + g*v**3 and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 2. Suppose -22 = t*f - 110. Calculate the remainder when f is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l + 5. Let p(u) = -3*u + 5. Let i be (0 - (4 + -2))\/((-44)\/(-88)). Calculate i*v(m) + 3*p(m).\nAnswer: 3*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**3 + 11*x**2 + 1316*x + 24. Let u(c) = c**3 - 4*c**2 - 438*c - 9. Determine -3*r(g) - 8*u(g).\nAnswer: g**3 - g**2 - 444*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 34*s = 246, 155 = -4*j - 2*s + 153 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*r**2 + 382*r**2 - 179*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g - 31. Let t(q) = 12*q - 33. Give -5*f(i) + 6*t(i).\nAnswer: 2*i - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -2.39, -5, 0.1, 5, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/13 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -57, 75, 173, 237?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24225339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/20, -4, 0.3 in increasing order.\nAnswer: -4, 3\/20, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 2. Let b be 7*10\/455 + (-111)\/(-39). Suppose -4*k = 9*k - b*k. Determine n(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*h + 16. Let a = h + 6. Let l = 11 + -6. Solve 3*b - 1 + 0 = l*g, -a = 2*g - 2*b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -4\/9*s**2 + 2\/3*s + 2\/27*s**3 - 1. Factor o(c).\nAnswer: 2*(c - 3)*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 3. Let p(h) = -3*h**w - 5*h**2 + 2 - 2*h + h**2 + 2*h**3 + 0*h**3. Give p(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -40, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 2*m + 12. Suppose b - z = -2, b - 2*b + 10 = 5*z. Let r be q(b). Solve -5*a = -a - r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8533 - -14258. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + -3 + -8 + 11 + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 2, -52, 0 in descending order.\nAnswer: 2, 0, -27, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (6 + -12 + 20 - 8 - -4) - -11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 196754 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {q: 8, r: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -77171038 and -7.\nAnswer: -77171045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (-12)\/(-3) - 0. Let m be (-13)\/((5\/h)\/5). Suppose 3*w = -3*b + 72, -5*w - 25 = -4*b + m. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1562311418 rounded to 3 dps?\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k = -11*k + 1240. Suppose 0 = -z - 395 + k. Round z to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*x - 7*y + 2*y, -4*x + 12 = 2*y. Suppose -4*j + 8*j + 5*b = 136, 168 = x*j - 3*b. Calculate the remainder when j is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 1. Let j be x(0). What is the remainder when -28*(j - -1 - 3) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 16*a - 12. Let h be p(1). Suppose -h*j + 327 = -m, -4*j - j + 3*m + 407 = 0. Let x = j + -77. Solve x*v - 8 = 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 8 = 3*w, 16 = 2*w - 6*w. Suppose 0*p = -h*p - 8. Sort p, -1, 0 in ascending order.\nAnswer: p, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51 or -984\/19?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f + 1. Let a(v) = -60*v - 8. Let w(y) = a(y) + 8*d(y). Let l(g) = -2*g - 38. Calculate w(l(n)).\nAnswer: 8*n + 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001031054719 rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1099\/585 + -2\/195. What is the common denominator of p and (-2)\/((-44)\/(-46)) + 3?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58272846 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637651 is divided by 2925.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 5*z**4 + 17*z**2 - 35. What is the second derivative of i(r) wrt r?\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7008.01ug in nanograms?\nAnswer: 7008010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m**3 + 12*m**3 - 4*m**3)*(3 - 2 - 3)*(6 - 3 + 2) - 10*m**3 + 2*m**3 - 2*m**3 as y*m**3 + v*m + f*m**2 + z and give y.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7261 and 20352?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/167 (b) -9 (c) -88357\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*w = -208*w. Suppose -m + 2*c + 511 = 130, 2*m + c - 737 = w. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 15 - 7. Is 156\/9*6\/x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-370)\/40 + (-1)\/(-4). Let g = -4 - n. Suppose g = p, -4*c - p + 9 = -208. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 1. Suppose -4*i = 20, -6*t + t = -4*i - 25. Let s be 1\/(((-1)\/m)\/t). Solve -n - s*n = 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372783619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2385 + 81083\/34. What is the common denominator of -63\/4 and z?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 724 + 165. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 17273.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjx when three letters picked without replacement from jxbj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -38.7. Let t = 39 + -272\/7. Which is the nearest to -2\/7? (a) t (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((0 + sqrt(288) + -4)*-2 - (-3*(sqrt(288) + sqrt(288)*-1 - sqrt(288)) + -5))**2 + -1.\nAnswer: -1560*sqrt(2) + 7363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85.719 - -0.219. Let k = r - -86. Which is the closest to k? (a) 5 (b) 2\/21 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 14, i: 5}. What is prob of picking 3 i?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16*(5 + (-8 - 18\/(-8))). What is the smallest value in -2, x, -1\/10, 1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/368)\/(55\/(-11))?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0604912 minus 4063?\nAnswer: -4061.9395088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-3\/4)))\/(o\/(o*(o*o\/((o**(-12\/11)*o)\/o)*o)\/o)) assuming o is positive.\nAnswer: o**(103\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -343468.8 to the nearest one thousand.\nAnswer: -343000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 50320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 - -3) + 3 + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.29 and 467.1004.\nAnswer: 467.3904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 10*d + 9. Calculate the remainder when 482 is divided by m(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*t - 4. Let r be ((8\/(-10))\/t)\/(7\/(-14)). Which is the second biggest value? (a) r (b) -4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*w + 9*w + 29717 = 0, 0 = -5*g - w + 29702. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfh when three letters picked without replacement from fhfhffhffffhh.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 4)*(-2*i - 7271 + 7271) in the form j*i + c and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23185*f**5 + 3156*f**4 - 2*f + 4957996?\nAnswer: 463700*f**3 + 37872*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffpffpfoffxofo. What is prob of picking 2 f, 1 o, and 1 p?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c**2 + 9*c - 6. Let k(h) = -20*h**2 - 26*h + 17. Let p = -86 + 19. Let s = p + 50. Let n(t) = s*u(t) - 6*k(t). Factor n(q).\nAnswer: q*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**5\/30 + o**4\/8 - o**3\/6 + 2*o**2. Let b = 16 + -8. Suppose -3*r - r = -b. Give p(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2767?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17679 = -484*n - 253*n - 97275 for n.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3\/(-12)*-2 - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 521*r**2 + 213 wrt r?\nAnswer: 1042*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.077 - -0.077. Which is the third biggest value? (a) 0 (b) m (c) 2\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 177*c - 165*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-477)\/(-189) - 2\/4*(-64)\/(-224).\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.5 - -2.5. Let q = -0.37 + -0.03. What is the closest to k in q, 1, 2\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -154 or -13\/5?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2 = -4*a. Suppose -a*v = -3*v + 52. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**1\/v)\/(v\/(v\/(v*(v*v**5*v)\/v))))**(15\/4))**(-1\/4) assuming v is positive.\nAnswer: v**(105\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (-1 - -3 - 3). Let i = 5 - a. Suppose -i*b + 32 = -5*n - 7, 5*b + 2*n = 24. Solve 4*q + 3*s - 11 = 0, -b*q + 11 = -q + s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**3*g**5 - 14*b**3*g**3 - 7*b**3*g**2 - 2*b**2*g**2 - 14*g**2 wrt g.\nAnswer: 120*b**3*g**2 - 84*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r + 3*r**4)*(-r - 2*r + r) + r**5 - r**5 - 14*r**5.\nAnswer: -20*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 328 = -3*d, 0*d + d - 3*v - 96 = 0. Let o = d - 185. Let n be o + -1 + 0 + 0. What is n rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*w - 123*w - 480. Solve -5*i - w = 15*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 - 3*r + 2*r**2 + 11 + 6*r**2 - 3*r**2 - r**3. Suppose -154*u + 14 = -152*u. List the prime factors of o(u).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17 + 623*z - 20 - 86*z**5 + 3 + 23*z**5 wrt z.\nAnswer: -1260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b - 84 = -29*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36129 - 36123. Solve 2*l - 18 = 3*i, 4*i = v*l - 5*l - 19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 644*v + 4. Let l(s) = 37*s + 2. Calculate l(h(b)).\nAnswer: 23828*b + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -15*d**4\/4 - 2*d**3\/3 - 5*d**2\/2 - 4*d + 7430. Determine q(-2).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 t, and 1 r when three letters picked without replacement from wwswdwrrt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 5*k + 4. What is d(6)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/18 and ((-447)\/171 - -2) + 23\/(-138)?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001 - -2200?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -34725, 4, -4, 8 in ascending order.\nAnswer: -34725, -4, -3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(0 + 3\/(-5)). Suppose -15 = -c*d + 3*s + 18, -3*s - 21 = -d. Calculate the remainder when 0 - 9*d\/(-9) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 5 = -3*j + 3*x, -5*j + 20 = x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -280 - -280.1. Sort -7, 0.3, s, -0.9 in descending order.\nAnswer: 0.3, s, -0.9, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9996 and 924?\nAnswer: 109956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from vddqdddvvrnvnddfv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 21 = 5*u, -i = 5*u + 4*i - 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2. Let a(u) = -2*u**2 - 8*u - 3636. Give a(d(k)).\nAnswer: -2*k**4 - 8*k**2 - 3636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79553085 by -15910617.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 1. Let u = -26 - -29. Let s be d(u). Suppose -6*x + 21 = -s*x + 3*o, 2*o - 15 = -3*x. Solve 3*z - 2*g = 1, 6*z - z - x*g = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 - 82*o + 540. Calculate u(-40).\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-8.1\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 94228 to the nearest 100.\nAnswer: 94200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 72, 8, -14.\nAnswer: -14, -1, 8, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*j - 83 = 0, -5*j + 13 = 142*g - 141*g. Solve 47*z = 36*z + g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -36*d + 27*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35817 divided by 11939.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*v - 2*v. Let z be 4\/v - 2\/9. What is the remainder when 26 is divided by z - 2 - 0 - -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794669071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 + 2*v**2 - 2*v + 6. Let q be y(2). Solve 5*h + q - 6 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 50. Calculate the remainder when 47 is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31643228 is divided by 269?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -212, -927, -2096, -3713, -5772?\n\"Answer: v**3 - 233*v**2 - 23*v + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -495 + 887. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 880\/(-30)*(-6)\/4. What is the highest common factor of 22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 904357\/14380212 - -15\/15563. Find the common denominator of b and -55\/14.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 4*y**2 + 4*y - 1046. Calculate n(0).\nAnswer: -1046","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssssssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2899357 and 9361.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42340\/73 + (-1 - -4) is divided by 74.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1125791*o**4 + 2*o**2 + 89*o + 1460 wrt o?\nAnswer: 27018984*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w - 3. Let m(s) = 93*s - 50*s - 42*s. Give d(b) + 6*m(b).\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5651630 (base 7) to base 6.\nAnswer: 23012502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*b - 0*b + 22, 32 = 5*b - a. Solve 0 = -b*p + 2*p - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ddhhdhdhddhhdw?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 141 in -2, 0, -0.287, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 12) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 - f + 179. Suppose 0 = 2*r - 4*r - i, -4*i = 5*r. Let b be l(r). Suppose -45 = -4*p + b. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muuuuttmtmutttuumt. What is prob of sequence mu?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12210 - -3?\nAnswer: -12205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2. Suppose -7*z - 7 = 4*q, 0 = 4*q - 9*z + 4*z - 5. Sort -2, t, 1, q.\nAnswer: -2, q, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 0*p + 2*p + 1579 - 1579.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 33314 (base 5) to base 7\nAnswer: 6543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1179\/5135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 183 = j - 5*j, 5 = 5*m. Calculate the highest common factor of j and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 27226?\nAnswer: 81678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 774*c - 775*c + 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*y - 25 - 4*y + 26)*((0 - 2 + 1)*(2 + 0 + 0) + 3 - 5 + 3)*(-2 + 5 - 4 + 4 - 2 + 0 + (-2 + 5 - 2)*(1 + 3 - 2) + 6 - 4 + 0 - 2 + 4 - 8).\nAnswer: -19*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 - 76. Calculate the least common multiple of b and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0.063, 2, -5\/9, -4?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18037 - 18048. What is the third smallest value in -5, 4, -2\/13, u?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -105815, -105814, -105813?\n\"Answer: d - 105816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**3 - 5*a**2 - 4*a**3 + 5*a**2 + 14 to b + n*a + v*a**2 + t*a**3 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2490, 1\/4, 0.7, 5, 2\/15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7739987 rounded to 1 dp?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2*t - 1 - 87*t**2 - 3015*t**2.\nAnswer: -3102*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 4*u**3 - 4*u**2 + 218*u - 17. What is the derivative of b(f) wrt f?\nAnswer: 24*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 3396.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 + 21 = 4*r. What is the remainder when r is divided by (-63)\/(-6) - 36\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1354803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - 7*o + 7*o)*(-3*o**2 - 2*o**2 + 3*o**2) - 2600 + 4*o + 1302 + 1307 - 2*o**3 + 3*o - 3*o - 2 + o**3.\nAnswer: -15*o**3 + 4*o + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6891143 and 15248?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 592 a factor of 1222027475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*d - 56*d + 21*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/97290 and 13\/1840?\nAnswer: 778320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + q**2 - q**2 + 18*q**3.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4841188370 - 2?\nAnswer: -4841188372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1100336 centuries in months?\nAnswer: 132.04032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -11, 3, -18 in descending order.\nAnswer: 21, 3, -11, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 0 + (-898)\/(-302). Let f = 10423656645\/1661 - 6275531. Let d = f - k. What is the biggest value in d, -0.2, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 - m - 2. Let v be u(2). Let s = 69 + -179. Let t = v - s. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -154078, 4, -0.4, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74283 is divided by 93.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/4 + (3 - -5096) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b740 (base 15) to base 14\nAnswer: -24809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 4:24 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 2*s - 4*s + (-3 + 0 + 1)*(-2*s - 2 + 2) + 0*s + 4*s + 3*s + s - 16*s - 18*s to f + g*s and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27040 > 621944\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*i + 44. Let a(p) = 21*p + 2. What is the units digit of a(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*u - 3*m = 316*u + 2*m + 65, -52*u = -3*m + 505 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zff when three letters picked without replacement from zfzgzfffgggfff?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(3) + -2)*5 + sqrt(3))**2.\nAnswer: -120*sqrt(3) + 213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(125) + -1 - sqrt(125)) + -4 - sqrt(125))*2*4 - (4 + (-1 + sqrt(125))*2*-5)))**2.\nAnswer: -27000*sqrt(5) + 85400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9272 is divided by 47.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-68)*44556\/3713.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 26520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 42 = -7*z. Suppose z*l - 3948 = -477. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3525 take away -0.036?\nAnswer: 3525.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -19*o + 509. Let g = 40 + -31. What is the remainder when a(26) is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 644 + 493 = f, -5*f + 857 = 3*p. Calculate the remainder when p is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -113 - 0?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15262 + 3?\nAnswer: -15256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -31*n - 708. Let s be r(-23). Let g(b) = 28*b - 2. Let p be g(2). Suppose 0 = -s*f + p - 19. Solve -f*i + 3*i - 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4675 - -616. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -4, 5, -29670, 7 in decreasing order.\nAnswer: 7, 5, 4, 0, -4, -29670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -1679?\nAnswer: -503.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 30*o + 144.\nAnswer: (o + 6)*(o + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 1064*k - 3207. Let p be b(3). What is the nearest to p in -5, 0, -0.5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7376 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2 - 3*d**3 + 6*d**3 - 2*d**2 + d**2 wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 0 + -2)\/1. Let a(o) = 3*o**3 - o**2 + o + 2. Let l be a(-2). Let b = 142\/5 + l. Which is greater: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/972 and -121\/486.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10.2 (b) -1\/4 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 4*w + 4. Let r be h(-4). Suppose -4*o - 29 = r*p - 77, 0 = 2*p - 5*o - 3. Calculate the remainder when p is divided by 2\/2 + 1 - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 10. Suppose -3*c = n*c - 40. Let w(t) = 10*t + 2. Calculate the remainder when w(2) is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -48. Calculate the greatest common factor of 126 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2949449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 7 - -1) + (4716 - 4659).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -98*k**3 - 61526*k**2 - 957057662?\nAnswer: -294*k**2 - 123052*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1967595.\nAnswer: 3, 5, 7, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 11:58 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130 divided by 5?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8\/57 + 461\/1254. Let y be 4\/6 - 49642\/(-66). Let i = y - 1505\/2. Find the common denominator of k and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -557463 or -557512?\nAnswer: -557512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, t: 3}. Give prob of sequence tt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 477945987 to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 5, 0.2, 0.3 in increasing order.\nAnswer: 0.2, 0.3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3074445 and 3465?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.13, 1\/3, 2, -0.1, 1\/145?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3666 (base 11) in base 7?\nAnswer: 16653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 467935 minus 29359.4?\nAnswer: 438575.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -85.856 times -825\nAnswer: 70831.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3005672517 - 673.\nAnswer: -3005673190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 6. Let x = b + 1. What is the closest to -0.1 in -2\/3, x, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23 and -620.\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2779230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.269 times -1087\nAnswer: -292.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by 15.\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28 + -34 - -84*2. Let c = -1 + n. What is the highest common factor of 46 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + 1 + 1 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104382 is divided by 4744.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 1 = -47. Suppose 3*c - 7 = 101. Let x = 96 + c. Calculate the highest common divisor of t and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1 (b) -2\/311 (c) 84 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4800212806 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n + 30. Let h be w(-6). Let l(q) = -29*q + 32. Let t be l(h). Let s = t + -29. List the prime factors of s.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*l + 6*l + 12, -j - 8 = -5*l. Let d(r) = 65714*r + 2. Let y be d(j). Round y to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -2*k**3\/3 + 9. Let n(m) be the third derivative of -m**4\/12 - 2*m**2. Give n(q(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 689 or 676?\nAnswer: 676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 510, 2800, 8168, 17886, 33226, 55460, 85860?\n\"Answer: 212*u**3 + 267*u**2 + 5*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 595, 2391, 5385, 9577, 14967?\nAnswer: 21555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 472962518 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -28*f**2. Let y(s) = 13*s**2. Calculate g(y(b)).\nAnswer: -4732*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 0.2467\nAnswer: 0.012335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 12 = 5*n - 8, 4*r + n - 10 = 0. Suppose 4*w - 3*m + 10 = 0, w + 10 = -2*m + r. What is the remainder when 3\/(-12) + (-245)\/w is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-2)\/(-1 + 7)). Suppose h*x - 3*l + 19 = 4*x, 2*l - 8 = 0. Calculate the remainder when 27 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 20*a**2 - 32*a + 641. Let w be c(20). Let f(d) = d + 1. Let m(i) = 2*i**2 + 5*i + 2. Calculate w*m(x) - 6*f(x).\nAnswer: 2*x**2 - x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 0*r + 2*r + 5 - 9*r. Let h(p) = 754*p**2 + 3764*p - 35. Let a be h(-5). Give d(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 625323.5 rounded to the nearest one thousand?\nAnswer: 625000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474009 is divided by 873.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(60)\/sqrt(108) + (-2*sqrt(45) - sqrt(45)))**2.\nAnswer: 260*sqrt(5)\/3 + 3605\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -25) + 21 + 1 + -31.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 5*u**2 + 2. Suppose 20*y = 15*y - q + 29, 6*y = -5*q + 50. What is v(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21092893*w**4 - 11*w**3 + 28730*w + 8569.\nAnswer: 253114716*w**2 - 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15247b8 (base 13) to base 2.\nAnswer: -11001110000000100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14586 - 13297. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 103, 250, 457, 724, 1051, 1438?\nAnswer: 1885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*w - 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209664 = 68*a + 76*a. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -198707*y + 865*y**2 + 198707*y + 4*y**3 to the form s*y**2 + q*y + i*y**3 + b and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2699 - -15813. List the prime factors of j.\nAnswer: 2, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3448 + -3447.5. Put -2\/5, t, 3\/257 in descending order.\nAnswer: t, 3\/257, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 9. Solve m*r - 4 = -4*y, 0 = -4*y - y - r + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 399*n - 405*n = 0. Solve 3*c - 4*j - 5 = n, 5 = -5*c + 3*j + j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 423963*s**3 - 161*s**2 + 711*s.\nAnswer: 2543778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4806 times 0.4?\nAnswer: -1922.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 7:35 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 24089 - 24084 = -h, 7*a + 4*h - 25 = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**3\/6 + 13*f. Let y(b) = 19*b**2. Give y(n(c)).\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2646, -4 in descending order.\nAnswer: -3, -4, -2646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(171))\/((sqrt(90) + 2*sqrt(90))\/sqrt(10)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5735, 22989, 51743, 91997?\n\"Answer: 5750*l**2 + 4*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5*p - 29 = -78, 0 = 19*t + 8*p - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, -201, 5 in increasing order.\nAnswer: -201, -3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -128 + 140. Suppose v = 2*y - i, 0 = -3*y + 2*y + 4*v + 6. Differentiate 641*t - 10*t**3 + y - 641*t wrt t.\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -34, -83, -154, -253, -386, -559, -778, -1049?\n\"Answer: -x**3 - 5*x**2 - 27*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23895719 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 2 - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 12:38 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21172429611 + 21172429502.34256049. Let a = 0.34242649 - r. Let o = a - 109. Round o to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -59128*v + 56. Let y be t(-23). What is y rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -204 + 474. Suppose -5*c + 145 = -64*i + 62*i, 2*i + 91 = 3*c. What is the highest common factor of o and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5285115 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2. Let j(m) = 4*m**3 + 42*m**2 + 96*m - 14. Let f be j(-7). Is l at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 - -97. Let p be 87\/((6 + -4)*z\/2). Let i = -94 - p. Let q(n) = n**3 + 7*n**2 - 2*n - 1. Give q(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1010748 and -5\/926519.\nAnswer: 11118228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 2*y. Suppose 3*t = -2*w - 2*w + 201, y = -4*t + 12. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 - 18*v**2 - 29*v - 51. Calculate o(-7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/(-102)*(-3)\/(-10)*56\/910.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -979, -4139, -9379, -16705, -26123?\n\"Answer: -r**3 - 1034*r**2 - 51*r + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147889?\nAnswer: 7, 37, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 divided by -478?\nAnswer: 83\/478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1011 - 1591. What is h rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s*s*s*s*s**(-21))\/s)*s**(-5) assuming s is positive.\nAnswer: s**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 555\/(-10) + (12 - 17)*(-5)\/(-10)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15*2\/(-5) - 128\/(-21)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90 + 360. Suppose -19*w + b = -17*w. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3017114 and 9140?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 11:15 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 greater than -2\/481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19648, 77918, 175028, 310978, 485768, 699398?\nAnswer: 951868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45417052?\nAnswer: 2, 509, 22307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6138 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 2:54 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 70210342 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -553.646701 to two decimal places.\nAnswer: -553.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.06, -0.1, -8\/3, 60, 0.02?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/3009 (b) 1 (c) 1160 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2 - q**3 + 0 + 5*q - 4 + 4*q**2 + 0*q. Let v = -7 + 11. Is 14 a factor of p(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.26 - 4.74. Suppose -5*v + 4*v = -3. What is the third smallest value in -1\/4, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -46\/811, 0.5, -3, 27?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.822 - 0.148. Let v = 2.6 - -3.3. Let s = h + v. What is s rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 + a**2 - 3*a**2 + (0*a - a + 2*a)*(-123*a + 32 - 32) - 5*a**2 + a**2 + 6*a**2 + 2 - 2 + a**2.\nAnswer: -119*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12210 and 29970?\nAnswer: 329670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 - -63. Let p(d) = d**3 + 11*d**2 + 3. Let u(w) = -4*w**3 - 56*w**2 - 16. Let k(g) = l*p(g) - 3*u(g). Factor k(y).\nAnswer: -4*y**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10939.99983688 - 10940. Round h to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4\/5 (b) -16\/5 (c) -24 (d) -1.5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*c + 105 + 65 = 20*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 236\/3 - 155\/2. Let z(w) be the second derivative of -1\/10*w**5 + 0*w**2 + 0*w**4 + 0 + 7*w + y*w**3. What is the second derivative of z(c) wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3523 = 120*w - 13767 + 3784 + 5020 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:35 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, e: 2, y: 1, n: 1}. What is prob of sequence ey?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3460188 is divided by 692028.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1128882707 and -412.1.\nAnswer: 1128882294.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + 11*k**2 - 3*k - 6. What is f(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2300062213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -5315888154?\nAnswer: 5315888152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37749603 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (51 - 47) + 3 + 89. Solve 0 = 4*z - 28*z - f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from {j: 1, f: 2, s: 2, z: 1, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94067*t + 3*t**2 + 6 + 1 + 94452*t to the form x + s*t + i*t**2 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 504 + -506. Let y = -23 + 27. Sort y, g, -1\/11 in decreasing order.\nAnswer: y, -1\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70402 is divided by 757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2543 is divided by 134?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2)\/((-183)\/488). Solve -3*o + 1 = -u*f, 3 = 4*o - f - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -33*a**2 - 1576*a + 30. Determine j(-48).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6019 times 97?\nAnswer: -583843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 1 + 11 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.5243447 to zero dps.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 1) + 1 + 4. Suppose 0*j + 5268 = 2*o - 4*j, 2*j = -u*o + 13158. Let r = -31627\/12 + o. What is the common denominator of 47\/10 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2616)\/(-48))\/((-3)\/6). Let j = h - -133. What is the least common multiple of 12 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 5*r**2 - 5*r - 1. Let b be q(3). Let 2\/3*k**3 - 2\/3*k + 0 + 0*k**b = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/36)\/(20\/12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47739526?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. Let o = -230 + 226. What is the closest to y in o, 1\/4, -1\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 8*k + 286 = 9*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5266204 divided by 82\nAnswer: 64222","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 2035631 equal to 2035630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/7 - 1758478*d**2\/7 + 386529730320*d\/7 + 386531488800\/7.\nAnswer: 2*(d - 439620)**2*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 0*m**2 + 0*m**2 + 2*m**2. Let u be -7 + 1 - (-1 + 1). Let p(x) = 5*x**2. Let i(v) = u*p(v) + 14*b(v). Suppose i(a) = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 - 26. Let i be (-5)\/((-15)\/c) - (-1 + 4). What is the second derivative of 8*n**i + 4*n**4 + 0*n**4 - 6*n wrt n?\nAnswer: 144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -3, 5, -24485, 2 in descending order.\nAnswer: 5, 2, 1, -3, -5, -24485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 16 + 0*w + w - w + w. Does 5 divide v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*s + 148 = -34 - 98 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.6 - -8.6. Let h = w - 12. Which is the nearest to 0? (a) -0.5 (b) -0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 515*h**2 - 1111*h**2 - 1184*h**2 to o + y*h + j*h**2 and give j.\nAnswer: -1780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 227461 and 533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -678, -691, -716, -765, -850?\n\"Answer: -2*k**3 + 6*k**2 - 17*k - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5240771796?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*i + 4*b + 7, 0 = 5*i + 2*b - 12. Suppose 14 = -0*l + i*l. Let s = l + 13. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - ((-36 - (-59 + 46)) + 32)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) -10 (c) 158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 9*q**3 - 20185*q**2 + 15692*q + 4484 = 0.\nAnswer: -2\/9, 1, 2242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -194 + 225. Solve 0*h + 12 = -2*u - 4*h, -4*u = -3*h - p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -28\/19*q**4 - 352\/19*q - 146\/19*q**3 - 128\/19 - 2\/19*q**5 - 344\/19*q**2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00270726941 rounded to five dps?\nAnswer: -0.00271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-8 - (-12 - -9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 45be (base 15) to base 4\nAnswer: 3213110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -3 - 11 - -7 - (8 + -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 48*y + 1124. Let j be z(-20). What is the highest common factor of j and 2993?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfippgf. What is prob of picking 2 f and 1 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(-4*(-8)\/(-128))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.4. Let a = -0.2 - r. Let n = -51\/65 - 1\/65. What is the closest to a in n, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32311101220 + 1?\nAnswer: 32311101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.15 - -13.15. Let s(i) = -i**2 - 29*i + 28. Let y be s(-30). Which is the second biggest value? (a) 1\/2 (b) h (c) -4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1, -0.1, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-8))\/(45\/(-30) - -4 - 3)*9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -41*f - 1791. Determine z(-44).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 7:45 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-11808)\/171) + ((-28)\/(-399))\/(12\/(-9)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = 3*u + 2*r, 4*u = -2*r - 14 - 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 5747534.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.46 and -0.22?\nAnswer: -4.2812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 31*m**7\/1260 - 7*m**4\/12 + 3*m**2\/2 - 12*m. Let i(z) be the third derivative of x(z). Let o(g) = 3*g. Give i(o(y)).\nAnswer: 558*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 9)*(-2*y + 0 + 0) - 3*y + 3*y - 2*y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(2842\/112)*(-3)\/10*1764\/189?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-2\/3)\/w)**(2\/23) assuming w is positive.\nAnswer: w**(2\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61490 and 1950.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-11)*26367\/88689?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*f + 45, -f - 4*z + 18 = f. Let q(b) = 24*b**2 + b - 44. Let h be q(6). Let l = 835 - h. Calculate the greatest common divisor of f and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -244 + 248. Calculate the highest common divisor of i and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3322 + -3329. Let n(l) = -l**3 - 5*l**2 + 14*l + 3. Determine n(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5860?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 19*d**2 + d + 1. Let r be x(1). Suppose -6*w = -9 - r. Suppose -a + 7 = w*b - 9, 5*a + 1 = 2*b. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -15*p + 0*p**3 + 0 + 0*p**4 + 0*p**2 - 1\/30*p**5 - 2\/9*p**6 - 25\/63*p**7. Determine r so that k(r) = 0.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 11.4. Let n = i + -0.6. Sort 3, n, -1\/7 in decreasing order.\nAnswer: 3, -1\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 0)*(-894*q + 894*q - 778*q**2).\nAnswer: 4668*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/((-5)\/(-257)) - 4. Suppose 3865 = 5*g - 3*u, 0 = 4*g - u - z - 2839. List the prime factors of g.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**3 + a**2 - 7*a - 6. Let k(p) be the second derivative of p**4\/12 - p**3\/6 - p**2\/2 + 3953*p. Give 5*k(h) - q(h).\nAnswer: 2*h**3 + 4*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 4 = -5*f. Suppose 5*h - 25 = 0, -4*o = -0*o + f*h - 23. Find the second derivative of -y + 2*y**o + 2*y + y wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times -2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27252 - -128?\nAnswer: 27380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33\/(-6) - ((-3)\/2 - -1). Suppose 2*u + 2*k - 9 = -u, u + 4*k + 7 = 0. Sort p, -11, u.\nAnswer: -11, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n = 11*n - 6*n - 29*n. Solve n = 454*r - 453*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3020466 by -1.\nAnswer: -3020466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llxllxlalxxxlxxlxi. What is prob of picking 1 x and 1 l?\nAnswer: 64\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(110)*4)\/(sqrt(1440) - -4*sqrt(1440)) + 4)*6.\nAnswer: 2*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 6 + 9)*(-8 + 9 - 2)*(2*p + 4*p - 5*p)*(-2 + 4 + 1).\nAnswer: -51*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 28. Let f be (t + -2)\/((-14)\/(-28)). Let p = 0.04 - -0.02. What is the closest to p in -1\/7, f, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -215*k**5 + k**2 + 278*k wrt k.\nAnswer: -4300*k**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**3 - 5*x**2 - x - 2. Suppose 4*i - d = -15, -i + 6*i + 18 = 2*d. Let v be s(i). Find the common denominator of 149\/30 and (-10)\/(-4)*v\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (5 + 22 - 16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p - 10, 3*s - 24 = 3*p. Suppose s*a - 100 = -a. Solve 0 = 5*w - 0*w + a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232959 take away -2?\nAnswer: -232957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 + 9*x - 9. Let c(o) = o**2 + 2*o - 2. Let d(l) = 18*c(l) - 4*y(l). Let f(h) be the second derivative of 2*h**4\/3 - 11*h. Determine f(d(u)).\nAnswer: 32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-27)*(-56)\/(11648\/156)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4762914*c. Let f(s) = 3*s**2. Calculate k(f(u)).\nAnswer: -14288742*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -355 - -363. Solve x - 19 = 11*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**2 - 2*z + 9. Let r be f(-7). Let a = -203 - r. Let c = 24 + a. Is -54 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.1 + 3.1649. Round t to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/397 + 780\/2779. Is p <= -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 30\/407147 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 211081921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2*h + g**2*l - 7*g**2 - g*h*l**2 - 45*g*l + 2*g + 4*h*l**2 + 31 with respect to l.\nAnswer: g**2 - 2*g*h*l - 45*g + 8*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvtvviivkivviviiiii. What is prob of picking 1 k and 1 i?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**9\/12096 + r**8\/3840 - r**7\/5040 - r**4\/4 + 2*r. Let q(o) be the third derivative of n(o). Factor q(s).\nAnswer: -s**2*(s - 1)*(5*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytbo when four letters picked without replacement from bbyyovbyyvbbyytu?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2206 by -91.\nAnswer: 2206\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 6*c**2 + 9*c - 7. Let k be a(7). What are the prime factors of k\/(4 - (0 - -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**4 - 2*t + 4*t**2 - 3*t + t**3 + 4*t - 4*t**4 + 2 to the form w*t + p*t**2 + c + f*t**3 + o*t**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 357*s**5\/5 - 3079*s**2\/2 - 672*s. What is the first derivative of x(d) wrt d?\nAnswer: 4284*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s + 31 - 101. Solve 2*k - 2*g + 8 = 0, 0 = -5*k + s*k - 3*g + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 42 - (-2326 + 2343)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -132600.3241 to the nearest ten.\nAnswer: -132600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134 - 64. Let v be 8210\/q - (-4)\/(-14). Suppose v + 469 = 2*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 6, -4*n - 5 = 3*m - 19. Suppose 0*b = n*b + 12. Calculate the common denominator of 76\/(-72) + (-4)\/b and -55\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -0.4 (b) 1000294 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1443830*x. Let s(c) = -15*c**2. Give m(s(t)).\nAnswer: -21657450*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13254 + 4*k**2 + 13254.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h - 2 - 1\/2*h**2.\nAnswer: -(h + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39 times 2497.1?\nAnswer: -973.869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145439 is divided by 13209?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 18. Let q(h) be the second derivative of h + 0*h**2 + 1\/6*h**3 - 1\/20*h**5 + 0 + k*h**4. Find the second derivative of q(s) wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.329957 millennia to years.\nAnswer: 5329.957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -632*c + 2383. What is the remainder when j(-5) is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/39*(-416)\/128*24\/36?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 13*q**2 + 11524*q + 103413. Determine t(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6 = 0, -3*k = -5*f - 0*f + 24. Let p = 38 + f. Suppose 7*v - 4*m = 2*v + 90, 3*v = 5*m + p. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: 15 + -20 + 44\/10\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-8)\/(-154)) + (-18)\/(-12). Let v be 6\/4*w\/12. Suppose 52 = 5*b - 23. Solve 2*m - 2*r + 6 = -7*r, v*m - 4*r + b = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**4 + 0*d**4 + 2*d**4)*(-51979 + 51979 - 7686*d).\nAnswer: -15372*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/12 and 93\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160 + -145. Let h(a) = a**2 - 13*a - 21. Calculate the least common multiple of 21 and h(u).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 537 and 21?\nAnswer: 3759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4*-527.73\nAnswer: 2110.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*s**3 - 183*s**3 - 195*s**3 + 583*s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.995 and -0.8.\nAnswer: -5.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 1460.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**5 + 440*u**4 - 1648*u**3 - 5344*u**2 + 27392*u - 27136 = 0?\nAnswer: -4, 2, 4, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.9844 - 38.\nAnswer: -46.9844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 378319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3032 (base 10) to base 7\nAnswer: -11561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 45*c + 78.\nAnswer: 3*(c - 13)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykly when four letters picked without replacement from klyaalykyyyakyaayyk?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, c: 5, g: 1, i: 1, z: 3, n: 1}. What is prob of picking 1 i and 1 s?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(36)\/sqrt(4)*3) + 3 + (-1 + sqrt(272))**2)*-6.\nAnswer: -1656 + 46*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -6 - 3. Let d = 27 - 29. Sort 3, p, d.\nAnswer: p, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39? (a) 4.3 (b) -5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 511 (base 11) to base 9\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 5*k**2 + 5*k - 1. Let u be s(4). Let q be (-2)\/((12 - u)\/3). Let z = 29\/105 + -10\/21. Which is the nearest to -0.1? (a) 1 (b) q (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11718*-1.\nAnswer: 11718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.09 + -0.09. Let k = 19786 + -19786. What is the nearest to d in 1\/7, k, -5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 5, 20, 37, 50, 53, 40, 5?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/983 (b) 21 (c) 18 (d) 2 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1542371?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0542954l to millilitres.\nAnswer: 54.2954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 8 = -s, -t + 2*t = s - 7. Let 2*c + 180 - 3*c**s - 62*c + 8*c**2 = 0. Calculate c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4281.60134 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, 63, 457, 1311, 2799, 5095, 8373, 12807?\nAnswer: 18571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -48, -4, 1\/4, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 70*u**2 - 93*u**2 - 185*u**2.\nAnswer: -208*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**8\/84 + 2*r**7\/35 - r**6\/3 + 2*r**5\/15 + 3*r**4\/2 - 10*r**3\/3 + 5*r**2 + 43. Factor w(b).\nAnswer: 4*(b - 1)**3*(b + 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -12. Let v(z) be the second derivative of 1\/4*z**2 + 1\/24*z**q + 1\/6*z**3 + 2*z + 0. Factor v(l).\nAnswer: (l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 1720900 + 1159164. Let n be d\/(-20) + (-12)\/15. Suppose -3*t + 2*t = -n. What is t rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.13, 3\/2, -14, 3, -117.7 in decreasing order.\nAnswer: 3, 3\/2, 0.13, -2, -14, -117.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-6))\/i)\/((i*i\/(i\/(i**4\/i*i)*i)*i)\/i)*(i**6)**(-9\/4))**(-12) assuming i is positive.\nAnswer: i**282","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3283\/712 - -68\/89. Let a be -2*(-4)\/(-16)*-3698. Let z = a + -7333\/4. What is the common denominator of y and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-21)\/(-441))\/(2\/(-24)*-1). Let x = 0 + -2. Which is the second biggest value? (a) x (b) 1 (c) j (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196801828 to the power of 1\/3, to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(6\/4) - 11\/(-5). Sort -0.06, -2, -0.5, b in increasing order.\nAnswer: -2, -0.5, -0.06, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -639.778 + 623.9. Round l to 1 dp.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3*r - 2 = -5, -19 = 3*t - r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 + 17*x**2 - 9*x**2 - 2*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000022693 rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12171143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 177134 and 8184?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.219 - -0.011. Let w = -0.266 + d. What is w rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 + -32. Let s = 27 - j. Calculate the remainder when ((-6)\/4)\/(s\/(-596)) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 - 6*6\/(-9). Let q be u\/(2\/4*0 - 2). Suppose -2*x + x - 2*p = 3, 5*x = q*p + 37. Solve -3*g + 3 + 12 = 2*c, 5*c - g + x = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 18 = -3*s, 99 = 4*s + 3*b + 89 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-4))\/(-5)*-20. Suppose 3 = -v*m + 4*m. Let n = 81 + m. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -28*d - 27*d + 14 - 19. Is t(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 + 1200579*p**2 + 2401167*p + 1200585 = 0. What is p?\nAnswer: -1, 400195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 12239364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36028925 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11452 - 6*o - 47532 - 3*o - 2*o.\nAnswer: -11*o - 58984","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 69*c**2 - 259*c + 2574. Give y(-73).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1598\/(-47) + -12 + 46. Suppose 11 + 69 = 5*l. Solve n = -5*c + c - l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 61 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6438 and 27?\nAnswer: 57942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 16*b + 772 = 34*o, -2*b + 190 = 3*o. What is the smallest common multiple of ((-24)\/10)\/(3\/(-20)) and b?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 14*o**2 - 379*o - 1236. Let v be l(30). Let f(x) = x + 1. Let r(y) = -3. Let m(z) = f(z) + r(z). Determine m(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 954 - 970. Let d(k) = k**2 + 19*k + 48. Calculate d(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 25\/2 + (-4)\/8. Let l be 0 - 6*42\/4. Let d = -39 - l. Calculate the greatest common divisor of d and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -143*s**3*y**4 - 379*s**3*y + 3*s**3 + 5*s*y - 13*y**5 wrt y.\nAnswer: -1716*s**3*y**2 - 260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0*m - m)*(m**3 - m**3 - 2*m**3) + (2751*m**2 + 6386*m**2 - 2893*m**2)*(-m + 2*m**2 + m) + (-4*m**2 + 4*m**2 + 2*m**3)*(2*m - 6*m + 2*m).\nAnswer: 12488*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 64532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f - 11*f + 36*f)*(f - 4*f + f).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0 + 0*l**3 + 1\/15*l**6 + 1\/42*l**7 + 1\/20*l**5 - l + 0*l**4 + 0*l**2. Let c(z) = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 99, -58, -287, -594, -985, -1466, -2043?\nAnswer: -2722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5 = -p, -3*p - 3*a + 6 = p. Suppose 3*l - 16 = -l, -p*l - 2296 = -f. Suppose 7744 = 4*w + 5*q, -q + 381 - f = -w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1731?\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/6 and -29\/6119352.\nAnswer: 6119352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 462683781 to the power of 1\/3, to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11319 and 759?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 2*f + 1, 565*f - 570*f - 3*w - 2 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182 by -7.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/418 + 34\/38?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 2100?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5}. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**5\/2 + 3*p**4 - 9*p**3\/2 - 2*p**2 + 6*p = 0?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -12, -54, -148, -312?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 361*p**2 - 36*p + 6. Give v(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0 - 0) + -2 + 2)*(112 + -111). Which is bigger: 1\/372 or g?\nAnswer: 1\/372","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8025 is divided by 68.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 5, 481 in descending order.\nAnswer: 481, 5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 273115*f**2 + 13*f + 8016560?\nAnswer: 546230*f + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -6. What is the greatest common divisor of q and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (10 + (12 - (4 - -6)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 327185434 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1688 = -j + 533, 2*j - 1170 = -5*x. Suppose 0*y = 5*y - 20, -5*y = 4*d - x. Let c = 57 - d. Solve c = 3*p - 0*p - a, 4*a - 20 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 7*s**2 - 5*s - 3. Determine d(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 28. Suppose -4*f + 7936 = 4*a, 0 = -2*a - 2*a - g*f + 7938. Suppose a = -17*q + 19*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2878 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**6\/(b**14)**(-22) assuming b is positive.\nAnswer: b**308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.2 times 98?\nAnswer: 20207.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.49 - -23.29. Put r, 0.2, 363, -0.5 in ascending order.\nAnswer: -0.5, r, 0.2, 363","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 211, 183, 153, 127, 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 4)*(-3)\/(-2). Calculate the greatest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56 + 4*p - 3*p - 998*p**3 - 46 - 62 + 307 wrt p.\nAnswer: -2994*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -15*y + 20. Is y at least as big as 15\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-12)*8\/(-6)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0047, 4, 1.5 in descending order.\nAnswer: 4, 1.5, -0.0047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/11)\/(51\/(-561)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42301 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21140773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1258\/7, 108, -5, 0.1, -32 in decreasing order.\nAnswer: 108, 0.1, -5, -32, -1258\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 + -8 + 1) - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6241455?\nAnswer: 3, 5, 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lldlidlllllldiilio. Give prob of sequence dill.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -5) + (-3)\/(-12). Let m = -5942\/15 - -396. Is m at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 w, and 1 e when three letters picked without replacement from {a: 1, m: 1, w: 1, c: 1, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5052 divided by -4.\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15763611?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -68. Suppose f*a + 5033 = 4*s, 3*s + 2*a = 2*s + 1272. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmm. Give prob of picking 2 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 2 - 1 - 71*m + 64*m. Determine z(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**2\/2 - 5*i - 1. Let m be x(-9). Solve 0 + 4\/7*f**3 - 2\/7*f**2 + 0*f - 2\/7*f**m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 55468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 6:18 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17c4c + -31?\nAnswer: 17c1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 229\/4 + -57. Let z = -19576 + 19574. Let f = 0.6 + 2.4. What is the nearest to n in z, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 5:02 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11737.3 + -11737. Which is the third smallest value? (a) -5 (b) n (c) -5\/4 (d) -6\/7 (e) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.005405*-6\nAnswer: -0.03243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/509 > 6821\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from rrrrrmrmrrrm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2061 + 969. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 27, 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12765 - 1892.7637599\nAnswer: -14657.7637599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4151 (base 6) in base 3?\nAnswer: 1021111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 74853053 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2\/103, -4\/9 in descending order.\nAnswer: -2\/103, -0.4, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkdkkkakkk. What is prob of sequence dk?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1858, -0.3, 0.2, 4.7?\nAnswer: -1858","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*x**4 - 819*x**3 + 2*x**2 - 2*x + 1313065 with respect to x.\nAnswer: 148*x**3 - 2457*x**2 + 4*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11079.4, 1\/3, -2, -0.3, 1.485 in ascending order.\nAnswer: -2, -0.3, 1\/3, 1.485, 11079.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 1049 (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -134589 divided by 6?\nAnswer: -44863\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 91?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 12132.33?\nAnswer: 12132.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-192)\/30)\/(26\/16380*36).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4678454 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 10*b**3 - 11. Let q(z) = 3*z + 47. Suppose 4*l + 40 = -20. Let w be q(l). Let i(o) = 0 + 0 + o**3 + 1 - w*o**3. Determine 22*i(a) + 2*n(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, 10, 22, 38?\n\"Answer: 2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = 13*a - 52 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*p**5 - 3198*p**4 - 17828*p**3 + 751446*p**2 - 707636*p - 22848 = 0. What is p?\nAnswer: -16, -1\/32, 1, 14, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -33611 divided by 5518\nAnswer: -33611\/5518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-13\/5)*h)*h)\/((h*h**(2\/13))\/h*h))\/(h\/((h**(4\/5)\/h)\/h*h*h)*h)**(-42) assuming h is positive.\nAnswer: h**(674\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*u**2 - 46*u**2 + 13*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*k + 77 = -39 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, b: 4, v: 1, j: 1, i: 3}. What is prob of sequence jbii?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5485731, -5485730, -5485729, -5485728, -5485727?\nAnswer: -5485726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*o = -6*w - 59, 4*w - 2*o + 42 = 0. Let c be w + (10 - 5) + 11. Calculate the greatest common divisor of c and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48460, 49999, 51538?\nAnswer: 53077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283*t = -279*t - 8. Let y be t*(72\/16)\/9. Let j be ((-1)\/6)\/(9\/14). Does y = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278 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 r = 4338 - 4302. Which is the biggest value? (a) 2.1 (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2430043140 (base 5) in base 4?\nAnswer: -111301010331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2. Let a = 2 - -3. Suppose 0 = 2*f - a*s - 33, -2*s = -2*f + 12 + 6. Let w(m) = -f*m + m + 6*m. Calculate w(k(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 76102 (base 16) in base 3?\nAnswer: 220120100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m - 2. Let v be b(-1). Suppose 10*y + v*y - 78 = 0. Calculate the remainder when 166 is divided by 82\/3 - ((-32)\/(-6) - y).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c. Let p(n) = 200305*n**2. Calculate p(o(f)).\nAnswer: 801220*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -25*a**3 - 7*a - 775. Let i(m) = 18*m**3 + 5*m + 517. Give -5*g(r) - 7*i(r).\nAnswer: -r**3 + 256","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9384, -9376, -9368, -9360, -9352, -9344?\nAnswer: -9336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34003330 (base 5) in base 4?\nAnswer: 1020211330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-16)*4\/35\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/10 greater than 1\/32895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*p + 25 = -0*p, 2*h - 12 = -4*p. Suppose 2 + h = 2*i. Suppose 0 = -4*l + 3*m + 5, -i*l - 3*m = -0*l - 9. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.6 - 0.4. Let h = 0.4 - 0.41. Let j = 0.99 - h. Which is the third biggest value? (a) u (b) -0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4550 + -4538. Solve 8 - l = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494692?\nAnswer: 2, 11, 11243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-1\/7)*o**(-2\/119))**(-24))**(3\/22) assuming o is positive.\nAnswer: o**(-7884\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 74 in 2, -3\/10, 1.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnbnbbnhnnbbbnbnnnbn. Give prob of picking 3 b.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjosmjmxjsmmmm. Give prob of sequence momm.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -664 + 1037. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - 0. Let p be (-8953)\/35 - (-1)\/a. Find the common denominator of ((-44)\/(-6))\/(p\/72) and 1\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1872367 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*l**2 - 6*l + 9*l - 142*l**2 - 3*l.\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 5*x - 1. Let l = -187 - -191. Calculate j(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23367, 5, -0.2 in descending order.\nAnswer: 23367, 5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 8 = -102. Let b = 16 - 31. Let p = b + 31. Calculate the least common multiple of p and h.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 981, 849, 631, 327, -63, -539, -1101?\n\"Answer: -43*u**2 - 3*u + 1027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 720892.53 rounded to the nearest 10000?\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324300285 divided by 21620019.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 + 74 = 5*s. Suppose 0 = -0*g + g + t - 4, 3*g + 2*t - 10 = 0. Calculate the remainder when (2\/3)\/(4\/s) is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 19. What is the remainder when 16 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10b - -30b065?\nAnswer: 30ab56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0089 + -0.2089. Which is the second smallest value? (a) 6\/17 (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 19 + -8 + -12 + (1 - 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -504*j**2 - 128*j**2 + 2 + 276*j**2 + (3 + 2*j - 3)*(j - 1 + 1) - 4*j**2 + 5*j**2 + j**2.\nAnswer: -352*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 - -4.7. Let w = 5.9 + -10.57. Let k = -4.47 - w. Which is the closest to 0? (a) y (b) 0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -1292\nAnswer: -516.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1822 divided by 4976?\nAnswer: 911\/2488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15356 divided by -4\nAnswer: -3839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(-42) - (-176)\/14. Let j = -2 - -4. Suppose 0 = z - 5*d + 10, z + 2*d - 21 = -j*z. Solve -u = -z*u - x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -11*f + 9*f. What is the smallest common multiple of 8 and ((-24)\/10)\/((-8)\/f)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 19*k - 312. Calculate the remainder when 94 is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-1 + -1 + 0 + 5)) + -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 0*w**4 + 0*w**3 + 0*w + 0 - 1\/30*w**5 - 16*w**2. Let o(b) = 1 - 1 + 5*b. What is l(o(m))?\nAnswer: -50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38892359.\nAnswer: 11, 47, 75227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) -1870 (b) 18 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 1:53 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k*v**3 - 2*k*v**2 - 444*k*v - 3*k - 209159903*v**3 + 13*v**2 + 419*v + 1 wrt v?\nAnswer: 18*k - 1254959418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2. Let w(v) = -226501290*v**2. Calculate w(r(y)).\nAnswer: -226501290*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77955 is divided by 38887.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*y**3 + 189*y**3 + 51 - 92*y**3.\nAnswer: 2*y**3 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7877*n = -1924*n + 441276 + 283998 for n.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1380.9 + 1375.9. Let t = -2 - -1.5. Which is the nearest to 0.1? (a) t (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**2 - 28899328*a + 278672692?\nAnswer: 4*a - 28899328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -5) + 15 + (-12 - (18 - 2 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**2 + 39382*q + 0*q**2 - 35077*q to j*q**2 + s + y*q and give y.\nAnswer: 4305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3073281299 to the nearest integer?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15687630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.94951 - -0.05049. Let y = 3811\/14 - 272. Which is smaller: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(11) + sqrt(539)) + -4*-2*sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 10*z**3 - 6*z**2 + 4. Let t(m) = -10*m**3 + 5*m**2 - 3. Calculate 5*h(u) + 6*t(u).\nAnswer: -10*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as -16862.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 + 360*s**2 + 64*s**2 + 69*s**2.\nAnswer: 497*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3204.531 milliseconds in nanoseconds?\nAnswer: 3204531000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 32 = -0*x + 4*x, -2*q + 26 = 3*x. Let z = 1013 - 1012. Let r(t) = 2*t - 2 + 3*t + z - t**2 - 5 + 2*t. What is r(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*s - 33 = -1, -36 = -b + 6*s. Solve 17*m - 15 = b*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 35*z - 31*z - 45, -4*x = -2*z - 10. Suppose -4*k + 4 = -0*k. Put k, z, -2 in increasing order.\nAnswer: -2, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1 - g + 2*g - 3 - 3. Let k be 1\/((-2)\/4 - -1). Suppose 2*w + 2*x + x = 19, k*w + x - 13 = 0. Calculate a(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 2. Let w = -5 + 3. Let d(q) = -q**3 - 3*q**2 - 1. Let k be d(-3). Sort b, k, w in descending order.\nAnswer: b, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -58*j + 0*j**3 + 30*j + 4*j**2 + 4 + 2*j**3 + 26*j - 7*j**2. What is v(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 52 = 3*u - h - 22 - 22, 0 = 7*u - 3*h + 20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4 + 2*z + 1 - 12*z**2 + 0 + 2. Let f be m(1). Let x(b) = -5*b. Is x(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428670518 to the nearest integer?\nAnswer: 20704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17870 - 17869.988399. Round r to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/3136 and -97\/168168?\nAnswer: 1345344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from dddldludlxdlllv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 - 16*y**2 - 15*y - 5. Let f = 19 - 27. Let c be t(f). Suppose -4*q + 77 = -c. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*u + 6*n - 2*n, 2*n = 2*u + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-9\/7)\/t))**(-1\/39)*t**(-3)\/(t*t**32) assuming t is positive.\nAnswer: t**(-9851\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-4)*8\/10. Let l = -86\/67 - -239\/134. Put l, 1\/5, z, -2 in ascending order.\nAnswer: -2, z, 1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**4 - 6710320*y**3 - 3752368445304*y**2 - 699435224252783216*y - 699431471891048228 = 0. Calculate y.\nAnswer: -559193, -1","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: Suppose 0 = 5*f + 12*f - 68. Let z be (-3 + f - 5)\/(-14)*7. Solve z*i + 6 = 16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.613338 + -0.42397. Round s to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3 - 16*t**2 + 4*t + 16 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 319*q + 4*q**3 + 0*q**3 + 237*q - 3*q**3.\nAnswer: q**3 - 82*q + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90275590.\nAnswer: 2, 5, 9027559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (3 - 8) + 9 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 = -r + 13. Let m = 83 - r. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305310 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 8*m**2 - 5. Let y be o(8). Let d be 15\/25 + 23\/y. Calculate the least common multiple of 11 and (d\/(-2))\/(5 - 4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 50?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrr. Give prob of sequence rr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*i - 844 - 353, -2*h = 5*i - 1191. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 783*n + 81 = 805*n + 213 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 2*a**6\/9 + 11*a**5\/15 + 3*a**4\/4 + a**3\/9 - a**2\/6 - 3. Let y(o) = 0. What is o?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 + 36*u**2 - 3*u - 8. Let h(a) = 3*a**3 + 54*a**2 - 4*a - 12. Let v(f) = -5*h(f) + 7*l(f). What is the lowest common multiple of v(-18) and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1317 and -1317 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 313935207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3518 (base 10) in base 7?\nAnswer: -13154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 e when three letters picked without replacement from ggzugozuuoeeuuzo?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 11. Let c be t(-7). Solve -2*b + c - 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 - 0.37. Let x be (-472)\/8732 + (1 - 103\/148). Which is the second biggest value? (a) -0.3 (b) 0.1 (c) h (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 58592.76 nanometers?\nAnswer: 0.00005859276","meta":{"dup_signals":{},"source":"measurement__conversion_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: Rearrange -2*k**3 - 2*k + 6*k**3 + k - 5*k**3 - k**2 to the form t*k**2 + p*k**3 + x + h*k and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.011 - 7.3.\nAnswer: -7.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-5))\/(-1) - -2. Let k = -196 + 864. Let i = 668.3 - k. Sort -2\/5, 5, i, a in ascending order.\nAnswer: -2\/5, a, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**2 - 7*q - 1. Let j(a) = 2*a**2 + 4*a + 1. Determine -5*j(v) - 3*m(v).\nAnswer: -v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 12 + t + 4)*(157 + 2*t - 145 - 8*t).\nAnswer: -6*t**2 + 48*t - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((-3 + 0)\/12). Let i be (q - -9)\/((-2)\/2). Calculate the remainder when 14 is divided by (i - -2) + (-3)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.0467?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = 3*q + 3, -a = 4*q + 12. Solve 5*v - 113 + 118 = a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-24))\/((-2514)\/(-4190))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1790 is divided by 52?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + -21 - (-41587 + -7).\nAnswer: 3, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72024243?\nAnswer: 3, 24008081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-15 - (-37 + 12)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + (-9 - (-26 + (15 - 3))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111111001001101001 (base 2) in base 5?\nAnswer: -231420342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -22*a - 142 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*((sqrt(243) - (1 + sqrt(243)))*-2)**2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**5 + 4592*n**4 - 1891204*n**3 + 330732648*n**2 - 21491547696*n + 117445490784 = 0.\nAnswer: 6, 178, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/256619 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0461 and -33.\nAnswer: -33.0461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1310250 to the nearest ten thousand.\nAnswer: 1310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560769 is divided by 367.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6404194 and 4.\nAnswer: 12808388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 174241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 637 - 633. Sort -5, 3, -1, o in descending order.\nAnswer: o, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 28509.07 and 24376030.\nAnswer: 24404539.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 30 = -5*r, -3*z = 4*r + 2*z - 28. Let t = 61 - 58. Let u be (-17 - -18) + -1 + 25. Solve u = t*o + r*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+339457002826\nAnswer: 339457002824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 488546 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 1382346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*j + 10 + 149, w - 5*j = 57. Is 21 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfxfgxrgxbrgbba. Give prob of sequence xgg.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -14*t**3 - 9*t**2 + 12*t + 11. Let x(a) = 1 - 3*a + 0*a**3 - a**2 - a**3 + 4*a + 0*a**3. Let q(s) = -2*d(s) + 22*x(s). Solve q(v) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -7*i + 2*i. Let r = 1003 + -1413. Calculate the remainder when (-2)\/(-4) - r\/20 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2188*k - 862*k + 1698*k = 63504 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.14 - -96504?\nAnswer: 96560.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 28. Let i = u - -13. Solve -3*f + i = -3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -542\/3 + 186. What is the common denominator of 24\/127 and u?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:56 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n + 1841 - 272 + 734 + 247 = 0 for n.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 1250022?\nAnswer: 1250024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**3*i*m - 6*a**3*m + 7*a**3 - 2*a*i*m - 4*m wrt i?\nAnswer: 2*a**3*m - 2*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000116 to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 13*d**2 + 1 - d**3 + 0.\nAnswer: -d**3 + 13*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4208)\/(-64))\/(1\/(-28)). Let x = 210 - u. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-17 - 11 - 49 + (0 + 4 - 2)*(4 - 2 - 1))*(39*f + 14*f - 20*f) in the form x + h*f and give h.\nAnswer: -2475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*h - 284*h + 41*h = -46*h - 13965 for h.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + j = 6*j + 33, 2*b = -3*j + 3. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72743 divided by -4279\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7490900*v**2 - 1061*v + 468 wrt v?\nAnswer: -14981800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 20. Give y(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -376107 plus -0.5?\nAnswer: -376107.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1210 divided by 5.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 12. Let r be m(-9). Solve -r*i - 3 = -18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*p + 26, 3*c + 2*p + 3 - 44 = 0. Solve -c = 4*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -10 - (-9 - 3 - ((35 - -10) + -7)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.394182 months to decades.\nAnswer: 0.00328485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002330 (base 4) in base 3?\nAnswer: 12212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.08575125 to two dps.\nAnswer: -1.09","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 7*f + 6. Let v be x(-6). Suppose -2*t - 22 = -114*w + 117*w, -2*w - 23 = 3*t. Put w, 164, v in decreasing order.\nAnswer: 164, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 11*a - 2. Let k be q(11). What is the remainder when 190 is divided by (-2 + 2)\/(k\/(-1)) + 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002935808 to 6 decimal places.\nAnswer: 0.000294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2875, 2889, 2917, 2965, 3039, 3145, 3289, 3477?\n\"Answer: t**3 + t**2 + 4*t + 2869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -85. Suppose -q = 9*z - 11*z. Calculate the greatest common factor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -70, 3\/5, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 182119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**7\/2940 + i**6\/630 + i**5\/420 - i**4\/42 + i**3 - 1. Let k(p) be the third derivative of z(p). What is s in k(s) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.89 - 1.446. Let p = -0.144 + y. Let t be 12\/9 - (-244)\/(-192). What is the closest to -1\/3 in 0.2, p, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -230*v + 1239. Let x be l(4). Calculate the greatest common factor of x and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (35 + -32)\/(1 + 0). Let n(q) = -q**3 + q + 28. Let b be n(0). Solve -2*t + 4*o = 20, -t - 5*o = -b + c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 30 = 2*w + 16, 4*f - 5*f + 180*w = 1260 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/66 - -1\/6. Let y = 49\/220 - 1\/44. Let i = y + -1\/30. Sort v, i, -1 in decreasing order.\nAnswer: v, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 589 divide 1369826568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-2)\/4)\/(9\/(36*-11)) and 26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 29 = -5*l + 102, 5*l + x - 119 = 0. Suppose -50 = -5*b + 2*u, -2*b + l = u - 6. Suppose 0 = 12*m - 16*m + b. Solve -10 = m*q - q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 3 + -3 + 1 + (0 - (-15 - -22))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1014342 (base 5) to base 12.\nAnswer: 98bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64972 is divided by 448.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v**(-1\/4))\/((v\/v**(1\/6))\/(v\/(v*v**(5\/4)*v))))**6 assuming v is positive.\nAnswer: v**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 5*a + 10. Let g be x(-12). Let n = -87 + g. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -5*d - u, 0*d - d = 5*u - 56. Suppose 4*w + d = -2*w. Is -2 + -3*662\/w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553858287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 5 (b) -1\/8 (c) 13\/23 (d) 14.8 (e) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.19 - -148.6. Let y = -137 + q. Is -2 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23789889?\nAnswer: 3, 23, 29, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11345373 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -16*c**2 + 17*c + 6. Let m(f) = 5*f**2 - 6*f - 2. Calculate -17*m(z) - 6*r(z).\nAnswer: 11*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/6 - (-2)\/(-6). Find the second derivative of 3 + k - 3 + c - k**5 wrt k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 + 25*r**2 - 14*r - 9. Let v be y(-13). Factor 1\/4*z**v - 1 + z**3 + 3\/4*z**2 - z.\nAnswer: (z - 1)*(z + 1)*(z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + (sqrt(2057) - -1*sqrt(2057)))*-4 - (1 + sqrt(2057)*-1))**2.\nAnswer: 242*sqrt(17) + 248898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-42))\/((3\/(-108))\/(19 - (-1309)\/(-68))).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12962?\nAnswer: 2, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5*4\/30)\/((-4)\/(-4386)). Let k = p - -1099. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3*p - 15, -5*p + 8 = 2*y - p. Let r(q) = 4*q - 19. What is r(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 772*y + 1281. Let l(p) = 393*p + 640. Let d(u) = -3*j(u) + 7*l(u). What is the first derivative of d(g) wrt g?\nAnswer: 435","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693407 to the power of 1\/2, to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.755667 + 169.326.\nAnswer: 168.570333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -171, -312, -397, -426, -399, -316?\n\"Answer: 28*z**2 - 225*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 4*f - 19, -20*v = -23*v + 3*f - 18 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3*r, -2*r - 1 = -4*x + 13. Let a(s) = s**2 + s - 12. Determine a(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/11640 and 163\/10260?\nAnswer: 1990440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 708512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1542\/(-15))\/(3528\/(-630)). Let h be (37\/(-63))\/(2\/12). Let a = l + h. What is the common denominator of -5\/3 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 3*d + 5, -3*l = -50*d + 49*d + 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -0*i + 84. Let o = 20 - i. Find the second derivative of o*b**3 - 3*b + 2*b**3 - b - 4*b wrt b.\nAnswer: 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -762430 >= -762430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**4 + 556768*t**3 - 25617704712*t**2 + 379501935717760*t + 466316530710616748 = 0.\nAnswer: -1139, 46777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2\/a)**(10\/9)*(a\/(a\/(a\/a**(2\/3))))**(-24))**(-24) assuming a is positive.\nAnswer: a**(496\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 925636330 to the power of 1\/2, to the nearest integer?\nAnswer: 30424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9380, -37540, -84472, -150176?\n\"Answer: -9386*c**2 - 2*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 30\/8*(-176)\/(-308)\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 646 and 60.\nAnswer: 19380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 0.104 in decreasing order.\nAnswer: 3, 2, 0.104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/36*32\/84.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*g - g**3 + 46*g - 93*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*x - 16*x - 9 = 30*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4677473.\nAnswer: 4677473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24685370 by 3287.\nAnswer: 7510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 13, v: 6}. What is prob of sequence hv?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 + 61*o**2 - 33*o - 63. Suppose 3*v + 2*g = -93, -g = 5*v + 3*g + 155. Let r be h(v). Which is greater: 2\/475 or r?\nAnswer: 2\/475","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqsqqqsqqqqqssqqq. Give prob of picking 2 q.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1156502835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 77 - (3 + -2 + 0). Suppose x = h - 2. What are the prime factors of h?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - t - 5*t - 8 + 8 + 2*t + (-4 + 1 + 1)*(-5 + 4 - 1)*(-3*t + 7*t + 0*t).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from {t: 1, i: 1, p: 1, s: 1, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -81*r**2 - 99*r - 194. Calculate o(-2).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 + 96. Solve -16 = -v + 3*v + 2*m, v + j*m = -28 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -s + 1793, -3*a + 5*s + 2091 = -3264. Is 40 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2785\/1821 or 2?\nAnswer: 2785\/1821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0.3, -3, 194?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110000111011 (base 2) to base 11.\nAnswer: -198a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/2)\/(b\/(b\/(b**(-3\/5)\/b))) assuming b is positive.\nAnswer: b**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1904, 7601, 17092, 30377, 47456, 68329?\nAnswer: 92996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 12 = o. Suppose 5*p + 3*q = 2 - 4, o*p + 6 = -3*q. Calculate the highest common divisor of p and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5256 = h, 3*p - 66 + 78 = 0. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33223708*l**2*s**2 + 2*l**2*s - 12507245*l*s + 2*s**2 - 1 wrt s?\nAnswer: -66447416*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = 12*l + 40. Suppose l + 25 = s. Calculate the greatest common factor of s and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263574724085 - -4.7.\nAnswer: 263574724089.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10944509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12584*y**4 + 630*y**2 + 20*y.\nAnswer: 302016*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -230, -463, -696, -929, -1162, -1395?\n\"Answer: -233*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9448599 rounded to 3 decimal places?\nAnswer: 0.945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1577452442 to the power of 1\/3, to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1054486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d\/((d*d**(3\/4))\/d))\/d)\/(d*d\/d**14))**17)**(-1\/11))**(19\/4) assuming d is positive.\nAnswer: d**(-14535\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1461*b. Let n(y) = 899*y + 908*y - 1804*y. Give u(n(k)).\nAnswer: 4383*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9026, -36069, -81148, -144263, -225414?\n\"Answer: -9018*h**2 + 11*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.15+5635245241\nAnswer: 5635245240.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-15) + (6 - 8). Suppose 61*j = 26 - 148. Which is greater: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*q = 16, 4*q = -0*q - 16. Suppose -x - 12 - 11 = c. Let w = x + 50. Calculate the remainder when w is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a + 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46485 - -18686758?\nAnswer: 18733243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -1007 - 1. Suppose -32*b + 18*b + a = 0. Calculate the highest common factor of b and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -680 - 209526*w + 209528*w - 226 to the form t + c*w and give t.\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00781831 to four dps.\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2741 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/17853 and 13\/121.\nAnswer: 196383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/1335, 5, -1.72, 1.\nAnswer: -1.72, -2\/1335, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/28)\/(55\/220)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 847*b + 62054 = 870*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + (sqrt(612)*3 - sqrt(612)) - -1*(1 + sqrt(612))))**2*1.\nAnswer: -288*sqrt(17) + 22048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*-42*-11*(-7)\/308\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-80))\/((-9)\/24*6)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(143) + sqrt(143) + (-2*(sqrt(143) + (1*sqrt(143) - sqrt(143))) - sqrt(143)))\/(sqrt(22)\/(sqrt(12)\/sqrt(6)) + (sqrt(77)*-3)\/sqrt(7)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 + b**2 - 1. Let c be d(-1). Let s be 8\/32 + c\/(-8). Suppose -4*v + 12 = -0*v - 4*r, v - 2*r - 4 = s. Solve 0 = z + v*z + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14988, 14961, 14930, 14895, 14856, 14813, 14766?\n\"Answer: -2*i**2 - 21*i + 15011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/(10\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d + 100. Determine o(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3351 - -3351. Find g such that -1\/3*g**3 + 1\/6*g**4 + 0 + n*g + 0*g**2 + 1\/6*g**5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Let g(f) = -f**2 + 16*f + 21. Let w be g(17). Suppose 10*d - 16 = w. Solve d*r + 2*r = z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 407 and 547530181.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853324230.\nAnswer: 2, 3, 5, 11, 173, 14947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 54*k**2 + 208*k - 264.\nAnswer: 2*(k - 1)*(k + 6)*(k + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -267\/4 - -2155\/36. Let p = 677753\/24 + -28235. Calculate the common denominator of y and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.5, 0.1, 1, -2\/49?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31798002191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 3:58 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 24695.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21330, -21334, -21342, -21354, -21370, -21390, -21414?\n\"Answer: -2*b**2 + 2*b - 21330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -580*n + 568*n + 432 = 0. Let c be (-9)\/(-3) - 1*(-4 + -245). What is the greatest common divisor of n and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 11:50 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*v - 54 - 6, -3*z + 116 = 4*v. Suppose x + 9 = -i, -3*x = -3*i - 7*x - v. Let q(p) = p**2 + 5*p + 9. Is q(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27338 is divided by 98.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 449 + -372. Let t = -25 + 35. Calculate the remainder when g is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/3 + 17 - 1. What is the highest common divisor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 55071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.4104575 months?\nAnswer: 0.0117538125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r. Let d(g) be the first derivative of 29*g**2\/2 + 2. Let s(m) = 1090*m - 2927*m + 1417*m. Let j(v) = 72*d(v) + 5*s(v). Give i(j(q)).\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 55 = m. Let y = m + 13. Solve c + n = -2, 0 = -6*c + y*c - 2*n - 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/76755 and 41\/76755.\nAnswer: 76755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d**3 - 1006*d**2 - 255*d + 432. Give w(126).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 446*t**3 - 6216*t + 31879 + 31880 - 63759 wrt t?\nAnswer: 2676*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4246425?\nAnswer: 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -397 divided by -35?\nAnswer: 397\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/21 - 220\/(-105). Let n(i) = 6*i + 1. Give n(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/1680*19136\/(-184)*15\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 396 and 33.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 1 + 1)*(19 + 23 - 40 + 85*j)*(-1 + 9 + 2 + (3 - 4 + 0)*(0 + 1 + 1) + 2 + 0 + 0 + 5 + 1 - 1).\nAnswer: 2550*j**2 + 60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*h = -59*h + 4. Let l(a) = 5*a + h + 7*a**2 + 5 - 7. Let p(j) = 0*j - j + 2*j + j**2. Give -l(o) + 6*p(o).\nAnswer: -o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -8*g**3\/11 - 277*g**2\/11 + 393*g\/11 - 108\/11 = 0.\nAnswer: -36, 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16994*l - 17013*l - 778 = -5*z, 0 = 5*z - 3*l - 106 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/31 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382310.\nAnswer: 2, 5, 38231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 e when three letters picked without replacement from {j: 1, e: 3, q: 4, m: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6*l\/(l*l*l**(2\/5)))**4 assuming l is positive.\nAnswer: l**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 17 - (-4 - 0)) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2652367 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21\/92 + 12\/23. Let i = 2 + -2. What is the closest to 0.1 in -0.3, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*w - 56*w - 341 + 253*w - 57*w - 60*w.\nAnswer: -w - 341","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4586 and 0.18.\nAnswer: 4586.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, g: 4, w: 3}. What is prob of picking 2 w?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + 28 + -6 + (6 - 4) + -10?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/22 - 4\/(-22). Suppose 0 = 3*f - l*f. Suppose f*b + 36 = 2*b. What is the lowest common multiple of b and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**3 - 3*p**3 + 20 + 6*p**2 - 22 - 3*p**2. Suppose 0 = 2*f + f + 15, 0 = -5*q + 2*f. What is v(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -15. Let h(t) = t**2 + 13*t + 18. Is 9 a factor of h(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 472287625?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -0.4 (b) -7 (c) -2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12917, 25835, 38735, 51617?\nAnswer: 64481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55 - -1343?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - 0) - (1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 28 = y + 2*v, -4*y + 112 = -v. Let m = 9 - -131. Calculate the greatest common divisor of m and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7961916 divided by -1326986?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2*g + 73, 3*u + g + 46 = 6*u. Let d be u\/10*(-2)\/(-6). Is d < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -299 - -310. Let z(l) = 3*l**2 - 3*l + 6. Calculate the remainder when z(4) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**4\/6 - 5*c**3\/6 - c**2 - 36*c. Let g(t) = -3*t**2 - 6*t - 3. Calculate 3*g(y) - 4*i(y).\nAnswer: -y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 193*z**2 + 16*z + 8. Let n(h) = -11772*h**2 - 972*h - 486. Let u(c) = -4*n(c) - 243*o(c). Let i(m) = -16*m. Give u(i(j)).\nAnswer: 48384*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251 + 1706*f - 72 - 91 - 88.\nAnswer: 1706*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 3. Let s(q) = 3*q**3 + 371*q**2 + 247*q + 123. Let m be s(-123). Sort m, g, -4\/7, 0.6 in descending order.\nAnswer: 0.6, m, -4\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, x: 3}. What is prob of sequence xyxx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.411331 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24576, -24622, -24714, -24858, -25060?\n\"Answer: -m**3 - 17*m**2 + 12*m - 24570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 3, 48, -2, -1\/3, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3 - 78336860*m**2\/3 - 8704094*m + 52224572\/3 = 0. Calculate m.\nAnswer: -13056143, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 373.17931?\nAnswer: 37.317931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from oiczzi.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083235 greater than 3083235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 31433.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 - (6 + -12 + 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 3:29 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52262 or -52263?\nAnswer: -52263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-8)*b*b)\/b**(-1\/3))**(-31)*b*b\/((b**(-6)*b)\/b)*b**7*(b\/b**(1\/7))\/b*b*b**(1\/2) assuming b is positive.\nAnswer: b**(6763\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*l + 3100 = 816 - 334 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 - -5?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3744 = 3744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 96473722.\nAnswer: 96473727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3300*l - 2093*l - 10837*l to the form j + v*l and give v.\nAnswer: -9630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**2*r)\/(r*r**2))\/((r**2*r)\/(r*r**0)))\/(((r\/((r\/((r*r**10)\/r*r))\/r)*r)\/r)\/(r**2\/r))**(15\/4) assuming r is positive.\nAnswer: r**(-185\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 + 2*w**4 - 297*w - 248*w - 428*w**2 + 2 + 426*w**2 - 3 as q*w**3 + m + l*w**2 + s*w**4 + p*w and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, -1 in descending order.\nAnswer: 7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0077508 to four decimal places.\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/11? (a) 1\/6 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 45498498 divided by -22749249\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 491 = 5*r - 825, 0 = -2*r - 3*o + 525. What are the prime factors of r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 242647?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -213 + 216. Let h(u) = -u**2 + 5*u. Let a be h(4). Factor -4*y - y**q - y**2 + a*y**2 + y**2.\nAnswer: -y*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1587201, 1587173, 1587145, 1587117, 1587089?\nAnswer: 1587061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110769756?\nAnswer: 2, 3, 17, 89, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 3*r + 2*r = 16, 2*j = -r + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5121, 10448, 15775?\n\"Answer: 5327*t - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a year?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyjjyjyyyyjyyij. Give prob of sequence yjy.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/3 (b) -3 (c) -207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttt. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + 27925 + -5 - (-15)\/3?\nAnswer: 2, 23, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x = 660 - 747 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10801.\nAnswer: 7, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 0. Suppose 5*i = -4*a + 2*i - 5, q*i - 20 = -a. Let p = -3.1 - -3. Put 2, p, a in descending order.\nAnswer: 2, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*l - 5*t, 2*t = -2*t - 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4*l + 6 + 1 = 0, 0 = -3*c + 2*l - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91247 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 447 divide 4618122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2970 + 990. Sort -3, -2, m in increasing order.\nAnswer: m, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*sqrt(931))**2 + 0.\nAnswer: 70*sqrt(19) + 956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 59730.47 centimeters?\nAnswer: 597304700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**3 + 2*y - 2*y - 5*y**3 + 3*y**3 + 3*y**3 + (5*y + y**2 - 5*y)*(2*y + 3*y - 7*y) - 1 + 1 - y**3 + y**3 - 5*y**3 + 2*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z + 1. Let d be 8\/(-6)*9\/(-6). Suppose -d*r - 6 = -0*r. What are the prime factors of j(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p - 17*p + 26*p + 58 = -5*c, 124 = 9*p - 5*c for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 182*f - 34801. What is h(192)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/10 - (-3)\/5. Let l be 12 + (6 - 3 - 6). Let w be (6\/5)\/(l + 2817\/(-315)). Solve 4*g - w = -q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**2 - 4*q - 7. Let u be -12*(-8)\/64*(-4)\/(-3). Let z(b) = -3*b**2 + 2*b + 3. Determine u*r(a) + 5*z(a).\nAnswer: -a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -4) + 3 - (-6 - -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a hour in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 914.6786675507?\nAnswer: 922.6786675507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lc when two letters picked without replacement from hcljchhllhc?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*p + p. Is (4\/p)\/((-2)\/291) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 + (-2 - (-4 - -2)) - (-1553 - -1550)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 5442*m**3 + 2 + 5 + 1 as u + x*m**2 + z*m**3 + l*m and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 444253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(3\/305)*76\/(-38). Suppose v = 2*q - 4*f, 5*q + f - 520 = 1027. What is the hundreds digit of (q + 2 + 1)\/((-9)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 smaller than 559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-1 - 1)) + ((9 - 202) + 63 - 6).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-18)*-3 + 28\/12. Solve 2\/11*g**x + 4\/11*g + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1814453 and -1.5.\nAnswer: 2721679.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 8162140.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20289800.\nAnswer: 2, 5, 101449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.908 rounded to 1 dp?\nAnswer: -17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881699 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 divided by 81?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h + 2 = 67 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -497 + 497. Suppose 12 = -2*k - 5*i + 129, u = -2*k + i + 135. What is the least common multiple of k and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3369810140 rounded to the nearest 1000000?\nAnswer: -3370000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**3 + 1. Let o be s(2). Let p be 3 + (o - (-2 + 0)). Let g(d) = -23*d. Let j be g(-5). What is the highest common divisor of j and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6028554 or -6028553?\nAnswer: -6028553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - p - 15. Suppose 3*d - 8 - 14 = -5*q, 0 = -3*d - p. Solve -g + 0*g = q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2459 = 5*x - 0*p, 2*x - 3*p - 970 = 0. Let g = x - 275. Suppose 0 = -6*q + 3*q + g. Calculate the greatest common factor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*l + 2 - 2 + 3*l**2.\nAnswer: 3*l**2 - 282*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -3 - (6 - -13 - (38 + -35)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 16*t**6\/15 + 5*t**3\/6 + 421*t**2 + 866*t - 2. What is the derivative of f(m) wrt m?\nAnswer: 128*m**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u + 6. Let p be 11*-1 - (-4 - -4) - 3. Let n be j(p). Calculate the highest common divisor of 374 and n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, w: 4, q: 2, k: 4}. Give prob of picking 1 q, 2 w, and 1 n.\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)\/sqrt(8))\/sqrt(5)*-5)**2*-6 + (sqrt(112) + (sqrt(112) + 0)*-2 + 1)**2.\nAnswer: -937 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2316 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1, -7\/4, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 125 divided by -8\nAnswer: -125\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -18. Suppose -g = -u*g. Suppose -6 + 18 = 3*c. Solve g = 6*f - 2*f + c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003019038 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 303\/(-3131)*10\/(-15)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*p**4 + c*p**2 - 38*c + 53*p**5 + 16993*p**3 + 53*p**2 + 45*p wrt p?\nAnswer: 24*c*p + 3180*p**2 + 101958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sscvvcsssvhcs. What is prob of sequence ch?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129385 divided by 25877.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-5*s - 9*s + 2*s)*(0*s**4 + s**4 - 4*s**4) - s**5 + s**3 - s**3.\nAnswer: -37*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2\/5 - 1608*t\/5 - 323208\/5 = 0. What is t?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136.1244g to milligrams.\nAnswer: 136124.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199846 + 199786 = 15*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -120, -9, 5, 435 in ascending order.\nAnswer: -120, -9, 1, 5, 6, 435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -404 + 244 + 188 + l - 3*l. What is n(-11)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*a = 2*a + 6, 2*a = 5*u - 24. Is 3 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1958?\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 66*t - 68*t - 18.\nAnswer: -2*t - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34369, 34588, 34807?\n\"Answer: 219*n + 34150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2785147160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 25*s + 59. Give w(-20).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from kzkeezzeezkezezzz?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1900*n**3*r**3 - 3*n**3*r**2 - 68*n**3 - 3*n**2*r**3 - 23*r**3 wrt n.\nAnswer: -11400*r**3 - 18*r**2 - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1532288 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 683435 - 2720405\/4. Let b = -3318 + x. Calculate the common denominator of b and ((-1)\/(-6))\/((-25)\/(-315)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -915604751\/237688 - -108\/29711. Let m = 3858 + w. Calculate the common denominator of -103\/12 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-5 + 0)*(5 - -3)\/(-4) and 34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211771 is divided by 421?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3889103143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a micrometer in nanometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 15 = -4*y - u, -5*y - 5*u = -60. Calculate the remainder when 116 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 3. Let x be h(4). Let c(k) = 2090*k - 4162*k + 4 + 2073*k. What is c(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(2*r + 1 - 1) + 2 - 4*r - 2 + (-6 + 1 + 1)*(2*r - 2*r + 2*r).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -5. Suppose 27 = 5*x - 3*r, -3*r + p = 12. Suppose l - 12 = -4*i - x, -5*l - 3*i = -79. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d. Let x be o(10). What is the smallest common multiple of 3 + (0 - -1)*1 and x\/7 - 8\/(-28)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6212412707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - (-56)\/12)\/(2\/720). Let d = -1430\/3 - l. Solve -5\/3*w**2 + d*w**3 + 0 + 0*w = 0 for w.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -197*z - 4920. Let m be j(-25). Let k(x) = -4*x + 4*x - x + 5*x**2. Let s be k(1). Solve u = -m*n, 2*u + 2*u + s*n - 16 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 - 115 = -2*m. Solve 7*b + 14 = -m*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is bdc (base 15) in base 9?\nAnswer: 3610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2655, 2654, 2653?\n\"Answer: -t + 2656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 4*f + 12. Let s be m(6). Suppose s = 4*l - 5*l + 2. Solve 5*r = -15, 2*j = 4*r - 0*r + l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 774885121 to the power of 1\/3, to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1.16. Which is bigger: i or -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -14 - 116. What is the lowest common multiple of (l\/(-10) - 3)*-30 and (-2 + -1)*(14\/(-3) - -4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 + -9?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105 + 52. Let j = y - -52.978. Let h = j - -5.022. Sort h, -2, -1 in decreasing order.\nAnswer: h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5087307\/88 - 57810. Find the common denominator of c and ((-47)\/15)\/(128\/20).\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106*b**6 + 1003627*b**4 + 428501740*b**2 wrt b.\nAnswer: 12720*b**3 + 24087048*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73976, 148123, 222270, 296417?\nAnswer: 370564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 603 and 681 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/r**4)\/((r*r**(-2\/7)*r)\/r**4) assuming r is positive.\nAnswer: r**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**3\/3 - 3739664*t**2\/3 + 1748135854112*t\/3 = 0.\nAnswer: 0, 934916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.049 times -65405\nAnswer: 3204.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(1\/2)*(f**4\/f)\/f*f*f**(-6) assuming f is positive.\nAnswer: f**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 2*c**2 + 0*c**2 + (4 + 1 - 2)*(-c**2 - c**2 + 4*c**2) + 0*c**2 + 4*c**2 - 6*c**2)*(-1 - c**2 + 1).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**4 + 75124*w**3 - 14327710*w**2 + 681423600*w = 0?\nAnswer: -37752, 0, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 21 = 171. Suppose -p = -6*p + y. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1518, 1535, 1576, 1653, 1778?\nAnswer: 1963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1573228 less than -12276?\nAnswer: -1585504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7433, -7359, -7273, -7199, -7161, -7183, -7289?\nAnswer: -7503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(96) - sqrt(96) - sqrt(96))\/sqrt(12)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*o + a - 2, -3*a + 11 = -2*o. Let n(k) = 2*k**2 - 7*k + o*k + 5*k. Let t(g) = 2*g**2. Determine n(t(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17*2\/(-6) + 5. What is the nearest to -3 in 5, 2\/3, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 - 141 - 227 = -67*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 21*r - 117. Let o be b(8). Solve 64*d = o*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82824999901*t**2 + 82824999901*t**2 - 8*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (2 + 0)) + -2 + (-38 - -46)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + -2 + -2 + 4*3*sqrt(1323).\nAnswer: -5 + 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtqqtqztzzzqqtqqt. What is prob of picking 1 z and 1 q?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/8 + 11637*x\/8 + 75387\/4.\nAnswer: 3*(x + 13)*(x + 3866)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0144159 to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -7949 + 7945, 2*g = -2*u - 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 33?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 + 81. Which is the smallest value? (a) -1 (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 7. Let v = -56 + 77. Let h = p + v. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21005, -2.798, 4.\nAnswer: -2.798, 4, 21005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 - 50 = 2*w. Let s(c) = -c**2 + c + 1. Let n be s(-4). Let m = w + n. Calculate the highest common factor of 56 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - c = -4*g - 287, 3 = -3*c. Let s = -147 + g. Put s, -1, 3 in increasing order.\nAnswer: s, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -184.06 - -184. Sort r, -0.1, -1.3, -5 in decreasing order.\nAnswer: r, -0.1, -1.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -72421, -67533, -62647, -57763?\n\"Answer: -m**2 + 4891*m - 77311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 b when three letters picked without replacement from ybbddbdzpbdwb.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87035*g*o + 379*g - 56 wrt o?\nAnswer: 87035*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9132875 is divided by 3044291.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*g - 18 + 9 + 9 + 2*g**2 to the form x + u*g + j*g**2 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/66066362 and -34\/9.\nAnswer: 594597258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.9163 + 0.0437. Let h = m - 27. Let u = h + 1.04. Which is the nearest to u? (a) 0 (b) 4 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 7*i - 45. Let d(c) be the first derivative of -c**4\/4 + 8*c**3\/3 + 6*c**2 - 2*c - 34. What is the units digit of d(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100032 (base 5) in base 15?\nAnswer: -de7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2*(-6)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**3\/3 + 2*t**2 - 4*t + 15. Let f(a) be the second derivative of a**3\/6 - a**2\/2 - 2*a. Determine -7*f(b) + 2*o(b).\nAnswer: 2*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q = 224344 - 224644 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 77683, 310944, 699713, 1243990?\n\"Answer: 77754*o**2 - o - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 116, 92, 68, 44?\n\"Answer: -24*f + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*(-13)\/2)\/(((-4)\/40)\/((-1054)\/(-5270))).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90548964*p**4 + 2*p**2 - 118404326*p wrt p.\nAnswer: 2173175136*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/165)\/(204\/170)*-3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -676826, -2707314, -6091460, -10829264, -16920726, -24365846, -33164624?\n\"Answer: -676829*z**2 - z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + -9 + 24 + -10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/o**(8\/3)*o)*o)\/(o\/((o**(7\/3)*o*o)\/o)*o)*(o**2)**(1\/21) assuming o is positive.\nAnswer: o**(65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*m - 52, -m = -4*j - 42 + 126. Solve -3*f + 4*x + 28 = 2*f, 3*f - 5*x - j = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 9. What is the smallest value in 0.1, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 4, 17251, 2 in ascending order.\nAnswer: 2, 4, 34, 17251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.879 - 8.709. What is the nearest to 39 in 0.3, f, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -9*d**2 - 2895. Let l(x) = 6*x**2 + 4*x + 4. Let q(j) = -7*j**2 - 5*j - 5. Let a(b) = -5*l(b) - 4*q(b). What is a(k(t))?\nAnswer: -648*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 12:01 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2 - 2*a - 2. Let d(h) = -h - 5. Let t be d(-4). Let n be b(t). What is the tens digit of 2*16\/(-6)*n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 9:20 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.99 + 1.547. Let h = d - 1.557. Which is the closest to h? (a) 0.25 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*i**2 - 15027*i\/7 + 561.\nAnswer: 3*(i - 119)*(42*i - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1696 and (-6)\/22 + (-156910)\/(-634304).\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.99? (a) -2\/13 (b) 1\/8 (c) -10 (d) 1\/168 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82.4 + -107. Let o = 25 + g. Let p(n) = -n. Let d be p(-4). Put 2, d, o in descending order.\nAnswer: d, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 5, o: 2, x: 12}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2370414 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -28*u. Let f(o) be the third derivative of 25*o**4\/24 + 4*o**2 - 5*o. Let i(d) = 5*f(d) + 4*y(d). Let w(l) = -3*l + 4*l - 2*l. Give w(i(b)).\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 4 + 4)*((1 - 1 - 4)*(3 - 4 + 3) + 0 - 2 + 0)*(6*j - 3*j**3 - 6*j).\nAnswer: 30*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h. Suppose -2*b = -3*n - 893, -3*b + 7*n - 2*n + 1340 = 0. Let f(q) = -398*q - b*q + 796*q. What is f(l(w))?\nAnswer: 235*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**6\/12 - a**5\/60 - a**4\/24 + a**2. Let v be b(-1). List the prime factors of (-2 - v)\/((-1)\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -u - 21. Let f be 3*15\/(-2)*(-2)\/u. Solve f*a + 9 = -5*v + 2*v, -2*v = a - 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -0.1 (c) -0.7 (d) -0.13 (e) -5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -153644 less than 1192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 3.689?\nAnswer: 0.3689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131*n**2*z**2 - 147*n**2*z - 2*n**2 wrt z?\nAnswer: 262*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-6 - (11 + -28)) + -7 - 53.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/154 and -21\/2?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46856 is divided by 23396?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 295*i - 479. What is the ten thousands digit of o(36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 14 + 4 + -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13a - 457?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26417181*z**2 - 50037661*z wrt z.\nAnswer: 52834362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, c: 1, r: 1, n: 4}. Give prob of sequence xx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3 (b) 0.5 (c) -1421 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + 3 - 3)*(4*n**2 - 3*n**2 + 0*n**2) + n**3 - n**3 - 2*n**3 + (-4*n + 4*n - n**3)*(0 + 5 - 2) to p + b*n + s*n**3 + x*n**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33.09 - -33. Are q and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**4\/12 + v**3\/6 - 3*v**2. What is the units digit of u(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2408*r**2 - 1 - 2*r + 3*r - 2*r. Let j be h(-1). Suppose -747 = b - j. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 = -1. Let k(u) = u**2 - 16*u + 9. Let r be k(15). Does 15 divide -3*9*(t - r\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(6 + (-42512)\/7085)?\nAnswer: 5, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*d - 336 = 4*d. Let g = d + -5. Solve -g*c + 3*o = -3, c + 7 = -2*o - 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01991 and 0.\nAnswer: 0.01991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -314 + 316. Suppose 0 = a - 4, -f + 571 = h*a - 4868. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7819*j**2 - 21*j + 25. List the prime factors of m(1).\nAnswer: 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/4 + (-187)\/44. Let i = q - -7. Solve -i*t = -10 + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67121473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/15 - (-48)\/15. Suppose 8 = t - b*a, 2*a + 17 = t + a. Calculate the remainder when t is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2 - 45*d**6 - 4*d**2 + 47*d**6 - 2*d**2 wrt d?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z. Let a(y) = -7*y - 3 + 6*y**2 + 3*y**2 - 10*y**2. Let v = 9 + -13. Let g(x) = v*i(x) - a(x). What is g(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 14 + 8 = -4*c, 4*c = 5*a - 30 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*sqrt(85) + -5*(sqrt(85) + sqrt(85)*-1))\/((sqrt(160)\/sqrt(64) - sqrt(40))\/(2*sqrt(1152))))**2.\nAnswer: 626688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = 2*k + 15*w, 0 = -7*k + 3*k + 4*w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*u**2 - 1237 + 1237 + (3*u + 3*u - 4*u)*(-u + u + u).\nAnswer: 35*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24604, 24369, 24170, 24025, 23952, 23969?\nAnswer: 24094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - 13. Let x = -22 - b. Suppose 3*d - 6 + 0 = 3*a, d + a - x = 0. Calculate the lowest common multiple of d and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 19. Suppose -n*a + 3 = -21. Calculate the least common multiple of a and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -533 + 593. What is the remainder when y is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9800\/312375)\/(12\/(-15))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -4. Let g = f + -4.06. Let d = g + 0.16. What is the closest to 0.2 in 4\/3, d, -1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 36 = 3*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:15 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326683?\nAnswer: 7, 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 16. Let b = w - 0. Let c = b + -9. Is c >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2313 is divided by 216.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -314 + 314.1. Which is smaller: -1\/238 or x?\nAnswer: -1\/238","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -8*a - 7*a. Let q(u) be the third derivative of 0*u + 22*u**2 - 7\/6*u**3 + a - 1\/3*u**4 - 1\/60*u**5. What is q(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*s**3 + 24 + 14*s**3 - 11 - 16.\nAnswer: 34*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l*w**3 + 41*l*w - 28*l*x - 4*l + 256396*w**3*x + w wrt w.\nAnswer: -12*l*w + 1538376*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/21 (b) 3 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 5*q**2 - 3*q + 3. Let n be m(-3). Let j be ((-3)\/n)\/((-1)\/(-10)). What is the greatest common divisor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -875 + 440 + 435 + 15860*w in the form f*w + v and give f.\nAnswer: 15860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 9 = -12. Let r = 26 - a. Suppose 0*h - 20 = -r*h. Solve h*x - 5 = 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/(0 + 4 + -6). Let t(o) = 2*o**2 - 4*o + 15. Is t(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4053 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 95*q - 91*q - 32 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = 0, -h + b - 7 - 23 = 0. Let g = h + 48. Calculate the remainder when 74 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 2. Let s(l) = l**2 - 2*l - 3. Let a be s(g). Let f(o) = 1 - 4*o - a*o**2 + 16*o**2 + 4*o. Give f(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2148*i + 4402. Give n(-2).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -738 plus -1418?\nAnswer: -2156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 113893763 to the power of 1\/2, to the nearest integer?\nAnswer: 10672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -22, 5, -23, 2\/7, 0.3?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -25\/46, 0.1, 3, 2\/3 in descending order.\nAnswer: 4, 3, 2\/3, 0.1, -25\/46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 49*k**3 - 35*k**2 - 833*k. Let d(a) = 3*a**3 - 2*a**2 - 49*a. Determine 35*d(l) - 2*o(l).\nAnswer: 7*l**3 - 49*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**5 + 361*p**4 + 304*p**3 - 8862472*p wrt p.\nAnswer: -60*p**3 + 4332*p**2 + 1824*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 7. Let u be w(3). Suppose u*f - 2250000 = f. What is f rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2820\/(-5076)*9\/(-165).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*(3 + sqrt(3) + sqrt(9)\/sqrt(3)*2 - (1 + sqrt(3) + -3 + 0)))**2 + 0.\nAnswer: 240*sqrt(3) + 444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (0 + 5)) + -3 + 0 - 21?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1824 - -1925. What is the greatest common divisor of 2929 and w?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u - 2. Let l = 6 - 4. Suppose -l*h + 11 = 1. Let j(t) = t - 8*t - h + 0*t + 3*t. What is -5*i(x) + 2*j(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 0*d**2 + 4*d**2 + d**2 + 0*d**2 - 2*d**2 - 2*d**2 + 36*d**2 - 16*d**2 + (-2 + 2 - 1)*(0*d**2 - 3*d**2 + 2*d**2).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Suppose 920 = 3*c - 4*p, 7*p + 1544 = 5*c + h*p. Suppose v = -2*v - 5*r + 342, -3*v + c = -5*r. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.5 (b) 0 (c) -1\/10 (d) 11 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 121 + -64. Suppose p*j - 53*j = 188. List the prime factors of j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -3*t + 4. Suppose 1250*m + 3*s + 15 = 1253*m, 4*s + 6 = -3*m. Sort t, 8, m in increasing order.\nAnswer: t, m, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 829 - 0?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, f: 5, n: 1, w: 1}. What is prob of sequence wv?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-885 - 24)*((-8)\/4)\/2.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -637702669 + -280.296\nAnswer: -637702949.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.09957*0.6\nAnswer: 0.659742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.88 + -0.32. Let z = -3.26659986 + 0.06660686. Let n = j - z. Round n to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 450250.037 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 - 41*x + 30. Determine p(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 33. What is the remainder when (-4)\/(-34) + (-3972)\/(-51) is divided by h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j**2 + 2*j + 5. What is the hundreds digit of n(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77680 rounded to the nearest 1000?\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49080789 or 49080785?\nAnswer: 49080789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -242, -255, -284, -335, -414?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3\/i*i)**16)**(-47) assuming i is positive.\nAnswer: i**(-2256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 11:56 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 262, 443, 794, 1315, 2006, 2867?\n\"Answer: 85*g**2 - 74*g + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/(n**5*n))\/(((n*n**3)\/n)\/(n*n\/n**(-1\/2)*n*n)) assuming n is positive.\nAnswer: n**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 79176095 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 315, 1640, 3843, 6918, 10859, 15660, 21315, 27818?\n\"Answer: -v**3 + 445*v**2 - 3*v - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 7*t**2 + 9. Let x = 4 + -2. Suppose 5*g - x*r - 81 = -r, 15 = g + r. Calculate the remainder when g is divided by z(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l**2 - l - 4. Let t(g) = -5*g**2 + g + 3. Let x = -21 - -25. Determine x*t(b) + 3*y(b).\nAnswer: -2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**3 + 0*r**3 - r**3 + (0 - r**2 + 0)*(-25 - 18157*r - 75020*r + 25 - 42861*r) to m*r**3 + f*r + s + a*r**2 and give m.\nAnswer: 136040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3841 in 0.69, -2\/13, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 337157.8 millilitres in litres?\nAnswer: 337.1578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 0*a - 3*a**2 - a + 0*a. Let k(n) = n**3 - 2*n**2 - n. Let p(t) = 3*k(t) - 2*o(t). What is the second derivative of p(s) wrt s?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 a, and 1 c when three letters picked without replacement from vcancajny.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 - -178. Let b = -102.99999957 + i. Round b to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -2 (c) -3.1550712 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.45541 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*z + 4*z - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 - -60.1. Let n = i - -1. Let r = 60.53 - n. Round r to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(300)*-2 + 4 + (sqrt(300) - sqrt(300)*-1) + sqrt(300) + -4*(sqrt(300) - 1*sqrt(300))*-4)**2 + 2.\nAnswer: 140*sqrt(3) + 351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(1 + -2)*1. Let o(t) be the third derivative of 1\/12*t**n - 2\/75*t**5 - 1\/15*t**3 + 0*t + 0 - 7*t**2. Factor o(x).\nAnswer: -2*(x - 1)*(4*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**3\/3 + 5*f**2 - 7*f + 29. What is y(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 6*j - 3*j)*(2 - 3 + 0) + (-2*j + 3*j - 7*j)*(-4 + 2 + 6)*(-3 + 1 + 1).\nAnswer: 23*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 29*h + 20. Let c be v(-29). Calculate the greatest common factor of c and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128905859.\nAnswer: 379, 340121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 21. Suppose -2*n + m = -20 - 3, -49 = -d*n + 3*m. Which is bigger: n or 9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/3 + (-12)\/18. Suppose 0 = -4*x + i*o + 45, 4*x - 5*o - 42 = x. Calculate the highest common factor of 45 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006594457693 rounded to 7 decimal places?\nAnswer: -0.0065945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 10*p + 25. Let s be a(-4). Suppose -s*v + 8 = 8. Solve 10 = -3*j + 5*w, -2*j + 4*w - 6 = -v*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 3*y - 11, 42*i + 5*y = 47*i + 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1957 + -0.1957. What is the closest to -0.3 in h, -0.32, 1\/5?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c26 (base 16) in base 6?\nAnswer: 505022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287403, 573379, 859355, 1145331, 1431307?\nAnswer: 1717283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/28 - 1\/4. Let h = -395173.6 - -395174. Which is the nearest to h? (a) q (b) 5 (c) -2\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -67*n**3*z**2 - 15*n**3*z - 1145*n**3 + 13*n - 3744*z**2 - 143 wrt z?\nAnswer: -134*n**3*z - 15*n**3 - 7488*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 13. Let m be (-2)\/3*(-3)\/q. What is the third smallest value in m, 2\/21, 2\/17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p + 10 = -2*v, 2*v + 8 = 0. Suppose 2*q - 66 = -4*h, 4*q - p*h - 73 = 19. Solve 6*d - 5 = q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + 2*s + 1. Let l(j) = -j**3 - 3*j**2 + 3*j + 8. Let o be l(-3). Determine i(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhwhm. Give prob of picking 1 m and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -295794, -592438, -889082, -1185726, -1482370, -1779014?\n\"Answer: -296644*c + 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*z + 79 - 974, -3*z + 1460 = 5*t. Suppose y = 32*v - 31*v - t, -5*y - 2*v = 1468. What is y rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230353383 a multiple of 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*g - 16, 0 = -4*g - 0*g + 5*h - 18. Does 8 divide (4 - (0 - g)) + 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r + 3*j - 18, -3*r + 5*j = 16. Calculate the remainder when -14*1*(-4)\/8 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*12\/((-8)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 - 5*q**4 + 10*q**3 - 10*q**2 + 5*q - 1.\nAnswer: (q - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/135199?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/5)\/((-8)\/10)*4. Suppose t - 18 = -2*t + h*v, 0 = 2*v - 4. Solve -2*a + 2 = -t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 57097 - 63901 = -2*j, -60494 = -j + 3*d. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 1:15 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -9. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151683812 is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1 (b) -0.4 (c) 83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 17*c**8\/28 - c**4\/3 - 40*c. Find the third derivative of f(s) wrt s.\nAnswer: 4080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 1. Let c be q(4). Suppose 3*u - 13 = m, 0*m + c*u = 4*m + 7. Suppose -3*l + 0*w - 2*w + 1951 = 0, 2*l - m*w - 1294 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {f: 7, a: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 505, 434, 257, -74, -607?\n\"Answer: -8*m**3 - 5*m**2 + 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 64*t - 50*t. Put t, 165, -2 in ascending order.\nAnswer: t, -2, 165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 3*u - 3. Let f be v(-6). Let s = 23 + f. Suppose -4*a + 2*a + 2 = 0. Calculate the greatest common divisor of a and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1914308 rounded to the nearest ten thousand?\nAnswer: 1910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2. Let t = 6 + k. Suppose -185 = -t*y + y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -2\/81195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -15. Suppose p*b - 22 = 2*b. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -58*h - 92, 172*h = 167*h - k - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*(sqrt(245) + 0 + sqrt(245) + sqrt(245))**2 - ((1*sqrt(45) - sqrt(45))**2 + -4)) + -4)*-6.\nAnswer: 105912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2. Let l(c) = 3*c**2 - 455*c + 32. Determine l(n(g)).\nAnswer: 3*g**4 - 455*g**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -111001 (base 2) to base 5\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n + 4. Let o = -22 + 19. Determine g(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 - -0.25. Let m = -2323 + 2322.9. What is the fourth biggest value in 5, 2\/11, m, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7027445, 14054882, 21082319, 28109756, 35137193?\nAnswer: 42164630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkkfj. Give prob of sequence fkk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41489.2 rounded to the nearest 100?\nAnswer: 41500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 133*v**2 - 1740*v - 22472. Calculate i(-144).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d**3 + d**2 - 2*d + 1. Let i be p(1). Suppose -5*n + i = -q, -q - q = -3*n - 2. Which is smaller: 2\/41 or q?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i + 41. Let o = -6254 + 6263. Calculate h(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + 17*q + 4. Let f be n(-5). Is f >= -59\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*f**6 - 1682*f**5 + 3*f**2 + 30*f - 72 wrt f?\nAnswer: 840*f**3 - 100920*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 3556.\nAnswer: 14224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -107970 at least as big as -109428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 20*z = 469 - 497, 14 - 70 = 11*i - 5*z for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 806 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 l when three letters picked without replacement from hhhlwhl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 757933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -1\/3*z**3 - 3 + 0*z + 0*z**2. Let a(u) = 4*u. Let j(n) = -5*n. Let y(s) = 3*a(s) + 2*j(s). Determine y(m(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + -1)\/(-3) - -1. Let z be (-12)\/30 + (-2)\/(-5). Suppose -4*j + 4 = -i + 4*i, i = 2*j + 8. Solve z*v - i = t*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -7, -5, -2\/13, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3598301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 166 + -11. Suppose 2*h - 51 = b + 54, 3*h - b - i = 0. What is the greatest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89609411 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 8*g**2 + 8*g - 2. Let d be z(7). Solve d*r - 3*p = -15, 0 = -3*r - 7*p + 2*p - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -228273 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p + 570 + 2406. Let m(s) = 121*s**3 + s. Let l be m(-1). Let b = p + l. What is the highest common divisor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*k - 8. Suppose 2*o = 16 + k. Is o + 2 + 0 + 0 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*f = 15, -16 = u - 0*u - 2*f. Suppose -3*o = 15, o = -4*m - 2*o + 113. Calculate the remainder when m is divided by (u\/(-15))\/(4\/102).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 232 - 79 - 79 - 92 - 24*j**2 wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 42. Suppose 80 = -3*x + k. Let o = 57 + x. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 22 = -28. Suppose -2*c - v = -5*c + 29999997, -u*c - v + 50000003 = 0. Round c to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 4:32 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(-2\/7)))\/n**(-2\/3)*n**(3\/4)*n*(n\/n**4*n)\/n)**35)**(-30) assuming n is positive.\nAnswer: n**(625\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:37 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 171 - 168.03. Let w = c - -0.03. Let m be 12\/(-30) - (-22)\/30. What is the smallest value in w, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m**5\/4 + 245*m**4\/2 - 675*m**3\/4 - 425*m**2\/2 + 175*m + 90 = 0 for m.\nAnswer: -1, -2\/5, 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3573759930?\nAnswer: 2, 3, 5, 13, 181, 50627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 22*t**2 - 3*t + 61. What is v(22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 8 + 12 = 0, 3*b + 6 + 3 = l + 2*l + 11*l + 1 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*1*11*(-18)\/45. Let a be 24 + r - -1*6. Solve 0*k + 10 = 4*c - 5*k, 4*k + a = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5*((sqrt(22)\/sqrt(2) + -3 - sqrt(11) - sqrt(11)) + sqrt(11)))**2 + sqrt(44) + sqrt(11) + -5 + -4).\nAnswer: 12*sqrt(11) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h - h + 3*h)*(-3*h + 4*h + 0*h) + 6*h**2 - h**2 - 3*h**2 + 0*h**2 + 3*h**2 - 5*h**2)*(-4 + 3*h**2 + 4).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -30*t + 12. Let f be h(-1). Suppose -23*g = -16*g - f. Let b(s) = s + 11. What is the lowest common multiple of b(-5) and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 3*s + 2*w + 12, 0 = -2*w. What are the prime factors of 0\/28 - ((-1389)\/s + 1)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -3, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*f + 93 = 0. Let d = f + -1. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -5*y - 4*v, 69 = 2*y - v - 0*v. Let k = y + 40. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(2*t + 3*t**2 - 2 + 0*t**2 + 0*t**2).\nAnswer: -12*t**2 - 8*t + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h - 10. Let m be s(6). Suppose 0 = 6*a - m*a, 350 = 5*b - 5*a. List the prime factors of b.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105065 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 10:03 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4830444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 9*k**3\/2 - k**2 - 9*k\/2 + 1 = 0.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 338, 501, 660, 815, 966, 1113?\nAnswer: 1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {m: 4, b: 3, h: 1, e: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 195643908 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676*f + 213*f + 601*f = -46190 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1095*t + 30654 + 4386 = 0 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 + 5382*z - 130342. Calculate b(24).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2578594659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1392168.1 to the nearest 100.\nAnswer: -1392200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 10:13 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/b**(-1\/11)*b**(1\/5)*(b**(-7\/5)*b)\/b**5*b*b\/(b*b**(-2\/7)*b)*b*b**(-2\/5)\/b*(b\/(b\/(b\/(b\/(b\/(b\/b**(-3\/2))))*b)))\/b**(-4\/5) assuming b is positive.\nAnswer: b**(-2251\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -56, 2, -1 in decreasing order.\nAnswer: 2, -1, -2, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g + 33. Let n be r(5). Let q be 238\/(-8) + 1\/(-4). Let x be q\/(-4)*(-2)\/(-3). Solve n*m + y + 8 = 0, -6*y = x*m - y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 1. Let a(i) = 56*i + 24. Let v(r) = a(r) - 24*l(r). Let x(n) = -n. What is v(x(s))?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5462435?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7826614 minus 3828?\nAnswer: -7830442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 20*i - 28. Let m be h(7). Let u = 51 + -35. Calculate the highest common divisor of u and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3543 = 68*w - 5855 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**3 + 4*l**2 + 5. Suppose -48*r = -49*r - 5. Let y(f) = -7*f**3 - 5*f**2 - 6. Let q(x) = r*y(x) - 6*h(x). Let q(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from xxwxwwxwwxxxx?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -9 - (-4 + 2 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**6\/20 + a**4\/12 - a**3\/6 - a**2. Let t = -7 - -8. What is k(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/2139468709 or -1?\nAnswer: 3\/2139468709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*i + 11, 0 = 7*i - 9*i - 5*z + 1. Let f be 328\/28 + 2\/7. Suppose f*q - i*q = 1440. Calculate the highest common divisor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/(-5)*245\/(-14) is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/229? (a) -2 (b) 2\/5 (c) 5 (d) 3.8 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 918648 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24868 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 - 84.824.\nAnswer: -84.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3 - 60435*f**2 + 21*f - 7473154 wrt f.\nAnswer: 6*f**2 - 120870*f + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.212 times 8?\nAnswer: -9.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-2) + (-79 - -74). Calculate the greatest common factor of 259 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -91522404?\nAnswer: 1\/22880601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12447163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(1\/4))\/g*g)**(3\/7)*(g**(-2))**(-15))**20 assuming g is positive.\nAnswer: g**(4275\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 315 = -624. Let w = 520 - k. Let x = w + -1861\/9. What is the common denominator of -50\/3 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 1. Let z(p) = 2*p**2 + 7*p + 6 - p**b - 3*p. Suppose 2*w = 3*h + 4 + 13, -h - 9 = -4*w. What is z(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -19*n - 76. Let a be b(-7). Suppose 59*j - a*j - 2824 = 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 p(m) be the third derivative of m**4\/8 + 5*m**2. Let u(q) = 5 + q**2 + 5 - 10. What is p(u(s))?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 - 272\/(-64) - 4. Suppose o = -5*m - 12*m + 58361. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 424 and 84270.\nAnswer: 337080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 9169?\nAnswer: -3\/9169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 139593600.5 rounded to the nearest one million?\nAnswer: 140000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -50259, -100514, -150769, -201024?\n\"Answer: -50255*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41771948 + 41772046.000105. Let m = o - 98. Round m to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3712.833 months in years?\nAnswer: 309.40275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 8*v + 1 - 1 - 3 to g*v + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19\/6 + -5\/2. Factor -a*v**2 + 1\/3*v**3 + 4\/3*v**4 + 0 + 0*v - v**5.\nAnswer: -v**2*(v - 1)**2*(3*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*d**2 + 2 - 4*d**3 + 5*d**3 + 20*d**2 - 2*d**4 + d**3 to r*d + q + p*d**4 + c*d**2 + t*d**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**5*j\/j**5*(j\/j**(-4)*j)\/(j\/(j*j**3*j*j))*(j**(-1))**(-18)*(j**(-1))**(-23\/2) assuming j is positive.\nAnswer: j**(83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1974*a**2 + 148. Let t(h) = -6*h**2. Determine q(t(g)).\nAnswer: 71064*g**4 + 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/44 - 53\/11. Let f(h) = h**2 - 6*h - 8. Let y be f(6). Sort 4, y, n in decreasing order.\nAnswer: 4, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**7\/42 + 603*d**5\/20 - 1219*d**4\/12 - d - 9. What is the third derivative of r(c) wrt c?\nAnswer: 60*c**2 + 3618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -1493203\/82194 - -2\/13699. What is the common denominator of g and 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*o - 4. Let a be (-1 + 1)\/(-1 + o). Suppose 5*j - 85 + 12 = 3*b, -5*j + 4*b + 69 = a. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 129 and 1?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 3*m**4\/4 + 11*m**3\/6 - 5*m. Find the second derivative of v(f) wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 12:27 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 894573*n**4\/8 - 9*n**3\/2 + 10*n**2. Let u be f(11). Suppose -7120882 = -2*c - u. Round c to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -45\/2. Let v = 32 + 11. Let i = 43.2 - v. Which is the closest to t? (a) 4 (b) i (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 19*g + 12. What is b(17)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 - a + a + (-466*a**2 + 65499*a - 65499*a)*(2*a + 0 + 0) to n*a + t*a**2 + q + h*a**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 10:12 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16.482 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from scsssscsssssssscsc.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3275, 6944, 10613, 14282, 17951?\n\"Answer: 3669*z - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-146 - -39) + 212 + (0 - 27).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -350 + 330.9. What is r rounded to 0 decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -50*p + 1261. Let v be a(26). Let j(l) = -31*l - 1204. Let y be j(v). Factor -2\/9*w**2 - 2\/3*w**4 - 2\/3*w**3 + 0*w + 0 - 2\/9*w**y.\nAnswer: -2*w**2*(w + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2478.021 - -2477. Let n = 0.209 - i. Are 2\/5 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 2*h**2 + 2*h - 1. Let n be v(2). What is the derivative of -3*i**2 + n + 4 - 10 wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4))**(-4\/11)*m*(m\/(m**2\/m))\/m*m**(2\/5)*m)**46 assuming m is positive.\nAnswer: m**(7222\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751*n + 760*n = -72 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -128 + 160. What is the hundreds digit of (-10387)\/n + (-192)\/512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42728 is divided by 42598?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**7\/7 - 3*m**6\/5 - 63*m**3\/2 - 468*m. Find the second derivative of t(u) wrt u.\nAnswer: 120*u**3 - 216*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 97223*r**6\/120 + r**5\/12 + r**4\/6 + 2*r**3 + 19*r**2. Let k be a(-6). What is k rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3) + (512\/(-40) - -12).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8306 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(119)*-1 + 3*sqrt(119)*5)\/(sqrt(343)*-5 - sqrt(343) - sqrt(35)\/(sqrt(5)*-5)))**2.\nAnswer: 83300\/43681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 2:45 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -175 - -179. Suppose 34 = 4*v - t*l - 14, 4*v = -5*l + 30. Let x be (-605)\/(-20) - (-1)\/(-4). What is the highest common factor of v and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u + 3*u = 0. Suppose -b = b - m - 8, u = -b - 5*m + 4. Solve 3*z - 12 = -y, 0 = 4*y - 5*z + 41 - b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3905 - -3908. What is the fourth biggest value in 106, -0.1, m, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 = 1240\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3904*u + 19524. Give q(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10300 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -8. Solve 2 = k*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 5\/2 (b) 0.1 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1189*n**2 - 2607*n + 6. What is the thousands digit of b(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*g + 5 - 23*g + 9*g + (-2 + 3 + 1)*(-44*g + 18*g - 17*g).\nAnswer: -87*g + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*p, -13*d + 5*p + 47 = -10*d. Let a be 80\/(-128) + (-981)\/(-72). Solve -d*v = -a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 68*g**3 + g**2 + 86*g**3.\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.837484 decades in months?\nAnswer: 580.49808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 40*f**2 - 100*f**2 - 3*f**3 + 45*f**2 + 4*f**3 - 11 - 33*f. Determine d(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from jwwnwwnwwnwlnqnwqnln.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*v + 12. Is 2535\/v + 3\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -0.2, 13\/154, 5.4, 0.5?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.044 + 0.944. Which is the nearest to -3? (a) w (b) 2\/11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 117*u + 682. Calculate z(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -359988 - -359996. Let g be 0 + -2 + 1*-3. Let q(k) = -k**2 - 6*k - 1. Let y be q(g). Solve 2*v = 5*t - 28, 2*v + 32 = y*t + c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s**2 - s**5 - 8*s**2)*(-1 + 1 + 1)*(-12 - 9 + 0).\nAnswer: 21*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5.620483 milligrams?\nAnswer: 0.000005620483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -104206921875*x**2 - 24601500*x - 1452 = 0.\nAnswer: -22\/186375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -9. Suppose -4*q - s = -1, q + n*s = 2 + 12. Is (0 - q)\/(2\/154) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150763282 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-126)*-54)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 175555.98 months?\nAnswer: 146.29665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is bcb906 (base 13) in base 2?\nAnswer: 10000111111000100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/2)\/((-2)\/4). List the prime factors of 3144\/k - ((-135)\/35 - -4).\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -414 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-130))\/(451\/(-4510))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27900 and 5550.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -a3?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - -56555?\nAnswer: 56566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*h + 354 - h**3 - 354)*(-3*h + 2*h - h) to the form y + f*h**4 + o*h + i*h**2 + s*h**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 76?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 539, 538, 537, 536?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54910600 and 1000.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -40*l + 3. Let y(w) = -939*w**2 + 2*w + 2. What is k(y(z))?\nAnswer: 37560*z**2 - 80*z - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -221221.2?\nAnswer: 1106106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466978 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22391 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -384 less than -10.17642707?\nAnswer: 373.82357293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.3 + 4.3. Let c = q + 27.088. What is c rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 100394\/(-13 + 27). What is the highest common divisor of 101 and r?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 6*p - 5. Let g(k) = -2*k**3 + 12*k - 9. Give 3*g(t) - 5*h(t).\nAnswer: -t**3 + 6*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -2\/7*u**2 + 0 - 4*u - 1\/21*u**4 - 4\/21*u**3. Factor f(a).\nAnswer: -4*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2089 + -864. What is the nearest to n in 1, -0.2, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 673 + -664. Which is greater: -6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7191766738 from -0.03.\nAnswer: -7191766738.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 133?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 16. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 5:07 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqqqqyaqoqyqaa. Give prob of sequence yaq.\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Let k(b) = b + 2. Let v be k(l). Solve 2 = -0*c + v*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 0.2 (c) -0.048 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2 = -3, -4*x = -r + 134. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -47*u + 1. Suppose 5*s = -2*b - 4, 3*b - 4*s - 1 = -7. Let p be y(b). Let n = p + -57. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 10*f**2 - f + 8. What are the prime factors of w(-11)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*o + 8. Suppose -o*i = -27 + 7. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55964903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264475, 264476, 264477, 264478, 264479?\nAnswer: 264480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 6*p**2 - 4*p. Calculate f(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/(408\/64)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/10*-42*199\/(-2985).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 364650 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 22. Let w be (h\/10)\/(3\/10). Suppose u = w*u. Solve -r + 2 - 3 = u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 180*b**2 + 2715*b + 196. Calculate f(194).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from teetttettettmeetet.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25904129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1040a (base 12) to base 13\nAnswer: -9922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-192 + -31)\/((-1)\/13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.585 from -0.39.\nAnswer: 0.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 790567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9432, 18888, 28364, 37860, 47376, 56912, 66468?\nAnswer: 76044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1003 + 381 = -3*x, x = -c + 311. Let h = -208 + c. Is h 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 ggggggguu. Give prob of sequence uu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -186*i - 639. Let n be x(-6). Calculate the greatest common factor of n and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, 17, 18, 13, 2, -15, -38?\n\"Answer: -3*a**2 + 16*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -78 at most as big as -6958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 7:59 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 6:52 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 13) to base 16\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**7\/42 - i**5\/3 - 21*i**2. What is the third derivative of y(g) wrt g?\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/9))\/(n\/((n**(-20)*n)\/n))*(n*n*n*n\/((n**(2\/7)\/n)\/n)*n)\/n**(-2\/9) assuming n is positive.\nAnswer: n**(-809\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**14*m*m*m**(2\/7) assuming m is positive.\nAnswer: m**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101513.958 - -101419. What is g rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/9 - 426808*s\/9 = 0. What is s?\nAnswer: -426808, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/42660464 and -59\/2423890.\nAnswer: 213302320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and 0.56942?\nAnswer: 0.0398594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*t - 55, -5*t + 49 = 3*v - 0. Solve -2*n - t = -l, 4*n - 9 = -3*l - 25 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -832177.\nAnswer: 832177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, y: 1, z: 1, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1088) - (-4*(sqrt(1088) - (sqrt(1088) - (-1 + sqrt(1088)))) + sqrt(1088))) + (sqrt(2448) + -4)*5)**2.\nAnswer: -4416*sqrt(17) + 144465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z + 200. Calculate the remainder when z is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*-1*4\/10. Let j be i\/(-8) - 903\/(-28). What is the highest common factor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.7 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 1785 = 4*t, -4*c = 3*t + 1332 + 96. Let f be 2\/6 - (-17)\/c. What is the nearest to 0 in f, 3, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 460 - 78 + 146 = -12*w - 52*w, m - 6*w = -7*w - 16 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 289 + -281. Suppose 17*k - 9 = g*k. Solve 10 = -3*j + k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) -11 (c) -5\/2 (d) 0 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 12:48 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -755 divided by 2\nAnswer: -755\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 1, h: 2, y: 1, n: 1, r: 1}. What is prob of sequence ro?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81671\/18 + 4535. Find the common denominator of -149\/5334 and p.\nAnswer: 16002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -7. Suppose -5*q - 13 + 43 = t. Suppose -i = -q*i + 15. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 197828\/9 + -21977. Which is the closest to 0? (a) -2\/7 (b) 4\/3 (c) r (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59.57 + 7324\nAnswer: 7264.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3 - 6*h**3 + 0*h**2 + 0*h**3 + h**2. Suppose -3*u = 2*r - 12, 0 = -4*r - u - 3*u + 24. Let n(d) = 7*d**3 - d**2 + 4. What is r*w(m) + 5*n(m)?\nAnswer: -m**3 + m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l + 1. Determine v(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 312, 415, 516, 615, 712, 807?\n\"Answer: -j**2 + 106*j + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6960)\/(-96)*364\/(-910).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 - 2*j - 1. Let q be r(-1). Let d = -1 + q. Let k = -2 + d. Solve w = -k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -3\/16, 0.2408, -6, -1?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -19*k - 424. Give w(-19).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w - c = -1, -c + 11 = -4*w. Suppose -3*m = 28 - 82. Let x be w\/(-9) + 140\/m. Solve 2*a + 2 + x = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58995631 to the nearest integer?\nAnswer: 7681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r - 203. Is r 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 185077603?\nAnswer: 499, 370897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, o: 6, l: 11}. Give prob of sequence otl.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**5 - 46*h**3 - 60*h wrt h?\nAnswer: 20*h**3 - 276*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -34. Let a = 14 - r. Suppose -2*k - 3 = -33. What is the remainder when k is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1907318, 1907316, 1907314, 1907312, 1907310, 1907308?\n\"Answer: -2*j + 1907320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5163*h = 86583 + 15306 + 1371 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, 2\/9, 2\/5, -3, 2617\/2 in descending order.\nAnswer: 2617\/2, 143, 2\/5, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**2 - 195*n + 1562. Give r(17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) -0.4 (c) 2\/6655 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(-3*z - 7*z - 9*z) - 2*z + 3*z + z.\nAnswer: 59*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -6 - -20) + (-6043 - -5994).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 419475 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2709631 is divided by 1354531?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 3*b + 45 = -15*l, -2*b - 8 = 0. Calculate the highest common factor of 759 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227710 is divided by 2211.\nAnswer: 2188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -14. Let f be (-81)\/(-15) - 4\/b. Let s(k) = k**3 - 5*k**2 + 4. Determine s(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/59527490 and 29\/89291235.\nAnswer: 178582470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61149132*k**3 - 120683257*k**2.\nAnswer: -366894792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -408160, -816326, -1224482, -1632628?\nAnswer: -2040764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*f)*(0 + 0 + 3)*(2 + 3510*f - 273*f**2 - 3510*f).\nAnswer: -2457*f**3 + 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5*(-190)\/228. Is -8975 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1 + -12 - (14 - 20)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -78\/101 in 0.04, -3\/2, -0.3, -1\/34?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 354 - 1040056?\nAnswer: -1038602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -17. Let f(g) be the third derivative of 0*g + o + 0*g**3 + 1\/6*g**4 + g**2 + 1\/60*g**5. Find the second derivative of f(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 559\/(-91) - 6\/7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -72, 290, 1414, 3720, 7628, 13558, 21930?\n\"Answer: 70*x**3 - 39*x**2 - 11*x - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*p**3 - 1 + (-2*p**2 + 0*p + 0*p)*(1 - 1 + 2*p) + 2*p**3 - 3 + 3 + (-4 + 4 + p)*(-2*p**2 + 3*p**2 + 0*p**2))*(-2*p + 8*p**2 + 2*p).\nAnswer: -24*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -400100 (base 5) to base 12.\nAnswer: -72b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 23.49845 millennia?\nAnswer: 2349.845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -347*a**2. Let w(g) = -189*g + 12. Let t(s) = 110*s - 7. Let z(l) = -12*t(l) - 7*w(l). Determine z(n(y)).\nAnswer: -1041*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 8*m + 26. Let u be l(6). What is the units digit of (u*(-14)\/8 - -4)*120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54352223*a**2 + 5532886*a wrt a?\nAnswer: -108704446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/(-6))\/((-449)\/1347)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*h - 11. Let f = 2 + 2. Suppose -4*a - 5 = -h*d, 2 = f*d - 2*d - 4*a. Calculate the highest common factor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -133, 0, -2455 in descending order.\nAnswer: 0, -133, -2455","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/123323984 and -33\/1573010.\nAnswer: 616619920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 8:11 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*k - 1 = 0, 4*k + 24 = 4. Let o = x - -1. Differentiate o*j + 3*j + 2 - 7*j + 4*j**2 wrt j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7554*z - 1. Let h(d) = 2*d. Give h(v(b)).\nAnswer: -15108*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.42 + 0.02. Let z = -1 - -5. Let n = z - 7\/2. What is the second biggest value in g, -1\/6, n?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -8*j**2 + 453*j - 3721. Give k(47).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 2378009296?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18281807309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w**2 + 28. Let y be p(0). Solve -y*j + 26*j - 2*t - 2 = 0, -2*j - t = -2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*c + k = -138*c - 1, 2*c - 5*k = 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.9127 * 0.4\nAnswer: -0.76508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a factor of 101143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 8*i - 0. Solve -i*q + 1 = 4*a - 5*a, 0 = 5*a + 4*q + 33 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21894047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 22 = 5*o, 3*o = t - 0 + 3. What is the greatest common factor of o and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - c - 20 + 0 = 0, -2*c = 2*z + 4. Suppose z*d = -3*o + 5*o - 2365, 3*d = -15. What are the prime factors of o?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v + 4*k = 25*v + 12, 0 = -3*v - 5*k - 1. Let w(z) = 5*z**2 + 2*z. Determine w(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 100 = -3*m - 4*g, -4*m + 142 = -2*g. Suppose -5*h + 3*x = -66, -5*h + 26 = -3*h - x. Calculate the remainder when m is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**7\/5040 + r**5\/12 + 10*r**2. Let i(z) be the third derivative of w(z). Let m(k) = -27*k + 50317 - 50317. What is m(i(d))?\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 12, 25*g + 4*j - 13 = 26*g. Is 5 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 0 - 0)*1. Let f be 4\/3*l\/(-2). Let p(o) = -3*o**f + 4*o + 7*o**2 - 3*o. Determine p(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, g: 1, o: 5, v: 10}. Give prob of sequence vov.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m - 88 + 28 = 0, 5*n - 6 = -4*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*m + 2, 4 = 4*m + 4*p - 0. Let w be 550\/5*m*(-6)\/(-15). Let o = -6 + w. Calculate the remainder when 72 is divided by o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 1:19 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**5 + 0*q**5 + 0*q**5 + (2*q - 2*q - 15*q**2)*(2*q**2 - 2*q**2 + q**3).\nAnswer: -19*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*n - 5*b, -8*b - 508 = 2*n - 574. Let w = -271 - -381. What is the smallest common multiple of n and w?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -5998?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1392*t - 1392*t - 50639*t**3.\nAnswer: -50639*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 9*y - 33. Let q be b(-12). Let v be -5*14\/(-10) - q. Calculate the greatest common factor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15545 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 8 = -3*l, 15 = 5*u + 5*l. Suppose -74 = -5*y + 26. Let m = u - y. Is m not equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -74421 + 2*g - 74435 + 148875. Let w(l) = 4*l + 37. Calculate 5*b(n) - 2*w(n).\nAnswer: 2*n + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Let d(r) = r**3 + 10*r**2 + 15*r - 12. Let o be d(-8). Let p(x) = x + 12. Let w be p(o). Solve -6*l = -m*l + w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (93\/(-62))\/(60\/4)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018179.\nAnswer: 3, 113131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*r**3 + 69*r**2 - 9*r - 69.\nAnswer: 3*(r - 1)*(r + 1)*(3*r + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-28) - -2)\/((-2)\/(-24))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11180 divided by 4\nAnswer: -2795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 8*x = -x. Put 4, x, -3 in descending order.\nAnswer: 4, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5)**(2\/7) assuming a is positive.\nAnswer: a**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13, 0.14, -0.3, -72, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119664 and 508572.\nAnswer: 2034288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 393065681.94356314288098 - -948.05643686711902. Let n = x + -393066632. Let i = n - -2. What is i rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1280)*2 - sqrt(20))\/(5*(sqrt(40) - sqrt(10))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 6\/5, 1 in descending order.\nAnswer: 6\/5, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1156 less than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u\/(u\/(u\/(u**7*u))))**30*u**9*u\/(u*u**(2\/9)) assuming u is positive.\nAnswer: u**(-1001\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/5 + r**2 + 13*r\/5 + 7\/5 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*1 - sqrt(162))**2*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27803131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -186 - -129. Let j = -56.999946 - n. What is j rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9823869 by 31.\nAnswer: -316899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 446474?\nAnswer: 446476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-4)\/12*3\/26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 15. Let m be p(0). Let q(c) = c**3 + 25*c**2 + 20*c - 100. Let d be q(-24). Sort 5, d, m.\nAnswer: d, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvncnlnrncnwvcc. What is prob of picking 1 n, 1 r, and 2 c?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/284 and 47\/20000240.\nAnswer: 1420017040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.793097 less than -557248?\nAnswer: -557249.793097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 t when three letters picked without replacement from {r: 6, t: 12}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*m + 6, -34 = -5*z + 5*m + 1. Calculate the smallest common multiple of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-nine quarters of a minute?\nAnswer: 735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9)\/((-30)\/(-36))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0 + 6. Suppose 3*b - 2*c = 290, -b - p*b + 298 = -4*c. List the prime factors of b.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40.4 - 40. Let u = 143\/3 - 48. Which is the nearest to u? (a) s (b) -1\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23129.8 * -2.\nAnswer: -46259.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -816 - -824. Sort -0.3, 2, c.\nAnswer: -0.3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 2*v + 4. Let k be v\/(-3) + ((-6)\/9 - -4). Suppose -5*o = 2*l, 5*o = -5*l + 4*l. Solve o = 5*b - k*q + 8, -4*b - 39 = 5*q - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*n**3 - 85*n**2 + 22*n + 871.\nAnswer: -30*n**2 - 170*n + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 91 + 17. Suppose -2*s - 3*y = 171, y = -4*y + 5. Let c = -60 - s. What is the greatest common divisor of n and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 8*i**2 + 44*i - 28. Let d = 15 - -11. Suppose -4*h = -d + 10, -68 = -5*r - 2*h. What is the remainder when m(-12) is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -873 - -1391. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785883 is divided by 1578.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3*f**2 - 3 + 3.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-325)\/(-15) + (-2)\/3. Calculate the highest common divisor of 105 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/19 + 3105\/437 - 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 12 = -0*h. Which is bigger: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*n, -3*n = -j - 4*n + 9. Suppose 3*s - 4 = -s. Suppose -q + j = s. Solve -30 = -q*f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z + z**2 + z - 6*z - 5*z + 6. Calculate the remainder when n(11) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7050, 7052, 7054?\n\"Answer: 2*a + 7048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124065 and 396.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 900 and 199 + -2 - (-24 - -21).\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (4 + -4 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21164651 or -21164650?\nAnswer: -21164650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1209, -1120, -969, -726, -361, 156, 855?\n\"Answer: 5*i**3 + i**2 + 51*i - 1266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226558 is divided by 75005?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (82\/(-4))\/(10\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*j - 2. Which is smaller: -6 or j?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x - 2*x + x)*(611*x + 5*x + 968*x) in the form h + u*x**2 + n*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -692 - -982. Calculate the remainder when g is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -101, -215, -375, -581, -833?\nAnswer: -1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*h - 46*h + 141*h - 49*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-694)\/10 - 16\/(-40). Suppose 8*w - 157 + 173 = 0. Sort n, -4, 2, w in descending order.\nAnswer: 2, w, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (416\/1456)\/(2\/1834) is divided by 84.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011100 - 0?\nAnswer: -110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 1\/7*o**5 - 5\/7*o**3 + 4\/7 + 1\/7*o**2 - 1\/7*o**4 + 8\/7*o = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*a = -0*a + 90, 0 = i + 5*a + 10. What is the remainder when 29 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -393421.58 and -0.5.\nAnswer: -393422.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14029213 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b + 3*b + 6*b. Let r(j) = -2*j. Let g be (-28)\/35*30\/4. Let i(m) = m**3 + 7*m**2 + 4*m - 1. Let a be i(g). Give a*r(t) + 4*l(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -145 - -283. Let o(t) = -t**2 + 18*t - 45. Calculate the remainder when m is divided by o(10).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = n - 2*n. Let y be (-2)\/5 - (-96)\/15. What is the highest common factor of n and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.15 + 0.15. Which is the smallest value? (a) 0.2 (b) l (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 324963.1l?\nAnswer: 324963100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2021143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = -p, p - 6 = -3*u - 2*p. Let f be u + -1 + (-2)\/(-3). Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38978, -76665, -114354, -152045, -189738, -227433?\nAnswer: -265130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + 0*t**2 + 0*t**2 + (-472*t**2 - 215*t**2 - 57*t**2)*(2*t**2 - 2*t + 2*t).\nAnswer: -1490*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -69. Let s = 110 - 113. What is the nearest to 0.01 in s, -4, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 977712187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 7*q**3\/3 + 31*q**2\/2 + 12*q - 82. What are the prime factors of v(-8)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5 = 4*l - 5, -4*s = -3*l - 5. Suppose 0 = -3*x - m + 1 - 4, -l*m = -x - 1. Put 4, x, 5, -5 in decreasing order.\nAnswer: 5, 4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkmmkrrgysmkky. What is prob of picking 1 y and 1 m?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4215, 15942, 35171, 61902, 96135, 137870, 187107?\nAnswer: 243846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3103 + 3183. Let v be (-1083)\/(-6) - 2\/(-4). Let h = v - a. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -477.2529382 rounded to 0 dps?\nAnswer: -477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 8. Let q(s) = s + 1. Let u be q(-6). Let j be l(u). Let o(d) = 2*d**2 - d - 2. Calculate the remainder when o(j) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*b + 4, -5*l - 3 - 7 = -5*b. Find v, given that -2*v**2 + 3*v - b*v**2 - 2*v**2 + 3 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 12. What is the closest to 1\/4 in -1, -2\/13, l?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**3 + 70*l + 39. Let z(s) = -3*s**3 - 61*s - 37. What is 6*h(r) + 7*z(r)?\nAnswer: -3*r**3 - 7*r - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**2 + 1129*s - 965319. What is k(370)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78618?\nAnswer: 2, 3, 13103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:26 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1174, 2654, 4414, 6448, 8750?\n\"Answer: -x**3 + 146*x**2 + 1049*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 766688.7 years to millennia.\nAnswer: 766.6887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-14)*(-8)\/(-27).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29, -8, -181, -580, -1295, -2416, -4033, -6236?\n\"Answer: -15*t**3 + 22*t**2 + 2*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 124 = 5*s - 83, s + 9 = -p. Which is the nearest to p? (a) 3 (b) 0.07 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.03132nm in millimeters?\nAnswer: 0.00004703132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -34*d - 5\/12*d**3 + 1\/120*d**5 - 1\/36*d**4 + 0*d**2 + 0. Factor o(s).\nAnswer: s*(s - 5)*(s + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (4*sqrt(448)*1 - 6*(-1 + sqrt(448) - sqrt(448) - sqrt(448))) + 1)**2.\nAnswer: 480*sqrt(7) + 44809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*c + 2*a, -2790*c + 2794*c - 2*a = -12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33.44 - -20.07. Round w to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 9*y - 21. Let o be j(-3). Let r(l) = -l**2 - l - 2. Give r(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -156?\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**5\/20 - 7*h**4\/12 - 5*h. Let u be s(-7). Let a = 4 + u. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 7\/30*p**5 + 1\/12*p**4 + 0*p - 17\/3*p**3 + 0 - 1\/120*p**6 + 21*p**2. Let k be l(14). Let w(s) = s**2 + 6*s - 2. What is w(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1.1. Let l = 5.1 + k. Let i = 0.332 - -1.668. What is the closest to i in 0, -0.1, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 736*t**2 - 731*t**2 - 2241*t + 4480*t - 2239*t.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25494 at most 1606100\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -14. Let p be ((-25)\/w - 3)*1786. Let z = 253 + p. Round z to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**3\/3 - 6*t**2 - 15*t - 169. Let v = 1 + -11. Give w(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 - 45*p - 22. Give j(16).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22338, 22335, 22334, 22335, 22338, 22343, 22350?\nAnswer: 22359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -87850 divided by 5?\nAnswer: -17570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 - 4*d + 4*d)*(2*d**2 + d**2 - 2*d**2) - 3*d**3 - 4*d**4 + 2*d**3 + 2*d**4 + (-83*d**3 - 87*d**3 + 226*d**3)*(-2*d + 4*d - 5*d).\nAnswer: -173*d**4 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.13 + -4.87. Let j = 10.9 - 11. Let p = -391 + 2743\/7. Which is the closest to j? (a) 2 (b) p (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-1\/3)))**(-48)*u**9*u*u**(-1\/3)\/u assuming u is positive.\nAnswer: u**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 77*i - 102 - 108. Solve -651*h + 649*h + i = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -9*t + 12*t + 5*t. Suppose -20 = -3*r - 2*r. What is the greatest common divisor of t and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -3. Let z be 6 + (1 - 3) + 2. Suppose 8*y - 28 = -z*y. Put r, 4\/5, y, -1\/9 in increasing order.\nAnswer: r, -1\/9, 4\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*r - 1947, 0*r + r + 471 = -5*y. Let z = r - -484. Let a(u) = -3*u + 5. Let h(p) = -2*p + 2. Calculate z*a(n) + 5*h(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/12*(-88)\/(-330)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**5*n)*n)\/n)**(6\/13)\/(n**(1\/5))**6)**18 assuming n is positive.\nAnswer: n**(-4104\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-2 + 5\/2). Let s = 2 + -4. Let i be 21\/12 - s\/8. Are i and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 28 (b) -3 (c) -1.6 (d) 2\/13 (e) 0.1 (f) 1\/4 (g) 1\/16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -15*l**2 - 3*l + 7. Let b(g) = -163*g + 71. What is b(y(k))?\nAnswer: 2445*k**2 + 489*k - 1070","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16919, 16891, 16839, 16757, 16639?\n\"Answer: -m**3 - 6*m**2 - 3*m + 16929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 98 + 104 = 0. Suppose -3*b = c - b - 73, c = u*b + 98. What is the remainder when c is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 3*q - 7414 = 8*x, 14818 = 2*x - 4*q. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311252131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 5*w + 28 = 0, 12*x - 3*w + 18 = 9*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 366*g + 1.\nAnswer: 366*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 22*u = -334840000. Round u to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15660 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4021, 4015, 4007, 3997?\nAnswer: 3985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/18 and -83\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 352 and -5.0537.\nAnswer: -1778.9024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = 3. Let k be ((-9)\/18)\/(l\/6). Suppose 4*o - 16 = -0. Solve j + o = k*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -8*w**3 + 2*w**2 - 2*w + 1. Let p(s) = -2 - 7 + 3 + s. Let u be p(7). Give r(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -687 + 2447 + 1126 = 111*r for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/13849?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21286 and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {m: 1, j: 1, o: 3, u: 3, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.9 - -7. Let i = 2.4 + 0.6. Let a = -29 - -27. What is the nearest to v in -0.4, a, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k + 17. Let o be q(8). Which is the closest to o? (a) -4 (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -75950000 rounded to the nearest one million?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -395615, -791274, -1186979, -1582730, -1978527?\n\"Answer: -23*v**2 - 395590*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3063 is divided by 414?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -367*p + 2. Let a(b) = 2*b**2 + 185. What is a(i(t))?\nAnswer: 269378*t**2 - 2936*t + 193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 74 - 12*o**3 - 28 - 22.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21578.68 + 354.68. Let x = b + 21021.06. Let o = x + 199. Round o to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1901 or -11399\/6?\nAnswer: -1901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 646800 to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29850034 to the power of 1\/2, to the nearest integer?\nAnswer: 5464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19976896 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(1792\/42)*4)\/(-15)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v + 16*v - v.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 39*i + 88*i - 3088 = -298 for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 5*n**2 - 9*n**2 - 4.\nAnswer: -4*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30194.59 minutes to nanoseconds.\nAnswer: 1811675400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -24, 1\/7, 757, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/423 and 143\/4608?\nAnswer: 216576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986352 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5938, -11824, -17666, -23470, -29242, -34988, -40714, -46426?\nAnswer: -52130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/10931 + 1322615\/196758. Let n = -173977\/56630 + 3\/4045. Find the common denominator of o and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1019*z + 159. What is the tens digit of m(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 16*a**2 + 2*a**2 - 2 - 5*a - 19*a**2 + 11*a + 0*a**2. Let d = -8 + 13. Let h be c(d). Sort h, 1, -2 in descending order.\nAnswer: h, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 15 = -3*h + 25, -u - 9 = -2*h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 13*l**4\/12 + 3*l**3\/2 - 2*l**2 - 2*l. Let q be h(9). Round q to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -2\/19799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 10*r**3 - 16*r - r**3 + 2 + 0*r**3 - 15*r**2. Let p(s) = s**2 + s + 1. Let i(h) = -6*p(h) - t(h). Determine n so that i(n) = 0.\nAnswer: -1, 2\/3, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 80*k - 28*k - 39*k to u*k + y and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 16 + 2)*(-3*a + 4*a - 3*a)*(-16*a**3 - 24*a**3 + 8*a**3) to the form z*a**3 + j*a**2 + g + t*a + q*a**4 and give q.\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 599482 divided by -62\nAnswer: -299741\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 72*q. Let d be g(5). Suppose 688 = 186*z - 242. Suppose -z*x = 4*x - d. Which is smaller: x or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/8 and -179\/25620?\nAnswer: 51240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + u - 48 = 0, 0*w - 3*u = -4*w - 40. Let t = 0 + w. Let r = 20 + t. Solve -5*a + 6 = x, 3*x - r = -4*a - 0*x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2337 - 2337. Solve j = -22*h - 8 - 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/98424649 or -1?\nAnswer: -2\/98424649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p + 14. Give t(10).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 185 - 31. Is g at most as big as 154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 less than 310.79?\nAnswer: -3.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, 49, 194, 531, 1138, 2093, 3474?\n\"Answer: 13*w**3 - 21*w**2 + 3*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10011001111101111011?\nAnswer: 10011001111101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34113.\nAnswer: 3, 83, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55519?\nAnswer: 59, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 22550200 to the nearest ten thousand.\nAnswer: 22550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*b + 7. Let c be (-3 - (-246)\/72) + (-1)\/b. Put -3, 0.1, c in decreasing order.\nAnswer: c, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 860233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6368 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8413 (base 12) in base 8?\nAnswer: -34117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 3*d. Suppose -403*c + 263 = -123 - 17. Sort d, 4, c, 3 in decreasing order.\nAnswer: 4, 3, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -5\/24*n**4 - 17\/2*n**3 - n**2 - 9*n + 0. Differentiate k(h) wrt h.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 12*y + 33. Determine t(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2106649475?\nAnswer: 5, 7, 12037997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30 and (-4 + (-36615)\/(-9155))*(-45)\/3.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 577+-0.08\nAnswer: 576.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 3 - 88\/2. Let t = 347 - 305. Let f = q + t. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 126 + 117 = 251. What is the remainder when 3750 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5 + 25 = 2*a, -a - 5*c + 31 = 0. What is the smallest common multiple of a and 0 + (1 - 2) + -3 + 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*7\/18*100\/350?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 9:31 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -712865964029649.20000057 - -712865934704011.2. Let h = 29325639 + c. Let k = h + -1. What is k rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24449, -22326, -18787, -13832, -7461, 326?\n\"Answer: 708*b**2 - b - 25156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -289*u + 297*u - 46800. What is u rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-80))\/((-14875)\/4760)*(-20)\/24?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 241215*d**2 - 4*d - 241219*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 19 - 5 = 3*m, -m - 19 = -5*c. Calculate the remainder when 14 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntrn when four letters picked without replacement from tttrrrnhntr.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 3:05 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 14. Let h be s(-11). Let j be 162\/(-45)*1\/h. Determine c so that 4\/5*c + j*c**2 + 0 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82205 minus 0.7?\nAnswer: 82204.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-70)\/(-100)*8\/14)\/((-76)\/285). What is the closest to 1 in r, 2\/33, 17?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - 101 - 344 = -151 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6.6 * -0.3\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5)\/k)**(13\/5))**(-2\/73)*(k\/k**(-1))**(13\/4)\/(k\/((k**0\/k*k)\/k))**(-11\/5) assuming k is positive.\nAnswer: k**(40149\/3650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 319934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y = 7*y + 1485. Let v = y - 128. Suppose 10*l - 16 = 8*l. Is l bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 1316.2, 1\/3.\nAnswer: -0.6, 1\/3, 1316.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -95674 (base 10) to base 3\nAnswer: -11212020111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -295 or -294?\nAnswer: -294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19, 28, 23, 10, -5, -16?\n\"Answer: l**3 - 13*l**2 + 41*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2. Let h(w) be the second derivative of 3*w**4\/4 - 4*w. Let a(q) = 4*q**2. Let t(s) = -13*a(s) + 6*h(s). Determine t(d(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q = 60. What is the units digit of (q - 3\/(-1)) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k**(3\/4)*k))\/(k*k**(-1\/2)\/k))**(-1\/34)*(k*k\/k**(-6)*k)\/(k\/((k\/(k\/((k*k**(-4)*k)\/k)))\/k*k*k))*((k**(2\/7)*k)\/k)\/k**(-3) assuming k is positive.\nAnswer: k**(8791\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-7 - 2) - 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 12*j + 18. Let g be v(-13). Suppose 5*n = 3*h + 20, -6*n = -g*n - 5*h + 18. Solve 2*b + l = -n, -4*b - 3*l + 6*l - 29 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (133151892\/18)\/((-4)\/(-6)). Let u = y + -2995991. What is u rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -98 (b) 0 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4979701 - 0.498. Round a to 6 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w - 3. Let d be a(5). Let x be (-3 + 2)*(-2 - 0). Solve -3*f - f = -x*z - 12, -3*f + d = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-8) + 96950\/200.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + (6 + -3)\/(-1). Let d be r\/28 + 16\/14. Determine n so that -4\/7*n**3 + d*n**4 - 2\/7 - 2\/7*n**5 - 4\/7*n**2 + 6\/7*n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nine tenths of a millennium?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.9 - -9.9. Which is greater: s or 10.6?\nAnswer: 10.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, -0.072, 4, -1?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11103432431 + -1?\nAnswer: 11103432430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88098.92 centuries to years.\nAnswer: 8809892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 1861 - 1049. Suppose p - k = 5*l, -5*l - 1355 + 410 = -2*p. Is 46 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209895982 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/68 + 13\/17. Let g = 7 + -12. Let o(z) = -z. Let d be o(g). Which is the nearest to 1? (a) d (b) -0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 438268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*j - 1 = -4, 5*o - 18 = -2*j. Suppose -o*c = 18 - 86. Let x = 63 - c. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 30533592004?\nAnswer: -30533592003.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*b**3*n**2*s**2 - 11*b**3*n + 7*b**2*n**3*s + 3791*b*n**3*s**2 + 18*b*n**3 + 7*b*n**2*s - 2*b wrt s.\nAnswer: 52*b**3*n**2 + 7582*b*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**6\/240 + 7*k**5\/80 - 9*k**4\/32 - 100*k**2 + 2*k. Determine q so that i(q) = 0.\nAnswer: 0, 3\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 146, 210, 268, 320, 366, 406?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486 = a + 4*a - 2*b, 0 = -5*a + b - 483. Let n be ((a\/(-20))\/6)\/(-2). Is n at least as big as -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64.1 - 5.1. Let l = -82 + b. Let a = -23.00000084 - l. What is a rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2870865 is divided by 358817?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 55*j + 2151. What is o(36)?\nAnswer: -1125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -935 = -163*v + 162*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 1:44 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*a)*(-a + 2 - 2) + 2*a**2 - 4*a**2 + 0*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 900 = -5*o. Suppose i - 37 - 29 = -n, o = 2*n - 4*i. Let b = -64 + n. Solve -4*z = -b - 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5497 divided by 441\nAnswer: 5497\/441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*y - c, 4*c = y + 5*c. Suppose -5*n + 90 = k, 0 = -5*k - y*n + 25 + 530. List the prime factors of k.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/(28\/(-630)*3)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/21)*b\/(b*b**(-9)))\/(b**(-7)\/(b*b**(5\/4)*b)))**(-24) assuming b is positive.\nAnswer: b**(-3218\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/2*(4 + 0). Suppose 2*v - 26 = u*i, 4*v - i - 12 = -3*i. Suppose -5*h = -4*y + v, 4*h + 3*y = 2*h + 21. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 7*z. Suppose 2*j + 24 = 5*y, 4*y - 39 = -4*j - j. Let b(k) = -k**2 + 6*k. Give y*u(q) - 7*b(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 3*i - i)*(2 + 1 - 4) - 127 - i + 127 + 2 + i - 2.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 4*h**2)*(2*h**3 - 2*h**3 + 2*h**3)*(-1 - 8 + 3).\nAnswer: 48*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**4 - 68*l**3 + 88*l + 901*l**2 - 901*l**2 wrt l?\nAnswer: 12*l**2 - 408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16570936, 16570991, 16571048, 16571107, 16571168, 16571231?\nAnswer: 16571296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 19, -2039?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -38*j**3 - j**2. Let r be a(-2). Let u = r + -173. Let s = u + -74. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 514357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c + 4. Let a be y(0). Suppose -l + 650 = a*l. What are the prime factors of l?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 9:25 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1483, -17, 1295, 2375, 3145, 3527?\nAnswer: 3443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 24*y + 54. Is 36 a factor of d(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 117471?\nAnswer: 117471.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000597 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3447, 5472, 7497, 9522, 11547, 13572?\n\"Answer: 2025*i + 1422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9496, 18984, 28472, 37960, 47448, 56936?\nAnswer: 66424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 5*c + 6. Let a be (-126)\/30 + (-1)\/(-5). Determine b(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9328 and 7632.\nAnswer: 83952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 - 5*v + 5*v + (2 - 2 + 2*v)*(0*v**2 + v**2 + 0*v**2) + v**3 + 1 - 1 + (27 + 23 + 11)*(v - 3*v + v)*(-3*v**2 + v**2 + 3*v**2).\nAnswer: -59*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -221 - -222. Let z be (a + (-26)\/10)\/((-14)\/385). What is the greatest common factor of z and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 0.07673?\nAnswer: 0.07673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 29. Suppose 5*x - 185 = -g*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13034 or -12000?\nAnswer: -13034","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.5 + -5. Which is the closest to 0.2? (a) -5 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*2\/4)\/(-12).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000022161 to 7 decimal places.\nAnswer: 0.0000222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21346 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (186\/(-279))\/((-16)\/(-6)) + 34\/(-24)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 81 = 39. Suppose -2*v = -8, y = v - 1 - 0. What is the greatest common divisor of w and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948340490?\nAnswer: 2, 5, 43, 79, 27917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2 + 8*y - 3. Let a(h) = h**2 - 2*h + 1. Let o(w) = -4*a(w) - g(w). Let z be 1\/(-6) + (-11)\/6. Give o(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2971928, -5943857, -8915786?\n\"Answer: -2971929*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2))**6*(q**(-2\/9))**25 assuming q is positive.\nAnswer: q**(-104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x + 39*x = 858. Calculate the greatest common divisor of x and 819.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*-4*7\/784)\/(30\/(-14))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2107, -4203, -6299?\n\"Answer: -2096*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10211 = -m - 2897. Let w(i) = 1063*i**3 - i**2 - 3*i + 3. Let y be w(3). Suppose m = -5*r - y. What is r rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -994.5204995 to one dp.\nAnswer: -994.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 + -46. Let d be (4\/(-11))\/(s + 18914\/(-3152)). Let i = 572 - d. Do i and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 354.\nAnswer: -1\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r**2 - 147*r**2 - 24*r**2 + 50*r**2.\nAnswer: -101*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 8, 2*q - 4*q - 3*g + 104 = 0. Let s = 14 - q. Let t = 46 + s. Solve -3*w = -t*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -7\/5 (c) -2\/273 (d) -5 (e) 26\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27241239?\nAnswer: 3, 9080413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 114584 (base 9) in base 7?\nAnswer: 405121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -2. Suppose -6 - 4 = y*a, 5*t + 4*a - 312 = 0. Suppose g - t = h, 194 = -g + 4*g - h. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**9\/3780 + q**8\/840 + q**7\/630 + 17*q**4\/12 - 5*q. Let t(a) be the third derivative of w(a). Factor t(n).\nAnswer: 4*n**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 244 + 883*x - x**2 - 883*x to t + d*x**2 + y*x and give t.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53384 or -62\/3?\nAnswer: -62\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - p**2 + p + 10. Let j be q(0). Solve 3*n - 6 = h - 0*h, 5*n = -4*h + j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 7 = -3*m. Let v = -19 + m. Let g(s) = -62*s - 13. Is g(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/8 - 46205*m**2\/8 + 4034973*m\/4.\nAnswer: -m*(m - 174)*(m + 46379)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13021 (base 9) in base 11?\nAnswer: 6650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.6 - 91.6. Let w = -89.106 - h. Round w to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 20*a - 18 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8008023l to millilitres.\nAnswer: 800.8023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 604494 and 2852190.\nAnswer: 8514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, x: 1, m: 8}. Give prob of picking 1 w and 3 m.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 + 0.3. Let n = 0.6 - m. Which is the biggest value? (a) -5 (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1368*u + 3501*u - 40289 = -2933*u + 233275 for u.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.9 + 3. Let z = v + -0.3. Let t = 21 - 19. What is the smallest value in z, 0.08, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, f: 1, g: 7, r: 1}. Give prob of picking 2 a and 2 g.\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, u: 2}. What is prob of sequence aaua?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 44 - 13\/((-13)\/4)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12 (b) -39.1 (c) 0.147 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 - r**2 + 4*r**2)*(8*r - 6 + 6 + (r + 0*r + r)*(-2 + 3 - 2)) as c*r**2 + s + l*r**3 + o*r and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83872 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 494\/5) + ((-144)\/120 - -9 - 7)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 460546, 460539, 460512, 460453, 460350, 460191, 459964, 459657?\n\"Answer: -2*x**3 + 2*x**2 + x + 460545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 161 in -54, 5\/6, 0.8, 1\/8, -5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q - 3. Let s be o(-2). Find the first derivative of -5*k**3 + 4*k**3 - 8 + 0*k**s - 3*k**3 wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-11 - (8 - 17)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 31*v**2 + 36*v + 71. What is b(-30)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/7 - 893\/1050. Let t(r) be the third derivative of 1\/600*r**6 + 0*r**3 + 0*r + 0*r**4 + 0 + r**2 - c*r**5. Factor t(y).\nAnswer: y**2*(y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 6 (c) -28\/5 (d) 2\/19 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 363674, 716851, 1070040, 1423247, 1776478, 2129739, 2483036?\nAnswer: 2836375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 848 - 243 = 3*m, -2*w + 2 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 80 - 33)*(-2 + 2 - 2 - 3 - 1 + 2 + 3 - 1 + 0 + (3 - 3 - 1)*(1 - 1 + 1) + 0 + 0 - 1)*(-3 + 4*y + 3).\nAnswer: -304*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1015 + -1015.11. What is the nearest to 0.1 in c, 1, 11, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 1, d: 1}. Give prob of sequence dl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16572 - 16238. Which is the fifth smallest value? (a) 1\/7 (b) l (c) 4\/7 (d) -3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77) + sqrt(77)*-2)\/sqrt(7) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31.05512 millennia?\nAnswer: 31055.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465698029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67*(-85)\/(-11390)*3\/72.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1) + 3 - (-9)\/9. Solve -b = -1 + l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1*(-2)\/(-2))\/((-13)\/1014)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 8*x - 8. Let q = -3 + 0. Let r(n) = n**3 + 3*n**2 - n + 4. Let y be r(q). Is c(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6362 - -6361.5. What is the fourth smallest value in 4, x, -2, -1\/8, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 12. Let l be m(-10). Let t be 5 + (l - 3)*2. Solve 6*k = t*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.044, -0.2, 40.313, -0.01, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + z + 3. Let c(f) = 2*f**3 - 9*f**2 - 4*f - 8. Suppose -9*v = -10*v + 5. Let a be c(v). Calculate the remainder when 35 is divided by h(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 7. Let j = 11 - l. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.2 * 5.5.\nAnswer: 50.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/19)*j*j**(7\/2))\/(j**(-3\/5)\/(j\/(j*j**(-22)))) assuming j is positive.\nAnswer: j**(5129\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.507 + 6.507. Suppose 2*i + 0 = 2*q + 8, -9 = 2*q - 3*i. Let b be 0\/(-1) - 2\/q. Which is smaller: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/4*52\/26.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1487*g**4 - g**2 - 54*g + 2 wrt g.\nAnswer: 35688*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**3 - d**2 - 3*d + 1. Let x(m) = 6*m**3 - 2*m**2 - 5*m + 1. Let y be (8\/(-6))\/((-1804)\/(-6765)). Give y*t(g) + 3*x(g).\nAnswer: 3*g**3 - g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-23)*q**10\/q)\/((q\/(q**(7\/6)\/q))\/q)**(-44) assuming q is positive.\nAnswer: q**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -262*m*s - 212*m - 1 with respect to s.\nAnswer: -262*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 139*i**3 + 11*i + 60. Let x(y) = 35*y**3 + 3*y + 15. Let p(u) = 6*w(u) - 22*x(u). Differentiate p(a) wrt a.\nAnswer: 192*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 - 15441212.\nAnswer: -15441223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (80\/(-5))\/4 + 18. Let v(o) = 6*o - 82. Let i be v(u). Which is the biggest value? (a) -0.02 (b) i (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - l = -33871, -26*l - 16 = -30*l. What is x rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) -1 (c) -1\/41 (d) -0.4 (e) 0.2 (f) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448)*-2*-2 + 3)**2.\nAnswer: 192*sqrt(17) + 39172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 4*s - 4. Let i be k(5). Let n(d) = -3*d + 1. Let g be n(-1). Suppose g*x - 2*x = 0. Do i and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i - 4*i + 2*i)*(4*i - 3*i + 0*i) - 16 - 4*i**2 + 16)*(-11*i**3 + 46*i - 46*i).\nAnswer: 55*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4106 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 21*x**2 + 90*x + 250. Let q(i) = -5*i**2 - 22*i - 60. Give 25*q(o) + 6*u(o).\nAnswer: o**2 - 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -367, -365, -363?\n\"Answer: 2*h - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + -204?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -148 + 147.68. Let w = -0.22 - b. What is the second biggest value in 1\/7, 2\/3, -2\/85, w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or 13831?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 109297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 19*c - 2. Let v(y) = -1976*y + 209. Suppose -16*g - 63*g - 158 = 0. Calculate g*v(s) - 209*z(s).\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24.1 and 0.129.\nAnswer: 3.1089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.2, 1.27, -2\/7, 1\/7, 19.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 217*b*w - 8787*b - w**3 - 24*w with respect to w.\nAnswer: 217*b - 3*w**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbgl when four letters picked without replacement from tgggggbbgbwblllwbblb.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 13*w - 13*w)*(9 - 6 + 2) - w**2 + w**2 - w**2.\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3580*h + 3583*h - 5*w + 19, 4*h + 2*w - 18 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/930)\/((-3)\/(-18) + 2)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-4)*132\/110*(-3432)\/(-65780).\nAnswer: -18\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 - 754547160?\nAnswer: -754547220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z = 16. What is the third derivative of -2*a**6 + 0*a**2 - a**2 + z*a**6 - 2*a**2 wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552141487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/632475571 and -20\/4811733?\nAnswer: 5692280139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11768?\nAnswer: 2, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*g + 7232, 5*o - 5*g - 17397 = 18803. Suppose -2*w - 4*x + 5398 = -5*w, 4*w = -4*x - o. What is the hundreds digit of w\/(-8) - 0 - 5\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45420 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*r + 21 - 439 = 0, -4*t - 3*r - 393 = 0. Let l = -37 - t. What are the prime factors of l?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3836480512?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17098502?\nAnswer: 2, 89, 96059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*c - 1181 = -361, 824 = 4*z + 4*c. Determine w so that -216*w**2 - z*w**2 - 6 + 423*w**2 + 9*w = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2300 divided by -4.\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 146832050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 + -62. Suppose -5*y = -q + 215 - 53, 5*q - s*y - 854 = 0. What is the remainder when q is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 + 69. Let c(l) = 14*l + 20. Let s be c(q). Let y = -54 - s. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t**2 - 15*t**2 + 13*t**2 - 22*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 2. Let q(d) = -5*d + 9. Let m(a) = -9*j(a) + 2*q(a). Let t(y) = 10*y + 16*y + 16*y - 48*y + 11*y. What is m(t(h))?\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34.3 - -63.7. Let k = -7.4 + g. Is -3 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3\/2 - 47*n**2\/2 + 651*n\/2 - 2205\/2 = 0 for n.\nAnswer: 5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7668, -7653, -7616, -7545, -7428, -7253, -7008?\nAnswer: -6681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*315\/(-135)*(-270)\/1925?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 869 + -865. Determine g, given that 2\/7*g + 0 + 4\/7*g**z + 0*g**3 - 2\/7*g**5 - 4\/7*g**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 391 - 380. Suppose -4*b - 4 = -4*f, 5*b = f + 14 - q. Solve f*a = -a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -2*c**6\/5 + 67*c**4\/12 - 59*c**3\/6 + 27*c - 17. What is the second derivative of z(a) wrt a?\nAnswer: -144*a**2 + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 1\/8*w**3 + 0*w**6 - 10*w + 1\/24*w**4 - 1\/4*w**2 + 1\/168*w**7 + 0 - 1\/20*w**5. Determine r, given that n(r) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 91*c**5 - 97*c**5 - 111*c**5 + (2*c**4 - c**4 - 3*c**4)*(0*c - c + 0*c).\nAnswer: -115*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n + 38 = 25*n, 295 = f + 13*n + 51 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m**(3\/7)*m)))\/m**(3\/2))\/(m**(2\/11)\/m*(m*m\/m**2*m)\/m) assuming m is positive.\nAnswer: m**(269\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 22*v - 2. Let d be i(-1). Let s = 36 + d. Let x = s - 9. Solve -x*l - l - 20 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -644657, -1289306, -1933955, -2578604, -3223253?\nAnswer: -3867902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 15 + 33)*(-3 + 4*a - 10*a + 0*a).\nAnswer: -36*a - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -7. Suppose 42 + 58 = 25*z. What is the third derivative of 63*p**l + 7*p**4 + 15*p**z - 45*p**2 wrt p?\nAnswer: 528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, -20, -3216 in descending order.\nAnswer: 8, -3, -20, -3216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114405 is divided by 2860?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32 - 1)*(-88)\/24. Let v = n - 138. Suppose -5*g = m - 24, g + 1 = 5. Sort -1, v, m in decreasing order.\nAnswer: m, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 - 2*s**4 - 2*s**5 + 31 + 31*s**5 - 31 + (3*s**2 + 2*s**2 - 4*s**2)*(s**3 - s**2 + s**2).\nAnswer: 30*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -15*w - 9. Let h(j) = 25*j + 17. Determine -6*h(p) - 11*s(p).\nAnswer: 15*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316867.\nAnswer: 43, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5674 - -5678. Let r = -3.2 - -3. Which is the second smallest value? (a) -3 (b) r (c) -0.1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 814 and 10085460.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 838 = -2*f. Let u = -208 - f. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -2\/3, 5, -4\/5, -0.3, -193\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h - d - 4 = 0, -3*h + 3*d = -12. Suppose -12*a - 860 = -2*w - 10*a, h = -2*w + 4*a + 866. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 838*y - 6748*y - 4168 + 11037 + 16771 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 99 + 196 - 97.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 92871 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, 17, 25?\n\"Answer: 8*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3 = -7, 3*o - 10257 = 3*r. What are the prime factors of o?\nAnswer: 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + (-8)\/12*3 - -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-3)\/(-243)*3). What is the common denominator of (-9)\/(-48)*(-1236)\/q and -51\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 65360 or 65367?\nAnswer: 65367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 2*n = 3*f + 154, f + 5*n = 17. Suppose 7*g - 3*g - f = 0. Let h(a) = a**2 - 6*a + 3. Is h(g) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*a + 2. Is (a\/(-6))\/(4\/1068) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -12.7. Let d = 4.69894 + p. What is d rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61033099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + ((sqrt(200) - (sqrt(200) + (sqrt(200) - (sqrt(200) + 1 + sqrt(200) - sqrt(200))))) + 5 + sqrt(200))**2 + -4.\nAnswer: 120*sqrt(2) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**3 - 6*l**2 + 6*l + 7. Let v(p) = -6*p**3 + 3*p**3 - 182*p**2 + 5*p + 6 + 177*p**2. Determine 5*u(h) - 6*v(h).\nAnswer: 3*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 + 95. Suppose 724 = 5*q - o*s - 2*s, 3*q - 2*s = 436. Calculate the lowest common multiple of q and 20.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149984?\nAnswer: 2, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/144)\/(4\/(-16)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 + -8197326986.\nAnswer: -8197326987.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 120097005949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-6) + (-12)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*w - 1447 + 2767. Suppose 4*i = 2*m - 5*m + 173, 2*i - 91 = 3*m. What is the greatest common factor of i and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-2)*4\/4. Let i = 5 - v. Factor -2*t**4 - 7*t**3 - i*t**3 + 4*t**3 - 2*t - 6*t**2.\nAnswer: -2*t*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - 2 - (-2 + 3). Let l = k + -3. Suppose l*u = 5*z + 62, -z = -4*u + 2*u + 46. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8063*u - 96757. Calculate n(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than or equal to -4549903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -334 + -37?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 - 0.35. Let u = 0.314 + -0.214. Which is the smallest value? (a) t (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1366 + -776. What are the prime factors of r + (-20)\/(-25)*10\/(-2)?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1027 = 12*k + 1087 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**38*z*z**(-19)*(z**(2\/11))**(-19) assuming z is positive.\nAnswer: z**(193\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 1. Let c = -2 - -1. Let y(j) = 258 - 3*j**2 + 315 - 576 - j**4 - 6*j**3 - j. Let p(l) = c*y(l) + 3*v(l). Factor p(s).\nAnswer: s*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/14 and 87\/88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 137098 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 865369795 divided by 173073959?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c*i - 140979*c + 133306*i wrt i?\nAnswer: -3*c + 133306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 9*a - 9. Suppose a*m = 5*m. Let k be 1\/4*m*1. Solve k = 6*x - x + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**0*m)**(-33)\/((m*(m**(-9)\/m)\/m*m)\/(m**(-1\/3)*m)))**(2\/89) assuming m is positive.\nAnswer: m**(-536\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 9) in base 11?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3100313 (base 4) to base 3.\nAnswer: -200100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/4*16\/(-6)*2. Let p(x) = 2*x**2 + x + 2. Let j be p(-2). Suppose 2*d - j + 2 = 0. Solve -d*b + b = -s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**3 - 2*w**2 - 2*w + 2. Let r be c(3). What is the greatest common factor of 43 and r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1290 + 1866. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 3*l**2 + 2. Let x(p) = p**3 - 3*p**2 - 4*p + 2. Let g be x(4). Calculate w(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11960610 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3 - 366*m**2 + 7911*m - 7546 = 0. Calculate m.\nAnswer: 1, 22, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 43*o - 325 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31453 + -453?\nAnswer: 31000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 65980?\nAnswer: -9\/32990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 75*f - 76*f. Suppose -32 = -5*j + 20*v - f*v, -5*j + 5*v = -35. Let q = 3.7 + -4. Which is the nearest to -0.1? (a) j (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -166, -5, -11, 530, -4 in increasing order.\nAnswer: -166, -11, -5, -4, 530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11, 50, 115, 206, 323, 466?\n\"Answer: 13*c**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3084 and 7296?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -5. Suppose 3*t = 2*x, 3*t + 23 = -t - a*x. What is the units digit of (t - -7)\/(4\/28 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 2*f + 1. Let n(y) = 37*y**2 + 4*y + 4. Give -3*k(l) + n(l).\nAnswer: 40*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5916 and 2448?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 245.4260078 + -245.354. Let y = -0.01 + 0.082. Let i = y - x. Round i to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = 4*w - p, 5*p - 337 = -5*w + 2*p. What is the remainder when w is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) 4 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6787 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 540, 2200, 4978, 8874, 13888, 20020?\nAnswer: 27270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n. Let m(o) = 2 - 2 + o**2 + 4. Determine m(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 7:23 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/233 (b) -0.16 (c) -4 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 105*z - 128. Suppose 15*l - 213 = -78. Is c(l) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 491306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 3*q**2 - 5*q. Let k be i(5). Suppose 0 = t + 4*t - k. Let b be (t\/(-15))\/((-2)\/18). Solve 4*u - b*y = -28, -u + 4*y = 12 + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -79889*r**3 + 13*r**2 + 14*r + 1. Is c(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4966, 9928, 14892, 19858?\nAnswer: 24826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100533*s**2 + 2*s - 8559?\nAnswer: 201066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2156330908 rounded to two decimal places?\nAnswer: 1.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, b: 4, l: 4, c: 2}. Give prob of picking 1 b and 1 f.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1833.\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 47084039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13313323 + -4?\nAnswer: -13313332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -140 times 38\nAnswer: -5320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 19640 + 22260 = 0. Round d to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**4*y - 2*i**4 - 60*i**2 - 7*i - 4*y - 1 wrt i.\nAnswer: -12*i**2*y - 24*i**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + (-4 - (5 + 2) - (61 + -83))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 18 = -2*p, 4*p + 4*n = 6*n + 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2)\/((-2)\/8). What is the lowest common multiple of (b\/14)\/((-4)\/14) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2806.49 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 5:19 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.17 and -15998?\nAnswer: 2719.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 4 - 2)*(-1 + h**2 + 1)*(-4 - 2*h + 16*h**3 + 5 - 14*h**3).\nAnswer: -40*h**5 + 40*h**3 - 20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.3 - 9. What is the third biggest value in -4, p, -1\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18228\/589 - ((-6408)\/456 - -14)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 214 - 214. Put -5, q, 12 in decreasing order.\nAnswer: 12, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4911417 divided by -4773?\nAnswer: -1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -9. What is the third biggest value in 4\/5, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*r - 2*n = 927, 5*r - n = r - 4*n - 53 + 17 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:06 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 63, 174, 271, 348, 399, 418, 399, 336?\n\"Answer: -y**3 - y**2 + 121*y - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4578258 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 280?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -518.7 - -520. Which is bigger: 1.4 or h?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798 = 62*p - 69*p. Calculate the common denominator of -42\/25 and (-12)\/p - (-636)\/95.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 3)*(3*s**2 - s**2 - s**2) + 3 - 9*s**2 - 8 - s + 4 as j*s**2 + q*s + c and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - g + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 2*o - 29, 44*o - 47*o = -2*t - 26 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*x + 253*x = 200. Calculate the remainder when 81 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 + 20*a - 10 + 2*a - 4*a + 0*a + a - a + 2*a + 5*a - 5*a - 2*a + (-3 - 3 + 4)*(2*a - 2 + 2) - 1 - a + 1 + 5*a - 4*a + a + 0*a - 3*a + 4*a.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15651 a factor of 2225306133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p - 2. Let x = -141 - -138. Calculate z(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -613*p + 6989 - 320 + 3752 = 0 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 1312.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12695726.\nAnswer: 2, 53, 119771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxzxxzzxxx. What is prob of picking 1 x and 3 z?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 - 44 + 675)*(0 - 2*b + 0).\nAnswer: -1140*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32612374*m**6 - 37017769*m**2 wrt m?\nAnswer: -3913484880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/49 and 39\/49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 equal to -48\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3222, 208, 1, -4, 2 in descending order.\nAnswer: 208, 4, 2, 1, -4, -3222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584 at least 3541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 115896 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**5\/2 + 123*f**4\/2 + 1029*f**3\/2 + 3189*f**2\/2 + 1884*f + 744 = 0.\nAnswer: -31, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 40955.68ml?\nAnswer: 40.95568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.151 rounded to zero dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3640 and 1\/587600?\nAnswer: 4113200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2777958 divided by -157?\nAnswer: -17694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -555 + -6252416?\nAnswer: -6253072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 618565 and 6410?\nAnswer: 1237130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 83*j - 225. Let k be x(11). Solve k*a = 686*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122 + -37. Suppose -w + 6*w - m = 0. What is the remainder when 50 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-71 - -79) + 73 - 141?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/39)*t**6 assuming t is positive.\nAnswer: t**(232\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - o + 1. Let i(p) = 3*p**2 - 3*p + 9. Suppose l + 1 = -f, -2*l + 9*f - 22 = 6*f. What is l*n(g) + i(g)?\nAnswer: -2*g**2 + 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + (9 - (6 - (-9 - 2)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*q + 24 = 0, -2*f - 15 = -3*f - 4*q. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*m**3 - m**2 - 2*m**3 + 2*m**2)*(-15*m - 16*m + 12*m).\nAnswer: -190*m**4 - 19*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1957?\nAnswer: 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -572662 less than 30560?\nAnswer: 603222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**4 - 179*i**3\/3 + 6690*i. Let x(s) = -2*s**2. Calculate y(x(l)).\nAnswer: -48*l**4 + 716*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1967603127 to the power of 1\/2, to the nearest integer?\nAnswer: 44358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.36249 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - 2*g - 1. Let r be m(-1). Suppose -r*d + 48 = 16. Suppose d*w - 3*w + 270000 = 0. Round w to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (9 + -22 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -45*z**3 + 24*z**2 - 10*z. Let c(d) = -d**3 + 2*d**2 - d. Determine -22*c(v) + 2*f(v).\nAnswer: -68*v**3 + 4*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**3\/3 - h**2\/2 - 3. Let z(s) = 5*s**2 - 3*s - 1. Calculate 3*k(v) - z(v).\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -39. Suppose -4*c - 56 = h, 0 = -3*c - c + 2*h - 44. Let z = m - c. Solve 8 = -3*i + 5*d, -2*i + 5*d + 1 = z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.5 (b) -5 (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 14) + -1 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690515 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j*j**(-14))**(-8))**(-2\/7) assuming j is positive.\nAnswer: j**(-160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 9*x**2 - 10*x + 27. Let d be j(5). Solve -d - 10 = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 5*r**2 - r - 4. Let s be y(3). Let q(u) = -67*u - s*u + 123*u. Let w(o) be the third derivative of o**5\/30 + 6*o**2. Give q(w(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 20939045?\nAnswer: 1\/20939045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 divided by 3?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 1.1 (b) 3\/7 (c) -1\/4 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a hour in minutes?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3489 - -3498. Suppose 0 = 4*g + g. Solve 0*w + 5*w + 15 = g, -x = 4*l + 3*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.049413653 + 43622.599586347. Let u = k - 43644. Let d = u + 0.251. Round d to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 20 = 3*z. Let b be (1*-2)\/(z\/(-6)). Let s(y) = 7*y + 3. Is 12 a factor of s(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.101238 - 39.4011. Let y = r + 4.3. Round y to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z + 2050 = 8*z + 21*z. Calculate the greatest common factor of z and 38.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -5*l. Let n(d) be the third derivative of 0*d + 0*d**3 + d**2 + l - 1\/30*d**6 + 0*d**4 + 1\/60*d**5. Let n(t) = 0. Calculate t.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 12:59 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {r: 4, h: 10, p: 1, z: 5}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -2 - 27999\/2*c**2 + c. Let f be n(-1). What is f rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 1 + 0 = 3*c, 4*c - 11*c = -35 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/12)\/(15\/10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6065288*j - 26. Let n be r(-3). Suppose w = 5655838 - n. What is w rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4314587509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 - f + 105. Let k be i(-10). Let s = k + 187. Suppose -2*h + 9 = -q, -h + 27 = -0*h - 5*q. Solve s*u = -h*u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**4 + 5*c**2 - 5*c**2 + (0 + 6 - 4)*(-10*c - 9*c**4 + 10*c) in the form o*c**2 + p + s*c**4 + k*c + m*c**3 and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*s = -481, -5*z - 4*s + 640 = -8*s. What is the highest common factor of z and 806?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/2 of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000075886 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 178 + -153. What is the highest common factor of 125 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/45)*m*m**(-7))\/(((m\/(m**15*m))\/m)\/(m\/((m\/m**(-13))\/m))) assuming m is positive.\nAnswer: m**(-92\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = f - 5*r, 8*f - 3*r = 4*f - 111. Let u = f + 28. Suppose 2*v - 2 = u. Solve v*p = -1 - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 + 37*c**2 - 20*c + 22*c + 54*c.\nAnswer: 31*c**2 + 56*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*r - 18, -2*r + r = 3*c + 87. Let i = c + 53. List the prime factors of i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3\/2, -1, -2, -4.91, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**5 - 59*h**3 - 825*h**2 wrt h.\nAnswer: 60*h**2 - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-7) - (-16)\/(-448).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 5:34 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 22*f + 348. Give c(-11).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2\/13 + 4188*q\/13 + 2192418\/13 = 0. Calculate q.\nAnswer: -1047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 103139*f + 206292. Let h be m(-2). Factor 2\/3*p**2 + h + 20\/3*p.\nAnswer: 2*(p + 3)*(p + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81703000 to the nearest one million.\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 3. Let p be c(-3). Suppose p = 3*g - 0*g + 6. Let t(o) be the second derivative of -o**4\/12 - 5*o**3\/6 - o**2\/2 + 35*o. Determine t(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.5, -0.72, -0.15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17924875 + 2*i**2 - 5*i**2 + 17924866 - 35849741.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*a = 190, 4*f = -3*a - 68 - 284. Let y = 75 + f. Let k(c) = c**3 + 12*c**2 + 6*c + 29. Is k(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012597 to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2*11\/22).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 5*c**2 - 19*c - 7. Let t(q) = -3*q**2 - 9*q - 4. Give 3*g(b) - 5*t(b).\nAnswer: -3*b**3 - 12*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 8, 4 in decreasing order.\nAnswer: 64, 8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2461706 - 545?\nAnswer: -2462453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - (sqrt(12) - (sqrt(12) + sqrt(84)\/(sqrt(112) - sqrt(7)))))\/sqrt(2))\/(sqrt(4)\/(sqrt(18)*5 - sqrt(2))).\nAnswer: 56*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*s**5 - 1002*s**4 + 8*s**3 - 227*s - 1398?\nAnswer: -100*s**3 - 12024*s**2 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -8\/15 (b) 1.2 (c) -0.5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3619, 3919, 4423, 5233, 6451, 8179, 10519?\n\"Answer: 17*b**3 + 181*b + 3421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*v - 14 - 52. Solve 0*y - y = -v*h - 19, 5*h = 3*y - 37 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**2 - 21*r - 120. What is the tens digit of b(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-10))\/(6\/(-120)). Let g be (2\/(-3))\/(1\/(-165)). What is the highest common divisor of b and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 3:55 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -171*i**2 + 327*i - 7. Let l(j) = -85*j**2 + 164*j - 3. Let x(o) = -3*d(o) + 7*l(o). Find the second derivative of x(v) wrt v.\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 2, 5, 10, 17, 26, 37?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 4, -3, -4 in descending order.\nAnswer: 4, -3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 236839537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 4*v = -27, -3*s + 4*s + 2*v + 3 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkcecge. What is prob of picking 2 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39\/14 - 163\/56. Which is the nearest to 0.02? (a) 0.06 (b) k (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -208, 4732, 1 in descending order.\nAnswer: 4732, 1, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001388878 rounded to five dps?\nAnswer: -0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + d + 42 = 0, -3*d + 0*d - 16 = -u. Suppose -u = r - 25. What is the smallest common multiple of r and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 5 + -4 - (-2 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hphhpdkkwhhhdehhkdh. Give prob of picking 1 d, 1 w, and 1 p.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2743455 to the nearest integer?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 1, -0.17, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 0 = -8*h - 4, 3*p + 0*p + 5*h = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 8*s**2 + 9*s - 1. Let r be u(7). What is the units digit of -2 + (-1 + r - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -217*z**4\/24 - 108*z**3 - 754*z**2. What is the derivative of d(t) wrt t?\nAnswer: -217","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-6 - 2)) + (-177 - -166)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-1 - -2)\/((-14)\/21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b930 (base 12) to base 14.\nAnswer: 4444c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8977 + 8978. Let v = -4 - -4. Put d, 2\/7, v in descending order.\nAnswer: d, 2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*i - 13549508 = 6680444. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324) - (-1*2*sqrt(324) - sqrt(324)) - 5*(sqrt(324) + 2*sqrt(324) - sqrt(324) - sqrt(324)))\/(4*sqrt(30)\/(-1*sqrt(490))).\nAnswer: 21*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2791, -138 in descending order.\nAnswer: 2, -138, -2791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -1104412?\nAnswer: -1104404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 r, and 2 z when four letters picked without replacement from {u: 2, z: 4, r: 8}?\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 318845\/1462238 + (-5)\/(170\/8)?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4 + 9*u - u**2 - 5*u**2 + 5*u**2 + 0 + 0*u**2. Determine p(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 10 in descending order.\nAnswer: 10, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3116349629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/21 + (74\/7)\/2. Solve -5*k - 25 + 5 = -2*l, -5*k = -w*l + 35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*3*(sqrt(1539)*-1 + -5)**2 + (sqrt(1539) + -1 + -3 - (0 + -2 + sqrt(1539))**2).\nAnswer: -25002 - 1305*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*k - 13 = 0, -3*n + 2*k - 8 + 14 = 0. Calculate the smallest common multiple of 8949 and n.\nAnswer: 71592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/23479?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 608455292?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -1. Calculate the remainder when q is divided by (-9 - -6) + 18 + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 3*f + 24, -t - 7*f = -8*f + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 2, 5268 in ascending order.\nAnswer: -52, 2, 5268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 62\/3*x**3 + 961\/8*x**4 + 31 + 0*x + x**2. What is s in m(s) = 0?\nAnswer: -2\/31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 7 = 3*a, 2*a - 13 = 7*p - 2*p. Suppose 2*f - 12 = -f + 2*x, -x - 11 = -a*f. What is the third biggest value in f, -3\/4, 2\/11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 1205?\nAnswer: -361.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17045693471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.392 - 64.168. What is b rounded to zero dps?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140748 and 3111672?\nAnswer: 3804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 3 - 9 + 4 + 6*q + q**2 + 2*q**4 to the form i*q**2 + d*q**3 + j + a*q**4 + w*q and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-40)*4\/48*2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -865594 - -1a?\nAnswer: -865575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 200303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 9 + 27*v - 5*v - 10 + 10.\nAnswer: 22*v - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1446 greater than or equal to 647.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(-2 + sqrt(20) - -2*(2 + sqrt(5))))**2.\nAnswer: -8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 8. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 353 and 28593?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q**(3\/7)*q*q*q)\/q))\/q**(1\/2))\/(q**(-1\/5)\/q*q)**(-2\/25))\/((q**2*q\/(q\/(q**(-6)\/q)))\/(q*q**(-1))**(-23)) assuming q is positive.\nAnswer: q**(5347\/1750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/8004 and -13\/25182.\nAnswer: 33592788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 223, 451, 683, 919, 1159?\n\"Answer: 2*u**2 + 222*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -1\/3*g**3 + 0*g**2 + 2 + 0*g + 0*g**4 + 1\/20*g**5. Let o(f) be the third derivative of z(f). Let d(c) = -c**2. Give d(o(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 530600 and 225.\nAnswer: 4775400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 16) in base 4?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2025 + -3?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5, 1\/2, 2, 0.3 in descending order.\nAnswer: 5, 2, 1\/2, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2141 = -r - 665. Let b = -2386 + r. Round b to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - 2*w + 1. Let c be n(2). Let k = c - 0. Suppose 2*z - k*z = -36. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11665 divide 3384949700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 - -106. What is the remainder when 85 is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - 1) + -13 + 18 + -2 + -7.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -496 + 490.98. Let r = 0.02 + j. Let f = 64.01 - 60.01. What is the closest to 0 in r, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109201500*y**2 + 29578793*y?\nAnswer: -218403000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 759336?\nAnswer: 2, 3, 29, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-5 + -11) + (-18)\/(-8). Find the second derivative of o**3 + 18*o**3 + 15*o + 2*o**m + 113*o - 61*o**3 wrt o.\nAnswer: -252*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(1\/2)\/y)*y)**(7\/8) assuming y is positive.\nAnswer: y**(35\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13733056*b**2 + 2858039?\nAnswer: -27466112*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 + -33. Suppose -c - 34 = -3*i. Let z = i - 25. Is z less than or equal to 10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 49. Let v = 4.59 + -40.09. Let b = m - v. What is b rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 288\/(-1296) - 1036\/441\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6907768?\nAnswer: 2, 7, 293, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 53 - (-5 - (-57 - -40))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34932269?\nAnswer: 29, 1204561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.7 + 5.8. Let l = o + -3. What is the second smallest value in -1\/3, l, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 799230 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 11*t - 11. What is the units digit of r(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 21294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -150, -155, -162, -171, -182, -195, -210?\n\"Answer: -d**2 - 2*d - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*l + 18 - 4, 0 = -2*z - 8. Let n be (4\/(-14))\/((-2)\/l). Let c = -4 + 4.1. Which is smaller: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -41 - 1 - (-1 - -1*4). Which is smaller: l or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -3. Let x(o) = o + 5. Let w be x(-4). Let m = w - r. Which is the second smallest value? (a) m (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*z = 166*z - 27324. What is the remainder when z is divided by 168?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 53688.\nAnswer: 107376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.09, -1\/8 in increasing order.\nAnswer: -3, -1\/8, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9734961 to the nearest integer?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -17*t. Let p(m) = 11*m - 17. Let c(j) = -4*j + 6. Let g(x) = -17*c(x) - 6*p(x). Determine n(g(w)).\nAnswer: -34*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 63953 * 0.4\nAnswer: 25581.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 533777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 653185319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/5 of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa5b16 (base 13) in base 4?\nAnswer: -33103112023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*x - 12000000. Round x to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 2. Let j be a(-4). Suppose 2*q - 21 = 5*o, 5*o - q + 13 = -5. Let h be j*o\/12*22. Calculate the highest common divisor of h and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -287 - -289. Sort l, -2, -6, -1 in decreasing order.\nAnswer: l, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -m - 25, u = -5*m + 5*u - 20. Suppose -4*g + m*g = -3*i - 22, -3*i + 5*g = 26. Does i = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1804300 - a - 1804300.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -2577390\/2147 and -1199 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 15.000043. Round d to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8501 and -0.058?\nAnswer: 8500.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 1)*((0 - 2 + 1)*(-4 + 4 - 2*k) - k + 0*k - 2*k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + o**3 + 973*o + 4*o + 15*o**4 - 17*o**4 in the form p*o**4 + c*o**3 + b + q*o**2 + u*o and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -90, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*-1*-2.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + -1)*4.\nAnswer: -4 + 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:35 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 432375112 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: Which is smaller: 158 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 - 67185193*j + 4513850158447249.\nAnswer: (j - 134370386)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -236.\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(3\/(-280 - 2)). Let r = -39 + c. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 71894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**4*m - 12*k**4 + 23*k**3 + 6*k**2 - 85*m wrt k.\nAnswer: -24*k*m - 288*k + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26.3 - -26. Suppose -3*c - 14 = 5*m, 2*c - 2 + 7 = m. What is the nearest to m in -2\/17, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/87)\/h*h*h*h)**(-14\/5)*(h*h**31)\/((h\/(h*h**(-1\/4))*h)\/h))**(-28\/9) assuming h is positive.\nAnswer: h**(-317723\/3915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 14. Let h be g(-10). Factor 12*x**3 + 4 - 4*x**4 - 4*x - 3 - 2*x**2 + 0*x + 13*x**h.\nAnswer: (x + 1)**2*(3*x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 131 - 19. What is the smallest common multiple of z and 63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2646, -2656, -2678, -2718, -2782?\nAnswer: -2876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**5\/20 + r**4\/3 + 4*r**3\/3 - 7*r**2\/2 - 2*r. List the prime factors of i(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 = 4*f + 11. Suppose -2*h = -3*y - 135, f = 2*h - y - 53. Calculate the greatest common divisor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 2 (c) 0.139 (d) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2917496.9 and -5.5594.\nAnswer: -2917502.4594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 9*o. Let g(w) = 4*w. Let m = 43 - 19. Let c be (27\/(-12))\/((-6)\/m). Calculate c*g(i) - 4*h(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10803601543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + -77. Let i = -81 - g. Is i greater than -0.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449383 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 0*m - 7\/2*m**2 + 237. Let d(b) be the third derivative of b**4\/24 + b**2. Determine d(t(x)).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j + 0*j**2 - 5*j - 17*j + j**2.\nAnswer: j**2 - 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.3250082 rounded to two decimal places?\nAnswer: 15.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44208402 + 4?\nAnswer: -44208387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 1:35 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 4. Let l be j(0). Solve -2 = t + 3*g + 1, 0 = -5*t + l*g - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303533521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8101644 minutes in nanoseconds?\nAnswer: 48609864000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1313276 and 242?\nAnswer: 158906396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 473 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -507091, -507088, -507083, -507076?\n\"Answer: g**2 - 507092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.022*-1.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 10*b + 8. Let t be x(-4). Let k = -16 - t. Suppose 3*s - s = -2*r + 14, 2*s = 4*r - k. Solve 3*f - 6 = 0, r*v - 4*f + 16 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 5*f + 2. Let q be b(-4). Suppose -27 = -5*s - 2*p + 42, q = -2*p. Solve l - s = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 345 and 7182785.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 1, f: 1}. What is prob of sequence fa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4966 = 2*n, -3*n + 4961 = -32*g + 33*g. What are the prime factors of g?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -192 minus 485006?\nAnswer: -485198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 5*r + 2*z - 132, -4*r = -5*z - 300. Let u = 6 - -52. Let f = r - u. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*i - u, -5 = -5*i - 23*u + 24*u. Solve -557*z + 551*z - 6 = i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3842659851?\nAnswer: 3, 41, 3467, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + (-13 - -13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1, -1\/592 in ascending order.\nAnswer: -1\/3, -1\/592, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4793, -19014, -42647, -75692, -118149, -170018?\nAnswer: -231299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29.3 - 29. Let o = 21.3 - 23. Let g = o - a. What is the biggest value in 1, g, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 27972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89 and 24752591?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32943.09648 rounded to the nearest integer?\nAnswer: 32943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 - 3*i**3 - i**3 + (-2*i**2 + 4*i**2 - i**2)*(-5*i + 5*i + 7*i) to z*i**3 + v + h*i**2 + c*i and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3981*h**2 - 3983*h**2 + 7963*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32 + 82)*(8\/5)\/4. Solve -21*v = 4*x - 22*v + 5, x + 4*v = u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -6, 0.41, 0, 867?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 127\/77 - (-1)\/(70\/(-20)). Which is smaller: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4691540.988 to the nearest 1000.\nAnswer: -4692000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + 5 + (7 - 11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1170422, 2340839, 3511254, 4681667, 5852078?\n\"Answer: -f**2 + 1170420*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1971933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 408, 2\/9, 0.82 in decreasing order.\nAnswer: 408, 0.82, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24 and 272.858.\nAnswer: 296.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34073626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 7:09 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6475.7183 to the nearest integer.\nAnswer: -6476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 + 13*b**2 - 10*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23213 - 4242?\nAnswer: -33010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 + 15*d**2\/2 + 13*d.\nAnswer: d*(d + 2)*(d + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.72, 0.4, -2\/23, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 + 312*t\/5 + 12168\/5.\nAnswer: 2*(t + 78)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 288499 > 288499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 182 - 226 - (22 + -8 + -7).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5997 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 38*i + 49. What are the prime factors of u(-29)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w = 5*d + 22*w - 266, 2*d = 4*w + 116. What is the hundreds digit of 1\/6 - ((-16839)\/d - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4474539 * -1\nAnswer: 0.4474539","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*q + 10, -12 = -s + 2*s + 5*q. What is the fourth smallest value in 2, 4, -0.4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350699051 to the power of 1\/3, to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**3 - 4*d**2 + d**3 - d**3 + 16 - 249*d**4 + 248*d**4 + d**3 + 2*d to the form q*d**2 + g*d**4 + h*d**3 + m + j*d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s*s*s*s**4*s*s*s*s)\/s)*s*s*s\/(s**3\/s))**(35\/6))**(-40))**(-12) assuming s is positive.\nAnswer: s**(-22400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26390 and 630?\nAnswer: 237510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23376, -46902, -70428?\nAnswer: -93954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 2*m**3 + 1 + m + m + m - m. Let g be z(-1). Solve y - 3*s + 4*s + g = 0, -3*y + 5*s = 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5 - (-2828)\/(-70). Is -1 + h\/(-3 + 2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 42 = -5*q. Let a(j) = -j**3 - 12*j**2 - 11*j + 8. Let d be a(q). Let y be 40\/6*2184\/520. Solve -4*f + y = d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4670 = 248*d - 786. What is the remainder when 2714 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 9*q + 270. Let n be 16\/(-9) - (-12)\/q. What is the units digit of 2\/1 - (n - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126479804.\nAnswer: 2, 11, 1069, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2 + 57*k + 56 = 0.\nAnswer: -56, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/40 and -101\/25070?\nAnswer: 100280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 519128 and 18.\nAnswer: 4672152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d + 1. Let m be a(-2). Let k(b) = -5*b**3 - 3*b**2 - 120*b - 324. Let y be k(-3). What is the highest common divisor of y and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 51292026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 7:59 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + -19 + 12 - -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 428?\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 297.70773 rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 10) in base 13?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = s - 27, 2*s - 3*p + 45 = 5*s. Solve -s*k + 16 = -8*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -2bc6?\nAnswer: -2bc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -45, 3, 0, -7 in descending order.\nAnswer: 4, 3, 0, -7, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**5\/9 - 2348*t**4\/9 + 7928*t**3\/3 - 57224*t**2\/9 + 52508*t\/9 - 5572\/3 = 0?\nAnswer: -597, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 2210951.\nAnswer: 11\/2210951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54*i**2*z - 2*i**2 + 26231*i*z - 4*z**2 - 137847596 wrt z?\nAnswer: 54*i**2 + 26231*i - 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 1e364?\nAnswer: 1e367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 544 + -546. Which is the second biggest value? (a) -5\/6 (b) -0.05 (c) -0.2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + h = -4, 4*z - 1440*h = -1435*h - 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - ((-1)\/(-36)*3)\/(41\/492). Suppose x + 3*o = -x - 16, -x + o + 2 = 0. Put x, -5, c in increasing order.\nAnswer: -5, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25215 + 48632 - 23413 + 21*m.\nAnswer: 21*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 712 = 1238. Suppose q = -2*o + 901. Is 36 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((4 + -5)*1)\/(4\/(-16)). Find the first derivative of -11 - f*u + 18*u**3 + 61 + 3 wrt u.\nAnswer: 54*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.11467 rounded to one dp?\nAnswer: -85.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 140*q**3*x**4 + 42*q**3*x**2 - 3*q*x**4 - 3*q*x**2 wrt x.\nAnswer: 3360*q**3*x - 72*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20084 + 10071 = 657*k - 2038 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*x + 118 + 270 + 4429*x**2 + 0*x - 3*x wrt x.\nAnswer: 8858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 14. Let m = r + -41. Let c be m\/20*(-4)\/3. Solve 9 = i + c*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 918*y + 2766. Suppose 0 = 4*d + 120 - 600. Calculate the smallest common multiple of q(-3) and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52de (base 16) in base 3?\nAnswer: 1002002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7345097, -7345100, -7345103, -7345106?\nAnswer: -7345109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 - 1) - (-277 - -293)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -203 - -205. Suppose n + 2*w = 166, -333 = -v*n - w + 8. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3 - 9938509*k**2 - 39754024*k - 39754020 = 0. Calculate k.\nAnswer: -9938505, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266373 - 266373 - w + 7*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4137?\nAnswer: 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 1\/108*c**4 + 1\/270*c**6 + 0 - 2*c**2 + 0*c**3 + 0*c - 1\/90*c**5. Factor y(w).\nAnswer: 2*w*(w - 1)*(2*w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 7:28 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1984)\/(-10)*(-7 - (2 - 4)). Is 43 a factor of (7 - 90\/12)*f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 b when three letters picked without replacement from bpvvvvbvbbp?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 23*b**2 - 4*b + 96. Suppose 25 = c - 2*f, -99*f - 5 = -94*f. Calculate p(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 13, -3 in decreasing order.\nAnswer: 13, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3, 0.3, 4.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2 + u - 3. Calculate n(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -625 - -622. What is the fourth biggest value in f, -4, -1\/4, -0.07?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2)\/(-3)*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69426 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, d: 4}. What is prob of picking 1 d and 2 t?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*0.100368.\nAnswer: -0.00702576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + 15?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - 71302334?\nAnswer: -71302317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2276 + 146*z**2 - 627*z**2 + 2276)*(0*z - z + 0*z) to i*z**2 + h + s*z**3 + a*z and give s.\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-846)\/(-4))\/((-1)\/(-2)). Suppose -271*n + 35 = -264*n. Suppose 5*m - n*b - d = m, 6 = -2*b. What are the prime factors of m?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.02, -2, 6\/7 in decreasing order.\nAnswer: 6\/7, -0.02, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*m + 0 + 0 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*z + 3*z**2 - 90*z + 172*z in the form i*z + f*z**2 + j and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**2. Let c(o) = -46*o**2. What is c(l(m))?\nAnswer: -1656*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 12*n**2 + 92*n - 1024. Calculate r(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2411.19 weeks in nanoseconds?\nAnswer: 1458287712000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 4736.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -11 + 5 - 567\/(-96). Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-750)*(4425\/(-100))\/(-59)?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + -21. Let z = a + -18. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -862500 rounded to the nearest 10000?\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**2 + 5*o**2 + 3*o**2)*(2*o - 3*o + 0*o)*(-1 + 0 + 3).\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65742921 and 243?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 172013693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8 - (14070\/1071)\/(0 + 2) and -15\/221?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4 + -6 - -4 - (-44)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380555262.\nAnswer: 2, 3, 131, 199, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 2*v**2 + v + 2. Suppose b = 4 + 1. Suppose 3*x + b = -m - 7, -10 = -5*m - x. What is the units digit of n(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqt when three letters picked without replacement from {t: 1, f: 2, d: 6, q: 4}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001996 to 5 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + 2 - 22 - 13) + -1 + 8?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3308816?\nAnswer: 2, 7, 31, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*(y*y*y*y**(-2\/11)*y)\/y*y)\/y**5*y**4\/(y*y**3))\/((y**(2\/3))**29\/(y**(-1)\/y)**(-24)) assuming y is positive.\nAnswer: y**(973\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -4510471\nAnswer: 2255235.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x + 2. Let v(r) = -4*r + 5. Let q(d) = 2*v(d) - 5*w(d). Let y(t) = -t. Determine y(q(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1323\/(-26460))\/(2\/8*2)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -67*b**3 - 2*b**2 - 2*b. What are the prime factors of g(-1)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.41 rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 151362*r**2 + 4*r + 605448.\nAnswer: -(r - 2)*(r + 2)*(r + 151362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3479\/994*(-4)\/(56\/6))\/((-2)\/84)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 35*j**3 + 3*j**2 + 10*j - 160. Is l(6) a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (4 + sqrt(5) - sqrt(5)))**2 + -2 - (sqrt(605)*1 + -2).\nAnswer: -11*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + (-4 - -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/((q**(-23\/4)\/q)\/q)*q\/(q**24\/q)*q\/(q\/(q\/(q*q*q*(q*q*q**(-1\/37)*q)\/q)))*(q*(q\/(q*q**(-10)))\/q)\/q*q assuming q is positive.\nAnswer: q**(-1069\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.2 - -0.2. Let m = -3 - -2.9. What is the smallest value in 3, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxkpxxpygpygpxmyyxxy. Give prob of picking 1 p and 3 y.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 284514*l**6 - 71*l**5 + 105105726*l**2.\nAnswer: 34141680*l**3 - 4260*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 3:56 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 + -85.87. Let n = 3.8 + o. Let p = n - -82.0000111. Round p to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y + 16 = -19*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2562 (b) -0.3 (c) -13 (d) -2 (e) -2\/3 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.04 - -2. Let a = 0.11 + z. Let o = 0.03 - a. What is o rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(2 - (-9)\/(-6)). Let h be -1 + (-1 - m - -3). Solve 8 = 2*c, -4 + 0 = 4*z - h*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 1:49 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -3*d - 5 + 0*d**2 + 5\/3*d**3. Find the first derivative of a(h) wrt h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14688 and 306?\nAnswer: 14688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/9 - (-1484)\/21*1. What is the greatest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*1)**2 + -2 - (5*(sqrt(76) + (sqrt(76) + sqrt(76)*-1 - sqrt(76)) + sqrt(76)))**2.\nAnswer: -1427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 4*b = -54, -2*r = -386*b + 384*b + 22 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -8*k. Let s be 294\/105*20\/1. Let o(z) = -s*z + 56*z - z**2. Give b(o(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/11)*p**(-2\/11)\/p)\/(p**(-2)*p**2))**(-17))**3 assuming p is positive.\nAnswer: p**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/3)\/(12\/(-18)). Suppose -5*x - l*b = -4, 5*x + 2*b - 10 = -3*b. Calculate the remainder when 13 is divided by (x - -1) + (-16)\/(-8 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2213 + 2213 - 3*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y**3 + 4*y**2 + 31*y + 7 wrt y?\nAnswer: -18*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 16 + 236 = -k, 3*t + 3*k = -165. Let i = -6 + t. Let v = i + 65. Solve -d + 4*d = v*z - 8, -5 = d + z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*h - 185*h = 10722. What are the prime factors of h?\nAnswer: 2, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u + 46 = 2*o, 5*o - 3*u - 80 = 0. Suppose 27 = -4*p - o. Let f = -8 - p. Solve f = -4*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27392 divided by 128?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2 - 10*j - 4. Let u be m(-2). Suppose u = -o - 17 - 37. Let n be (-6 + 1)*2\/5. Sort -3, n, o.\nAnswer: o, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2462 divided by 3813\nAnswer: -2462\/3813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40823, 40827, 40827, 40817, 40791, 40743, 40667?\nAnswer: 40557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-147)\/(-36) - 4)\/(-29). Let p = 735\/116 + m. Find the common denominator of (45 + 5)*(1 - -1)\/(-12) and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 84 = 4. Let c = 134 - t. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1.1. Let v = -2.1 + p. What is the nearest to 1 in -5, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12046\/30165 - 4\/6033. What is the closest to -3\/16 in -5, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*j)**19\/(j**(-2\/3)\/j)**(-41) assuming j is positive.\nAnswer: j**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) -4 (b) 0.1873 (c) 10 (d) 0.4 (e) 2 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -193.3 + 193. Suppose 0*l - 4 = l. What is the fourth biggest value in -2\/15, 0.2, l, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 516 = -3*d + 145, 4*d = -4*b + 908. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -11. Calculate the remainder when 10 is divided by 6\/d*40\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-10)\/315)\/((-6)\/(-162)))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2494489, -4988962, -7483435?\nAnswer: -9977908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5923*r + 6013*r - 1530. Let w = 39 + 11. What is the remainder when w is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*s - 13 - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 10 = 4*g - 3*g, 0 = 3*l + 6. Suppose 3*w = -2*i + 12 + 65, g*i + 143 = 5*w. Suppose 3*z - 84 = -w. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 399160 and 35?\nAnswer: 2794120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 579315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 4*q**2 - q. Suppose 0 = h + 3*h - 24. Let x be 0\/(-3) - h\/2. List the prime factors of s(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i - 77. Let g be k(7). Let s(p) be the second derivative of g - 8*p + 1\/2*p**2 + 1\/6*p**3. Differentiate s(c) with respect to c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -5\/4. Which is the closest to -53? (a) 4 (b) 0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7097637*m*w + 15285237*m with respect to w.\nAnswer: 7097637*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w + 5 = -15 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.75758 to 1 decimal place.\nAnswer: 65.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 1)**2 - sqrt(243) - (sqrt(3) + (sqrt(147) - sqrt(3))*-2).\nAnswer: 20*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 - -4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121 - 120221?\nAnswer: -122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34*w*z**3 - 58*w*z**2 - 348440*w + 35*z - 2 wrt z?\nAnswer: 102*w*z**2 - 116*w*z + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 + 3*j**2 + 485 - 125 - 126 - 117.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/9747 and -64\/276165?\nAnswer: 828495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 9*t**5\/40 - 19*t**3\/3 - 51*t. Let a(d) be the second derivative of v(d). Let x(y) = y**2. What is x(a(z))?\nAnswer: 729*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*18\/3*(735\/15)\/147.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(13) + sqrt(13) + -5*(sqrt(117) + sqrt(13))))**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3729 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6393.\nAnswer: 3, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 139210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459656 is divided by 114856.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8 + 1 = 0. Let c(o) = -1 + 21*o**3 - 3*o**2 + 4*o**2 + 2*o - v*o**2. Let d be c(1). Solve -d = 5*b - b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -562*h**2 + 297*h - 20. Let p(z) = 563*z**2 - 264*z + 18. Let g(i) = -8*a(i) - 9*p(i). Let b(q) = 27*q. Determine b(g(w)).\nAnswer: -15417*w**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 5033\/185 and 28 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*j**2*y**3 - c**3*y**3 + 2*c**2*j*y**2 + 2*j**2*y**3 - 36*j*y**3 wrt j.\nAnswer: -2*c**3*y**3 + 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9762, 19611, 29600, 39789, 50238, 61007?\n\"Answer: 10*l**3 + 10*l**2 + 9749*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1525, -6053, -13597, -24157, -37733, -54325?\n\"Answer: -1508*k**2 - 4*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 481 + -318. Suppose 9*j = -n + 181. Determine k, given that 2\/3*k + k**3 + 0 + 1\/6*k**4 + 3\/2*k**j = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/527, 0, 2, -6\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 0*w + 110 = -19*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 28279858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 283893632 - -156244.\nAnswer: 284049876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 111089913 rounded to the nearest one million?\nAnswer: 111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 167 - 557. Let z be n\/(-75) - 2\/10. Suppose 0 = r + 5*k - 24, -z*k = -4*r - r. What is the lowest common multiple of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18, -37, -58, -81, -106?\n\"Answer: -q**2 - 16*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -2.6, 4, -9?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -0.5, -0.3, 2\/3, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3*((-6)\/5 - (-64314)\/13895)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5788*h. Let w(q) be the first derivative of q**3\/3 + 302. Calculate w(m(o)).\nAnswer: 33500944*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*z + 2*z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, w: 1, x: 2}. What is prob of sequence ggx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(312)*3)\/sqrt(6))\/(sqrt(100)*-1*2).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/8)\/(3\/(-12)) - (-523 - 44) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 4*b - 1. Let o be n(3). Let v = 7 + o. What is the remainder when 4 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/28 - 2\/(-7). Let n = 6.2 + -5.8. What is the closest to 1 in n, m, -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 8, a: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 3 (c) 2.8 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 2*a**2 + a + (2*a - a + a)*(15*a - 25 + 25).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*g - 122, 0*g - 2*g = 3*y - 59. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 5*c - 5*c)*(-2 + 1600*c - 1643*c + 1) to l + n*c**2 + r*c and give n.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10)*(-5)\/(-4). Let q = -310 - -315. Suppose 3*i = -v + q, -39 = -3*v - 24. Which is the nearest to 8? (a) f (b) 3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21690301.\nAnswer: 3499, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -13.98. Let q = 4.02 + y. What is the biggest value in 0.5, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 1:24 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.009 + -0.301. Let j = 2017.21 + -2017. Let u = i + j. Which is the nearest to u? (a) 1\/3 (b) -1\/6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*p - 31 + 4*p + 4*p)*(1 + 0 + 1) + p - 5*p + 2*p.\nAnswer: -4*p - 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8388*u + 8390*u - g = -22, -4*g + 16 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7433475 times 0.4\nAnswer: 2973390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 9:04 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -94, -142, -190, -238?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-41))**20 assuming t is positive.\nAnswer: t**(-820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 2*l**2 + l**2)*(-l**2 + 8 + 31 + 99) - 3*l**4 + 0*l**4 + 7*l**4 - 4 + 4 - 2*l**4.\nAnswer: 4*l**4 - 276*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 854 is divided by 115?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 79 + -a?\nAnswer: 6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 9*k + 61. Let h(y) = 7*y. Calculate h(j(l)).\nAnswer: -7*l**2 + 63*l + 427","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 300 = 180. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - w - 2 = 1, 4 = w. Let p = t + -7. Suppose 0 = c + 4*v - p*v - 3, -3 = -c + 5*v. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*1*sqrt(220))\/((sqrt(20)*-1)\/sqrt(5)))\/((sqrt(110)*1)\/sqrt(10) - (sqrt(11) - sqrt(66)\/(sqrt(18)\/sqrt(3)))))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 b when four letters picked without replacement from {o: 10, b: 4}.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h + 11. Let l be n(-9). Let w(j) = j. Let b(q) = -q. What is l*b(v) - 3*w(v)?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i - 3024. Let r be 28 + 0 - 0\/(-992). What is the greatest common divisor of i and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 30*k**2 - 420*k - 1. Let u be p(14). What is the smallest value in 1, u, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363095447 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 527900 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f**(2\/61)*f))*f)\/f*f*f**7 assuming f is positive.\nAnswer: f**(612\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 5:18 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -20*w. Let i(q) = -2*q. Let x(v) = 22*i(v) - 2*n(v). Let o(y) = 2*y - 53. Determine o(x(s)).\nAnswer: -8*s - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 16 = 2*l, -4*l - 3*d - 3 + 9 = -16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1092 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 23 - (-2 - -7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 1, 0.4, -53, -2\/3, -256?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3. Let a(o) = 4 + 2 - 1 + 5*o + q. Let r(u) = -u - 1. Suppose 4*n - k - 15 = -36, 0 = 4*n - 3*k + 15. What is n*r(v) - a(v)?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**5\/60 + i**4\/6 + 2*i**3\/3 - 8*i**2. Let q be -88 + -1 + (-2)\/1. Let j = q + 88. Determine l(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = b. Suppose b = -6*g + 11 - 53. Which is smaller: 0.2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*q, 4*r + 0*r = -5*q + 29. Let j(d) = 5*d - 7*d + 4*d + r*d. Let y(z) = -2*z. What is j(y(u))?\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 101, 202, 303, 404, 505, 606?\n\"Answer: 101*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14082207 a multiple of 1353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34001415, -34001418, -34001425, -34001436, -34001451, -34001470?\nAnswer: -34001493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9*p**2 + 0 - p**3 + 10*p - 6 - 9*p. Let r be b(9). Let w(x) = -1 + 3*x - x - r. What is w(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r + 4. Let j be 6\/(-3)*(2 - 1). Let u(i) = -i + 1. What is j*k(s) + 9*u(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/2)\/(25 + -27). Suppose 3*g + 2*g - 5*h - 125 = j, 3*g - 67 = 5*h. What is the highest common factor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15602 + 302?\nAnswer: 16204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbkk when four letters picked without replacement from {b: 2, k: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 9*m**2 + m + 1. Let l be n(8). Let r = l + 70. What is the remainder when 71 is divided by (5\/15)\/((r\/(-162))\/(-5))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183739469 is divided by 1422?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -15*c**2 + 179*c - 2491. What is k(16)?\nAnswer: -3467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3442517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 - 0.88. Let y = m - -0.34. Let s = -0.06 + y. Which is smaller: -0.2 or s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 5*p - 3. Let g be t(6). Suppose -4*v = -2*w - 42, 0 = v + g*v - 3*w - 47. Solve 0 = o + 3 - v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iivvkkiliibbiliki. Give prob of picking 2 i and 1 k.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1777, -7096, -15961, -28372, -44329?\n\"Answer: -1773*o**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.149186 microseconds?\nAnswer: 149.186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 477307880?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 3)*(6*p - 3*p - p)*(15*p + 16*p**2 - 27*p - 15*p**2).\nAnswer: 2*p**3 - 24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64883, 129671, 194409, 259097, 323735, 388323, 452861?\nAnswer: 517349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53696958 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-576) - (-1659)\/72?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 535 - 525. Solve t + 3*i = -c, 0 = t - 5*t - 2*i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3328311 rounded to 2 decimal places?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from molmaioimluliuia. What is prob of picking 1 a and 2 m?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -11 - (28 + -22 - -6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 11:16 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44155.\nAnswer: 5, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -22. Let l(s) = -6*s - 10. Let u(y) = 2*y + 5. Let w(m) = g*l(m) - 5*u(m). Suppose f = t - 1 - 0, f + 6 = 2*t. Give w(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - z - 5 = -6, -4*z = 2*j + 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-two fifths of a microgram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 10) in base 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -667*j**3 + 143*j**2 + 21*j**2 + 237*j**3 + 172*j**2 - 90*j**2 wrt j?\nAnswer: -2580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in 1181\/4, 0.01, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlv when three letters picked without replacement from vvlv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 3. Let o be m(4). Suppose 2*u - o*u - 10 = 0. Which is the closest to 2\/9? (a) -0.3 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2614 = -186. Calculate the greatest common factor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*w**4 + 4*w**2 + 911.\nAnswer: -204*w**3 + 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7 - 3 - 1 - f. Let u be d(4). Let l = 110 - 115. What is the second biggest value in u, l, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-8)*124\/(-4185).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70213.11 rounded to the nearest 100?\nAnswer: -70200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 1499827?\nAnswer: 1499823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860090 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 + 86 = -58*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 287 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(468) + -1 - -3*(sqrt(13) + -2)) + (-5 + (-2 + sqrt(13) - sqrt(13)))*1 + -2)**2.\nAnswer: -576*sqrt(13) + 2618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11424, 11393, 11362, 11331, 11300?\n\"Answer: -31*x + 11455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 + 67*c - 473. Give t(24).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 27*f**2 + 23*f - 8. Let c be (-4 - -1) + (-17 + 66 - 18). Give q(c).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -85? (a) -4 (b) -3\/5 (c) -0.0036 (d) 0.1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3b9 (base 13) to base 12\nAnswer: 46b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-49)\/(-4)))\/2*7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3941*b = -29244 - 25930 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {t: 2, k: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-3)*(-645)\/10. Let w = v + -163. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 973 and 4011?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -1)*(-57)\/(-2). Let q = l - -62. Let p(y) = 8*y + 6. Let h(k) = -7*k - 5. Let i(t) = q*p(t) + 6*h(t). Let j(g) = -16*g - 1. What is j(i(m))?\nAnswer: 32*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7199296 by -7199296.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -252*x**2 + 53 - 16*x**3 - 29 + 76*x + 168*x**2.\nAnswer: -4*(x - 1)*(x + 6)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 60 = -94 - 2, -2*s + 0*s + 158 = 4*n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2029888 divided by -7\nAnswer: -289984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 338595?\nAnswer: -338595.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 2, 0 in increasing order.\nAnswer: 0, 2, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6430218 is divided by 1818.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1853 + -22\nAnswer: -1875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2\/(-4)*(160\/(-88))\/(-20)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z - 4*z - 32 = 0. Let r(g) = g + g**3 + 1 + g**2 - 2 - 2*g**2. Let l(s) = 3*s**3 - s**2 + s + 1. Determine z*l(m) + r(m).\nAnswer: -2*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 144941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173.826 - -187.2. What is b rounded to one dp?\nAnswer: 13.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**2 + 231270*n - 2674290645 = 0.\nAnswer: 23127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/6*(-4)\/(-64)*12. Calculate the remainder when (z - -248)*(-2 + (-49)\/(-21)) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3) - sqrt(27)) + sqrt(6)\/sqrt(2) + -2.\nAnswer: -2 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1136 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3941871374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-6) + (-326)\/(-6) is divided by ((-28)\/6 + 5)\/(2\/84)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 10, -5*t + 124 = -0*d + 2*d. Suppose 0 = -6*v + 2*v + g + t, -5*g = -4*v + 24. Let q = 29 + -27. Solve -b + v = s, -q*b = 4*s + b - 19 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 4, -0.02, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1411c1 (base 13) to base 11\nAnswer: -303761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 296\/3 + (-1)\/(-3). Let j = -12 + 21. What is the highest common divisor of j and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23068, 23078, 23088, 23098, 23108, 23118?\nAnswer: 23128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 2*j + 3*j)*(3 - 3 + 1) + ((3 - 3 - 2)*(-2 + 3 - 2) - 3 + 4 + 1 + 1 - 3 + 1)*(-4*j - 2*j + 3*j).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -8. Let b be 4 - j - (-20)\/1. Let f = b + -7. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143.93 + -144. Which is the nearest to 2\/7? (a) 0.3 (b) 0.02 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535.4648 meters to centimeters.\nAnswer: 53546.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 894*k**2 - 2676*k**2 + 895*k**2 + 894*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 325 + -254. Suppose 4*j + 5*o - r = 0, -3*j + 5*o = -6*j + 47. What is the highest common divisor of j and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a meter in millimeters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 5*n**2 + 4*n - 2. Let h be c(-2). Suppose 0 = -h*z - 3*z. Suppose z = 3*y + 2*y - 2650000. Round y to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18370853.\nAnswer: 19, 947, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904\/3570 - (-4)\/(-30) - (1310\/225)\/(-1)?\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**3 + 18*s**2 - 10*s - 78. Calculate f(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52788 and 69720.\nAnswer: 3695160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459.6 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/72 and 47\/9108.\nAnswer: 18216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 824.4 days in seconds?\nAnswer: 71228160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -0.1 (c) -354 (d) 15 (e) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k + k**3 - 3*k + 0*k**3 - 1 - 2*k. Let u(s) = 3*s**3 + 2*s - 2. What is 4*i(g) - u(g)?\nAnswer: g**3 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10, -18, -58, -104, -150?\n\"Answer: k**3 - 12*k**2 + k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3 - 71124*r**2 - 284520*r - 284528 = 0.\nAnswer: -2, 35566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-1 - 11) - (1 - 4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1887 + y + 4*y + 2*y - 2*y.\nAnswer: 5*y - 1887","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274781177 to the power of 1\/3, to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-168)\/210)\/(4\/(-10)). Let a(p) = p + 2. Let v be a(0). Solve -v*q - d*q - 4*i + 12 = 0, 9 = 5*q + 3*i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -7*d**2\/2 + 14*d + 450. Determine v(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105 - -105.2. Which is the nearest to r? (a) 5 (b) -0.4 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a + 12*a - 54 = 0. Solve 0 = -2*y - a*c - c - 12, -5*y - 3*c = 21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**5 + 1561*w**4 + 10*w**3 + 166*w**2 - 2.\nAnswer: 120*w**2 + 37464*w + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35530 is divided by 163?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2201222211 (base 4) to base 9.\nAnswer: 1218306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*n = -8*n - 591, 985 = 5*d + 2*n. Let a = 413 - d. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 7*r + 10. Let c be (-3 - 1) + (1 - r - 3). Solve -c*w + 10*w = -12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -18.5. Let q = 2.5 - x. Which is the closest to -0.04? (a) q (b) -5\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from llvuvuuuullv.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v + 135 = 29*v. Let g = v - -75. Suppose 0 = -x - 3*a - 2*a + g, 5*a = -2*x + 80. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 6. Let p be 4\/14 - (-2)\/((-42)\/237). Calculate the remainder when 13*-1*(1 + -2) is divided by v(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2. Let a(t) = 163*t**2. Give j(a(f)).\nAnswer: -26569*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22232\/45 + 494. Let k = -41\/90 + z. Let s = 19\/2 - 73\/8. Put s, -1\/7, k in ascending order.\nAnswer: k, -1\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 6*j**2 + 2*j + 14. What is h(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98625 - 0.5045853918?\nAnswer: 98624.4954146082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3*f + 399. What is the remainder when f is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -4\/3, -2\/61, -2\/13 in decreasing order.\nAnswer: 2\/5, -2\/61, -2\/13, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/((-122)\/(-5368)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -987*h**2. Let b(m) = 6*m**2. Give c(b(r)).\nAnswer: -35532*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15\/7 (b) 4 (c) 55.8 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/27 and 113\/126315396?\nAnswer: 126315396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 981*u + 1 - 953*u + 0 - 1.\nAnswer: 28*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (-8 - -4) - (-5 + 5)) + 30 + -117?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c + 1 + 0*c - 3*c + 8*c - c**3. Let u(p) = 4*p**3 + 8*p + 8. Determine -8*n(d) + u(d).\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*z - 1. Suppose -5*d = 5*t - 10, -4*d + 0 = -z*t - 20. Solve -2*n = -6*n - d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1125750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*v = -5*o, -3*v = -3*o. Suppose 2*d + 0*d = o. Solve d*h = -2*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 0 + 4. Let f = 19 - 18.89. Let s = f - 0.11. Which is the second smallest value? (a) l (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*q + 970*q - 243*q - 243*q - 238*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {b: 5, w: 5, l: 4}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*w**3 - 34*w**3 - w**2 + 3*w**2 in the form g*w + z*w**2 + y + q*w**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p = -100. Suppose -p = -n - 3*n. Let q = -2 - -1.8. Which is the closest to q? (a) 0.3 (b) n (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2) + -2)*(-2900)\/30. Suppose 148*f = j*f + 984000. Round f to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 + (14 - (-12 + 23)) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189720 and 87420?\nAnswer: 8916840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5 - 57*i**4 + 90*i**3 + 4902*i**2 + 9321*i + 4563 = 0.\nAnswer: -13, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 0*j**2 - j**4)*(-5 + 17 + 28)*(0 - 3 + 6) + (0 - 2*j + 0)*(2*j**3 - 5*j**3 - j**3).\nAnswer: -112*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + 47. Let u = 93 - c. Let w(v) = -23*v - 8. Is 26 a factor of w(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7 = -m. Solve 1 = 2*i - m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4387680 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 1, h: 1, i: 2, r: 3, q: 3}. What is prob of picking 1 q and 1 z?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*o + 2)*(2*o**2 + 0*o - o + 0*o)*(0 - 2 + 3).\nAnswer: -4*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*k - 38*k + 10 = -h, -5*k = 5*h + 30. Put k, 1034, 3 in ascending order.\nAnswer: k, 3, 1034","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/20 + (-3)\/15. Let r = a + 4. Solve 2*x - r = -5*d + 4*d, 8 = 4*x + 4*d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2639, -4191, -5743, -7295?\nAnswer: -8847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12*(6\/(-4) + 2). Let p(i) be the third derivative of i**4\/24 - i**3\/6 - 2*i**2 - 971. Determine p(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 - b**2 + 4*b - 1. Let m = 7500 + -7498. Let k(w) = w**3 - w**2 + w. Calculate m*d(h) - 2*k(h).\nAnswer: 2*h**3 + 6*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2375 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3 = 86*v - 87*v, 2*p - 8 = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16955950 + 26155965. Suppose 3*j - 13800025 = -5*t, 0*j - 3*t + m = 2*j. What is j rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -169*x. Let b(r) = -96*r - 208. Determine m(b(n)).\nAnswer: 16224*n + 35152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -4\/9, 332, 5\/6, 2 in decreasing order.\nAnswer: 332, 4, 2, 5\/6, -4\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46570 - 46568. Suppose 2 + 11 = 2*h - 5*f, -3*f = 2*h - 5. What is z in 6\/11*z - 12\/11*z**o + 6\/11 + 6\/11*z**5 + 6\/11*z**h - 12\/11*z**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 18 = -s - 14, 4*o + 2*s = 20. Let k(w) = -w**3 + 6*w**2 + 8*w + 1. Let i be k(o). What is the units digit of 24*-1*(-4)\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 6*c + 3. Suppose 2*s - 23 = -3*x - 2*s, 0 = x - s - 3. Calculate n(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, k: 7, f: 1, m: 6}. What is prob of sequence mmmb?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 5380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 36 + 15. Let z(u) = u**3 + 8*u**2 + 7*u - 3. Suppose -4*c - 5*y + 0*y = -4, -8 = -2*y. Calculate the remainder when z(c) is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454*y = 452*y + m + 344, -y + 4*m + 186 = 0. Let x(i) = -i**2 + 18*i - 9. Let b be x(11). Calculate the greatest common divisor of y and b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1328 + 1330. What is the third biggest value in -55, j, 2\/7?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -8.0235.\nAnswer: -2.40705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4242*m - 16 - 5*m**2 - 4235*m + m**3 + 11. Suppose 0 = -2*i + i - 3. Let w be (-2)\/i*(8 + -2). Determine z(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -860 divided by 215.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 219 - 74. Suppose 0 = 3*g + 6, -4*q + 5*g = 7 - z. Let h be -1 + q + 6\/(-3). What is the third biggest value in h, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*x + 7*x - u, 4*x = 5*u + 30. Suppose 0 = x*d + 4 - 49. Suppose -y = -4*i + d, -i - 5*y + 8 = -10. Which is greater: i or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 38 (c) -1 (d) 2\/81 (e) 0 (f) 99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*x - 1 = -4, 2*w - 3*x - 2 = 0. What is the tens digit of (20\/(-14)*w)\/(9\/(-252))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -6. Let d = i + 4. Suppose 4*f - 71 = -4*j + 97, 0 = d*f - 5*j - 150. Calculate the greatest common factor of f and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597482701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**3*n)))**(-18)\/((n**(-5\/3)\/n)\/(n\/(n**(-22)\/n))))**(-1\/5) assuming n is positive.\nAnswer: n**(136\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 7*x - 9 + 0 + 2. What are the prime factors of p(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1608)\/3015*15\/80.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131460?\nAnswer: 2, 3, 5, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-12) - (-8 + 390\/33)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6)*(-2 + 6 - 1). What is the closest to -1 in 5, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-7748\nAnswer: -774.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50100744*x - 27494731.\nAnswer: 50100744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-342)\/54)\/(1 + (-5)\/6). Let f = 37 + w. What is the closest to f in -2\/17, 1, -0.02?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6*m**2 + 8*m - 8. Let y be (-140)\/42 + 1\/3. Let c(x) = -2*x**2 + 3*x - 3. Let u(o) = y*j(o) + 8*c(o). Let s(q) = 2*q**2. Give s(u(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 16 = -4*h, 2*k - 3*k = 0. Calculate the greatest common factor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 10*f - 7. Let l = -593 + 599. Let u(q) = 2*q - q - l*q + 3*q + 4*q. What is x(u(h))?\nAnswer: 20*h - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*d - 4*d - 5 = 0, -30 = 5*z + d. Let b = -1 - z. Find the first derivative of -65*k**4 - 5 + 0 + 57*k**b wrt k.\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2619399 is divided by 492?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - t - 47. Let g(i) = -22*i**2 - 36*i + 636. Let f(v) = -g(v) - 10*h(v). Give f(-26).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*3\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109125462?\nAnswer: 2, 3, 61, 298157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t - 113. Calculate c(-15).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159.00000194 + -159. What is o rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9 and -781.\nAnswer: 1483.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 3:25 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8936886596?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 19\/2*i**3 + 0*i + 1\/30*i**5 + 0*i**4 - 1 - 18*i**2. Let v(w) = -2*w**2. Determine v(q(c)).\nAnswer: -8*c**4 - 456*c**2 - 6498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7383 = -g, -18*g - 5*y = -17*g - 7359. What are the prime factors of g?\nAnswer: 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 238205*y**3 + 300547*y**2.\nAnswer: 1429230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 6. Let l(k) = k**2 - k - 7. Calculate -3*l(w) - 2*o(w).\nAnswer: -3*w**2 + w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdwwldmddiwjdjw. What is prob of sequence il?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5, -4*n - 2*j = 3*j - 95. Let m = -11 + n. What is the remainder when 36 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -79677, -318745, -717209, -1275075, -1992349, -2869037, -3905145?\n\"Answer: -j**3 - 79692*j**2 + 15*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -4, -9351*l + 9355*l + 10 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 120*v**2 - 32. Let w(k) = 49*k - 8. Determine w(s(t)).\nAnswer: 5880*t**2 - 1576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 11 (c) -1 (d) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -6*g**2\/5 - 3348*g\/5 + 3354\/5 = 0.\nAnswer: -559, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*f - 33 = 40, 5*q + 4*f = -81. Suppose 4*m + 6 = -z, -8 + 3 = 2*z + m. Put z, 0, -1, q in increasing order.\nAnswer: q, z, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 - 1 = 0. Let p = -6 + 6. Sort p, q, 5 in increasing order.\nAnswer: p, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8084\/3045 - -88\/435. Factor -150\/7 - 2\/21*h**2 - q*h.\nAnswer: -2*(h + 15)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u - 7398. Let j(h) = h - 1058. Determine -22*j(f) + 3*w(f).\nAnswer: 2*f + 1082","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/70*(-84)\/36. What is the nearest to c in -7, -46, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17867791 - -a?\nAnswer: -17867782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0*n + 20. Let t be (n\/4)\/((-1)\/(-72)). What is t rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123409455?\nAnswer: 3, 5, 13, 79, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 155*s**4 - 8 + 3*s**5 + 8 - 5015*s**2 + 5841*s**2 - 4*s**5 wrt s.\nAnswer: -60*s**2 + 3720*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/22*33\/(-18). Suppose -25\/6*t + 0 - 5\/2*t**2 - d*t**4 + 3\/2*t**3 = 0. Calculate t.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 45 = 4*p, -3*p = -0*p + 3*g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 321, 992, 2293, 4434, 7625, 12076?\nAnswer: 17997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -1 + -60 + 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 4. Suppose -5*a - 15 = 10. Calculate the remainder when g(a) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 6*f + f - 7 + f. Suppose -3*k - 6 = 2*z - 0*k, 5*z + 2*k + 26 = 0. Does 5 divide v(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 19*c**2 + 12*c + 11. What is the lowest common multiple of x(-1) and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 17. Find t, given that -2\/5*t**3 + 2\/5*t**c - 2\/5 + 2\/5*t = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 1. Let d(f) = -3*f + 2. Let g(b) = d(b) - 2*i(b). Let u(n) = 7*n**2 - n. What is u(g(y))?\nAnswer: 7*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 - 2*x**2 + x + 2*x**3 + 3*x - 5*x to the form p*x**2 + u + o*x**3 + g*x and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 258679 at most as big as 258678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**2 - n**2 - 3*n**3)*(3 - 5 + 1) + 6*n**2 + n**3 - 6*n**2 + 11*n - 12*n + 2 + 12*n**3 - 3 in the form q + f*n + k*n**3 + h*n**2 and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3937 and 866140.\nAnswer: 866140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**1)\/y)**(-4\/19)\/((y*((y\/y**(-2))\/y*y)\/y)\/(y**9\/y)))**(16\/9) assuming y is positive.\nAnswer: y**(1456\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -10*z - q + q - 60, 54*z + 4 = 55*z - 3*q for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p\/p**(-5\/4))\/p**(-3)*(p**1)**11 assuming p is positive.\nAnswer: p**(77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(20)\/sqrt(64)) - ((sqrt(363) - -1*sqrt(363)) + 3) - (sqrt(3)*1*-6 - (-2 + (sqrt(3) - sqrt(12))) - sqrt(15)\/(sqrt(35)\/sqrt(63))))**2.\nAnswer: 100*sqrt(3) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 - 6601*k - 43573201.\nAnswer: -(k + 13202)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 7 = 5*k. Let z be (k\/(-20))\/(-2 - 56\/(-30)). Let v(q) = q + 1. Let b(d) = 5*d + 7. Let x(a) = -b(a) + 6*v(a). Determine x(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -279, -563, -847, -1131?\n\"Answer: -284*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*q + 1212 = 0, -4*q + 1000 - 112 = 3*s. Let t = s - 166. List the prime factors of t.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v + 230 = 0. Let p = -229\/5 - v. What is the third smallest value in -0.5, -1\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1. Let k(d) = -16*d**2 - 16. Let g(v) = v**3 + 15*v**2 + 41*v + 61. Let i be g(-12). Give i*k(b) - 16*l(b).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhkhhhhh. Give prob of picking 2 h.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1641102041 to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 15. Suppose -74*r + 154*r = 86*r + 24. Which is the nearest to 2\/5? (a) 4\/3 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 (base 9) in base 16?\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 57*s**2. Let b(v) = 9*v**2 + 32. Determine b(z(l)).\nAnswer: 29241*l**4 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*m + 38*m + 26 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r\/(r\/(r\/r**11)))\/r)*r)*r)**(-44)*(r**(2\/5))**(-2\/79))**(8\/3) assuming r is positive.\nAnswer: r**(1529408\/1185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 13315645?\nAnswer: 13315645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 12*p - 2. Let r be h(9). Let n = r - -40. Solve -5*b = -9 - n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 112 + -431. Let x = 333 + h. Solve 16*d - 8 = x*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 29*l**5\/30 - 89*l**4\/12 + 2*l**3 - 10863*l**2. Solve g(z) = 0 for z.\nAnswer: 2\/29, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/5))**(14\/11) assuming j is positive.\nAnswer: j**(-28\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67014 and 238.\nAnswer: 469098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-39)\/(-24) - 2)\/((-15)\/20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -949 - 311*r**3 + 949.\nAnswer: -311*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 208\/(-32) + 10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5922 = 169463*w - 169040*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19143, 19210, 19273, 19332, 19387, 19438, 19485?\nAnswer: 19528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3827, -7645, -11455, -15257, -19051?\nAnswer: -22837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.026 (b) -529 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18305 = -5*i - y, 5*i + 5*y - 18305 = y. Find the common denominator of 4\/(-18) + i\/315 and 47\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwwvvwwvwh. Give prob of sequence hww.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(9*3\/(-540))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-15)*(-3)\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 2*v + 15 = -s, 6 = -3*s - 2*v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -66.56 (b) 7\/4 (c) 177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 - -90. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*r, -3*i + 0*r - 3*r = -24. Suppose i*v = v. Let n = -23903058\/5 + 4780611. What is the closest to n in 4, v, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4740, 4754, 4768?\n\"Answer: 14*l + 4726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*s. Let i be (8\/(-14))\/((-5)\/((-70)\/(-4))). Suppose s*w - 10 = -i*w. Sort 1, -5, w in descending order.\nAnswer: w, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 153*m**3 - m**2 + 5*m - 3. Let x be h(1). What is the highest common divisor of x and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 5*r - 35, 0 = -102*x + 108*x - 3*r + 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 16*x**3 + 7*x**2 + 32*x. Let l(k) = 33*k**3 - 67*k**3 + 37*k**3 - 2*k**2 + 3*k**2 + 6*k. Let m(h) = 6*c(h) - 33*l(h). Factor m(b).\nAnswer: -3*b*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (0 - (11 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -492 - -2013\/4. Let h = z - 487\/44. Let l = 434\/57 + -472\/57. Which is the closest to l? (a) h (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*sqrt(475) + 4)**2.\nAnswer: -210*sqrt(19) + 4324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-1 + 0)*-1. Let w = n - 1. Determine m so that -2*m**3 + 0*m**2 + 0*m**2 - w*m**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 4.1. Let f = x + -4.2. Let r = -2.6 + 3. Which is the biggest value? (a) f (b) r (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 40, -5, 1\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 7673*i**3\/6 + 9933*i**2\/2 + 3331*i - 3. What is the derivative of u(x) wrt x?\nAnswer: 7673","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 5.7. Let j = 0.95 + -0.25. Let s = j - u. Which is the nearest to -2\/3? (a) -0.5 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2407946090 to the nearest integer?\nAnswer: 49071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-111276)\/33720)\/(2\/(-6)*(-15)\/20*6).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 6:38 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(-1)\/(-63)*-12*(-18)\/(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 220, 211, 202, 193, 184?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12051, 3, -5 in ascending order.\nAnswer: -5, 0, 3, 12051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 2*b**2 - 2*b + 1. Suppose -3*s + 5*z = 0, -5*s + 28 = -0*z + z. Suppose 17 = s*i - 8. What is the remainder when n(i) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2 = 3*t + 6 - 19 + 10, 0 = -25*t + 4*o + 153 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5890 is divided by 1898?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -21. Let t(k) = -k**2 - 7*k - 1. Let q be t(c). Suppose a - 3*l = 4, 5*l + 2 = 3*a - 10. Solve -2*d + 2*n + 9 = q*n, 3*d + a = -n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795338001?\nAnswer: 3, 167, 176389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*k = 56, 3*c - 3*k = 2*k + 182. Suppose -4*f + 17*d = 20*d - 61, 5*d + 37 = 2*f. What is the remainder when c is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27765418?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4)*-3*-1048. Suppose 51*p - 84*p + 819 = 84*p. Suppose p*x = x + n. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8876074.43+0.1\nAnswer: -8876074.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 + -31. Is 29 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29148 and 8949528?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o + 18 = 0. Let n(k) = -k + 12. Let b be n(o). Find the second derivative of 2*g - 3*g**3 - 2*g**5 + b*g**3 wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**1*j*j)**(26\/9))**(-24))**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -57\/32 (b) 0.3 (c) 1 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 453\/72 + -1 + -9 and 145\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3152 = -v - 3*v. Let q be 3\/(-6) + (-390)\/v. Let l = q + 206\/1773. Which is the biggest value? (a) l (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 0 + 10*g**3 + 16 - 1 with respect to g.\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3199 + -3166. Calculate the remainder when 115 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -23*d**3 - 37*d**2 + 648. Let p(a) = -17*a**2 - 3*a**3 - 5*a**3 + 2*a**2 + 3*a**2 + 216. Let h(r) = 6*o(r) - 17*p(r). Factor h(k).\nAnswer: -2*(k - 3)*(k + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 + -7161\/68. Find the common denominator of 5\/(-14) + 14\/(-49) and n.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*1*-6 + sqrt(76))\/(sqrt(20)\/(sqrt(15)\/sqrt(3))).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(3\/(-7)) - -1. Let r be (-506)\/(-34) - 26\/(-221). Let i = r + y. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2926 divided by 14?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -99791*c**3 - 6027769 wrt c?\nAnswer: -299373*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -464 + 466. Let b = -26 - -11. What is the third smallest value in f, b, -1\/6, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*i + 2*w - 53, 8*i + 5*w - 6*w = 4*i + 71 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 926*i**5 + 1755*i**2 - 8339502*i**3 + 8339502*i**3 wrt i.\nAnswer: 55560*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -31*b - 581. Let z be k(-25). What is the highest common divisor of z and 2037?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2610443 or 2610444?\nAnswer: 2610444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1705 + -bad?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 3*k + 3. Let z be s(3). Let b(c) = 7*c**2 + 2. What is the tens digit of b(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30494 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-80)\/((-5 + 8)\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 - 19*h**2 + 38*h + 9. Calculate w(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (-18 + 29 + -12 + 1 + (8 - 1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 242 + 82 = 0. What is the remainder when 738 is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + y + 23. Let g be c(0). Find the first derivative of g*v - 23*v - 3*v**2 - 1 wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2939 - 2948. Let z(i) = -i**3 - 12*i**2 - 26*i + 13. What is z(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*((-4)\/2 - -3). Let t(w) = a*w**2 - 2 + 2*w**2 + 1. Suppose 51*i - 198006 = -197853. Let y(x) = -2*x**2 - x + 1. Calculate i*t(o) + 2*y(o).\nAnswer: 2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -4)*(-3)\/(-2). Suppose -g - 98 = -2*n, g + 254 = 5*n + z*g. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8647954 milliseconds in nanoseconds?\nAnswer: 864795.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1966*w - 1658. Let j(t) = -33*t - 1. Let m(g) = -j(g) - v(g). Find the first derivative of m(p) wrt p.\nAnswer: -1933","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -1133 - 402. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjzqzzjj. Give prob of sequence zjj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50458\/3 - 16650. Let d = 168 - n. Let r = 0.6 - 0.1. What is the third biggest value in d, r, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1179 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 + 3.02. Let u = p - -2. Let w = 5.1 - u. Which is the closest to w? (a) -4\/3 (b) 0.08 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39539, -39525, -39473, -39365, -39183?\nAnswer: -38909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbo. Give prob of sequence bp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*w - 114*w = 45 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1282238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 10*a**2 - 10*a + 6. Let t be p(11). Let l be -3 - 2*t\/(-10). Factor 0*o - l*o**3 + 0 + 2\/5*o**2.\nAnswer: -2*o**2*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -456 - -451. Let p = 3 + -3.2. Let f = 39\/2 - 21. What is the third biggest value in p, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - z. Let u(n) = 2*n + n**2 + 4*n - 6*n**2 - n - 1. Calculate 3*g(f) + u(f).\nAnswer: -2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 3 = -480. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*u + 16 - 16)*(-24*u**3 - 28*u**3 - 34*u**3) + 3 - 3 + u**4.\nAnswer: 947*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 12. Suppose -5*w = -j - 11, 5*j - w = w + 37. Let n be u(j). Solve n = -r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38\/7 or 20443\/5?\nAnswer: 20443\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/172 and -47\/1226.\nAnswer: 105436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*a - 2*a - 3*a)*(1 + 0 - 2) + 7*a + 9*a - 2*a + (1 - 2 + 0)*(-a - a + 5*a))*(-6*a**4 + 2*a**4 + a**4).\nAnswer: -39*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -905930*a**5 + 10987668*a**4 - 56822606*a**3\/5 + 6479668*a**2\/5 - 65928*a\/5 + 176\/5 = 0.\nAnswer: 2\/365, 2\/17, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3978694.\nAnswer: 2, 157, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 362075929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 10992*y**2 + 68*y + 379. Is x(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 185\/7 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 r, and 2 w when four letters picked without replacement from {i: 2, n: 1, w: 3, r: 2, o: 6}?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/21658 and 87\/182.\nAnswer: 21658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/4381 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j + 47597 = -12*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2280)\/(-4180)*(-88)\/(-3)*12\/8\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3875 + 3818.54. Let z = i - -56. Let d = z - 0.04. Which is the closest to 0.1? (a) d (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6*(-6 + 15). Let w be ((3 - 3) + -3)\/(p\/18). Suppose 21*g - w*g - 9 = 0. Solve -u + 1 + g = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60676772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - 4*a + a**2 + a as o*a**2 + d*a + c and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -292\/3, -25, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 1.3, -0.5, 2, -4 in ascending order.\nAnswer: -4, -2, -0.5, 0, 1.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-1)*(-3)\/6. Suppose 12 = -2*x - 0*x. Let w be (-40)\/(-15) + x\/9. Solve h = w*a + 2 + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66705 + -47044?\nAnswer: 19661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 12. Let a(k) = -69*k - b - 9 + 74*k. Is a(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 884327 divided by 1.\nAnswer: 884327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 4:12 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oiyiooo. What is prob of picking 2 o and 2 i?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 17*w**2 + 20. Let l be h(-17). Suppose -9*z + l*z = 3069. What are the prime factors of z?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 27 + 3*g**2 + 3*g**2 - 5*g**2 + 0*g**2 + 13*g. Let h be f(-10). Let s(y) = 1 - 3 + 0 + 4 + y**2 + 4*y. What is s(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.53074 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -544\/9 - -60. Let v = -3.3 + 1.3. What is the fourth biggest value in -4, 0.5, w, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 15697242?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -a + 2, 0 = 3*a - 4*f + 29 - 45. What is the third derivative of 302*v**5 + 15 - 332*v**5 + a*v**2 - 6*v**2 wrt v?\nAnswer: -1800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 23. Suppose -k*s + 50 = 4*z, -2*z - 48 = -4*s + 3*z. Suppose -4 - 14 = -3*i - 2*g, 5*i - g - s = 0. Put 2, i, 0 in descending order.\nAnswer: i, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 16 = 5*i, 9*s + 20 = 4*i + 5*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p + 6*p**2 - 16 - 3*p - p**3 + 11. Let i be j(5). Sort -2, i, -4 in decreasing order.\nAnswer: -2, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = u + 14, -4*m - 29 = 2*u - 51 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03477638 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -97?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 197 or -2\/9?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -403759, -807718, -1211677?\n\"Answer: -403959*q + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 170 * 29\nAnswer: 4930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4 = 1. Let w(p) = -p**2 - p. Let r be w(k). Is r + (6 - (0 + 0)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**7\/315 - c**6\/180 - c**5\/90 + c**4\/36 - c**2 - c. Solve k(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35415 is divided by 35368.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 234, 237, 242, 249, 258, 269, 282?\n\"Answer: a**2 + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7 times 0.4?\nAnswer: 1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3145 - 1671. Is v a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 217 - 7 = 0. Suppose 0 = 27*g - v*g + 22. What is the highest common divisor of g and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 18 = 2*b. Suppose -3 = -3*q, -2*r - 2*q - 7 = -7*q. Does 6 divide r*18*2\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -286 + 287. Sort 36, n, -3 in decreasing order.\nAnswer: 36, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 - 10*h**2 - 4*h + 34. Calculate z(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 155 and -0.1457253?\nAnswer: -22.5874215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -37, -55?\n\"Answer: -18*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*w + w - 5*w)*(0 - 1 + 3)*(50 + 26 - 4) as y*w + d and give d.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7 - 3525\/6)*(-2)\/1 is divided by 210?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22361 is divided by 520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -8 (c) -2\/17 (d) -0.01 (e) 5 (f) -1.72\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c74cd (base 16) to base 10.\nAnswer: -816333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 0 - (-15 + -13 + (-3 - (-14 + -14)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 99*z**2 - 108*z - 728. Determine m(-100).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029935 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, m: 12}. What is prob of picking 2 c?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/((-780)\/(-264))*153\/(-34)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -292 - -424. Suppose 4*k = k + r. Let h = 66 - k. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6187979 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/89)\/m)**(-40)\/((m\/m**(2\/47))\/m*m\/m**41*m) assuming m is positive.\nAnswer: m**(326875\/4183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + 3.7. Let f = t - 3.2. Let j = 0.9 - f. Is j less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r = -o - 42*r + 23*r - 41, -2*r + 14 = 8*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 28 = 6*o. Suppose 3*p = b + 14, -o = 3*p - 4*p + 2*b. Solve -4 = p*y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvmxvgvvmvmxnvmmmmn. What is prob of sequence vg?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from yybzbttybybtyybzbby?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*y = 14, 0 = 4*j - 2*j + 2*y - 8. Solve 50 = j*r + 59 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4868360.1 from 0.1.\nAnswer: -4868360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 10. Let v be p - 0\/(-3)*-1. Suppose 5*x = -k + 115, -4*x + v*k = -0*x - 73. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 4*v**2 + v - 8. Suppose -3*g + 16*g = 26. Let f be m(g). Solve -f*c = -3*c + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 3660.\nAnswer: 29280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 934345.5 micrometers in meters?\nAnswer: 0.9343455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -69*(-4)\/(-148) - -2. Let h = c + 123\/185. Let h*i + 2\/5*i**2 + 0 = 0. What is i?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 498 divided by 6\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 349241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 65539 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*g + 1 = 19, 3*l + 5*g + 37 = 0. Let n(o) = 186*o**2 - 9*o - 17. Is n(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -2. Suppose 3*p - 53 = 4*p. Let x = p - -372\/7. Sort -2, d, x in descending order.\nAnswer: d, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 19*p. Let a(w) = 2059*w - 1016*w - 1006*w. Give 4*a(r) - 7*n(r).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1103349\/5 - -219825. Let w = -848 - l. Calculate the common denominator of w and -133\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + l**2 - l. Let z(j) = -33*j**3 - 3*j**2 + 3*j. Determine 3*g(m) + z(m).\nAnswer: -36*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 5*k - 169. Let o = -165 + 168. Suppose o - k = -i. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 32. Let q(c) = -3*c + 24. Give -5*q(z) - 4*y(z).\nAnswer: 3*z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -739*c**2. Let b(p) = 2*p. What is b(f(j))?\nAnswer: -1478*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -129 + 45 - 28*o**2 + 84 - 188*o - 40*o + (4 - 4 + 2*o)*(2*o - 3*o - o).\nAnswer: -32*o**2 - 228*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -14. Let j = r - 16. Let f = 2 + 1. Which is the third smallest value? (a) 4\/3 (b) f (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*g**2 + g - 370*g**2 + 169*g**2 - 16*g**3 - 2*g.\nAnswer: -16*g**3 + 8*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(12)\/sqrt(3))*-3)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -22*f - 45. Let o(c) = 9*c + 23. Let n(b) = -7*o(b) - 3*y(b). Calculate n(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 4*d**2 + d**2)*(-82*d**2 + 81*d**2 - 120*d**2)*(1 - 1 + 2*d)*(-29 + 14 + 4).\nAnswer: -2662*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19387 + -678602\/35. What is the common denominator of t and 61\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 9686015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2104*o + 1059*o - 111 + 1039*o. Determine q(-11).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 637.6 + -419.78. Round t to 0 decimal places.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 3. Let x(a) = 2*a**3 - a + 7. Let f(v) = -v**2 - 3*v + 10. Let u be f(5). Let k = 37 + u. What is k*s(z) - 3*x(z)?\nAnswer: z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4223955 divided by 11145\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**2 - 3*s + 49. Let b(r) = 9*r**2 + 5*r - 98. Let y(l) = 4*b(l) + 7*q(l). Let x(o) be the first derivative of y(o). Determine x(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 15*d - 8*d - 9 - 6*d. Let u be 0\/(4 + 3\/(-1)). Calculate r(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010000101 + 10101?\nAnswer: -11001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - -13?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 2*r = -i - 2, 3*r + 3 = 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 19*k**2 + 2*k - 1. Let l be f(1). Suppose -n = -4, -5*a - 4*n - 4 = l. Is (158\/a)\/(2\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394960 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -28199997*v - 3. Let q be h(1). Round q to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 679, 699, 719, 739, 759, 779?\nAnswer: 799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 655 + 11?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 1324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 97824.5ug?\nAnswer: 97824500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165999195.\nAnswer: 3, 5, 3688871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 8:02 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 478266\nAnswer: -1913064","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 9:24 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173 - 125 - 165 - 171 - 174 + 807 - 195*s.\nAnswer: -195*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 859 - 1318. Let o = q + 852. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 41. Let p(l) = -41. Let c(a) = 4*p(a) - 5*s(a). Let g be c(7). Let j(x) = x**3 - 7*x**2 + 9*x - 5. What is j(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-18)*(-435)\/580?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a week in hours?\nAnswer: 1071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -994*b**2 - 10941*b. What is a(-11)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 + 124 + -64 + 28 + -1 + -54 + -1?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 65*h**2 - 93*h + 2012. Calculate z(-63).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 + -48. Let g = 48 - b. Let x(p) = 3 - 6 + 4 - 4*p**2. Let j(n) = -9*n**2 + 2. What is g*x(d) - 6*j(d)?\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 - -87. Sort 1, d, -1\/2, -1\/3 in increasing order.\nAnswer: -1\/2, -1\/3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*q - 1451, -6*z = -z + 5*q - 7285. Find t, given that 30*t - 729 + z + 2*t**2 - 727 = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.069 - 0.068486. Round o to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2201.0948 - 2201.151598635. Let g = -0.0568 - u. Round g to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 171 + 181 - 3*t + t**3 - 3*t**4 to y*t + n*t**2 + f + g*t**4 + x*t**3 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 328 + 570*u - 3367*u - 334 to the form o*u + b and give o.\nAnswer: -2797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -169*z**8\/84 + z**4\/4 - 82*z**3\/3 - 8*z**2 + 104. What is the second derivative of u(o) wrt o?\nAnswer: -13520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 + m**2 + 2. Let v(c) = c**2 + 1. Calculate 5*v(s) - y(s).\nAnswer: 2*s**3 + 4*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 2*v**3\/3 + 5*v**2 - 67*v + 11. What is the units digit of c(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 777, -1 in decreasing order.\nAnswer: 777, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -39, 687, -2 in descending order.\nAnswer: 687, 2, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25225 (base 15) to base 13.\nAnswer: -41cab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2. Let r(i) = -23*i - 16. Let p(t) = -48*t - 40. Let v(f) = -2*p(f) + 5*r(f). What is g(v(w))?\nAnswer: 1083*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45.4 + 52.4. Which is the nearest to 1? (a) 209 (b) g (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266285951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-305)\/(-61))\/(-1 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*g = -18, -8*r + 3*r = -g - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 48 = 10*n, 4*m - 715 + 691 = 2*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10682\/392 - 21\/(-12). Let y(q) be the second derivative of -3\/2*q**2 - 1 + 5\/24*q**4 + a*q - 7\/12*q**3. Suppose y(h) = 0. Calculate h.\nAnswer: -3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 135? (a) -0.2 (b) -0.3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -334*v**2. Let q(h) = 7*h**2 + 34. Let j(d) = 10*d**2 + 34. Let m(b) = 2*j(b) - 3*q(b). Let n(k) be the first derivative of m(k). Calculate c(n(i)).\nAnswer: -1336*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -2. Let j(z) = -z + 20. Let o be j(0). Suppose 11 = -2*a + 3, -4*p = -y*a - o. Solve -2*n = -p*g - 7, n - 2*g - 5 = -0*g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1340064 = 9466*i - 9434*i. List the prime factors of i.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0058045 rounded to 4 decimal places?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**5\/4 + 117*z**4\/4 - 1681*z**3\/2 - 1799*z**2\/2 + 3363*z\/4 + 3481\/4 = 0.\nAnswer: -1, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 614, 612, 610, 608, 606?\n\"Answer: -2*h + 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 10:35 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 72\/(-21) + (-31)\/(-7). Suppose 0 = -v*j - 7 - 1. What is the common denominator of (j + -14 + -2)*24\/(-128) and 21\/43?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.780618298 to 1 dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 + 2*y - 1. What is p(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - -13. Let x(b) = b**3 - 14*b**2 + 25*b + 3. What is the remainder when p is divided by x(12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 - -27 - (-8 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 20 = -2*w, 0 = -3*g - 2*w - 5 + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 6 = 3*n - n, -j - n + 3 = 0. Suppose -2*t - t + 144 = j. What is the highest common factor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 8*r**3 - r**3 + 0 - 23*r**3 as p*r + i + u*r**3 + h*r**2 and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 7 = -2*a, -4*a = 2*s - 7*s - 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10800*r - 409 - 21648*r + 10849*r.\nAnswer: r - 409","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 + 440*q**2 + 5664*q - 334080.\nAnswer: -4*(q - 116)*(q - 24)*(q + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 27. Let p be j(-30). Solve -2*w = p*x + 4, -5*x + 2*w - 30 = -2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-21))\/((-4)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y - 152 = 104*y - 5*h + 477, 0*h = 4*y + 2*h + 40 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 10595 - 52737. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/12 and 22\/855?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1038 - 7268\/7. What is the second biggest value in p, 1, -83, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5872\/48 + 2\/(-6) is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**2 - 1368*l - 4084. What is r(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 10.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 12*v**2 + 2*v + 28. Let w be u(-12). Suppose -5*y + 7*y - w = 0. Suppose o = -d + 2, -y*d = -3*o - 6*d + 1. Solve -o = m - 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1651184, -3302798, -4955252, -6608966, -8264360, -9921854?\n\"Answer: -70*t**3 - 1651124*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.375 + -0.0729. Let v = -0.288 + n. What is v rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 51 = u. What is the second derivative of 12*k + u*k - 30*k - 6*k**4 - 5*k**4 wrt k?\nAnswer: -132*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 240 = 4*g, -488 = -5*d - 5*g + 132. What is the greatest common factor of 10 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-1 + -19)) + -2. Suppose 17 = 5*y - c. What is the remainder when 26 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4\/(((t\/(t*t**(-1)))\/t)\/t*t))\/((t**(-1\/3)\/t)\/t)**20*((t*t**0)\/((t*t*t**2*t)\/t))**(-6\/13) assuming t is positive.\nAnswer: t**(2030\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -375 - -375.07. What is the third smallest value in 5\/4, -4, o, 5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 418323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a centimeter in millimeters?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(17 + 90\/(-14) - 1 - 8)?\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1775 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -u - 5*c, 33616 = -u - 3*c + 33599 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*h**3 - 8*h**2 - 23*h + 23*h to n + g*h**2 + y*h + s*h**3 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2 + 18*o**3 - 20*o**3 - 3*o - 4*o + 6*o - 3*o**2 + 2*o. Let t be a(-3). Solve 25*l = t*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5, 1, 5, 7, 7?\n\"Answer: -c**2 + 9*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1651 (base 14) to base 4.\nAnswer: 332113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -523789 times -2?\nAnswer: 1047578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*m - 122*m + 445*m - 160*m + 18*m**2.\nAnswer: 18*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*l = 2, -3*s - 2 = -2*s - 2*l. Suppose -j = -4*a - 29, -4*a + 61 = j - s*a. Calculate the greatest common divisor of 15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 5. Let p(k) = k. Calculate p(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 74*w**3 + 506*w**2 - 78*w + 23. Calculate u(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58.2369907 + -48.23699097. Let v = -10 + z. Round v to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 13*s**2 + s - 11. Let q be -2 + (28 - -2)\/2. Calculate the remainder when 2*((-3)\/(-2) - 0) is divided by x(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obb when three letters picked without replacement from {i: 9, b: 3, x: 1, o: 5}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - 35 - (5 - (12 - 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - 1 - m**2 - 1)*(-297 + 28 - 95 - 99)*(18*m**2 + 16 - 16).\nAnswer: 8334*m**4 + 16668*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9930 times -1.44?\nAnswer: 14299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**5\/20 + o**4\/4 - 2*o**3\/3 - 2*o**2 + 2977*o. Give f(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71\/1615 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 0*i + 21833*i**2 + 12904*i**2 + 2918*i**2.\nAnswer: 37655*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 2892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 35*n**2 + 3*n - 71. Let m be l(35). Calculate the remainder when 66 is divided by m\/(-85)*(-20)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 8497*b + 5955348.\nAnswer: -(b - 651)*(b + 9148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9 + 19 - 9 - 2*k + 2. Let m(u) = 2*u**2 - 13*u + 1. Let t be m(8). Let s(c) = 15*c - 25. Determine t*g(h) + 3*s(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 7 = 2*b + 19, 2*b = 2*x + 28. Let j be 1\/((2\/x)\/(-2)). Suppose 0*o - o = -j. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 11:38 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -2d?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**8\/840 - s**7\/525 - s**6\/300 + s**5\/150 - 5*s**2. Factor q(v).\nAnswer: 2*v**2*(v - 1)**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g. Let p be (6\/(-72)*9)\/((-2)\/(-8)). Let o(x) = 4*x - 3. Let y(f) = -f + 1. Let t(h) = p*y(h) - o(h). Give u(t(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 2316?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.019527 rounded to 0 dps?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -305 - -325. What is the remainder when 737 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6081600 divided by -57920\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 43 + 223. Let s = -17 - h. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 20 = 9*x - 4*x, 0 = 5*h + 5*x + 20. Find u such that 0*u**2 - 4\/11*u**5 - 2\/11*u**4 + h + 0*u**3 + 0*u = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*i, 0 = 4*u + u + 2*i. Is ((-743)\/2)\/(u\/(6 - 2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**3 - 3*u**2 + 2*u + 0*u - 3*u**2 + 5*u**2 to j + n*u + m*u**2 + s*u**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122378.\nAnswer: 2, 43, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(8) + (sqrt(8) + sqrt(32))*5 + sqrt(8)))**2.\nAnswer: 19\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 1. Let w be d(1). Let q(v) = -v + 12. Suppose 0 = -5*b + 192 - 17. Calculate the remainder when b is divided by q(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90322 + -64333. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 5:50 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/282185 and -64\/5248641?\nAnswer: 26243205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -5.9. Let y = s - -3.9. Which is the closest to -1\/2? (a) -2 (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**2 - 1\/30*w**6 + 1\/20*w**5 + 0*w + 1\/210*w**7 + 0 + 1\/6*w**4 - 2\/3*w**3. Factor b(y).\nAnswer: (y - 2)**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7707, 8580, 9431, 10260, 11067, 11852, 12615?\nAnswer: 13356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2\/13, 1\/5, -5\/8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.003 - -0.132. Let f = -43.865 - p. Which is the biggest value? (a) f (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o. Let y(j) = -2*j**2 + 23*j + 4. Give y(f(i)).\nAnswer: -8*i**2 + 46*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.04. Let m = -4.84 + h. What is the third biggest value in -4, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0582357744 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1188, -2268, -3096, -3672, -3996?\nAnswer: -4068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5 + 8*m**4 - 4*m**3 - 8*m**2 + 6*m = 0 for m.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (2 - 10\/2) + 3. Let t(q) = 7*q**2 + 47*q - 7 - 45*q + 1 + q**o. Is t(-5) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = i - 14, -3*r = r - 12. Let a be i\/(-10) - (-805)\/25. Suppose -m + 16 = 2*f, 5*m = 6*f - 4*f + a. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60503, 60119, 59459, 58505, 57239?\nAnswer: 55643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/9 + 1)*-15. Suppose -5*i = -2*i - 2*o + 9, 3*o + 9 = 0. Let n be (-5 - i)\/(1 - (0 + 0)). Put z, -1, n in descending order.\nAnswer: z, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**1*b))**(7\/3)*(b**0*b)**(-4\/17) assuming b is positive.\nAnswer: b**(-131\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3378 - 3371.988. What is u rounded to one dp?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*s + 32. Let p = -52 + 75. What is the remainder when p is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 + 13*q**2 - 5*q**2 + 5*q**2 + 3*q**3 + 2 + 12*q. Let f be g(-12). Suppose f*y = 45 + 35. Does 20 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from oooooooooobooooboo.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -384 - -28?\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -z + 10, 2*n - 17 = -z - 3. Let q be z*4\/((-48)\/(-10)). Suppose -4*c + 49 = q*f, 5*f + 6*c - 3*c = 48. Put -2, -4, f in decreasing order.\nAnswer: f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90573 - 173463419?\nAnswer: -173372846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -15*y**3 + 7*y**2 + 26*y + 13. Does 49 divide x(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 - (4 + (-113 - -190))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 541.48 + -499.5. What is m rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-25000)\/(-16))\/((-1)\/3328). What is s rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-15))**(17\/4))**(-1\/90))**(2\/5) assuming i is positive.\nAnswer: i**(17\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00874545 to five dps.\nAnswer: 0.00875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-11))\/(323920\/(-10120) - -32).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 23*u**2 - 46*u - 3. Let o(c) = 13*c**2 - 45*c - 2. What is -4*o(r) + 3*t(r)?\nAnswer: 17*r**2 + 42*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/11 + 52*u**4\/11 + 128*u**3\/11 - 236*u**2\/11 - 130*u\/11 + 184\/11 = 0 for u.\nAnswer: -23, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 4:46 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -21301?\nAnswer: 21230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 774*k + 6. Let g(t) = -389*t - 4. What is 5*g(c) + 3*s(c)?\nAnswer: 377*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4\/5 + 27007\/(-32265)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**3 - 1192*b**2 - 15*b + 4478. Determine k(298).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3649 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52924?\nAnswer: 2, 101, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(735) + sqrt(735) + -3*-2*sqrt(735) + sqrt(735) + sqrt(735) - sqrt(735))\/((sqrt(45) - (sqrt(90)\/sqrt(2) - sqrt(45)))*1))**2.\nAnswer: -126*sqrt(3) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.34 - 86.\nAnswer: -85.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -381 - -380.6. What is the nearest to -4 in -1, l, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 474288 by -48.\nAnswer: -9881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/38980 and 149\/81858?\nAnswer: 818580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -557*l**3*u**2*v - l**3*u*v + 3*l**2*u*v - 12*v wrt u.\nAnswer: -1114*l**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - g**2 - g + 1. Let x(b) = 3*b**3 + b**2 - b + 6. Let p(z) = 2*a(z) - x(z). What is p(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -624, -1869, -3724, -6195, -9288?\nAnswer: -13009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.82321 minus 972712.091?\nAnswer: -972713.91421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121 + -118. What is the smallest value in 0.1, -3, -14, w?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {c: 2, l: 3, z: 5, m: 1, j: 1, y: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 63*a**2. Suppose -t - 1 = -4. Let w be ((-2)\/t)\/((-2)\/3). Calculate the lowest common multiple of 8 and x(w).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55483698*c**3 - 27741866*c**3 - 27741854*c**3.\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-405)\/(-40))\/(-27) - 15\/8*-1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c - -39?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 87493992 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 11. What is the least common multiple of 10 and k(-7)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5823 is divided by 638?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 409618\nAnswer: -409617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 4*r - 10. Let d be x(-4). Let f be ((d\/3 - -5) + -2)*-24. Solve -3*n = -f - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -73, -90, -103, -112?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3301308900 rounded to the nearest one million?\nAnswer: -3301000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -9\/2*n**5 - 51\/2*n**4 - 9*n**3 + 27\/2*n - 15\/2 + 33*n**2 = 0.\nAnswer: -5, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -202 + 0*g + 4*g + 182 + 7*g. Is c(9) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -190.9562 - -140.947. Let a = 50.5 - 0.5. Let x = a + c. Round x to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*a + 53*a + 44*a + (-3 - 1 + 2)*(5*a + 0*a - 3*a).\nAnswer: 52*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 236 and 9384616.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 333402 (base 5) to base 12\nAnswer: 6953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhbh when four letters picked without replacement from {c: 5, d: 2, a: 2, y: 1, b: 1, h: 5}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 15 - (-23 + 9). Solve 38*a + 162 + 28 = o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84 + 350 + -500 - (-1 + 45)\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 8)*(9*c + 14*c - 27*c + 2).\nAnswer: -28*c + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o - 1. Find the common denominator of 924\/(-24)*(-1)\/(-4) and 0 + 23\/5 + o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1028866, -4115467, -9259804, -16461877, -25721686, -37039231?\n\"Answer: -1028868*n**2 + 3*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 3 - 6 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -346.6 + 347. What is the biggest value in -0.1, 3, z, -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c. Let s be w(1). Let p be (-2)\/s - 27\/(-28). Let z = 1 + -1. What is the nearest to 1\/4 in p, 2\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96788465227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**3 + 76*y**2 + 32*y - 221. Calculate l(26).\nAnswer: -741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70164 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - -1 - (-9 - (23 - 6 - 34))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 8:19 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 10*c**2 - 12*c + 3. Let h be i(6). What is the hundreds digit of (-11064)\/(-30) - h\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - 7?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5931?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 - 3*p - 3. Let l be w(-1). Let m(z) = -2*z + 10. Let f be m(l). Let b(a) = 21*a + 13. Is b(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1029735 and 2520.\nAnswer: 8237880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3324728963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 220938, 220937, 220936?\n\"Answer: -h + 220939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -1) + -96 + (4 - -48).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/106200 and -101\/35400.\nAnswer: 106200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*k - 10 = 0, -30 = 65*v - 69*v - 2*k. What is the remainder when 8 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 482163 divided by 11.\nAnswer: 43833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 a when four letters picked without replacement from wwwaaxlw?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/8655894 and 49\/28134.\nAnswer: 25967682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151 is divided by 148.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*t + 36*t - 25*t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/9 - 11*o**2\/9 - 46*o\/9 + 56\/9.\nAnswer: (o - 14)*(o - 1)*(o + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + -5 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*p = -200. Calculate the highest common factor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22440570683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 290 and 180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-2\/17)*y)**(-18\/13)\/(y**7\/(y**(-17\/3)\/y)) assuming y is positive.\nAnswer: y**(-11923\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 15. What is the smallest common multiple of ((-3)\/h)\/((-3)\/(-18)) and 2\/6 + 76\/6?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198570 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 739, 742, 747, 754, 763, 774?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100587436*k**2 - 100586596*k**2 + 201174035*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32093, 68715, 105337, 141959?\n\"Answer: 36622*o - 4529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -210.07 and 0.05.\nAnswer: -10.5035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let v = -0.12 - -0.02. What is the biggest value in j, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114699 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-12)*(-12231)\/(-135). Which is smaller: v or 153?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 19631?\nAnswer: 19631.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -146603 (base 15) in base 11?\nAnswer: -6119a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 8910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 - 52. Suppose -4 = -3*q - 2*f, 0*f - k = -5*q - f. Solve q*u = 3*u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from {z: 1, q: 4, d: 1, y: 3, p: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 10:26 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*d + 77494, -478*n + 5*d + 193810 = -473*n. Is n a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q + 15 = 22*q. What is the hundreds digit of q*((-8 - 3)\/1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-8)\/10 - -1). Let s be (-6 - 96\/(-18))*(-27 - 0). Let c(k) = -s + k + 7 + 5. What is c(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 8, -12*g + 9 = d - 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1040 is divided by 126.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2757822 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2521 - 13903 = -1078*t + 6214 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6198653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d, -8*d = -2*r - 6*d - 6. Let b(u) = u**3 + 2*u**2 + 3*u. Give b(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2028 divide 2485208544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000204 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = h - 8, -5*t - 190 = 115*h - 120*h. Calculate the remainder when 101 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 947 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 5. Give r(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5934 and 213555?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.086 - 4.086. What is the closest to b in 0, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -35. Suppose -h = -y - 5. Solve y*o = -3*n + 10, -o = 2*n - 4 - 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07 - -0.07. Let f = 0.2 - 0.2. Let m = a - f. Which is bigger: 2\/11 or m?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5\/4 - 95939*i**4\/4 - 575352172*i**3 - 4026481883*i**2 - 4601090584*i + 9202948624 = 0. Calculate i.\nAnswer: -47966, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(28)*1)**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 y when three letters picked without replacement from dpdypdpdpdddybpptppb.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 5*u**2 + 6. Let p be v(-5). Suppose 42 = 2*n + m - p*m, -3*m = -n + 23. Differentiate -4 + 1 + 2 - 3 - n*b**3 with respect to b.\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(325) + (sqrt(325) - 6*(sqrt(325) + 1)) - (sqrt(325) - (1*sqrt(325) + 1 + sqrt(325)) - (-1*sqrt(325) + -3)))**2 + 1 + 2.\nAnswer: 160*sqrt(13) + 5219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 37 = 14. Let d = -26 - l. Let w be (-8)\/12 + (-17)\/d. Solve -3*u = -w*u - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2590 is divided by 260?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*w = -24. Solve 2*v = w*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 1080 = -6*w. What is the second derivative of -19*t**2 + 53*t + 15*t + 48*t + 4*t - 1 - w*t wrt t?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/6 - (-1 - 255\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -83912, -83937, -83984, -84053, -84144, -84257?\n\"Answer: -11*z**2 + 8*z - 83909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11343, -11335, -11327, -11319, -11311, -11303?\n\"Answer: 8*c - 11351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.138959705826 + 0.11.\nAnswer: -0.028959705826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2, 0.5, 6\/557?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20))**2 + -1)*4.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.06 + -0.06. Let i = -3845 + 3844. Which is the third biggest value? (a) 3\/4 (b) l (c) i (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 42*b**2 + 31*b + 298. What is the thousands digit of l(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24532379 - 0.134?\nAnswer: -24532379.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 11. Let o be x(-11). Let t(f) = 7*f + 1. Let a(d) = 3*d. Let p(g) = -5*a(g) + 2*t(g). Let w be p(o). Solve w*c + 4 = -0*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13883597?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + -2*5*(sqrt(68) + 2) + 2)*-5*4.\nAnswer: -2000*sqrt(17) - 1500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/11 + 280\/154. Suppose 0 = -z*u - 16 + 44. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n*n*n\/n**(4\/23)))**(23\/3))**(-2\/33))**1 assuming n is positive.\nAnswer: n**(130\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4069*v + 1 = -3991*v - 389 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1060, 1064, 1062, 1048, 1016, 960, 874, 752?\n\"Answer: -q**3 + 3*q**2 + 2*q + 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.8337 times 13414\nAnswer: 24597.2518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*sqrt(1250))\/(sqrt(90)\/(sqrt(9)*-2) - sqrt(10)).\nAnswer: 5 + 20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2352.91438 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.044 rounded to two decimal places?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -676*r**3 + 841776*r**2 + 647820*r + 124600.\nAnswer: -4*(r - 1246)*(13*r + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -70*r**3 + r**2 + r. Let j be o(-1). Calculate the highest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/19)*g*g*g\/(g\/g**12)*g*g)\/((g**(-2\/27)*g)\/g**0) assuming g is positive.\nAnswer: g**(7706\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4752093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 13, 1, -2, 0.2, 148, 0 in decreasing order.\nAnswer: 148, 13, 1, 0.2, 0, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -96\nAnswer: 5\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*h = 838, 3466 = 4*i - h + 228. What is the highest common factor of 4141 and i?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76b16 (base 16) to base 2\nAnswer: 1110110101100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 28*m**2 - 27*m - 37. Let b = 204 + -233. Let u be v(b). Is u greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 1:16 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -596\/11 + 54. Which is the third smallest value? (a) -2\/7 (b) -7 (c) -1\/4 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - 7*c**2 - 3*c**2 + 6*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/2*(-5)\/(-1). Suppose -2*c + 12*h + 1 = 15*h, -f*c + 12 = -2*h. Solve -3 = c*j - 5*r, -r = 3*j + 9 + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 222 - 461 + 256*x + 237 + (0*x + 0*x + 2*x)*(0 + 2 - 3) + x + 0*x - 2*x + (4 - 3 - 3)*(2*x - 4*x + 4*x) + x + x - 4*x - 4 + 4 + x - 3*x + 5*x - 3*x.\nAnswer: 247*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 r when three letters picked without replacement from {l: 5, p: 1, k: 1, r: 2, d: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**3 - a**2 + a**2 + 12*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 87b - -5?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: What is prob of sequence ho when two letters picked without replacement from eeevovh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/216)\/(12\/32)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.05+-634601544957\nAnswer: -634601544956.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*l - 134*l - 119*l.\nAnswer: -212*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1502 divided by 1502\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 - 12\/(-18)*18. Let g(y) be the second derivative of 0 + 9\/20*y**5 - 1\/2*y**2 - 1\/3*y**3 - 2*y + 0*y**s. What is g(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (19 + (6 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = 3*i - 21*i - 107. Sort -476, i, -3, -5 in increasing order.\nAnswer: -476, -5, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6699139 decades?\nAnswer: 80.389668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/486*9*(-3)\/84*-6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 + 2*f**4 - 3*f**4 + 0*f**4 - 3*f**4 + 8*f**4 + (3*f + 0*f - 7*f)*(-4*f**3 + 0*f**3 + 3*f**3).\nAnswer: 10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10 + -2)\/(-14 + 177976\/12712).\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/34869280 and 31\/31382352?\nAnswer: 313823520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 11*c**2 - c - 8. Let v be i(-11). Suppose -2*p + 1 = -v. Calculate the remainder when 19 is divided by (-2)\/4 + 21\/p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**4 + 3*q - 2 - 4*q - 1290*q**2 + 1285*q**2 to h + r*q + x*q**4 + z*q**3 + b*q**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 15. Suppose f*k = -2*k. Suppose 0 = -3*p - 5*j + 249, k*j - 83 = -p - 4*j. Does 22 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 32*c + 32. Let t(m) = m**2 + m + 1. Calculate -3*h(o) + 96*t(o).\nAnswer: 96*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3888677?\nAnswer: 13, 89, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/11 - 3\/22. Let s be 2 + 6\/(-9) + -1. Let h = 271\/6 - 93\/2. What is the third smallest value in h, s, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 b, and 1 x when four letters picked without replacement from {b: 7, t: 2, p: 7, x: 2, n: 1}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*q**5 + 1086*q**4 + 2*q**2 - 26382*q?\nAnswer: 1080*q**2 + 26064*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 15. Suppose -3*f + 95 + g = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 46 = -8*f. Let z = -28 + f. What is the remainder when 88 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 - -114. Let h = m - 45\/2. What is the closest to 0.3 in 0.2, 3, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11559\/2 or -5781?\nAnswer: -5781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**3 + 785805*p**2 + 2*p + 42081636 wrt p?\nAnswer: 3*p**2 + 1571610*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -72*h**2 - 3*h**3 + 65*h**2 + 2*h**3 + 5 - 5*h. Let y = 6 + -16. Let q = y + 4. What is n(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = j - 570. Let s = 59 + j. Suppose -5*y + 6*x = s*x - 835, -332 = -2*y + 2*x. What are the prime factors of y?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*h - 2, 3*p + 20 = 5*p - 4*h. What is the greatest common factor of p and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n + 51. Let v(z) = 20*z - 152. Let k(b) = -17*d(b) - 6*v(b). Let f be k(0). Let w = -19 + 28. What is the greatest common factor of f and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-42) + (-1030)\/(-10815)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 562.95?\nAnswer: 562.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, m: 4, t: 1, o: 1}. What is prob of sequence xxo?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -233 - -402. Is 251100\/52 + 26\/j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*p - 158*p + 17 = 5*w, 5*p - 5*w = -25 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**4\/12 + 5*b**3\/6 - b**2. Suppose -4*c = -3*h + 871 - 28, 648 = -3*c - 3*h. Let o = -208 - c. Give g(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273051536 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8392 = -4*l + 4*k, 4*k + 5690 - 1488 = -2*l. Let i = 33571\/16 + l. Calculate the common denominator of (-6)\/(-21) - 1966\/168 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 1 - 3*h - 2. What is the units digit of w(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52\/7 + 229\/28. Suppose -d = -14 + 13. Which is smaller: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 3*w**2 - 5*w - 4. Let t be (-4)\/(12\/5)*(-24 - 0). Suppose 6*c + 4*c = -t. Give s(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 100*a - 735. What is b(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-3)*a)*(a*(a\/(a*a\/a**4))\/a*a)\/a)\/(a**(2\/19)\/a**(-22)) assuming a is positive.\nAnswer: a**(-306\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -229.93 + 0.15. Let j = m - -230. Which is the closest to 0.1? (a) j (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/12)*j*j)**(-2\/111)*j**35*j**(5\/13) assuming j is positive.\nAnswer: j**(306061\/8658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.0443 rounded to zero dps?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 5*v - v)*(4866*v**2 - 2352*v**2 - 2389*v**2) - 7*v**3 - 8*v**2 + 8*v**2.\nAnswer: -257*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 556319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6310*b + 12916*b + 4 + 0 - 2 - 6478*b.\nAnswer: 128*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -8.3. Suppose -3*u + 8*u = -k - 1, -5*u = -2*k + 13. Let a = k - 2. What is the nearest to -2 in m, -3\/4, a?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (466720 - 466720 + 865*a)*(-a + 4 - 4).\nAnswer: -865*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 139217825267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 679998707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4448331611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.82 minus 57?\nAnswer: -55.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -34 + 2*p**2 - 4*p**2 - 39 + 76 + 3*p**2. Let g(b) = -b + 6. Let m be g(0). Let y(c) = c**2 + 1. Determine m*y(u) - 2*l(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901 is divided by 595.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - 6891*i - 75982. What is o(-11)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1118 and 11\/28.\nAnswer: 15652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = s + 5, -12*s + 9*s = -13*p + 22 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -25, -51, -87?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -923, -1833, -2727, -3599, -4443, -5253, -6023, -6747?\n\"Answer: q**3 + 2*q**2 - 923*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11763108 to the power of 1\/2, to the nearest integer?\nAnswer: 3430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -2, -5 in decreasing order.\nAnswer: -2, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -584137, 0.4 in descending order.\nAnswer: 0.4, -0.5, -584137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 570627 and 162.\nAnswer: 10271286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 6*z - 45 = 0, -5*z + 41 - 74 = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 67 = 3*r - 112, -5*q + 45 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.0399.\nAnswer: -0.1596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o + 217. Determine i(45).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 299215 - 299155. Suppose -2*l - 25 - 48 = -5*r, -3*l = -5*r + 77. Solve r*a - a = -f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 4344376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -144, -3 in increasing order.\nAnswer: -144, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 - 4*h**3 + 2*h**3)*(4 + 0 - 6) - 2*h**3 - h**3 - 3*h**3 + (-2 - 4 + 5)*(-3 + 3 + h**3) - 4*h**3 + 2*h**3 + 0*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 470121*z**3 - 148754*z**3 - z**2.\nAnswer: 321367*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -8*h + 3*x - 6232, 4*x + 3127 = h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 9 - 1. Let b(z) = -16*z + 11*z - 3*z**g + 2*z**2 + 8. Determine b(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 15 = w - 115, -o = 3*w - 20. Let m = 106 - 68. Calculate the remainder when m is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2096393 and 931541?\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/((18\/8)\/(-9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(224)*3)\/(sqrt(300)\/sqrt(6)))**2.\nAnswer: 1008\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 46\/5 (b) -264.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(7) + 1)*4 + (sqrt(847) + 1)*1)**2.\nAnswer: 1750*sqrt(7) + 9200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*o - 420 = -62*o - 69*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 5:25 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79087078?\nAnswer: 2, 7, 807011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207659?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 2*z - 1. Let h be j(-2). Solve -h*n + 20 = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1842019 (base 10) to base 11.\nAnswer: 1048a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -28*l**3\/5 - 83*l**2\/5 - 53*l\/5 + 2\/5 = 0.\nAnswer: -2, -1, 1\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -901*x - 7133. Give f(-11).\nAnswer: 2778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**3 + 3*j**2 + 3*j**3 + 16*j - 15*j. Let o be g(3). Let k = -0.1 + 0.1. Which is the closest to 1? (a) 2\/3 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1135507446 rounded to the nearest one million?\nAnswer: -1136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*(2 + sqrt(13)))**2.\nAnswer: 144*sqrt(13) + 611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22.3 + -20. Let x = -9.7 - a. Let i = -12.0065 - x. What is i rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.11 - 30.13. Let b = 0 - -1. Put h, 4, 3, b in increasing order.\nAnswer: h, b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406*l - 1368 = 330*l. Solve 208*r + l = 205*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1342 and 24522.\nAnswer: 269742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (40 - 41) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -518, -1037, -1556?\n\"Answer: -519*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.89 (b) -840 (c) 1\/4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29645, -2112, -0.3 in increasing order.\nAnswer: -29645, -2112, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18985, -38002, -57017, -76030?\n\"Answer: j**2 - 19020*j + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4\/6 - 121*c**3 - 15541*c**2\/6 - 6206*c + 26752\/3 = 0. Calculate c.\nAnswer: -704, -19, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1050*c = 1871*c + 1825*c - 39690 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 73\/4*r**4 + 0*r**3 - 67*r - 128 + 0*r**2. What is the derivative of w(l) wrt l?\nAnswer: 219*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + d = 97, 5*d - d + 30 = 2*q. Let i(w) = -3*w - 50. Let y be i(-27). Let l = y + 23. Calculate the remainder when l is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 1. Let u(p) = -8*p - 39. Determine 6*t(v) - u(v).\nAnswer: 2*v + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + -3*sqrt(1377) + 2.\nAnswer: -27*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 20*i**3 + 18*i**2 + 9*i - 52. Let d(o) = -9*o**3 - 9*o**2 - 4*o + 25. Let k(u) = -9*d(u) - 4*g(u). What is k(-9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 214 + 5143120?\nAnswer: 5143334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 + 30810?\nAnswer: 30790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h**3 + 6*h**2 - 27*h + 15. Let i(x) = 5*x**2 + 15 - 23*x + 7*x**3 + 35*x - 39*x. Let q(z) = -4*c(z) + 3*i(z). Suppose q(u) = 0. Calculate u.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 0.12, -1768, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553*j + 552*j - 7 = 3*v, -5*v = 3*j + 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:13 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 11*r - 60 = 0. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(-4) + (4 - -6). Suppose -m*w = -7*w + 3, 2*h + 4*w - 4 = 0. Solve -7*a + 1 - 8 = h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - h - 1314. Suppose 0 = 135*v - 128*v + 1526. Let d = v + h. Calculate the highest common factor of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 15, 5, 2, 1, 108 in ascending order.\nAnswer: 1, 2, 5, 11, 15, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 109 = 2*r, 0*n = 5*n - 15. Suppose -3*m - 1 = r. Let c = 31 + m. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25454.05ml in litres?\nAnswer: 25.45405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*y + 4*y - 4*r, 24 = 5*y - r. Suppose -y*d = 4*s + 1312, d - 5*s - 85 = -413. What is the units digit of d\/(-12) + (-4)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1363 + 862. Let g = t + 503. What is the nearest to 1\/2 in 7\/22, 4\/7, g, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 6*o + 4*o)*(2*o + 0*o - 4*o) + 12*o**2 - 3*o**2 - 15*o**2.\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/310 and -95\/345774?\nAnswer: 1728870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12112 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 19*a**4\/24 - 151*a**2. Let i(p) = -15*p. Calculate i(x(r)).\nAnswer: -285*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 31548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t + 66 - 34 = 542 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 113279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {n: 1, f: 1, h: 2, d: 3, v: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(((-5)\/(-15))\/(-1)). Suppose -h*x - 2*k + 2502 = 0, -3*k + 697 = x - 130. Suppose 0 = -n - 3*n + x. What are the prime factors of n?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/10)\/((-3)\/15). Let v = r + -3. What are the prime factors of 6\/36 - 41\/v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.03 and 768561937408.\nAnswer: 768561937407.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, e: 4, p: 7, n: 2, f: 1, t: 1}. Give prob of picking 1 e, 1 f, and 1 p.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013674 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*x + 10, -5*t - 4*x - 25 = x. Suppose 22 = 3*a + p, -a + t*a - 2*p + 14 = 0. Let v(h) = 967*h - 71. Is v(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 55. Let t = v + 66. Is 13 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 649552315*s**3 + 3844*s**2 + 3*s - 7894?\nAnswer: 3897313890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -1754?\nAnswer: 1757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/9569756 and -99\/683554.\nAnswer: 9569756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -11, -35, -79, -149, -251, -391?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from liiiuuuimrllulii. What is prob of sequence ill?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -39. Let r = 23 + x. What is the smallest value in 2\/11, -0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6)\/(g**(15\/7)\/g*g) assuming g is positive.\nAnswer: g**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**3 - 77*s**2 - 16*s + 42. What is n(-19)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 15326.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2)*(2*m - m - 3*m)*(1 + 4 - 4)*(3 - 3 + 1 + (-3 - 2 + 3)*(-4 - 8 - 7) + 2 - 2 + 2 - 2 + 3 - 3 - 5 + 1 + 3).\nAnswer: -152*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - q**2 - q + 1. Suppose 4*z + 19 - 15 = 0. Let c(m) be the second derivative of m**5\/20 - m**2 + 9*m. Give z*c(b) - 2*h(b).\nAnswer: b**3 + 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 5*n**3 - n**2 + 14*n**3 - 18*n**3 = 0. What is n?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/9*((-45)\/(-4))\/((-1637)\/19644)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 347 + -6 + -6 + 14 + -1. Solve 5*s - o + 328 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, m: 7}. What is prob of sequence mjj?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*sqrt(4)*-1)\/((sqrt(72)*2 + sqrt(2))*-2).\nAnswer: 25*sqrt(2)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3611 - -3610.99998313. Round x to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6368200 to the nearest 100000.\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2299 and 73568?\nAnswer: 73568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48089 = 8*v - 614489. What is v rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 35*i**3\/6 - i**2 - 2*i. Let p(k) = -k + 1. Let d(j) = -b(j) + 3*p(j). Is d(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -0.4, 73.\nAnswer: -4, -0.4, 5, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 34 + -6 + (0 - 10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5973*z - 2*d = -4975*z - 0*d - 38, 4*z - 2*d + 38 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24198*c + 26371*c - 22709*c + 44774*c + 12686*c.\nAnswer: 85320*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 + i**4 + 0*i**4 + (0*i + i + 0*i)*(2*i**3 - 5*i**3 + 2*i**3) + (-71*i**2 - 323*i**2 - 95*i**2)*(-6*i**2 + 0*i**2 + 2*i**2) - 4*i**4 + i**4 + 2*i**4.\nAnswer: 1956*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.302 minus 595?\nAnswer: -520.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 575 and 2070?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1078)*-1 + sqrt(1078) - sqrt(1078)) - 2*-1*sqrt(1078))\/(6*(sqrt(891) + ((sqrt(891) - -3*sqrt(891))*-4 - sqrt(891)))).\nAnswer: -7*sqrt(2)\/864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000678 is divided by 37044.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 942520, 1885040, 2827560, 3770080?\nAnswer: 4712600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -468 * -1.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -19*y**3\/6 - 13*y**2 + 3*y. Let g be o(-6). Calculate the highest common factor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 68*f + 94. Let h(p) = 22*p + 31. Let x(j) = -2*c(j) + 7*h(j). What is the tens digit of x(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 5, 88\/15, -1\/8, -6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, s: 5}. What is prob of picking 1 t and 3 s?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -675, -711, -775, -867, -987, -1135, -1311?\n\"Answer: -14*r**2 + 6*r - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, q: 1, u: 3}. What is prob of sequence qy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102400393 is divided by 193?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 16*u. Let f(k) = -2*k**2 + 584*k - 15. What is f(i(o))?\nAnswer: -512*o**2 + 9344*o - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*p = 118693 + 58491. Is p a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - 9*i**2 + 2888*i - 11533. Let y be m(4). Find w, given that 19\/3*w**2 + 0 - 3*w - 11\/3*w**y + 1\/3*w**4 = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 31\/120?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6216 + 6300 = 14*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 75831?\nAnswer: -379155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l - 5 + 1 - 8*l**2 + 9 - l**3 + 8. Let u be g(-9). Let f(j) = j + 11. What is f(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m - 20. Let f be l(-14). Let c = f - -1. Is 17 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2967 = -m, 0 = -2*i + m + 1249 + 242. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**(-1)\/u)))\/u*((u*u\/(u*u*u\/(u*u*u**2*u*u*u)*u))\/u*u)\/u)\/((((u*u**(-1\/2)\/u)\/u*u)\/u)\/u*u)**(-3) assuming u is positive.\nAnswer: u**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1555 divide 22405995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326.8158 millilitres to litres.\nAnswer: 0.3268158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 114\/(-34884)*(-9 + 6 + (-38)\/(-12)) and 31\/72.\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 - -91. Which is bigger: j or 0.64?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, m: 2, t: 6, k: 2, b: 1}. What is prob of picking 1 m, 2 t, and 1 k?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 9*j - 16. Let p be f(6). Let z(d) = -d + 37 - 67 + 8*d**p + 43. Is z(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16399, -17497, -18581, -19645, -20683, -21689?\nAnswer: -22657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93396, -92993, -92322, -91383, -90176, -88701, -86958?\nAnswer: -84947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51140991 to the power of 1\/3, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*d - 4*d + 2*p, 0 = -4*d + 2*p + 58. Let c = 7 - d. Let m = c - -12. Solve 0 = t - w - w, m*w = -2*t + 18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7920)*-2 - sqrt(55))\/(sqrt(396) - ((sqrt(396) - 4*sqrt(396) - sqrt(396)) + sqrt(396)) - sqrt(11)).\nAnswer: -25*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70\/17 + 109\/204. What is the common denominator of z and 71\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 2045 = -4*u + 20*t, 2*u - 4*t = 1016. Calculate the highest common factor of u and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2534, -10119, -22758, -40451?\n\"Answer: -2527*r**2 - 4*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.022 + -0.022. Put -2\/7, -2, h, -4 in ascending order.\nAnswer: -4, -2, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 265535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1648162 at least -1648162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 4*w**2 + 7*w - 2. Let g be n(-5). Let s = g - -15. Solve 0*t - 3 = -s*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 - -2084) + (-3)\/(-4)*(-64)\/(-8) is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 0*i**3 - 10*i + 53\/4*i**4 - 14 + 0*i**2. Differentiate k(w) wrt w.\nAnswer: 159*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 0.1, -2\/121?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85575, -171092, -256605, -342114, -427619, -513120, -598617?\nAnswer: -684110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0397 - 0.0255. Let i = d + 0.4858. Which is the second biggest value? (a) i (b) 1\/3 (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 631700 and 11500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 20*b**2 - 21*b + 2. Let q be r(21). Suppose 0 = 8*a - 9*a + 5. Let i = 17 - 12. Solve p + 2 = -i*k, -a*k - q*p + 3*p - 8 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r**3 - 6*r**2 - 8*r - 4. Let v(q) = -17*q**3 - 13*q**2 - 16*q - 7. Let i(o) = 14*a(o) - 6*v(o). What is the units digit of i(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655346261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1267 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 101 + 13. Let c be 9\/(-11) + 8\/s. Let n be 0 + (1 - c) + 0. Solve 0 = -2*h - 2*l - 10, -3*l - 2 = n*h + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 + (-68978)\/(-56). Let s = q - 823. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 1 + (-278 - -265)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2 + v - 2. Suppose -5 = -3*d - 11. Determine l(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(95) - 2*sqrt(95)*-1 - sqrt(95)))\/(sqrt(55)\/(-1*sqrt(11))*2).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4.1 (b) -23 (c) -5 (d) -323 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1261 divide 7900165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -303113 (base 4) in base 9?\nAnswer: -4452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**2 + 8472 - 2*c**2 - 8578 + 19*c**4 - 148*c**4 wrt c.\nAnswer: -516*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 6195181*p + 6195182.\nAnswer: -(p - 6195182)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3245564 (b) 4 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 28*k + 115. Let q be p(23). Solve 2*l = -2*j + 12, q = -j - 3*l + 27 - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*t - 2, 3*f - 2*t - 15 + 5 = 0. Suppose i - f = 0, j + 5*i - 92 = 4*i. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, g: 2}. What is prob of sequence fggf?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-898 - 0)*17\/306. Let x = p - -50. Which is smaller: x or 17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8845 divided by 1?\nAnswer: -8845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119785040 by 40.\nAnswer: -2994626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-4)\/(16\/6)). Let 29*w**3 - 9*w - 4 + 9*w**v + 4*w**3 + 18*w**4 + 1 = 0. What is w?\nAnswer: -1, -1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-7\/4)\/k)\/(k\/(k*k**(22\/5))) assuming k is positive.\nAnswer: k**(73\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -940, -1864, -2720, -3454, -4012, -4340, -4384?\nAnswer: -4090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7264412 to the nearest 10000.\nAnswer: 7260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -130718 (base 9) to base 12\nAnswer: -39a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 12, 2, -303 in descending order.\nAnswer: 12, 5, 4, 2, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -913749.28?\nAnswer: -913746.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from kdtktttdxk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**5 - 2*h**4 + 6*h**3 - 4*h**2 - 2*h. Let z(n) = n**5 + n**4 - n**3 + n**2. Let p(c) = -w(c) - 3*z(c). Factor p(g).\nAnswer: g*(g - 2)*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3, -507052?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3536 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -5239*p**4\/12 - 3385*p**3\/6 - p + 1508. What is the second derivative of o(z) wrt z?\nAnswer: -10478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 5\/4, -53, 3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 426 divide 2803571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.121 - 5141796.727028\nAnswer: -5141796.848028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 44*c + 163. Let p be b(-8). Let l = p - -191. Solve -4*y - 12 = -4*d, -2*d - l*y = -5*y - 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 4*w**2 + 2*w. Let v(x) = x**2 + 5*x + 4. Calculate the remainder when v(-5) is divided by i(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/4)*c*c**(-3)*(((c*c*c**1\/c)\/c)\/c)**(-2\/41) assuming c is positive.\nAnswer: c**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.96 - 756.96. Let q = b + 750.489. What is q rounded to 2 decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**1*y)**(-12)*y**(-6)*y**(-2\/7)*y)\/(((y*y\/y**2*y)\/(y**(-4)*y))\/(((y\/(y\/y**(-3\/7)))\/y*y*y*y)\/y**(4\/9))) assuming y is positive.\nAnswer: y**(-1270\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3224, 3163, 3068, 2945, 2800?\nAnswer: 2639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2915625488?\nAnswer: 2, 182226593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0) + -1 + 36\/(-33)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13461 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/3))**(-25)\/(r*(((r\/r**(-19\/2))\/r*r)\/r)\/r*r**(-2\/15)\/r))**(47\/3) assuming r is positive.\nAnswer: r**(3901\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 797 = -5*i + 3227. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 4*w - 32. Sort 3, 0, w, 5 in increasing order.\nAnswer: w, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 + 24. What are the prime factors of g?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 6*s**2 - s + 2. Let j be (-384)\/(-28) + (-2)\/(-7). Suppose 3*r - 13 = -2*p - 2*r, 4*p + 2*r + j = 0. List the prime factors of h(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-1 - 2 - -2). Suppose 5*q + 1 - 16 = p. Solve -4*g - 5*v = -23, v = q*g - v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -552607.576 minus 1?\nAnswer: -552608.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 452*g**2. Let l(t) = t**2. Calculate l(w(i)).\nAnswer: 204304*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/4106725 and 19\/1642690.\nAnswer: 8213450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 + -1.025. Round t to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, -7 in decreasing order.\nAnswer: 11, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.845986 rounded to 2 decimal places?\nAnswer: 3.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2800240, -5600480, -8400720, -11200960, -14001200, -16801440?\nAnswer: -19601680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0 (b) 0.4 (c) -35.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-1 + (-4)\/(-6)). Let n = 65 + -55. What is the highest common factor of u and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 361305064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(13\/6)*t\/(t\/(t\/((((t\/(t\/(t\/t**(1\/9)))*t)\/t)\/t)\/t)))*t*t**(-1\/23)*t**(-5\/8) assuming t is positive.\nAnswer: t**(7633\/1656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.43 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 + 10*t. Let c be h(5). Let v(m) = 3*m + c - 2*m + 0. What is v(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38109 is divided by 313.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/7044 and 97\/5870.\nAnswer: 35220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 3, -2\/11, 13?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -4\/7, -8, -12450?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125 - 73. Suppose h = 3*i - 26. What is the second derivative of 2*y**3 - 2*y**3 - i*y**5 + 79*y - 110*y wrt y?\nAnswer: -520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8832952 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 762760678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*j**3 - 31*j**3 - 149*j**2 - 124*j**2 - 30*j**3 + 273*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111 - -11010110011?\nAnswer: 11001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + y + 3*y + 60, -3*y + 45 = 3*v. Let n = 49 + -35. Let j = n - v. Let z(g) = -g + 1. What is z(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 11 = 14. Let k be (2\/h)\/((-1)\/5). Suppose 2*w = k*g + 36, 0 = 3*w + 4*g + g - 14. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5809 is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 2*t - 124275 + 124262.\nAnswer: -t - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -103*u**3 - 2*u**2 + 2*u. What is the smallest common multiple of q(-1) and 33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/32*-2)\/((-2)\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 434 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5*y + 7 = -0*y, -4*g = 3*y - 19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168819, 168821, 168825, 168831, 168839, 168849, 168861?\nAnswer: 168875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**7\/1008 - l**6\/144 - l**5\/30 - l**4\/8 - 4*l**2 - 12*l. Let a(g) be the third derivative of b(g). Calculate a(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 3*c - 23)*(-35*c**2 + 25*c**2 + 30*c**2) + (4 - c**2 - 2 + 6*c + 1)*(0*c - 3*c + 2*c).\nAnswer: 61*c**3 - 6*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(1539)*2)**2) + sqrt(38)\/(sqrt(4)\/sqrt(2)))*-2.\nAnswer: -4*sqrt(19) + 12312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1236552.\nAnswer: 2, 3, 67, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -56*n**3 - 151*n**2 + 4*n + 12. Let s(p) = 57*p**3 + 150*p**2 - 5*p - 15. Let t(f) = 5*k(f) + 4*s(f). What is the third derivative of t(j) wrt j?\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-9) + 4 + -2. Let z be (-8)\/(-8) + 14\/(-4). Let x = 2.6 + -0.6. Which is the third smallest value? (a) m (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 8*o**2 + 15*o + 104. Let i be b(-9). What is the greatest common divisor of i and 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 1432\nAnswer: 1002.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, o: 1, b: 4, e: 4}. Give prob of picking 2 y and 1 e.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -282 or -285?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 81*x - 3. Let g(t) = 4521*t + 2. Determine a(g(h)).\nAnswer: 366201*h + 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-440)\/1210 + 5026\/(-154).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 8 - (-6 + 6 - 3) - 24.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 279743.3 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-18) - 14\/(-6). Let b(c) = 5*c**3 + 9*c**2 - 13*c - 1. Let r(i) = i**3 + 2*i**2 - 3*i. Determine h*b(n) - 9*r(n).\nAnswer: n**3 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270713341?\nAnswer: 173, 491, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-1\/7))*b*b\/(b\/(b\/((b\/(b**(1\/4)\/b)*b)\/b))*b)*b**(-1\/7)*b**(-2\/3))**(-2\/5))**(2\/39) assuming b is positive.\nAnswer: b**(11\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0, -2, -1\/4832, 2\/5, 1\/6 in decreasing order.\nAnswer: 2\/5, 1\/6, 0.1, 0, -1\/4832, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14448 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 3*w**2 + 2*w**2)*(-54 + 39*w**2 + 54)*(367 + 141 - 6 + 3).\nAnswer: 19695*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 58.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g. Suppose 0 = o - 3*v + 11, 0 = 5*o - 4*o - 4*v + 16. Let r(a) = o*a + 4*a - a - 2*a. Give r(n(l)).\nAnswer: -25*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.0633 times 0.2\nAnswer: 0.01266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + -2212232?\nAnswer: -2212244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 13. Let w(a) = -a**3 + 10*a**2 - 10*a + 20. Let q be w(s). What is the greatest common divisor of 170 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/(312\/(-36))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*k + 21, 4*x - k = 2*x + 8. Suppose 5*q - 3*q + 4 = -x*i, 5*q + i = 36. Solve 5*h + 2 = -q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -14 + 64 + -17.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r + 1. Let c be a(1). Let t = -2 - c. Suppose 0 = -4*u - 2*d + 50, -35 = t*u - 4*u + d. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 4:12 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*z = 1090, 4*z = 2*o - 0*z - 406. Suppose -5*p + o + 517 = 5*v, 1 = v. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 968 - -0.8.\nAnswer: 968.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 18 = 4*b + 4*d, -5*b + 5*d = -25. Let q = 1 - b. Suppose q*h = -5*h. Which is smaller: -1\/4 or h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p - 8. Let w be t(-7). Suppose 40 = 5*q - 5*b, 0*q + q - w = 2*b. Suppose 0 = l - q. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.041 in -25, -5.6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*1*(sqrt(180) + 0)*4)**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 916 and 26396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*d + 62*d - 174*d - 182*d.\nAnswer: -410*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.022669 nanoseconds to seconds.\nAnswer: 0.000000008022669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**7 + 4*p**3\/3 - 1. Find the third derivative of a(o) wrt o.\nAnswer: 840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 4757, 5 in descending order.\nAnswer: 4757, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*p + 19425424 = 69*p. Is (p\/(-204))\/(8\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -9. Let o = -7 - d. Let a be 5\/1*12\/(-15). Put o, 2, a in increasing order.\nAnswer: a, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**2 + 16*c + 1. Let w(d) = 9*d**2 + 16*d. Determine -3*v(t) + 2*w(t).\nAnswer: -3*t**2 - 16*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7708 - -16607. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 46 - 7*v**3.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.75625 millennia in centuries?\nAnswer: 87.5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (5 - 36) + (26 - 11).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2923 divided by -79?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.2, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1625, 1567, 1509, 1451?\n\"Answer: -58*q + 1683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 = -2*g - 129, -35 = -3*p + 5*g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - 5*t + t + 5*t - 3*t - 3*t + (4*t + 2*t - 4*t)*(-55 + 97 + 26) to the form b*t + a and give b.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g - 8 = 0. Let r(y) = 1 + g*y + 3*y - 4*y. Suppose 0 = -2*x + 3*a - 1 - 4, 0 = 4*x + 5*a - 23. Give r(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 317 + -161. Let f = -311\/2 + l. Which is the third biggest value? (a) 5 (b) 1 (c) f (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 10 - (1 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**5\/60 - 13*n**4\/24 + 2*n**3 + 16*n**2. Let l be i(14). Let c = l - 23. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s + 4*s**2 + 1 + 6*s**2 + 4*s - 5*s**2. Suppose -a + 5*k + 21 - 5 = 0, 3*k = -3*a - 6. What is g(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 28*w**2 - 29*w - 8. Let y be j(-14). Let x = y - 5242. Round x to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 7*x**2 + 5. What is the units digit of v(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 11*y**2 + y - 14. Let f be n(11). Let h = -43 - -38. Sort f, 2, h.\nAnswer: h, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 14*x**3 - 17. Let s(y) = -6 + 23173*y**3 + 2 - 23168*y**3 - 2. Give 6*l(o) - 17*s(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*sqrt(98) - -4*(-1 + sqrt(98) - sqrt(98)) - 5*-4*(sqrt(98)*2 + 3))**2.\nAnswer: 38416*sqrt(2) + 238434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -34*(-174)\/(-261)*(-6)\/8?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 9 = 9*h. Suppose -h*o = -5*m + m + 33, 4*o + 16 = 3*m. What are the prime factors of (-109)\/2*m\/(-6)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 121 = s, 2*s - 277 = 2*n - 55. Let a = s + -92. Suppose 0 = -14*v + a - 0. Sort -2, v, -7, 2 in increasing order.\nAnswer: -7, -2, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*l - 32*l - l**2 + 2*l**2 - l**2 - 25*l - 2*l**2.\nAnswer: -2*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14849, 29702, 44555, 59408, 74261?\n\"Answer: 14853*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**4\/4 - 5*r**3\/3 - 4*r**2 + 9*r + 3. Is s(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/7))**28\/(v\/(v*v*v*(v\/v**(-3))\/v*v)*v*v**(2\/11)*v*v)*((v\/v**(2\/9))**(-4\/15))**44 assuming v is positive.\nAnswer: v**(44093\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7245622 or -7245648?\nAnswer: -7245622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 155, 346, 613?\nAnswer: 956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 12 = -14*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4)\/((d**(-2\/5)\/d)\/d)*d*d**(2\/17)*d**(-3\/5))**(-48))**(-1\/4) assuming d is positive.\nAnswer: d**(2721\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1091 + 171170.\nAnswer: 171169.8909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 120.6 * -2885\nAnswer: -347931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3287.68 - 3288. Which is the second smallest value? (a) u (b) 9 (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11948 + -11923. Solve -64*m + f*m + 117 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*q - 32 = -32 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 1\/16*r**4 + 0 + 7\/8*r**3 + 0*r**2 - 19*r. Factor v(b).\nAnswer: 3*b*(b + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**4\/24 - u**3\/6 + 54*u**2 - 103*u. Let n(b) be the first derivative of y(b). Calculate n(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1541*w + 773*w + 766*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39\/886 - 3349\/4430. Which is the smallest value? (a) 1\/115 (b) 2\/9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 93\/(-105) + (-12)\/(-20). Suppose -15 = 7*a - 2*a. Let v = 5.49 + -5.53. What is the second biggest value in v, d, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 237212*l**4 + 4*l**3 - 2*l**2 - 58398121*l?\nAnswer: 2846544*l**2 + 24*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36756 and 13984.\nAnswer: 128498976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2) + -4 - 1500\/(-6). Calculate the highest common factor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 588.1213 centimeters?\nAnswer: 5881213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 2*y - y)*(3*y - 3*y + y**2) - 3*y - 148*y**2 + 146*y**2 - 2 + 4*y**3 - 3*y**3.\nAnswer: 2*y**3 - 2*y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/185982 and 85\/21.\nAnswer: 1301874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(-52))\/((3\/14)\/((-2016)\/(-392)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/399)\/(18\/21) + 1\/(-2) + 0\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 358 = -222. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -15*k**5 - 395*k**4 - 1035*k**3 + 12995*k**2 - 11550*k = 0.\nAnswer: -21, -10, 0, 1, 11\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 10*f + 4. Calculate l(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202122101110100 - 10?\nAnswer: -202122101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 10257172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 1\/4*s**4 - 37*s + 85\/2*s**2 + 0*s**3 - 132. Differentiate n(x) wrt x.\nAnswer: 3*x**2 + 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 188 - 189. Put -3, -1\/4, r, -0.1 in descending order.\nAnswer: -0.1, -1\/4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2 + 1457\/658\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/72*(-48)\/30)\/(-60). Let i(u) be the third derivative of 0 - 1\/45*u**4 + 0*u - 1\/9*u**3 - 10*u**2 + b*u**5. Suppose i(t) = 0. What is t?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/3 + (-6)\/12*-2. What is the nearest to q in -3\/4, 0.5, -1\/4, 1\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -31. Suppose 3*u + b = 0, -2*p + 6*p - 468 = 3*u. Calculate the remainder when p is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2. Let h(o) be the second derivative of -o**4\/6 + 25*o**2\/2 + 5*o - 30. What is a(h(w))?\nAnswer: 4*w**4 - 100*w**2 + 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-36)\/(-1))\/(-36 - -40)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11796484727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61463 or 0?\nAnswer: 61463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*-2*sqrt(833) + -4*sqrt(833) + 0 + sqrt(833))**2 + -4.\nAnswer: 122447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 9.63167523?\nAnswer: 9.63167523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -15*a + 15618. What is the highest common divisor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13913 or 13914?\nAnswer: 13913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*s + 14*s + 6*s)*(-2 + 1 - 6) in the form q*s + t and give q.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 220683258488.\nAnswer: 220683258492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1686)\/7587 + (-1 - 1714716014\/18) + 2. Round i to the nearest one hundred thousand.\nAnswer: -95300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55010995.8 to the nearest one million.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7869700 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1520*k - 1569. Give j(1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1296 and 216144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 9*m - 2. Let u be o(-9). Let j(z) = 20*z**2 - 18*z**2 + 3*z**3 + 1 - z - 9*z**3. What are the prime factors of j(u)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 939\/3130*(-8)\/(-6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 0.275?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 - 22*y**2 + 67*y - 8. Let l be x(4). Suppose -l*k = -77*k. Let i be ((-2)\/(-3))\/(129\/9). Which is bigger: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 797 - 210 = -3*h, 0 = -4*h - 4*c + 1300. Let m(y) = y**2 + y + 47. Let n be m(0). Calculate the highest common divisor of n and h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459615 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24 (b) 45 (c) 1\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 1064421558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/(-1430)*6 + 969\/165?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10945*2)\/(89\/(-2670)). Round k to the nearest ten thousand.\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 11:22 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116834351?\nAnswer: 599, 195049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -82*w**3 + 2*w**2 + 8*w + 4. Let o be h(4). Calculate the remainder when 107 is divided by o\/(-105)*6\/8.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*f + 70 + 22, 2*k + 5*f = 124. Let g = -2926 + 2900. Let l = g + k. Solve 2*c + 4*q = -l, 0 = -3*c + c - 2*q - 18 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1848035 is divided by 52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -776, -1501, -2228, -2957, -3688, -4421?\nAnswer: -5156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*s - 2, -3*s + 8 + 3 = 4*f. Find the common denominator of -53\/10 and s\/(-3) + ((-45)\/(-50) - 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, e: 3}. What is prob of picking 2 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 7*r + 111 = -6*r. Solve r - 160 = 7*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52875 (base 9) to base 4.\nAnswer: -20202203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 2867067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21720658579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h + 1. Suppose -7 = 2*q - 11. Suppose -4*i + 8 = q*d, 2*d - d = -5*i + 7. Determine x(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137*j**3 - j**2 - 7305*j + 3*j**2 + 7305*j to the form o*j**3 + q + m*j**2 + f*j and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(3536\/910)*3320\/(-581).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) -46 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 11807910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81.53 - -82. Let x = 0.4700058 - g. What is x rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67540 and 13201.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - b**2 - 5*b - 1. Let t = 20 + -14. What is the remainder when h(t) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -149*c**3 + 9 + 3*c**2 - 3*c + 5*c + 4*c + 143*c**3. What is the remainder when 282 is divided by a(-2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-2\/9)*a*a**(-1\/3))**(-3\/2))**(-25))**(-6\/5) assuming a is positive.\nAnswer: a**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 1474 = -129*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - -5.8. Let i = 94\/147 - -4\/147. Which is the closest to -1\/2? (a) u (b) 1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from embememmbbem.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -515612, -515617, -515622?\n\"Answer: -5*c - 515607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 534640351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2569, -5001, -7299, -9463, -11493?\n\"Answer: 67*a**2 - 2633*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydyydyy. What is prob of picking 4 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**8\/(x**(-1\/10)\/x)*x*(x*(x*(x**(-9)*x)\/x)\/x)\/x*x*(x*((x\/((x\/(x\/(x\/x**(3\/5))))\/x*x))\/x*x)\/x)\/x assuming x is positive.\nAnswer: x**(17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12085925659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1203424 (base 5) to base 9.\nAnswer: -33608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 514895797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1788 or 334249\/187?\nAnswer: 1788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 + c - 1. Suppose 2*b = -72 + 272. Suppose 0 = -3*h + 8*h - b. Let q = -19 + h. Give u(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2217409.\nAnswer: 2217409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25, 123, 281, 493, 753, 1055, 1393?\n\"Answer: -l**3 + 36*l**2 - 3*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -2458, 17, -4.\nAnswer: -2458, -4, -1, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -1889\nAnswer: 9445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/5, 1\/4, -79, 41?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -4440 - 16061. What are the prime factors of v?\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, l: 4, t: 6}. Give prob of sequence ppp.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19923, 41181, 62439, 83697, 104955?\nAnswer: 126213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 + 45*p**3 + 252*p**2 + 624*p + 576.\nAnswer: 3*(p + 3)*(p + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or -807\/65?\nAnswer: -807\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 divided by 14?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*q - 17, -s + 2*s + 3*q = -7. Solve 2*u - s = 6*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 2*p - 4. Let a(c) = -c**2 + 1. Suppose -1 = 11*w - 133. Suppose 9*o = -w*o - 84. Calculate o*a(d) - s(d).\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 9*r**5\/40 - 5*r**4\/24 + 2*r**3\/3 - 6*r. Let a(f) be the second derivative of u(f). Is a(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45155\/8 + 5636. Calculate the common denominator of -59\/2 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*q = -2*q - 67, -5*q = 5*d + 205. Let k = d - -48. Solve -k*h + 1 = -5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 3*i**2 + 1\/12*i**4 + 0 + 0*i + 0*i**3 + 1\/20*i**5. Find the second derivative of g(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 3*l**2 + 19*l + 10. Determine r(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + 0*g - g)*(353*g - 20 - 355*g - 4) as f + b*g + s*g**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 84720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 1. Suppose 5*d + 5*i - 1 = 9*d, d - 8 = 4*i. Let h = -1 - -1. Let l(t) = h + 3 - 3*t + 0. What is d*x(v) + l(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.7 + -20.1. Which is the second biggest value? (a) -2\/7 (b) q (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + aa7?\nAnswer: ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*d, 0 = -2*i + 941*d - 944*d + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4285*k**4 + 846 wrt k.\nAnswer: 17140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 - 5*l**2 - 7*l + 5. Let m(b) = -2*b**2 + 4 + 2*b + 0*b - 2*b**3 - 2*b**2 - 8*b. Determine 5*m(t) - 4*p(t).\nAnswer: -2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1241563 or -1241561?\nAnswer: -1241561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5892 = 20*x + 471*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**4 + 5544*n**3 + 82566*n**2 + 147744*n - 1336257 = 0. What is n?\nAnswer: -1833, -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3182448 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: Suppose 7*h = 2*h + 2*c - 22094990, -13256980 = 3*h - 4*c. Round h to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**6\/120 + k**5\/10 - 5*k**4\/24 + k**3\/6 - 31971*k**2. Let i(d) = -d**2 + 7*d - 5. Let u be i(5). Give h(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/2 + (-1)\/(-6). Put a, -1, -1\/6 in decreasing order.\nAnswer: a, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14563*d**4 + d**3 + 160635*d**2?\nAnswer: 349512*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 4*n. Find h, given that 4\/3*h**2 + 4\/3*h**4 + n*h + 0 + 8\/3*h**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*a + 93*a + 59*a - 182*a.\nAnswer: -386*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20022 - 2?\nAnswer: -20101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -30144 to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-110)\/(-6) - 1\/3. Calculate the highest common factor of x and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1540 - -897. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1643208 at least -1643207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**6 + 7*l**2 - 3*l**6 - l**2 + 2*l**6 wrt l.\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 40749323.\nAnswer: 40749323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 3*p)*(1 - 1 - 2*p) + 8*p**2 + 56*p**2 - 95*p**2)*(-2*p**3 + 4*p**3 + 0*p**3).\nAnswer: -50*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**2. Let n(q) = -3*q**2. Let i(t) be the first derivative of t**2\/2 - 24*t + 11. Let b be i(10). Let l = -9 - b. Calculate l*v(p) - 7*n(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, o: 1, s: 3, e: 1, m: 1}. What is prob of picking 1 u, 1 m, and 1 s?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 5. What is y(45)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 60, 1\/3, 0, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -4)\/180*3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -12. Let l(j) = -j**3 + 10*j**2 + 15*j - 35. Let f be l(11). What is the greatest common divisor of u and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + (4 - 12) - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 13. Let b(x) = 12*x - 20. Let j be b(t). Let d = 169 - j. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -2 - (56 + -61)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -172534 and -0.54?\nAnswer: 172533.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**22*(m\/(m\/(m*m\/(m*m*(m*m*m**(-6\/5)*m)\/m)))*m*m)\/m*(m\/(m\/(m**(-1\/4)*m)*m))**(-29) assuming m is positive.\nAnswer: m**(-271\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -319 by -6.\nAnswer: 319\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 5433*r**2 - 54102*r + 129672.\nAnswer: -3*(r - 1801)*(r - 6)*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3 + sqrt(13) + -5)**2 + 3).\nAnswer: -20*sqrt(13) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 51. What are the prime factors of (15\/(-12) - w)\/((-2)\/64)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**13*r*r*r\/r**19)\/((r\/(r*r**(-24))*r*r*r*r)\/r**(27\/4)) assuming r is positive.\nAnswer: r**(-97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 56. Let q be (-1)\/(-3)*(-42 - -3). Let c = q + n. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61012 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250215 (base 7) to base 10.\nAnswer: -45729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**4\/4 + n. Let d(k) be the first derivative of 3*k**2\/2 + 986. What is d(s(z))?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -1)*(6 - 5). Suppose -7 = -5*q + 38. Let k = q + r. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 14 - 18 = 4*f, -2*f + 9*f + 19*f + 260 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -14 + 10*(6 + 138\/(-28))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3319, 7, 3 in descending order.\nAnswer: 7, 3, -3319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 1233?\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1426 >= -1427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -0.1, 0, 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1508151?\nAnswer: 3, 502717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, m: 6, k: 1, z: 4}. Give prob of picking 1 m, 1 t, and 2 z.\nAnswer: 108\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 1. Let n(c) = 10*c + 0 - 5 - 3 + 2. Give 6*m(f) - n(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -240562*b + 240576*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*3878.\nAnswer: 387.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c - 2*c - 4*c + c + c + (0 + 0 - 2)*(-c - c + 0*c) - 2*c + 4*c - c)*(22*c - 75*c - 15*c)*(4*c - 2*c - 4*c).\nAnswer: 272*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1 (c) -4 (d) -2 (e) -1\/1351\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 w when four letters picked without replacement from ronnwoo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 4. Let m be r(8). Suppose 898 - 3463 = -5*i - y, i = m*y + 534. Let c = -328 + i. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -0.023.\nAnswer: 0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/684*-6)\/((-572)\/429)?\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 14*s - 58 = 9*s, 2*r + 5*s = -22 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 206 + -200. Calculate the greatest common factor of 4 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-32\/5)*l**31)\/(l**(-15)\/l*l**(-36)) assuming l is positive.\nAnswer: l**(452\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -25, -5, -35, -2 in ascending order.\nAnswer: -35, -25, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, c: 1, x: 2, a: 1, l: 1, s: 2}. Give prob of picking 1 l, 1 k, and 1 c.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -7*t**6\/40 + t**5\/60 - 11*t**4\/24 - 7*t**3\/2 + t**2. Let u(w) = -11*w + 4 + 3*w + 4*w**3 + 10*w. What is -2*h(z) - 11*u(z)?\nAnswer: -2*z**3 - 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4\/10 - 2709*t**3\/10 + 286107*t**2\/10 - 564091*t\/10 + 140346\/5 = 0.\nAnswer: 1, 108, 2599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**5\/20 - 7*v**4\/12 - 2*v**3 + v**2 - 5*v. Let r be p(-4). Factor 15*c + 12 - r*c**2 - 23*c - 2*c**2.\nAnswer: -4*(c - 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(110) + (sqrt(110) - (sqrt(110)*-2 + sqrt(110)))))\/(sqrt(90) - (sqrt(90) + sqrt(90) + sqrt(90)*-4 - sqrt(90))))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcopxwx. Give prob of picking 1 o, 1 c, and 1 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -4242?\nAnswer: -4236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20526 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3311 + 816. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6723765 divided by 1.\nAnswer: -6723765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/2)\/m**(-1\/4))**(-1\/26))**(-45) assuming m is positive.\nAnswer: m**(135\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69787 divided by 1.\nAnswer: -69787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2037891 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 60, 82, 98, 108, 112, 110?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, 1, 126, 4, -101, 5 in descending order.\nAnswer: 126, 102, 5, 4, 1, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*l**2*v**3 + 6684*l*v - 128*v**3 - 4*v**2 + 2*v wrt l?\nAnswer: 10*l*v**3 + 6684*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(75) + -1) - (sqrt(75) - (5 + sqrt(75)*-1 + sqrt(75))).\nAnswer: -15*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 1. Let h be c(0). Let x = h - -2. Let d be 1 - (-1 - (4 - 1)). Solve x*p - 17 = d*f - f, -16 = -4*p + 4*f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 76.250278517\nAnswer: 76.650278517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 112 = -10*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.186 - -3.029. What is x rounded to one decimal place?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.044 + 0.623. Let o = m - -0.3967. Round o to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -l + 40, -3*l = -4*j - 26 - 6. Let m be j\/(-33) - 2\/(-3). Is m less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48201 + -45887. Calculate the remainder when p is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39073421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v**4 + 1843*v**3 - 12967*v**2 + 20110*v - 3000 = 0.\nAnswer: 1\/6, 2, 5, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + p**3 + 1)*(75 + 73 + 92) - 5 + 24 - 19 + 123*p**3 as k + u*p**2 + z*p + t*p**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 225.34499 and 0.5.\nAnswer: 112.672495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 64303 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16 and 28.51.\nAnswer: -4.5616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 18*h - 3. Let j(k) = -k - 1. Let t(f) = 6*j(f) - s(f). Let r be t(9). Suppose -2*q = q - 18. Calculate the highest common divisor of q and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -f - 4*h - 36, 5*f + 5*h - h + 0*h - 46 = -103 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -1866?\nAnswer: -1872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -152.913 - -153. What is the second smallest value in 1\/33, v, -2\/5?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/7 - 50931*a\/7 - 7276.\nAnswer: (a - 50932)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-635)\/60)\/(-1) + -11)*54\/(-30)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4*12\/(-2). Suppose -u = -5*r + 20, -g*r = -6*r + u + 12. Factor -16*z**3 + 4*z**r + 0*z**4 + 4*z**2 + 8*z**3.\nAnswer: 4*z**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2\/5*j**4 + 4\/15 - 34\/15*j**2 + 26\/15*j**3 + 2\/5*j - 8\/15*j**5 = 0.\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 22*i - 1. Let u = 10 + 8. What are the prime factors of n(u)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -205, -328, -461, -610, -781?\n\"Answer: -k**3 + k**2 - 119*k - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-5)*10*(-2)\/12. Let o(d) be the first derivative of -y*d**3 + 2 + 0*d - 3\/2*d**2. What is the second derivative of o(h) wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 19862 = -2*d, 9931 = 2*s - s - 5*d. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 1\/2*c**2 + 7*c - 2. Determine n(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233, 258, 283, 308, 333?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.68875ug in nanograms?\nAnswer: 20688.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -273466.06 * 0.1\nAnswer: -27346.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1630 and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -225 + 54. Let b = t + 189. What is the smallest common multiple of b and (-3)\/((-6)\/(-68))*-1?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/305 and -57\/1674595.\nAnswer: 102150295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 15.1, -0.5 in increasing order.\nAnswer: -0.5, 4\/7, 15.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*x = 2099, -8*m + 423 = -7*m - x. List the prime factors of m.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 8:22 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42971730 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/180*-9*-10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44\/(-44) - 5\/((-5)\/6). Let p = 16 - 14. Let n(f) = f**3 + f**2 - 3*f - 2. Let j be n(p). Which is the third biggest value? (a) -18\/13 (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -9. Suppose -2*l + 13 = -3*s, 2*l + s = 3 - f. Suppose -2*d + 316 = o, 840 + 374 = 4*o - l*d. What is o rounded to the nearest 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 47*s**2 + 364*s - 23. Does 3 divide n(-55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 36973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1636 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2667, 5337, 8011, 10689, 13371, 16057, 18747?\nAnswer: 21441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (3 - 7)*319\/396.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 3148643269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, -2, -3, 54 in descending order.\nAnswer: 54, 7, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 47.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174 and 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*i - 80*i**2 + 161*i**2 + 10 + 38 - 83*i**2 + 7 to the form p + d*i**2 + v*i and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000213817 to 5 dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/177, -2\/3, 0, -3\/5, 1, -2.86?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 y when three letters picked without replacement from ttyacxayaaxyyyxaa.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34058527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -48008\nAnswer: 3\/48008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-7)*q**(-1\/4))\/(q**21*q\/(q\/(q\/(q**(-2)\/q))*q)))**32 assuming q is positive.\nAnswer: q**(-1000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g. Let s(t) = -18*t + 88. What is -s(v) + 12*y(v)?\nAnswer: -6*v - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304)*-2 - sqrt(304))*4)**2 - (2 + sqrt(304))**2*1) + -4 + 5*sqrt(304)*-2*-6.\nAnswer: 224*sqrt(19) + 43464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -4\/105*l**7 + 0*l**3 + 0 + 1\/60*l**5 + 0*l + 0*l**4 + 0*l**6 + 16*l**2. Find the third derivative of a(z) wrt z.\nAnswer: -192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*l**4 - l - 107*l**3 - 49*l**4 + 30*l**4 + l**2 to u + n*l**4 + d*l**2 + y*l**3 + p*l and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3)*h*h*h*h)**(-1\/40) assuming h is positive.\nAnswer: h**(-11\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 7, b: 4, v: 1, z: 2}. What is prob of sequence bin?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 7*x**2 + 10*x - 7. What is the remainder when (-274)\/(-4) - 6\/4 is divided by c(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105 + 105.3. Let k be (-92)\/204 - 1\/(-3). Let g be 0 + -3*20\/45. Which is the fourth smallest value? (a) v (b) -0.4 (c) g (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 1. Let v be 204\/48 + 2\/(-8). Let w be g(v). Solve -2*c - w*c - q = 6, 2 = -2*q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 12*y + 87. Let n be l(-7). Sort n, 7, -2 in ascending order.\nAnswer: -2, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 10 = 5*d, 2*x + 21 = 2*d + 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-8) + -1 + 41\/(-164). Put s, 0, 13 in ascending order.\nAnswer: s, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 6*h**2 + 6*h - 9. Let a be x(-7). Suppose -c = -6*c + 3*q - 45, -5*q = -3*c - 43. Let y be (-13)\/3 + (-2)\/c. Sort 0, a, y.\nAnswer: y, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3 - i**2 + 4 + 2*i - 4. Let x(k) = k**2 + 29*k - 27. Let b be x(-30). Let z be f(b). Solve 0 = 5*t - 3*c + 31, 5*c - 2*c - 6 = z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-2)*(-8)\/36*6. Suppose 4*d - 2*d + 50 = 5*a, 32 = a + o*d. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5814 (base 13) to base 3.\nAnswer: 121221120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4 = 3*y. Solve y*z - 5 = 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -3 (b) -0.4 (c) -20 (d) -1\/4 (e) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -419, -319, -147, 103, 437, 861?\nAnswer: 1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0343 plus 468890400?\nAnswer: 468890400.0343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01288249 rounded to 4 dps?\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4396 - 4398. What is the closest to -8 in -4, 1\/5, j, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354306 is divided by 1322?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 142 - 137. What is the lowest common multiple of 6 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 15*v**3 - 92*v**2 - 78*v + 565. What is k(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9605?\nAnswer: 5, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 42. Let m(k) = -4*k - 175. Let p(q) = -6*m(q) + 25*s(q). Let h(x) = -x**3 + 3*x**2 - 4*x - 5. Calculate h(y) - 4*p(y).\nAnswer: -y**3 + 3*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*u - 108*u**3 - 53 + 103*u**3 + 7*u wrt u.\nAnswer: -15*u**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(121) + sqrt(121) + sqrt(121)*1)\/sqrt(11) - sqrt(275)*2 - ((-2 + sqrt(11) - sqrt(11))*-6 + 1))**2)*1.\nAnswer: 182*sqrt(11) + 706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 2*x - 2*x + (1 + 1 - 4)*(x + 0*x - 3*x) - x + 2*x + x - 3*x + 3 - 3 + 0*x - 3*x + 2*x - 1261 + 1261 + 58*x to the form r + a*x and give a.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/9 + 5\/(135\/42198)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*i + 5*i - 6 + 1266 = 0 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9189 - -9189.3. What is the closest to -1 in 0.2, 377, 0.4, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 12:06 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 40, k - 35 = -s - 46. Let v(q) = -q**3 - 3*q**2 + 6*q + 13. Give v(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -32*n + 28*n - 2, -v + 7 = -2*n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yewvhyvwvvw. Give prob of sequence ey.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 341.6953 decades?\nAnswer: 3.416953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11178334\/8435463 + 3\/68581. Let q = 1\/123 + b. Let c be -2 + (2 - (1 - 2)). Which is greater: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeezezeezeezzzeezz. Give prob of sequence zeee.\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o + 537 + 3 = -38*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2 - 18*b - 45 = 0. Calculate b.\nAnswer: -15, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**16\/v)\/(v\/(v*v\/(v\/(v**19\/v)*v))) assuming v is positive.\nAnswer: v**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 2*y**2 - 2. What is the remainder when 8 is divided by s(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*s + 2*s - 18, 0 = -i - 2*s + 10. Let x be (-2)\/(34\/21 - i\/7). Let w be 100\/(-30)*2\/5. What is the third smallest value in w, -5, x, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 3, 4, -2\/25, -2 in decreasing order.\nAnswer: 4, 3, 1\/8, -2\/25, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18*1 - (1 - 4 - 1). Let m(h) = 4*h - h + 8*h - 3*h - 52. Does 9 divide m(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -117*x + 6. Let m(a) = -238*a + 14. Give 2*m(b) - 5*s(b).\nAnswer: 109*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -738 - -742. Which is the smallest value? (a) -9 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2205 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2151502055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 f when three letters picked without replacement from ffjnfxdnfdnj.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - 2*o**2 - 3*o**2)*(-2 + 2 + 4) + o**2 - 6*o**2 + 0*o**2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**4\/12 + 7*c**3\/6 - c**2\/2 + 51*c. Determine b(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2. Let d be q(2). Suppose -2 = -l + 2*x + 3, 2*l - 5*x - 13 = 0. Let v be 10\/(-25)*(-2 - l). Which is the nearest to v? (a) -0.3 (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**6\/120 + u**5\/6 - u**4\/8 - u**3\/6 + u**2. Suppose 0 = 3*c + 6 + 24. What is the units digit of i(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2. Let g(u) = 1700 + 3*u**3 - 2*u - u - 1699 + u**2. Let m be g(1). Let l(d) = 166*d**m - 52*d**2 - 55*d**2 - 54*d**2. Give v(l(x)).\nAnswer: 100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(2\/65)*(l\/((l*l**(-3)\/l)\/l)*l)**(-36) assuming l is positive.\nAnswer: l**(-14042\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -211\/4 - -53. What is the nearest to a in 5, -2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.16 or -2.31?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 25*r - r**2 + 25*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s**3 + 0*s**3 - 2*s**3)*(-1 - 1 + 3) - 14*s**3 + 6*s**3 - 2 + 2*s**2 + 9*s**3 to the form x + p*s**2 + w*s**3 + z*s and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-5) + (-29)\/(725\/(-16740)).\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - q**2 + 3*q - 2. Let f be a(3). Let c = f - 10. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 1. Suppose -10*u + 160 = -5*u. Suppose 5*n + o = u. Solve -n*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5747 is divided by 962?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dprppypppppdpyvdp. What is prob of picking 1 r and 1 y?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 + 512*d**2 + 30015*d - 2471. Calculate n(-165).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 19.964. Let y = -0.136 + l. Which is the closest to y? (a) 3 (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3536 < -2884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1667655?\nAnswer: 3, 5, 11, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*z + 10, -26*z + 25*z = -4*l - 19. Which is bigger: l or 364?\nAnswer: 364","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -16, -24, -46, -88, -156?\n\"Answer: -a**3 + 2*a**2 + a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/110 and -19\/2106312.\nAnswer: 115847160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3285472 and 33864.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llxxxxxpllllxvxxkplx. Give prob of sequence pl.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**3 - 4*r**3 - 5*r**4)*(4*r - 8 + 8 + (0*r + 0*r + 2*r)*(-1 + 4 - 1) + 2*r + 1 - 1 - r + r + 2*r) - r**5 + 2*r**5 + 0*r**5.\nAnswer: -59*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -s - s. Let a(t) = t + 3. Does 13 divide a(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, r: 17}. What is prob of picking 1 r and 1 c?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -318290 to the nearest 1000.\nAnswer: -318000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 391978 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 2*l = -19, 4*l = -4*v + 4 - 36 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 + -4.92. Let j = 0.02 - -7.98. Let n = j + -6. Which is the third smallest value? (a) n (b) 0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 6*k - k + 329, 0 = -4*i - 16. Let a = -51 - k. Calculate the remainder when a is divided by 9 - (-16)\/(-1 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23692305?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -27*x + 1616. Determine u(60).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 6*h)*(-6 + 0 + 2)*((0 - 1 + 3)*(0 - 1 - 1) + 2 + 1 - 1 + 4 + 3 - 6) to the form u + s*h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 3*o - 5 = -2*g, 0 = 5*g - 5*o + 5. Let p(z) = 7*z. Determine p(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 113.31, 3\/7, 4, -28, 0.5 in descending order.\nAnswer: 113.31, 4, 0.5, 3\/7, -20, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209690, 209934, 210342, 210914?\nAnswer: 211650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7112, 14223, 21336, 28451?\n\"Answer: a**2 + 7108*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2630481 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 - -53. Let r = l + 99. Let x = 52.99999997 - r. What is x rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0685303 rounded to 1 dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18542?\nAnswer: 2, 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45381258 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -30*b. Let q(z) = -8*z**2. Calculate g(q(k)).\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1866242 rounded to two decimal places?\nAnswer: -1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -3. Let l(j) = j**3 + 5*j**2 - j - 4. Let r be l(s). Does r = 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (-2 - (3 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 390527271 divided by -3\nAnswer: -130175757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 + 9)*6\/(-2). Let l be z\/24 + 114\/8. Suppose -l*u - 66 = -17*u. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/312 and 19\/25723464?\nAnswer: 25723464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 9) to base 13\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5815149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {s: 1, b: 1, o: 1, w: 2, t: 1, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*f + 3*f. What is the units digit of 6\/(-15) + 57\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 299 - 170. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 3\/7 (c) -1 (d) -0.7 (e) -33 (f) -5.7 (g) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276937 is divided by 92310.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 - 20 = 14*c - 3593*n + 3598*n, 2*n = -c + 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -113 + 61. Let v = u + 70. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424141555 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 78*g**2 - 144*g - 24289. Determine p(-80).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**4\/12 + j**2. Let x(a) = 13*a + 33. Let w(t) = -28*t - 71. Let b(r) = 7*w(r) + 15*x(r). Calculate y(b(z)).\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -8. Is o greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*w + 1 - w + w + w + 0*w - 2*w + 3*w + (-1 + 1 + 1)*(3*w - 5*w + 4*w) + 3 - w - 3)*(-2*w - 3*w + 0*w)*(-w + 5*w - 2*w).\nAnswer: -50*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/3 - 121*a**2 + 722*a\/3 - 120.\nAnswer: (a - 18)*(a - 1)**2*(a + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r - 7. Let d(s) = 3*s - 3. Let f(b) = 5*b - 15. Let x(t) = 5*d(t) - 2*f(t). Give 13*i(y) + 6*x(y).\nAnswer: -9*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.534 - 1.734. What is the nearest to b in -12\/7, 0.3, -2, 19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -9. Let s be 1\/(h\/51 - 0). Let x(j) = -17*j. Let i be x(-8). Calculate the greatest common factor of s and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2736) - (sqrt(2736) + 5*sqrt(2736)*-4)) + sqrt(2736))*-4)**2.\nAnswer: 19305216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -21. Let z be b\/(-5) + (-108)\/(-20). Suppose z*d = -2*h + 5 + 3, 5*h - 3 = -4*d. What is the least common multiple of 22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*r + 49 - 14, -5*r = -10. Let x be (4\/10)\/(6\/k). What is the second smallest value in -0.2, -0.5, -12, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 h when three letters picked without replacement from {h: 1, c: 3, y: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5*22\/44 + 2 + (-61)\/2\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 8*c**2 + 12*c - 27. Let w be h(7). Calculate the remainder when -113*(w\/20)\/(12\/(-30)) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + 38049\/(-9))*3\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 5*w**2 + w + 5. What is o(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 76*h + 67. Let s(v) = 152*v + 137. Let q(y) = -11*c(y) + 6*s(y). What is the derivative of q(p) wrt p?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 2:08 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*r = 4. Let i be 92396\/12 - r\/(-6). Round i to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12726082 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1099, -2189, -3273, -4351?\n\"Answer: 3*v**2 - 1099*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*c - 2 - 642*c + 2.\nAnswer: -610*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -437 + 443 - (1 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45690 + -45689.99. Let i = -0.5 + 2.5. Let r = -0.1 + 0.1. Which is the second biggest value? (a) i (b) t (c) -4 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/17? (a) -9 (b) -12431 (c) 1\/11 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -619 or -1235\/2?\nAnswer: -619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 163.275637 and -4.\nAnswer: -653.102548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5389280 divided by 538928\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -30632*x + 15321*x + 15307*x. Let w(r) = 617*r + 2. Give q(w(p)).\nAnswer: -2468*p - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 505227 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-855)\/570 + ((-7)\/(-3) - 2\/6). Do g and -180 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(1\/6))\/(m**(-6)*m))\/(m*m*m\/(((m*m**(-21)*m*m)\/m*m)\/m*m)*(m\/(m*m**(-4)))\/m))**(3\/11) assuming m is positive.\nAnswer: m**(-107\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 223810 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: Is 1169000 equal to 1169000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 20799*z**3 - 9*z**2 + 10*z. Let c be u(-10). What is c rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 455.7 + -455.2. Let k = 0 - -0.1. Let q = -16 + 16. What is the second smallest value in b, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 541604 and 448?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 17940204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 bigger than 2\/445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 7:13 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 260 - 82. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3428 + -3432. Let r = -6 + 6.4. Let z be (-4)\/14 - (-25)\/(-35). Which is the nearest to z? (a) q (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -28665, 7 in increasing order.\nAnswer: -28665, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + 2*n - n)*(2*n - 4*n + 3*n) + (-2*n + 2*n - 2*n)*((4 - n - 4)*(1 - 1 + 2) + (-n - n + 3*n)*(2 - 5 + 0)) to the form u*n + p*n**2 + s and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*q = -2*l - 6, -36 = -3*l - 3*q. Suppose -4*t + 3*t = -l. Let d = t + 1. Round d to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/15 - (3 + 69\/(-15))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 51, -8, -2\/3, -2\/9, -22\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/6)\/(1\/8). Calculate the remainder when 6 is divided by ((-6)\/b)\/(3\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 15 = -t, 0*t - 4*q + 16 = t. Solve -5*r + 5 = 4*l - 2, 3*r = -5*l + t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - 3*x**4 + 13*x**4 + (0*x + 2*x - 6*x)*(x**3 + 2*x**3 - x**3).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-3\/4)\/s))\/s**6 assuming s is positive.\nAnswer: s**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -120102 (base 3) to base 7\nAnswer: -1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0, 5, -5.\nAnswer: -5, 0, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 15 = -5*m - 5*z, -m + 12 = -2*z. Suppose j = -2*g - 6, 5*j + 5*g + m = -3. Calculate the greatest common factor of 28 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4443351183 to 3 dps.\nAnswer: 0.444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 70 - 730*l - 10996*l + 270*l - 70 in the form t + z*l and give z.\nAnswer: -11456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04059 and -30635.\nAnswer: -30635.04059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2)*a*a*a**(-3\/7))\/(a**(-1))**(-41))\/(a\/a**(-1\/7)*a*a**(3\/2)*(a\/(a*a\/a**(2\/3)))\/(a\/(a\/((a\/(((a**(1\/8)*a)\/a*a)\/a))\/a)))) assuming a is positive.\nAnswer: a**(-7369\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3690 is divided by 154?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4\/9 + 1274*z**3\/9 + 417*z**2 - 76160*z\/9 + 127100\/9 = 0. Calculate z.\nAnswer: -1271, -10, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-22)*(-355)\/(-1065).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1624777050 and 325?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 612167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -130*j - 2225 - 1155 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:06 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (21 - 15) - -28.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67\/5? (a) 44 (b) -1.9 (c) -3 (d) -2\/9 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*r - 5, 0 = 5*r - 2*u - 31 - 0. Let y = -129 + 133. Which is bigger: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(2 - (-28)\/(-16)). Let w = 1.4 - 1. Let p = -4.4 + w. Which is the second smallest value? (a) -2 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {d: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 3 - 48\/(-9)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.5. Let u = -4 + 2.2. Let x = -2 - u. What is the closest to x in q, 2\/15, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -6*p**4 + 9964*p**3 - 164362*p**2 - 62540*p + 111792 = 0?\nAnswer: -1, 2\/3, 17, 1644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 324.1355 + -324. Let t = -257.4355 + p. Let b = 246 + t. Round b to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 4*b - 4. Let x be t(4). Let z be 0 - -2*(-200)\/x. Suppose -14*v = -10*v - z. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1470 and 26\/2953475.\nAnswer: 17720850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 + 85. Suppose f*d + 34 = 5*s, -20 = 3*s - 4*s - 4*d. What is the least common multiple of 14 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + 5. Let c = -95 - -112. What is the remainder when w is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -1a7?\nAnswer: 1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khhvkhkhogrkkghrh. What is prob of picking 1 g, 1 r, 1 h, and 1 v?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144637 is divided by 35254?\nAnswer: 3621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*(-2)\/(-20))\/((-3)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*g - 674, -3*g + 5*g - 1150 = -5*o. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.382665 * 6\nAnswer: -2.29599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29017.\nAnswer: 29017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/25, 4.0072, 188?\nAnswer: 4.0072","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 320 and 195?\nAnswer: 12480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 12 = -b. Let t be (3 + b*1)\/(-1). What are the prime factors of (0 - 4\/6)*t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129*d**2 + 169*d wrt d.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -217.340153 rounded to zero dps?\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-328)\/(-123)*6\/(-4). Let v = 73 + -61. Put 0, v, -2, n in descending order.\nAnswer: v, 0, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**3\/3 - g**2 - g - 4. Solve c(z) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1786 + 367*i - 402*i - 1786 + 1748*i + 634*i.\nAnswer: 2347*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 4.7. Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*p + 31*p - 97*p + 41*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 7:40 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16.64, -27, -1, 0.4, 71 in decreasing order.\nAnswer: 71, 16.64, 0.4, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - x - 4. Let h be m(3). Let k = h + -8. Let v be ((-2)\/2)\/(-5*2\/(-10)). Sort k, -4, v, 5 in decreasing order.\nAnswer: 5, k, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from {e: 9, t: 11}?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-2 + 1 + 0). Let x be (-8)\/110*2\/4. Are u and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l + 16. Let w be d(2). Let f(r) = -8*r**3 + 12*r - 5. Let q be f(w). Let a = 534 - q. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1366 is divided by 90?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - v + 2 - 1 = 0, x + v - 1 = 0. Let d be 2*(-2 + 3 - x). Let t = 5 - 2. Solve -3*z + 2*s + 9 = -d*s, -s - 6 = t*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-75)*(0 - 3\/(-2))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29545739689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zppnpprinkkk. Give prob of sequence pkik.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = -12*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - -24) + -3 + 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 26*l - 113. Let p be ((-30)\/((-35)\/(-7)))\/(1\/5). Let y be d(p). What is the nearest to -1 in -2, y, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -85?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -2*d - w + 87, -d + w + 19 = 0. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1913*j**5 + 86*j**4 - j**3 - 3394803*j.\nAnswer: 38260*j**3 + 1032*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000010000110000 (base 2) in base 13?\nAnswer: -c8723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 63*q - 4. What is s(1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 + -1 - 0) - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -107 + -740?\nAnswer: -847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**5\/7 - 22*c**4\/7 - 40*c**3\/7 + 130*c**2\/7 + 216*c\/7 + 72\/7 = 0.\nAnswer: -2, -1, -1\/2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001363 rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 8*m**2 - 13*m - 6. What is n(10)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 849\/7641 - (3 - (-1074)\/(-54))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17195.017649 rounded to 0 decimal places?\nAnswer: 17195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 16 + (-181 - (107 + -296)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5) + sqrt(5) + sqrt(45) + sqrt(5)) + sqrt(288) + (sqrt(288) - ((sqrt(288)*1)**2 + sqrt(288)) - sqrt(288)).\nAnswer: -288 + sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51797 is divided by 280?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1793 = 1791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/2 - -3)*-8. Suppose -2 = d + q*u + 4, 0 = -2*d - u + 2. Suppose o - d*m = 45, 3 = -2*m + 9. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6*v**2 - 2*v. Suppose -3*o = -2*o + 3*j + 10, -o + 4*j + 18 = 0. Let z(l) = l**2 + 1. Determine o*z(x) + m(x).\nAnswer: -4*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 20*u - 21. Let c be v(-9). Is 147 - (30\/18 - 1\/c) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + -40 - (5 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8179.77 + -8265. Let s = -1.23 - c. Let g = 80 - s. Put -1\/4, g, 1 in decreasing order.\nAnswer: 1, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + s - 4 = 0, 0*s = s - 4. Let o(d) = z - 1 - 4*d**2 - 2*d**2. Give o(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1863261969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 54*y - 322. Give r(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k**3 - 25*k**3 + 6*k**3 + (2 - 4 + 0)*(-k**3 - k**3 + 4*k**3).\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 4 - 1 + 3)*(2*p**2 + 2 - 2).\nAnswer: -4*p**4 + 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 571901 or 571981?\nAnswer: 571901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 599540781 to the power of 1\/2, to the nearest integer?\nAnswer: 24486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**4 - 2*r**2 - 2*r + 1. Let g(p) = -2*p**4 + 43*p**3 - 2*p**2 - 2*p + 1. Let w(v) = -4*f(v) + 4*g(v). Determine b so that w(b) = 0.\nAnswer: 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003731201 rounded to 5 decimal places?\nAnswer: 0.00373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 - 183 = -5*x. Calculate the smallest common multiple of x and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 148*b**2 - 402800*b + 250332 = 0. What is b?\nAnswer: 23\/37, 2721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 232230.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llyl when four letters picked without replacement from ytyllttbyttlyyyyly.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -992, -4129, -9414, -16853, -26452, -38217, -52154?\n\"Answer: -f**3 - 1068*f**2 + 74*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -53. What is the remainder when z is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -10072*r - 20133. Determine y(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 15216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5172 and 33761092?\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2127 - 2123. Sort 1, a, 0, -191 in decreasing order.\nAnswer: a, 1, 0, -191","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109980 - -359683. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6575*i*y - 3354*y wrt i.\nAnswer: -6575*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12313 and 14917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30729301.66 rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 5*l**2 + l - 5. Determine v(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 3*h + h - 2. Let w(u) = 2*u - 12. Let x be w(8). Let m(b) = -x*b + 2*b - 4*b + 2*b - 3. What is 6*k(y) - 4*m(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 285*f + 962. What is d(-3)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*n - 3 = 22, -q - 13 = 5*n. Let y(z) = -z**3 + 3*z**2 + 1. Let x be y(3). Suppose 0 = r + 11 + 1. Sort r, x, q in increasing order.\nAnswer: r, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 8*w**2 + 12*w + 8. Determine c(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**2 + 9*c + 49*c + 4*c**5 - 174209*c**4 - 8*c**5 + 13*c + 174219*c**4 wrt c.\nAnswer: -240*c**2 + 240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3348 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + 203254?\nAnswer: 203261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 10 = -u, -152*d + 156*d = -5*u + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4716, -4691, -4678, -4683, -4712, -4771?\nAnswer: -4866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*v + 2*v - 6*v to r*v + t and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a centimeter in micrometers?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24 and 145\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**30\/((x**(-4\/9)\/x)\/(x**(-6)\/x)) assuming x is positive.\nAnswer: x**(-320\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -484 + 533 - (1 + 23)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -418 to the nearest 10.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*f + 3424 = -50*f - 4087 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2312 + -2312.112. Which is the nearest to 0? (a) -2\/11 (b) p (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316986343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -101*p**2 - 209*p - 18. Let h be d(-2). Sort -1, h, -1416 in decreasing order.\nAnswer: -1, h, -1416","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence husu when four letters picked without replacement from {u: 8, s: 1, o: 4, n: 2, h: 1}?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 13*i**2 - 15*i + 16. Let u be t(14). Put 1, u, -9 in increasing order.\nAnswer: -9, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 43. Let w(h) = 2*h**2 - 79 - u*h**3 - 27*h**3 + 78. Is w(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -1\/6 (c) 5 (d) -2 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 96*s**4 - 299294*s**2 + 299293*s**2 + 1282*s**4 - s**4 - 3*s**4 + 2*s**4 + (5*s**2 - s**4 - 5*s**2)*(-2 + 6 - 3) - s**4 + 2*s - 2*s.\nAnswer: 1374*s**4 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((1*2)\/(81\/54))\/(-6)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 593 a factor of 1054354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15390 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/20007 and -61\/3309345.\nAnswer: 565897995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -4073 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**2 + y**2 + 3*y**2)*((1 - 5 + 2)*(-2 + 0 - 4) + 2 + 1 - 4) - 402 - 59*y**2 + 402.\nAnswer: -81*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91 - 91. Suppose 0 = -4*q - 5*n + 2, -3*q + 3*n + 13 + 2 = k. Suppose -4*g + 5 = 1. Solve -q*m = -2 - g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 20 = 0, 1206*j = 1203*j - q + 61474. What are the prime factors of j?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + (sqrt(1331) - 3*sqrt(1331)))**2 - (-2*sqrt(99) - sqrt(11))**2 - (-5 + (sqrt(1100) + 3)*2).\nAnswer: -20*sqrt(11) + 791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4. Suppose u = -2*s - s + 6. What are the prime factors of (1 - s)\/(1\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-111 + 104)\/((-2)\/1346)?\nAnswer: 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -1345034?\nAnswer: 15\/672517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 32*x - 122. Let o be p(28). Let g(c) be the second derivative of c**5\/20 + 3*c**4\/4 - 7*c**3\/6 + 3*c**2\/2 + 5*c. What is g(o)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15955*f**2 + 15954*f**2 - 428 + 78*f - 1093.\nAnswer: -(f - 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 66674133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 11:35 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 341555657 to the nearest integer?\nAnswer: 18481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**5\/20 + 11*y**4\/12 + 3*y**3 + 4*y**2 - 19*y - 32. What is l(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5115*x - 725. Let m(y) = 12786*y + 1810. Let r(i) = -12*g(i) - 5*m(i). Differentiate r(w) wrt w.\nAnswer: -2550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75323*k**3 - 646*k - 105353266 wrt k?\nAnswer: -225969*k**2 - 646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -351802.41 - 9\nAnswer: -351811.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1243, -1236, -1223, -1204, -1179, -1148?\n\"Answer: 3*n**2 - 2*n - 1244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 4 + -6)*(-16)\/3. Let g be 2\/(-8) - 2*(-42)\/t. Suppose -k + g*k = 5196. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22199.391 to the nearest integer.\nAnswer: 22199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/8)*s\/s**(-2\/15)*s*s*s**(2\/23)*s**(-8)\/s)**(-14))**(8\/17) assuming s is positive.\nAnswer: s**(228158\/5865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6 less than -869?\nAnswer: -865.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z = -19*z - 56*z - 3696 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 589847359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/12 - (-51*(-20)\/36 + -3).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 100*x - 2. Let f be (6\/15)\/((-1)\/(-5)). Let l be o(f). Find the second derivative of -5*s**2 + 198 - l - s - s**2 wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118 - 125 - w + 2*w.\nAnswer: w - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 15*o**2 - 37*o + 68. Let u be c(17). Solve 5*h - 3 - u = -5*n, -8 = n - 2*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -285, 4, 9.1, 2\/11 in decreasing order.\nAnswer: 9.1, 4, 0.2, 2\/11, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a + 4*a - 3*a as q + z*a and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(0 + (-6)\/4). Let x = a - 4. Is (-1)\/x - (-25 + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -316 or -2?\nAnswer: -316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8*20*(-1)\/(25\/(-25))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 9. Let k be n(-8). Let u = k - -5. Suppose 9552170 = u*j - 15647830. What is j rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m + 50 + 46 = -189 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(275) + 1)*-3*-3 + 5 + 5 + 3*(1 + sqrt(1331)))**2.\nAnswer: 4056*sqrt(11) + 67600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 + 27*m + 45. What is c(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1013 (base 5) to base 4\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13574\/3 + 4405. Let h = l - -120. Are h and 5\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 12:40 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9575, 1473, 19889, 45667, 78801?\nAnswer: 119285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1333\/2 + -692. Let i = p + 25. Let q = -2.384 - 0.616. Which is the nearest to i? (a) 0.1 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**5\/35 - 11*o**4\/14 + o**3\/21 + 11*o**2\/7 - 6118. Let z(l) = 0. Calculate l.\nAnswer: -22, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, 5, -11, 28344, -4, 2, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 25 = 2*p. What is the units digit of (-12)\/p - 342\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 5*d - 2. Let h be n(-3). Let g be (-2 + 1)*(-28)\/14. Solve h*w - 4*b = 8, -g*w - b + 10 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 2*i**2 + i + 2. Let l be a(-2). Suppose -2*w + l = -4*h, -4*w = -h + 6*h - 29. Is 8 a factor of (-2 + 17)*4\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)*5 - ((sqrt(160)\/sqrt(4) + sqrt(40))\/sqrt(8))**2 - (sqrt(720) + -1 + sqrt(720) + -1 + (sqrt(720) + 0 + -1)**2).\nAnswer: -739 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4984*u - 966762. Determine p(-194).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 9:56 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27402776*z + 34315763 wrt z.\nAnswer: -27402776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 583\nAnswer: 3\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, -5000 in decreasing order.\nAnswer: 15, -4, -5000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23680 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119876 is divided by 845.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*y + 2494 = -81 + 583 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b + 7. Is d(-6) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-10)*(-15)\/(-6). Suppose 180 = 2*d + 5*p, 5*d + h*p - 89 = 399. Suppose 4*b + c = 91, 4*b - d = 4*c - 8*c. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1375089*g**3 - 5*g**2 + 1 - 8 - 9*g + 1375088*g**3. Determine v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 + 4*w. Let q(x) = -x**2 + 2*x - 2. Let m(g) = 3*o(g) - 5*q(g). Suppose -61 = 6*t - 43. Calculate m(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -529 - -532. Solve -t + 12 = -3*i, -4*i + h*t = 19 + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -873800 divided by 6425.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 1.44\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11504887 and 779?\nAnswer: 218592853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67565 is divided by 113?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -97, 42, 221, 434, 675, 938?\n\"Answer: -y**3 + 26*y**2 + 68*y - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/l**(-2\/15))*l**(1\/2)\/l*(l*l*l\/(l**(-2)*l*l*l))**31 assuming l is positive.\nAnswer: l**(1841\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -311959\/41 >= -7608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + y**2 + 1. Let u(d) = 49 + 3*d**2 - 48 - 2*d**2. Determine -6*o(x) + 6*u(x).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 24 = 3*j. Suppose 0 = 3*f + 5*c + 314, -7*c = -5*f - 9*c - 517. Let m = f + 156. Calculate the remainder when m is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*a + 1 + 15 = 0, 0 = 5*x + 4*a + 2. Let i(h) = -4*h. Let j be i(0). Solve j = x*d - 7*d - 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -152 + 151.937. Let i = r - 0.067. What is the third biggest value in -2\/11, i, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3070745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(-5 + 6 - 2 + 4*o)*(6 - 2 + 2).\nAnswer: 72*o - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 214 + -215. Sort -18, 0.5, 3, h.\nAnswer: -18, h, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980493341?\nAnswer: 980493341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*m = 4*h + 282, 0 = 2*h - 3*m - 555. Differentiate 455 + k - k**4 + 40*k**2 - k - h with respect to k.\nAnswer: -4*k**3 + 80*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 304 + -77. Let f = s - 220. Which is the biggest value? (a) -3\/8 (b) -3 (c) f (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181011 - 181011 + 11183*s**2.\nAnswer: 11183*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 219\/5*c**3 - 24\/5 - 84\/5*c**4 + 132\/5*c + 12\/5*c**5 - 258\/5*c**2.\nAnswer: 3*(c - 2)**3*(2*c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z - 3. Let i be a(-6). Solve 3*p + 2*p - i = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 - -20596991004.\nAnswer: 20596990990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) -5 (c) 1 (d) -13706 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a factor of 2907900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 46.08047cm?\nAnswer: 0.4608047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/15*(3\/(-2))\/1. Let w = n - -53. Let b = w + 76. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -0.5. Let p = 1.4 - g. Let q = 983\/9 - 109. Which is the closest to q? (a) 2 (b) 1\/12 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 11:10 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 3*k + 8, 289*s - 286*s = 4*k + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 4, 1170, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/4253035 and 54\/7051.\nAnswer: 46783385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u + 108. Let p be b(0). What is the units digit of p\/2 + -12 + 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.83 + -0.029. Let r = 3.87 - d. Round r to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-15 + 11)) + -2 + -14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -2. Let i(y) be the third derivative of -5*y**4\/6 - 7*y**3\/6 - 6*y**2 - 62*y. What is the units digit of i(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -531, -1092, -1653?\nAnswer: -2214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 3770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2684, -2, 28 in decreasing order.\nAnswer: 28, 1, -2, -2684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3374 times 12?\nAnswer: -40488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000499437 to 7 decimal places.\nAnswer: -0.0000499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -206 - -209. Suppose -3*z + 5*b + 0 = 45, -4*z = 3*b + 60. Let s = -11 - z. Solve i*c - s*c = 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 5*g**4\/12 - 21*g. Let p(i) = 143*i**2 + 44. Let l(u) = -32*u**2 - 10. Let r(m) = 22*l(m) + 5*p(m). What is o(r(d))?\nAnswer: 605*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 162 - 69 = 0. Let d be (2 - -37)\/(1\/3). Let m = d + w. What is the greatest common divisor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8328327 to 3 decimal places.\nAnswer: 1.833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 q when three letters picked without replacement from {q: 2, f: 1, z: 4, s: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1095.6 - -319.4. Let n = 1402.53 - v. Let s = n + 12. What is s rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*t**2 + 836014*t + 39891315 wrt t?\nAnswer: 26*t + 836014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*w + 5 = 118*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 24. Does 7 divide m(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 576\/7 + -81. Let h = -1 + m. Is h <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1145 + -1135. Let w(t) = -5*t + 4. What is the remainder when w(-3) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**6\/75 - g**5\/15 - 2*g**4\/15 - 2*g**3\/15 + 4*g**2. Factor z(m).\nAnswer: -4*(m + 1)**2*(2*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2068548*d**2*q**3 + 2*d**2*q**2 + 556261*d**2*q - 2*d*q**2 wrt q?\nAnswer: 12411288*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -357 (c) 23\/7 (d) -0.1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 925, 4014, 9149, 16330, 25557?\n\"Answer: 1023*n**2 + 20*n - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**4\/p*p*p*p)\/(p\/p**(-1\/4))*p*p**(-3)*p*p*(p\/p**3)\/p*p)\/(((p**(-2\/31)*p)\/(p**0\/p))\/(p\/p**(-2))**(-1\/7)) assuming p is positive.\nAnswer: p**(335\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*n**2 + 66*n**2 + 58*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 6\/5, 1\/6 in descending order.\nAnswer: 5, 6\/5, 1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**5\/20 + 13*x**4\/8 + 25*x**2\/2 - x - 15. Let k(d) be the first derivative of u(d). Let k(j) = 0. Calculate j.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3376624 is divided by 264.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 246 + -113. Suppose 0 = -w*l + 114*l + 1995. What is the remainder when l is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -969*a**2*q**3 - 214*a**2 - 1915*a*q**3 - 3149*a*q**2 wrt q?\nAnswer: -5814*a**2 - 11490*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.032\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**4 - x**3 + x**2 - 1. Let m(f) = 2*f**4 - 6*f**3 + 6*f**2 + 191. Let s(c) = -m(c) + 6*q(c). What is the first derivative of s(d) wrt d?\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -71 + 245 + 428 - 480*q wrt q.\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f = 5*k + 25, 4 = 4*k. Let x be (-12)\/8*(-4)\/f. Let y be -1 - (x\/1)\/3. Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*sqrt(128)*-1 - (sqrt(128) + -1 + -1 + sqrt(128) + sqrt(128) + sqrt(128)))**2.\nAnswer: -224*sqrt(2) + 6277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*r - 196*r = h - 13, 0 = -3*r + 6*h - 78 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - h - 8, 0*a - 3*h = 5*a. Suppose -29*z + 5*z + 192 = 0. What is the remainder when z\/64 + 63\/8 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence non when three letters picked without replacement from {n: 2, o: 1, p: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 416992 divided by 314?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**3 - 2*i + 26. Let x be k(4). Suppose 2*u - x = 2*g + 270, 4*u = -5*g + 1097. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**4\/12 - 11*x**3\/6 + 37*x**2 + 8112*x. Determine i(-15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**4 + 1863*y**3 - 174094*y**2 + 103044*y + 69192 = 0?\nAnswer: -2\/5, 1, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24178 + -10977. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6503 + -31197.99\nAnswer: -37700.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 1654 - 1653.946611. What is i rounded to 3 decimal places?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -12*o**3 - 10*o**2 - o - 9. What is the tens digit of l(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**6\/24 + f**3\/2 - 3*f**2. What is the derivative of r(b) wrt b?\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -449 + 702. Let c = -253 + l. Is 107 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 times -81?\nAnswer: 15.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -514 (base 15) in base 11?\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 9:33 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + d = 4, 0 = 5*k - 2*k + d - 14. Suppose 2*o - 10 = 0, -9 = -2*m + 6*m - k*o. Solve 0 = 3*r + 11 + m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(3) - (sqrt(3) + -2)) - sqrt(3)) + 4 + sqrt(84)\/sqrt(7))**2 + (sqrt(30)\/(sqrt(640)*2) + 2)**2.\nAnswer: 33*sqrt(3)\/4 + 5123\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 878 divide 960029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 10. Let g = -7 + k. Suppose 3*t = -4*n + 220, -g*t + 4*t - 5*n + 88 = 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4*12\/96).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 41 - 3066.8\nAnswer: -3025.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.138? (a) 4 (b) 47 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57523 is divided by 176.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g. Let r(o) = -7*o**2 + 1. Determine c(r(l)).\nAnswer: -28*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n**2 + 3. Suppose 0*d + 4*d = -4. Let p(h) = -2*h**2. Let m(x) = x**2. Let g(q) = d*p(q) - 3*m(q). What is g(b(y))?\nAnswer: -49*y**4 - 42*y**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 3. Let r(o) = -35*o**2 + 20*o - 18 + 35 + 13. Let f(q) = r(q) - 10*s(q). What is the second derivative of f(t) wrt t?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 19. What is the nearest to 1\/2 in -4\/7, 6, z?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -3. Suppose o = -w - 4*w - 5. What is the tens digit of w + (-3)\/(-3) - -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 1095*x**2 - 88908*x + 173460.\nAnswer: -3*(x - 245)*(x - 118)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1129 divide 7248180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 791132 or 791074?\nAnswer: 791132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2. Let f(n) = n**2 + n + 2. Let d be f(p). Suppose 0 = 2*v + t + 3*t - d, 3*v = 3*t - 6. Sort v, 4, 2 in decreasing order.\nAnswer: 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -25*x**3 + 32*x**2 - 17*x - 4. Suppose -32 + 38 = -3*l. Let b(r) = 8*r**3 - 11*r**2 + 6*r + 1. Let g(u) = l*h(u) - 7*b(u). Factor g(m).\nAnswer: -(m - 1)**2*(6*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8734 divided by -2\nAnswer: 4367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 120*y - 90 = -117*y, -5*y + 3 = -n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 3971935.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/4 and 83\/450.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 3:25 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 3*b**2 - 2*b**2 + (-3 + 4 + 1)*(2 - 2 - 3*b**2))*(3 - 2 + 1)*(-3*b - b + 0*b).\nAnswer: 56*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 4*s - 9*s = q + 367, -24*s - 1288 = -4*q for s.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*w + 20 - 95 = 127*w - 4*a, 375 = 15*w + 8*a for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184566737, -184566736, -184566735?\nAnswer: -184566734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -922, -1878, -2872, -3904, -4974, -6082, -7228?\nAnswer: -8412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30427 divided by 11.\nAnswer: 30427\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 6 - 2 - 2*a + 20.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 1\/13, 33, -11?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/(-10) - 5)*(-2)\/(-28)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.08 - 0.08. Let g = -0.9 + 1. Put i, 2, g in decreasing order.\nAnswer: i, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -145*u. Let l(t) = -2*t**2 + 44*t - 197. What is m(l(h))?\nAnswer: 290*h**2 - 6380*h + 28565","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2 + 2*g)*(2*g - 3*g + 9*g)*(g**2 + 4*g**2 - 3*g**2).\nAnswer: 32*g**4 - 32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9, -1, 11729 in decreasing order.\nAnswer: 11729, 9, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/10)\/j**(-20) assuming j is positive.\nAnswer: j**(201\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4055?\nAnswer: 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 107 and 0.216.\nAnswer: 107.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2 - 161\/(-46). Solve 4 - v = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63653, -63661, -63669, -63677, -63685, -63693?\nAnswer: -63701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 61885016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*i**5 - i**4 + 691632*i**2 - 552*i + 14687 wrt i.\nAnswer: 280*i**3 - 12*i**2 + 1383264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46827?\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 6.6, -2\/5 in ascending order.\nAnswer: -2\/5, 2\/9, 6.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -5\/67 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4915 - 0.28666. Round x to three dps.\nAnswer: 0.205","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -486 divided by 243?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s. Let z be 210\/36 + 2\/12. Let w(l) = 5*l - z*l + 0 + 0. Determine u(w(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -326 - -671. What is the hundreds digit of (-1)\/(-5 - (-1722)\/n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 16386?\nAnswer: -16385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 8:17 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((1 - 0) + -2)\/((-3)\/24). Solve -4*n + p = -0*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 43053*i - 1243. Let z(j) = -104*j + 3. Let s be -3 + (-508933)\/205 + (-4)\/10. Let v(u) = s*z(u) - 6*p(u). Let m(q) = -2*q. What is m(v(o))?\nAnswer: -452*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 82383 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32109, 66868, 101627, 136386, 171145?\nAnswer: 205904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 10*l - 10. Let b be m(-8). Let h(z) = -z**3 + 8*z**2 + 5*z - 4. What is the units digit of h(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*10\/((-300)\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -217648866667\/90305 + 2410153. Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(3 - 4))\/(-1). Let t(u) = u - 4*u - 3*u + 0 + q. List the prime factors of t(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.677, -1\/9, -35, -0.3, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 3 + 4)*(2*i + 3*i - 4*i) + 3*i - 3*i - 2*i)*(0 + 0 + 1)*(0*i - 4*i + 5*i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -17*r**2 - 564*r - 6. Let v(a) = 5*a**2 + 187*a + 2. Give 4*c(j) + 13*v(j).\nAnswer: -3*j**2 + 175*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1800, 7529, 17068, 30411, 47552, 68485, 93204, 121703?\nAnswer: 153976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 111\/4. Let g = 23477\/6 + -3913. Let k = 29 + -53. What is the nearest to 0 in j, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(11) + -2 + (-1 + sqrt(11))*3.\nAnswer: -8 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1403 and 31556?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788459 is divided by 156?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -4 - 21 - (-42 - -4).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -3, -7, -25, -63, -127, -223, -357?\n\"Answer: -p**3 + 2*p**2 + 5*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r + 2*r + 6 - 2*r - 2*r. Let g be q(-5). Calculate the highest common divisor of 2 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557546760 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 380700 divided by -2538.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/(-9) + 3\/(-9). Suppose g = -r + 7. Solve 2*q = -0*q + r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138960585?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6\/23, -3\/4, 2290?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**14*d**13)\/(d**10\/(d**(-1)\/d)) assuming d is positive.\nAnswer: d**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2048 by 604.\nAnswer: 512\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/9 + 1 + 17\/(-3). Let u = -1135\/24 + 143\/3. What is the closest to 0.06 in h, -1\/6, u?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.1304 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4144 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 1668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/16841 and 9\/364378.\nAnswer: 4008158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 - 91. Let f = r + 18. Solve -5*o = -5*g, -f + 0 = o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3 = k, 79*k - 84*k + 31 = -2*y. Solve -m + y = 0, -3*a + 4*a = 3*m - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5630 + 7887. What are the prime factors of w?\nAnswer: 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 15*a**2 + 15*a + 11. Let c be (-6)\/(-4) + 198\/44. Let m(s) = s**2 - 1. Let z(l) = l**2 + 7*l + 11. Let t(o) = 6*m(o) + z(o). Give c*y(x) - 13*t(x).\nAnswer: -x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 851*l - 230*l - 16146 = 0 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*n - 0. Suppose n*k - 15 = 1. Solve 0 = -2*h - 2*h - k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -5*d**5\/12 + d**4\/12 - 11*d**3\/2 + 9246*d**2. Let l(s) = 2*s. Give m(l(b)).\nAnswer: -100*b**2 + 4*b - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - a. Suppose 0 = b - 3*b - 2*c + 6, a = 2*b - c - 3. Solve o = b*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 + 1131 = 8*s. Let z be (-36)\/100*-5*100\/6. What is the highest common divisor of s and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5767245 by -31515.\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 230\/(-55) + (-6)\/(-33)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 486 and 29179926.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c62 - -2?\nAnswer: 3c64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/15)\/(-4 + (-54)\/(-15)). Solve -17 = l*v - j, -9*v + 4*v = 3*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5 - 0, -27 = -4*p + 3*o. What is the derivative of -g + 2*g + g - p wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 55 = 8*o. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*x + 117. What is the smallest common multiple of x and 27?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 86, 39, 3\/2920?\nAnswer: 3\/2920","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61113.\nAnswer: 3, 13, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -b31b4 (base 12) in base 14?\nAnswer: -6118c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -r + 66, 5*g - 3*r = -0*g - 164. Let w = g - -86. What is the units digit of 4\/((-48)\/w)*9\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.01987 + -0.01987. What is the second smallest value in -6, i, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + 3*f**2 + 378 - f + 4*f - 311 - 6*f in the form m + o*f**2 + u*f and give m.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3543.329 litres in millilitres?\nAnswer: 3543329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:04 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1410a14 (base 13) to base 2.\nAnswer: 11000001100011001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1063*s**2 + 483*s**2 + 7*s + 3*s + 246*s**2 + 1928*s**2 - 9*s.\nAnswer: 3720*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -125*d - 75. Let j(g) = -87*g - 52. Give -8*j(t) + 5*p(t).\nAnswer: 71*t + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-3)\/(-48) - 158\/(-32))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-2 - 1 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 336.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20634 times -5?\nAnswer: 103170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxhh. Give prob of sequence hxhh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -10. Suppose 0 = i*y, -2*k + 68 = 2*k - 4*y. Solve 0*m - m = 5*p - k, -m - 2*p + 8 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2969 and -87763247864?\nAnswer: 87763250833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = 3*j. Let d be j - (-3 + 2 + 0). Solve 2*b + 5*a = 22, d = -b + 3*a - 3 - 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132800 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 59*h**2 + 1299*h + 5655. Calculate t(-16).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bscb when four letters picked without replacement from {s: 2, b: 11, c: 1}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 382\/5 + -3*(-8)\/(-60). Suppose -77*d = -h*d - 260. What are the prime factors of d?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10773 divided by -57?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/5 - -21\/20. Let q be (0 - 15)*1\/3. Let z = -2.1 + 4.1. Which is the biggest value? (a) z (b) k (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obqu when four letters picked without replacement from uubwuquublllwbbouqb.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.189087 - -0.189. What is x rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -9*m + 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*p = 0. Let l = p - -5. Suppose -2*k + l*m = -5, k - m = -k + 9. Solve -j - 12 = -k*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3201997 + 5012603. Let l = s - 1810576.99993. Let v = -29 + l. Round v to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**5 - 98284*w**4 + 294928*w**3 + 982864*w**2 - 2359104*w = 0.\nAnswer: -24574, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 64240990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95839*f**6 - 106*f**5 + 2*f**3 + 18104620*f**2 + 3*f - 1 wrt f?\nAnswer: 11500680*f**3 - 6360*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.56187 + -0.60187. Let l(d) = d - 5. Let o be l(7). Let k be 1\/(-7) + o - 2. What is the third smallest value in i, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*(-5 + (sqrt(99) - (sqrt(99) + (sqrt(99) - (1 + 1 + sqrt(99)))))**2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219051102.\nAnswer: 2, 3, 397, 91961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 279726012 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001000100011000110 - 1110111?\nAnswer: -111001000100100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*p*q - 3264*a**3*q**3 - p*q**3 + 9*p*q**2 + 4*p*q - 3*q**2 with respect to a.\nAnswer: 3*a**2*p*q - 9792*a**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24994?\nAnswer: 2, 12497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q\/q**(-1\/15)*q*q*q)**(1\/42) assuming q is positive.\nAnswer: q**(53\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + w. Let q(z) = -728*z**2 + 5*z. Give -q(f) + 3*t(f).\nAnswer: 725*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**2 + 81*u - 398. Let l be z(10). Solve -80*k = -76*k + l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 217589 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -6 - 9. Let r(l) = -l**3 + 2*l + 1. Determine r(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -4*m**6\/15 - m**5\/30 - m**4\/12 + 25*m**3\/2 + 63*m**2. Find the second derivative of i(v) wrt v.\nAnswer: -192*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b - 20 = 3*m, 0 = 3*m + 5*b - 25. Suppose -5*h - 19 + 79 = m. Suppose 3*j - 2*q - h = -q, -2*q - 4 = -j. Which is smaller: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123483?\nAnswer: 3, 41161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 a, and 1 v when three letters picked without replacement from {c: 2, a: 2, v: 1, z: 2, l: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6 = 2*w. Suppose -w*j + 18 = -5*k, 3*j - 4*k - 20 = -0*k. Let r be 6\/9*-3 + 3 - -3. Solve 0 = -2*c + c - j, 4*n + r*c = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424660143?\nAnswer: 3, 141553381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22.186 times -6926\nAnswer: 153660.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h - 16. What is the smallest common multiple of f(8) and 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2290 = -8074. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413 divided by -7380.\nAnswer: 413\/7380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l + 4 + 4 + 2*l**2 - 1 - 1 + 9. Calculate r(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 11*c**2 - 7*c + 5. Let r be f(-10). Let x = r - -38. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - -23. Suppose l*y - 35*y = -64. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/((-6)\/(-8)). Let t(h) = -3*h + 1. Let s(f) = f + 1. Let y(q) = -4. Let v(k) = 3*s(k) + y(k). Let x(b) = 6*t(b) + 7*v(b). Give x(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x**2 - 2*x. Let c(u) = -7*u**2. Calculate d(c(b)).\nAnswer: 343*b**4 + 14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 172.081 - 172. Let u = -3.081 + k. Which is the closest to 0.01? (a) -2\/3 (b) u (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 0 + 1\/3*y**4 + 1\/3*y**3 + 0*y**2 + 0*y = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17, -74, -237, -560, -1097, -1902, -3029, -4532?\n\"Answer: -9*x**3 + x**2 + 3*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127*v**3 + 290*v**3 + 3*v - 100*v**3 to the form o + f*v**2 + i*v**3 + g*v and give i.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 433070 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1384 - -3?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 1:41 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 27.\nAnswer: 16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2852 + 2848. Let o be (-3 + 6)\/(-3) - 119. Let q be (-8)\/o + 4\/(-10). What is the second biggest value in q, y, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 798?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -165 + -6427243?\nAnswer: -6427430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125417 is divided by 31340.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2740561 by 33.\nAnswer: -2740561\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 292830 and 32504130?\nAnswer: 32504130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 10*s - 7. Let u be o(11). Find the third derivative of -351 - u*c**2 + 3*c**2 + 59*c**4 + 25*c + 351 wrt c.\nAnswer: 1416*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g + 1. Let h be x(-1). Let i = 12 - h. What is the lowest common multiple of -1*(-1 + 2) + 11 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 5*g**2 + 5*g + 5. Let q be 1*2\/(-3)*1*-69. Let i = 52 - q. What are the prime factors of v(i)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 498.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35636.9984469 - 35637. What is l rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 2*c - 1. Let n be (4\/3)\/(-4) - 12\/(-9). Let i be w(n). Solve 0 = -m - i*m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86304 divided by 248?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, 0.9, -6, 0.0773, -0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2000619 and 8229.144.\nAnswer: -1992389.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -132*f**2 - 129*f**2 + 252*f**2 - f**5 + (-3*f**4 + 4*f**4 + f**4)*(-3*f + 8*f + 8*f).\nAnswer: 25*f**5 - 9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 28 - 40 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -135*q - 199. Calculate v(-7).\nAnswer: 746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0 = 3. Let n be 2\/(-5*(-2 + u)). Which is bigger: 6\/11 or n?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11134351 (base 7) to base 2.\nAnswer: -11101100000001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 148*o**2 + 16422*o + 65. Calculate h(222).\nAnswer: -1267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/35955563 and 15\/4?\nAnswer: 143822252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256 and 9888864?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(280)\/sqrt(250).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6944, 13870, 20776, 27662, 34528, 41374, 48200?\n\"Answer: -10*y**2 + 6956*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 7. Let g be (-6)\/(-3)*1\/(-3). What is the smallest value in n, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2620\/11 + -238. Let y = 0.073 + -4.073. Which is the nearest to 0? (a) g (b) -1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 10:54 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/12)\/(1\/(1\/(-3)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 31*i**2 - 60*i + 1025. Let l be w(32). Solve 501*o - 458*o = -l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54 and 0.00570742.\nAnswer: 0.30820068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -324*m + 339*m + 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 121\/(82764\/608) - (-91)\/9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + 2 + 11 + (1 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 3:00 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(272) + sqrt(272)*1 + sqrt(272) + sqrt(272)) + 2*(sqrt(272) + -2) + 2)**2.\nAnswer: -96*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.02*55389\nAnswer: -56496.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.09723ml to litres.\nAnswer: 0.00409723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 608847 or 608846?\nAnswer: 608846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 12\/37, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 6*b + 3 + 0.\nAnswer: -5*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u + 48*u - 558870 = 0. Suppose -3*w + 7315 = q, -4*q + 7781 + u = -4*w. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-4))\/1*68\/102. Solve q = 3*h - h - i, -3*h + 5*q = 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61512?\nAnswer: 2, 3, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + a875?\nAnswer: a875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - 15*s + 9. Let m be q(7). Suppose 0 = m*u + 5*j - 101, 5*u + 4*j - 102 = 3*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*z - 60. Let f = 12 - 4. What is the least common multiple of z and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 360, -153, 8 in decreasing order.\nAnswer: 360, 8, -3, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n**2 - 4*n + 6. Let k(i) = 19*i**2 - 9*i + 13. Let a(t) = 7*t + 46. Let b be a(-6). Let r be (2\/b)\/(9\/18) + -7. Determine r*k(s) + 13*o(s).\nAnswer: 3*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -12. Let s(y) = -6 + 10 + k + y. What is the units digit of s(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7486955*k**5 - 5034*k**2 - 209.\nAnswer: 449217300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-7\/2)\/l)\/(l\/(l*((l\/(l\/(l**(-1)\/l)))\/l)\/l*l)))**(-2\/69) assuming l is positive.\nAnswer: l**(5\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -1028*d**5 + 5124*d**4 - 6088*d**3 - 96*d**2 = 0.\nAnswer: -4\/257, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in 4, 0.2, -332.4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-1)\/1)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -15*f + 1. Give l(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 6:45 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36711144 a multiple of 2172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 53*f**5\/5 + f**3\/3 + 35*f**2\/2 + 56. Find the third derivative of k(g) wrt g.\nAnswer: 1272*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 274619 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*sqrt(605) + (1 + sqrt(605))**2 + 2 - ((sqrt(500) - (sqrt(500) + -1*sqrt(500)) - -4*-1*sqrt(5)) + -2)**2.\nAnswer: 57*sqrt(5) + 424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3\/2*u**3 + 0 + 0*u - 3\/4*u**4 - 3\/4*u**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56407, 56436, 56347, 56080, 55575, 54772?\nAnswer: 53611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.01, -4, -5, 11.\nAnswer: -5, -4, -0.3, -0.01, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161158589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 6*d - 21. Let k be q(10). Calculate the highest common divisor of 38 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8726695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/10 and 3\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003 (base 5) to base 13.\nAnswer: 9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23957786.\nAnswer: 2, 11978893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 - (2 + 6\/(-2)). Calculate the greatest common factor of 33 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -122559*y + 122090. Determine l(1).\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -8*k - 6. Solve 0 = -5*v - 31 + k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 264311460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13004 - -13006. Solve -b*y - u - 75 = -73, -3*y = -2*u + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 38*q + 1395 = 75*q for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3335 and 290.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 183 and 6162.\nAnswer: 375882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 44, 79, 128, 197, 292, 419, 584?\n\"Answer: x**3 + x**2 + 25*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 12*y**4 - 4*y**3 - 5*y + 2. Let l(t) = 11*t**4 - 3*t**3 - 4*t + 1. Let k(g) = 5*d(g) - 6*l(g). What is the second derivative of k(n) wrt n?\nAnswer: -72*n**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 35.84903 grams?\nAnswer: 35849.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - -3 - 4\/((-15)\/((-105)\/(-14))). What is the fourth smallest value in -758, c, 4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g - 9*g - 8*g - 3*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -30. Let y be (-10)\/3*144\/b. Solve -2*w = -6 + y, 5*m + 4*w = -30 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - a44a?\nAnswer: -a44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + h**2 + h. Let x be p(0). Let w(i) be the second derivative of -i**4\/12 + 7*i**2\/2 - 7*i. Give w(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**2 - 4*b**2 + b**2 + 0 + b**2 + 0 + (-2*b + 7*b - 3*b)*(-1 + 1 - 2*b) - 4*b**2 - b**2 + 4*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15098, -19116, -23134, -27152?\n\"Answer: -4018*p - 11080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 0.0588, -0.4?\nAnswer: 0.0588","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22, -52, -96, -160, -250, -372, -532?\n\"Answer: -p**3 - p**2 - 20*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-20))\/(z\/(z\/z**11*z)))\/(z\/(z**(6\/11)*z)*z\/(z**23*z)) assuming z is positive.\nAnswer: z**(391\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -7*s + 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 5)\/4*0. Which is the nearest to 0.1? (a) 2\/5 (b) r (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**3 - 32*i**2 + 10*i + 4?\nAnswer: -12*i - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*i + 20 + 14, w = -3*i + 3. Solve -2*p - 2*b - 2 = -w, -p + b = 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -70*x**2. Let p(c) = c. Calculate p(h(m)).\nAnswer: -70*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = -0*t. Let f be 4 - 4*(t + 16). Let l = -54 - f. Solve l*x = 3*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1126 - -1132. Let v(k) = 31*k**2 + k**3 - 12*k**2 + 8 - 5*k - 4*k**3. What are the prime factors of v(w)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19580 divided by -44\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -5\/9, 3, -0.3 in descending order.\nAnswer: 3, -0.3, -5\/9, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 203252 (b) 2\/5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210003 + 10143002?\nAnswer: 4432444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275081 to the power of 1\/2, to the nearest integer?\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from uuzzauazzzzz?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -136, -548, -1242, -2224, -3500, -5076, -6958?\n\"Answer: -j**3 - 135*j**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7\/2*s**4 - 10*s**2 + 4*s + 9*s**3 + 1\/2*s**5 + 0 = 0. What is s?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4751780*x**2 - 12399572*x.\nAnswer: 9503560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1566 + -720. Does 47 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177.2, -0.07, 3164 in decreasing order.\nAnswer: 3164, 177.2, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2691 - -13.3.\nAnswer: 12.0309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -24*z**3 + 1922*z**2 - 172*z + 1589. Determine g(80).\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -309521.8 take away 38070?\nAnswer: -347591.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 278 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 13*j - 7. Let l be v(-12). Suppose l*m + 6 = 36. What is the greatest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 14*i**3 - 4*i**2 - 4*i + 49. Let k(l) = 19*l**3 - 6*l**2 - 5*l + 49. What is -3*k(w) + 4*r(w)?\nAnswer: -w**3 + 2*w**2 - w + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**3 - n**2 - n - 1. What is the units digit of u(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-2 - sqrt(143))*-4 + (sqrt(143) + -3*sqrt(143))*-2)\/(1*sqrt(2816)*4).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (4 - (-1 - -11)) + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 14*n - 8. Let h = -50 - -44. Let y be u(h). Is (195\/30)\/(2\/y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4553 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35.7 - 35.2. Which is the smallest value? (a) 0 (b) -0.5 (c) -2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-9))\/((-90)\/27).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/5)\/((-1)\/25). Let j = m + 15. Suppose -4 = j*i - 14. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 1 - (-7 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1399, 2, -1, 0 in decreasing order.\nAnswer: 1399, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 - -64. Let j(t) = -t**2 + 14*t + 4. Let h be j(o). Suppose b + 3*d + 11 = -1, h*d = -16. Which is smaller: b or 7\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 2*p + 8. Let l(s) = s**3 - 4*s**2 + s - 1. Let n be l(p). Find the second derivative of -w**n + 2*w - 5*w + 2*w wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -70*g. Let q(x) be the third derivative of 7*x**4\/24 - 980*x**2. What is -2*c(l) - 21*q(l)?\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 400753426 and 400753426 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 342, 398, 496, 636?\n\"Answer: 21*m**2 - 7*m + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - 1*(-1 + -32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 a factor of 6352278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**7\/210 + i**4\/24 + 17*i**3\/2 + 7*i**2\/2 - 66*i. Let r(s) be the first derivative of g(s). Differentiate r(n) wrt n.\nAnswer: -4*n**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 1840893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 6 - 282\/26?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 45 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490\/1960 - (1363\/(-4) - -1) is divided by 122.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.720085 rounded to 2 decimal places?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**4\/8 + g**3 + 2*g**2. Suppose 26*t = 8*t. Let u(j) = -905 + t*j + 0*j - j + 905. Calculate l(u(o)).\nAnswer: 3*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 0 (b) -7141 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*o = 117, -4*s = -2*o - 147 + 57. Suppose 0 = 6*j - j + 35, 0 = 2*n + 2*j - 16. What is the least common multiple of n and s?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1004 - -0.4.\nAnswer: -1003.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.038 or -20\/151?\nAnswer: -20\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 2, 9 in decreasing order.\nAnswer: 9, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 4 + 1)*1. Solve 4*y = p - 3, -5*y + 4 = -f*p + 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybbs when four letters picked without replacement from cyssbamcsmabcm?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*d + 3*t - 206, -t + 182 = 3*d. Let f be 4\/d*6 - 36\/(-10). Solve 0 = 2*r - f*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z = 34*z + 10. Let s(h) = h**2 + 4*h + 9. Let l be s(z). What is the greatest common factor of l and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (68\/119)\/((-2364)\/1183 - -2) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 7*i - 26. What is a(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10\/5*39\/442\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeseeeeeesese. What is prob of picking 1 s and 2 e?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 7 + 4. Solve -2*r - 21 = 5*w, -w + 0*r = r + l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 5.05. Let z = c + 0.4. Round z to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19920259*s**6 - 88120*s**2 + 54*s + 1?\nAnswer: -2390431080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2 - 6*v - 9. Suppose 189 = -70*s + 43*s. Let p(i) = -6*i**2 + 7*i + 10. Suppose -4*b - 30 = b. Calculate b*p(q) + s*l(q).\nAnswer: q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -64039+-0.1613\nAnswer: -64039.1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/22734 and 41\/12630.\nAnswer: 113670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 10*h**2 + 3*h + 7. Let m be t(-10). Let p = -8 - m. Let l = -16 - -74. What is the remainder when l is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 8*n**2 + 5. Let f be l(-8). Suppose 2*v = -d + 4*d + 37, 0 = f*d - 5. Calculate the remainder when 39 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (-18)\/(-20) + 4. Let b = 2\/5 - m. Sort -0.02, b, 3 in descending order.\nAnswer: 3, -0.02, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5893\/41, 24, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4600.3 - -4641. Which is smaller: 1\/2 or q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwwxdwb. Give prob of picking 2 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(34)\/sqrt(162).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-17 + 0 - (38 + -33))) + 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/10*(-2)\/6. Which is bigger: w or 3\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 7*w - 3. Let s be y(8). Suppose -t - 1 = 3*f + 7, -s*f + 16 = -2*t. Let x be (5\/10)\/(t\/(-6)). What is the closest to 0.1 in x, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 6. What is the closest to 0 in -0.03, t, 2\/7?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -36) + (-1765 - -1798).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (41\/(-492))\/(5\/(-36)). Let t(m) be the third derivative of 0*m**4 + 0*m - 20*m**2 - z*m**5 - 1\/2*m**3 + 0. What is the derivative of t(g) wrt g?\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 - 5*f**3 + 2*f**3 + 4*f**3 - 2*f**3 + 3*f**3 + (-f**2 - 2*f + 2*f)*(2*f + 2*f - 3*f) - 1 + 1 - 2*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246316 is divided by 41049.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/10 - 8\/10. Sort 1, 5, w in descending order.\nAnswer: 5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.086, 2, -0.259, -3 in increasing order.\nAnswer: -3, -0.5, -0.259, -0.086, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 102. What is the remainder when d is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4012 minus 28?\nAnswer: -4040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 420032 - 1111?\nAnswer: 413421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 464 = 3*c - 1898, 4*c = -4*a + 1912. Let n = c - 389. What is the greatest common divisor of n and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 > -288705\/15332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(13) + (sqrt(13) - (sqrt(13) + 0 + 4)) + -3 + (6*sqrt(832)*3)**2 + 5.\nAnswer: sqrt(13) + 269570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + 0.02. Let p = u - 3.05. Which is the third smallest value? (a) p (b) 4\/7 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-18)\/3)\/(-1). Let f be (3\/(-12))\/(1\/b). Let x(a) = a**3 - 8*a**2 - 7*a - 19. Let p be x(9). What is the smallest value in -4\/3, p, f?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -4\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*u**4*x**2 + 2*u**4*x - 6*u**3 + 4262*u**2*x - 5*x**2 wrt u?\nAnswer: -552*u*x**2 + 48*u*x - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -16*q**2 + 2*q - 10. Let x be i(-5). Let o(r) = -5*r**2 - r - 11. Let z be o(6). Let c = z - x. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.09 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*h - 4*h - 8*h - 9*h)*(-1 - 5 + 0).\nAnswer: 246*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 58 + 182. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 4. Let b(f) = -13*f + c*f + f + 0*f. Let z(y) be the third derivative of y**5\/20 + y**2. What is b(z(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/6 - -50) + 2. Suppose 3*y - 30 = i. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10464 + -6369. Calculate the smallest common multiple of 56 and r.\nAnswer: 32760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30275063.\nAnswer: 7, 13, 443, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19b + -140193?\nAnswer: -140372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 1, u: 1, q: 2, m: 2, t: 2}. What is prob of sequence uv?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4116 (base 13) to base 11\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*z - 11 = 3*r, -4*r = -2*z + 12. Let j be 1\/(26\/2) + 0. Which is smaller: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -3 - (-7 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 611562*x - 31167339987.\nAnswer: -3*(x + 101927)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -990240374028*x**2 - 3447156*x - 3 = 0.\nAnswer: -1\/574526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.4 (b) 0.08 (c) 4 (d) -4.3 (e) -4\/5 (f) 0.4 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2. Let i(y) = -y**2 - y + 1. Let s(w) = 4*w**2 - 4*w + 4. Let t(d) = 4*i(d) - s(d). What is a(t(v))?\nAnswer: -64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4569 and -170?\nAnswer: -247.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 5*h + 3. Let o be i(5). Suppose 0 = u - v - 17, 2*v - 61 = -o*u + 3*v. What is the remainder when 85 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 867\/25 - 32437\/900. Let n = -3148\/9 - -12841\/36. Calculate the common denominator of n and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2)*(-20)\/(-30). Let l = 2 + 1. Suppose -6*u + l*u - 3 = 0. Is u at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lml when three letters picked without replacement from {l: 5, j: 5, m: 4, x: 4, t: 1}?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**4\/12 + d**3 - 3*d. Let j be h(5). Solve 0 = j*t - 3*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 412*u**2 + 10812*u + 10404.\nAnswer: 4*(u + 1)*(u + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -230 + 295. Suppose 1040 = 18*a - 8*a. What is the greatest common factor of t and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*a + 9*a - 10*a as u + l*a and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27529 + 31489. Is p a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 9 - 4*6\/((-96)\/22312)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7289? (a) -9 (b) -4 (c) 6 (d) 2\/3 (e) 7 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13380)\/20400 + -1*(-1)\/5. Let i = m + -3\/68. Which is the closest to 0.2? (a) -1\/10 (b) i (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-201)\/(-68))\/(51\/(-68))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 190682, 381533, 572384?\n\"Answer: 190851*n - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26306 = -4*p - 3*x - 26322, -4*p = -x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 323*n**2 - 108*n**2 - 27*n**2 - 1 + 263*n**2 + 152*n**2 to g*n + a*n**2 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -206 - -28. Let v be (-1)\/(s\/60 - -3). Let h = v - -45. Solve -3*g - 3*o = h, -2 = 4*o - 2*o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -25*g**7\/14 - 13*g**6\/3 + 31*g**5\/2 + 10*g**4\/3 - 115*g**3\/6 - 15*g**2 - 11*g. Let j(p) = 0. What is p?\nAnswer: -3, -2\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 2*g - 5*g)*(-4 + 2*g + 4 - 5 + 2*g + 5 + (-3 - 2 + 4)*(g + 2*g - 2*g) + 2*g + 0*g + 4*g) to the form k*g**2 + o + t*g and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 - -65. Let x be (-6)\/b*(-500)\/(-15). Calculate the greatest common factor of 125 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 784 = 289*p + 134*p - 1331 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/(-42) - 1480\/(-60).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -24*f**3 - 34*f**2 - 34*f + 22. Let h(o) = 2*o**3 + 3*o**2 + 3*o - 2. Let g(n) = -23*h(n) - 2*w(n). Give g(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -46081 and -1.\nAnswer: 46081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3190 + 3185. Sort m, 9, -0.6 in ascending order.\nAnswer: m, -0.6, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 16204842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**3 + 3*g**2 + 9*g + 5. Let v(o) = 3*o**3 - 2*o**2 - 4*o - 2. Let u(t) = -2*n(t) - 5*v(t). What is the remainder when 22 is divided by u(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 18 = n. Let h be (-3)\/n + (-39)\/(-6). Suppose 13*a = h*a + 290. Calculate the highest common factor of a and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2285\/(-35) + 6\/21. Let x = -62 - l. What is the tens digit of (x\/(-2) + 2)*132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/(-45))\/((-4)\/10). Let r = -9 + 15. What is the units digit of g\/r - 88\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 9:37 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 smaller than -566\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6)*18\/(-116). Let c = -1137\/58 - x. Let l = -4\/2279 + -198257\/9116. Find the common denominator of c and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000038041 rounded to seven dps?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/((-200)\/25)*(-6)\/27.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2497843?\nAnswer: 41, 60923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11196.492 months in years?\nAnswer: 933.041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32230.\nAnswer: 2, 5, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Suppose m = 3*h - 4 - 32. Suppose -5*a - 15 = -105. Calculate the highest common divisor of h and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/114)\/((-46)\/368).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 461 - 449. Suppose 5*s - 129 = -0*d + 3*d, 0 = -4*d - k. What is the remainder when 61 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 76075, -4, 3, -21, 4 in descending order.\nAnswer: 76075, 4, 3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Let b(q) be the first derivative of -q**4\/4 - q**3\/3 + 23*q - 32. Is b(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 + 532393?\nAnswer: 532406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from zgozgomvzmmzgomgzm.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 5 (c) 49 (d) -104 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4464 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63612164 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**6\/960 - 11*h**5\/320 + 9*h**4\/32 - 7*h**3\/2 + 2*h**2 + h + 111. Let y(k) be the second derivative of u(k). Factor y(x).\nAnswer: 3*(x - 9)*(x - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/16? (a) -0.2 (b) -1 (c) -4 (d) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 334819, 4, 3, 0 in increasing order.\nAnswer: 0, 3, 4, 334819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -717404 or -717405?\nAnswer: -717404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**5\/20 - 5*w**4\/12 + w**3\/6 - w**2\/2 + w. Let u be s(5). Is 1\/u + (-195)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -29*y + 28*y, 0 = -g - 5*y - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4617 is divided by 296?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - 0.4. Let i(h) = 12*h + 224. Let m be i(-18). What is the second smallest value in -1, b, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*k**4 - 40*k**2 - 26*k**4 - 28*k**3 + 10*k**3 + 2436 - 3*k**2 + 258 with respect to k.\nAnswer: -12*k**3 - 54*k**2 - 86*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16545, -33081, -49609, -66129, -82641?\n\"Answer: 4*t**2 - 16548*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616 is divided by 253.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.4 (c) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114 + -117. Is -8 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13704, -13652, -13566, -13446, -13292?\nAnswer: -13104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.06, 0.3, 4\/3, 1\/4, 3\/34?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222 - 217. Let y(z) = b*z**2 + 10*z**2 - 21*z**2 + 8*z**2. Let c(m) = -m**2 + 30*m. Calculate c(y(p)).\nAnswer: -4*p**4 + 60*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 2, 0.0581, 0, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8187382 is divided by 33?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*p - 353 + 1508, -4*p + 1560 = 4*v. Let s = 44245 - 44236. What is the highest common factor of s and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 151.2 - 151. Sort 6, q, -5 in increasing order.\nAnswer: -5, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-365)\/(-55) + (-8 - (-92)\/11). What is the highest common divisor of g and 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842 is divided by 312?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m + 50. Calculate k(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5 - 3 + 119*q + 260*q - 5.\nAnswer: 379*q - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighteen fifths of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-10))\/(-66*113\/(-37290)))\/(4\/(-6))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 9:12 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 57151, 56794, 56437, 56080, 55723, 55366?\n\"Answer: -357*v + 57508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -117, 4, -157093 in ascending order.\nAnswer: -157093, -117, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22285, -22287, -22289, -22291?\n\"Answer: -2*f - 22283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lffkozzlfoollllz. What is prob of picking 1 l, 1 f, and 1 o?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9c (base 15) to base 14\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 36 + 51 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172604 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18081 + 18167. What is the greatest common factor of b and 5461?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 131418 and 4263.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.028 * -0.0027.\nAnswer: 0.0000756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388256 is divided by 2132?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -951 by 951.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 3 - 3)*(-3931*v + 1416*v**2 + 3931*v) - v**2 + v**2 + 2*v**4.\nAnswer: -4246*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7257 or 15?\nAnswer: -7257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 14*s + 5. Let c be w(11). Let k = -14 + c. Calculate the remainder when 91 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + 2*w - 2. Let t(i) = 2 - 3 + i - i + i + i**2. Let p(m) = m**3 - 5*m**2 - 17*m + 10. Let z be p(7). Calculate z*t(u) + 6*b(u).\nAnswer: u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 169102 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569*b**2 - 577*b**2 + 1151*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103 - -104. Suppose -2*w = -w - 3. Suppose n + 0*n - w = 0. Sort n, x, -2 in ascending order.\nAnswer: -2, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 + 2. Let a = t + 0.3. Let l = a + -0.2. What is the closest to -0.2 in -3\/8, -5, l?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -7*g + 4*m - 2293, 2*g = 5*m + 937. List the prime factors of g.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -24*x**2 + 4. Let k(d) = -11*d - 123. Let b(u) = -22*u - 205. Let c(a) = -3*b(a) + 5*k(a). Calculate t(c(i)).\nAnswer: -2904*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c = 5218172 + 2505436. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-3))\/2 - ((-418180)\/(-42))\/(-206)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -q, 4*i - 2 = -2*q + 2. Suppose 5*m - 5 = v, 0 = -v + 3*m - m - 2. Which is the nearest to v? (a) 2 (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (4 - 9 - 6) - (-52 + 54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 24951*y + 3071*y + 14185*y in the form o + u*y and give u.\nAnswer: 42207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 103?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -4. Let c be (-3)\/18*0 + 9. Suppose c*d + 45 = 18*d. Solve -3*i + a*k = 14, 2*i - 42 + 13 = -d*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 43\/(-21))\/(330\/(-1705) - 730\/(-2170)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t - 2*t)*(-16*t**2 + 16*t**2 - 7*t**4).\nAnswer: 14*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 437381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5398 + 25368 = 702*t - 15130 for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1622381ml in litres?\nAnswer: 0.0001622381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -320.02 - -317. Let n = d + 0.02. What is the nearest to -2 in 1\/7, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*b**2 + 8*b**2 + 17*b**2 + 13*b**2.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 30. Suppose 8*z = o*z. Solve z = -4*k + 7 + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9*(-16)\/(-72))\/((16\/3)\/8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2655, 12459, 28797, 51669, 81075, 117015?\nAnswer: 159489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -96*f - 10. Let w be k(-1). Suppose 79*o + 315 = w*o. What is the highest common factor of o and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*h*u**6 + 3*h*u**3 + 160529463*h + 2160432*u**3 - u**2 wrt u?\nAnswer: -960*h*u**3 + 18*h + 12962592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tutttuusttvusuuut.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -14. Suppose 5*x - r*x = 0. Solve x = -u - 3 - 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 64*f + 313. Calculate x(59).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/5 (b) 5 (c) 3.5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 283689799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 353 - 60. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16996360 and 55?\nAnswer: 186959960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-4)\/40)\/(1\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 63996905?\nAnswer: 767962860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from {w: 2, h: 1, s: 1, l: 1, n: 1, v: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322808427.\nAnswer: 3, 17, 23, 91733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from nxnxxxnngxx.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -451506.14?\nAnswer: -451508.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.075 - 5.925. What is the nearest to i in -3, 3, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*sqrt(35)\/(3*sqrt(343)))*2.\nAnswer: -6 - 2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*n + 85 = 0, -4*k + 3*n + n + 116 = 0. Suppose k = -5*g + 86. Calculate the remainder when 41 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104673118.\nAnswer: 2, 23, 24014633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(((-3948)\/112)\/(-47))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 9:54 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**2 + 4*s. Let v(a) = 14*a**2 + 1415*a - 3. Give -4*u(g) + v(g).\nAnswer: -2*g**2 + 1399*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4372796ng to kilograms.\nAnswer: 0.0000000000004372796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565651 is divided by 240.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 20833, 10.6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241173344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 102208438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5086 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -26, -38, -48, -56?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6239, 6321, 6537, 6953, 7635, 8649, 10061, 11937?\n\"Answer: 11*m**3 + m**2 + 2*m + 6225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001c (base 16) to base 10.\nAnswer: 131100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177136.71 months to years.\nAnswer: 14761.3925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8696 or -8681?\nAnswer: -8681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.46 and -47857?\nAnswer: 22014.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.405282 milligrams in nanograms?\nAnswer: 405282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 600, -522, -3582, -9552, -19404, -34110, -54642?\n\"Answer: -162*m**3 + 3*m**2 + 3*m + 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108129 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 6*y**2 - 2*y**2)*(2*y - 5*y - 7*y)*(0 + 1 - 2).\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1730421 is divided by 10551?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 2.6542.\nAnswer: -1.3271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/324)\/((-2)\/72).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10226365 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 13*l + l + 7 - 8*l - 8*l. Give j(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q. Suppose q = -4*h + 4 + 16. Suppose -5*g - 3*d = 2*d, -h*d = -2*g + 14. What is the highest common factor of 8 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -11\/24*p**4 + 0 - 5\/6*p**3 + 0*p - 2*p**2. Let y be t(7). Round y to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 45*c + 3189. Give q(-71).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 2, -1692, 3133 in decreasing order.\nAnswer: 3133, 4, 2, -3, -1692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1241 (base 12) in base 14?\nAnswer: -a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + p - 1. Suppose -2*y = -6*o + 3*o - 20, 5*y - 76 = o. What is the remainder when b(5) is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30484 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: What is the remainder when 1645 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 - 0.21. Let v = 1\/5 - -2\/15. Suppose 0*d - 4*d + 15 = 3*j, 2*d + 3*j = 9. Which is the biggest value? (a) v (b) p (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuz when three letters picked without replacement from {u: 2, z: 4, n: 10}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**2 - 2*k**2 + 0*k**2)*(19 + 22 - 2).\nAnswer: 156*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113 - 44. Let s = d + -16. Find the third derivative of s + 7*g**2 - 53 - 4*g**3 wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6916471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7876, 4 in descending order.\nAnswer: 7876, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4883, -19466, -43773, -77804?\n\"Answer: -4862*z**2 + 3*z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 = -n + 5, b + 4*n + 14 = 0. Calculate the highest common factor of 4 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.2420671km?\nAnswer: 242067100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m - 40. Let x be u(-11). Suppose -3*h - 1757 = -x*k, k - h = 5*k - 1777. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336 - 9*b + 663 + 344 - 1338.\nAnswer: -9*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 - 7 = 0. Let z be -4*(f + 26\/8). Let d(w) = -6*w - 6. Is d(z) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + (-3)\/2)*(-18)\/15. Suppose 4*o + 0*z - z - 195 = 0, 0 = -5*o + h*z + 249. Is o smaller than 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001098061 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37388 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 16*j - 1661 = 0. Let n = -129 + j. Let f = -10 + 18. Calculate the lowest common multiple of f and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.264341 rounded to one dp?\nAnswer: 150.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 1, w: 1, m: 1, h: 1}. What is prob of picking 1 w and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3 - b**2 + 1 + 2. Let h(d) = -2*d**2. Calculate h(i(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2027, 2149, 2271, 2393?\n\"Answer: 122*d + 1905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55570 is divided by 1279.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/2 - 351\/90. Let a(s) be the second derivative of 0*s**2 + 0*s**3 + k*s**5 + 1\/3*s**4 - 2*s + 0. Factor a(g).\nAnswer: 2*g**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c*c*c*c**7*c*c)))\/(c**(-1)\/c))**4*c\/(c*((c*c**(-1))\/c*c)\/c*c)*c**(-7)\/c*(c**(1\/3))**(-35) assuming c is positive.\nAnswer: c**(97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 7*c**2 - 2. Let h be z(7). Is -8\/3 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssbswwws. Give prob of sequence ss.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 divided by 2?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341081*r + 341084*r + 3*x + 42 = 0, 0 = -r + 4*x + 11 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23795 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4621826 to 1 decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 109 - 51 + 14*a - 13*a in the form c + m*a and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-3\/4))\/f)\/f**(-1\/6))\/(f**(2\/3)\/f*((f**(3\/4)\/f*f)\/f)\/f) assuming f is positive.\nAnswer: f**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -613ab55?\nAnswer: 613ab56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 + -133. Suppose m = 5*g + 134 - 379. What is the common denominator of 143\/18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -0.4 (c) -33 (d) -0.421 (e) -6\/41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - ((-7)\/(-854))\/((-30)\/2336). Let m = -8801\/4697 + 321\/77. Let c = m + w. Find the common denominator of -17\/9 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -138*v - 139. Let y be p(-1). Is -4\/827 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*u = -38*u + 164*u + 504 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 4\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 - 57*o + 36. Determine r(-29).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133098.\nAnswer: 2, 3, 7, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 + 29 - -12) + -4 + -6.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 66483.798 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8933741, 8933736, 8933731, 8933726?\n\"Answer: -5*h + 8933746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**20*a*a**(-3\/19)*(a**(-14)\/a)\/(a**25\/a))**(2\/65) assuming a is positive.\nAnswer: a**(-138\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 33*y**2 + 88*y + 22. Give l(30).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbdbbbbbbbd. Give prob of sequence bd.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 5*g**4 - 227*g**2 + g - 2*g**3 + 1 - 3*g - 3*g**4 + 0 to i*g + s*g**3 + d*g**4 + n + o*g**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -2 (c) 4\/183 (d) -0.4 (e) 1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10) - (13\/65)\/(2 + (-2641)\/1311)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + ((-39)\/(-10))\/((-48)\/(-64)). Find c such that 0 + 132\/5*c**4 - 24\/5*c**2 + 14*c**5 + k*c**3 - 8\/5*c = 0.\nAnswer: -1, -2\/7, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/10305 and -7\/6641?\nAnswer: 298845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 5*r**2 - 6*r + 2. Suppose 4*p = p - 18. Let u be b(p). Let z be u*(-26)\/(-4)*3. Calculate the highest common factor of 26 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g**3 + g**2 - 9*g - 29. Let b be z(-3). Let p = 937 + b. What are the prime factors of p?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40985*v - 30977 + 30977.\nAnswer: -40985*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 42. Let n be (5 - (-18)\/12) + 1\/(-2). Is y(n) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*u = 29, 10 = 2*h - 4*u - 8. Solve 5*z = -3*s + 10, 0 - 24 = -h*s - z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**4 - 11469*z**3 + 889*z**2.\nAnswer: 48*z - 68814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1675*j - 437172. Determine u(261).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1227284 is divided by 409092.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -153*m**3 + 20*m + 44. Is 41 a factor of v(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 291*k**6*m*z - 110748*k**4*z + 37126196*k**2*z + k*m wrt k.\nAnswer: 34920*k**3*m*z - 2657952*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, h: 7, d: 2, q: 2, s: 4}. What is prob of sequence sqdq?\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 1, -0.4 in increasing order.\nAnswer: -0.4, 1, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16251 is divided by 740?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -9*g + 22. Let f be (30\/20)\/(2\/4). Let l be o(f). Which is the nearest to -0.4? (a) 1 (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5.001. What is n rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 17*f - 2*f - 4*f + 23*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 39*h**2 - 74*h + 34. Calculate the remainder when 87 is divided by o(-37).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyqnqn. What is prob of sequence nq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 363*p + 1080.\nAnswer: (p - 360)*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1598 and -0.003791?\nAnswer: -6.058018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v + 1. Let w be i(3). What is the units digit of w + 2 + -1 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5201 + 7768 = 373*j + 660 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 8:14 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*h = 1044, 178 = -4*k - 2*h + 982. Calculate the remainder when 1000 is divided by k.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 0 (c) 0.83 (d) 2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 370 and 172790.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 22*i**3 + 27*i**2 + 12. Let n(z) = -86*z**3 - 112*z**2 - 50. Determine 6*n(s) + 25*u(s).\nAnswer: 34*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1195415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -8 + -11 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from jqqijiijqjqjjqqiiqjq?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 4*u - 1. Let l(t) = -t**2 - 2*t + 1. Let c(z) = 2*l(z) + n(z). What is c(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, y: 2, s: 2, x: 4, m: 3}. What is prob of sequence mxtt?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16848867907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*r**5\/4 - 4*r**4 + r**3.\nAnswer: r**3*(r - 2)*(7*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/1 - (-5 - -8). Let y = -1.74 - 7.96. Let c = 10 + y. What is the third smallest value in c, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 10, u: 1, v: 4, f: 5}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 16 = -24. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 2*g = -52, -5*f = 18931*g - 18927*g - 86 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2726486099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**4 - o - 1. Let l be 0 + 4\/((-8)\/(-6)). Let u(y) = y**4 + 3*y - 4. Let r(s) = l*b(s) + u(s). Differentiate r(h) wrt h.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -693, -2789, -6313, -11289, -17741, -25693, -35169, -46193?\n\"Answer: -4*u**3 - 690*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-2)\/(-14)*(-394)\/(-2364)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37718713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flffffl. What is prob of sequence ff?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*w - 9*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 2. Suppose 0 = -g + 21 + h. Suppose -b + 0*b = q + 1, -4*b = -4*q - g. Solve 5*c = c - k + 21, 5*c - b*k = 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 + 0 + d**4 - 1337*d**3 + 3 - 2*d + 1338*d**3 in the form b*d**4 + n*d + j*d**3 + l*d**2 + i and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -12, 3\/5, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -3 - (943\/31119)\/(1*1\/6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -2*k**6\/105 - k**5\/35 + k**4\/7 + 2*k**3\/21 - 4*k**2\/7 + 9*k. Solve q(f) = 0 for f.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8543990*i*n + 397898*i + 7 wrt n.\nAnswer: -8543990*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Let x = 2112 + -2108. Let j(d) = 9*d + 4. Give x*f(h) + j(h).\nAnswer: 5*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -10*x - 11*x + 37*x - 4 - 13*x. Let z be n(4). Suppose -3*i - 2 = -z. Solve 1 = u - i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from {m: 6, o: 2, e: 7}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7*(-4455)\/630*-1*10 and 2145?\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(2\/19))**(2\/25) assuming g is positive.\nAnswer: g**(16\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 1, b: 3, x: 1, n: 1}. What is prob of picking 2 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000491475 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 24 = -w, -5*d - 33 = 5*w - w. What is the units digit of ((-8)\/(-24))\/((-1)\/d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 15 - (-80 + -95 + 157)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166 by -1.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 277*m**2 + 5*m - 11 wrt m?\nAnswer: 554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 9:18 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10 - 1)\/9 - -12. Let v = -3.8 - 0.2. Sort 5, v, q in decreasing order.\nAnswer: q, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.11, 2\/17, 30\/7, -0.3, -43, -2\/5, 4\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 78\/(-21) + (-2)\/7. Let b be 734\/u - 33\/(-22). Let n be b\/(-8) - 21\/28. Calculate the greatest common factor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -672 - -448. Let h = b + 518. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**3 + 2125096*q**2 + 21251296*q + 34002176 = 0.\nAnswer: -8, -2, 531284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**5 + 20*x**4 - 25*x**3 + 10*x**2 - 4*x - 4. Let v(c) = -2*c**5 + 20*c**4 - 25*c**3 + 10*c**2 - 3*c - 3. Let b(i) = -3*o(i) + 4*v(i). Factor b(w).\nAnswer: -5*w**2*(w - 2)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/6*(-18)\/75*42\/52605*25?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.168902534 + 0.1689. Round c to 7 dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, b: 2}. What is prob of picking 2 j and 1 b?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.156, 3, 0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2802 is divided by 1394.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -0*q - 4*q. Let a be (-12)\/(-28) - 33\/(-21). Let k be (13\/(-39))\/(a\/(-30)). Solve 20 = 4*n, -k*c - 5*n = -40 + q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 990647530*w**3 - 183878056*w wrt w?\nAnswer: 5943885180*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 25*r + 41. Let q = 23 + -25. Let n(l) = -l**2 - 12*l + 21. Let k(f) = q*j(f) + 5*n(f). What are the prime factors of k(-10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57849960 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5320 is divided by 4048?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/36)\/((-2)\/(-3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.2. Let x = -2\/541 + -2154\/2705. What is the closest to u in 1, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/45 - (-2 - (-15)\/(-9)). Suppose 0 = 2*i + v*i - 10. Solve 0 = -3*n - i + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 91, 125, 157, 187?\n\"Answer: -i**2 + 37*i + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139334382?\nAnswer: 2, 3, 11, 703709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21490518 divided by 45822.\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and 2144.6.\nAnswer: 53615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i**2 + 518*i - 177. Let j be x(86). Let z(o) = 2*o - 5. Let d be z(4). Sort -4, 1, j, d in decreasing order.\nAnswer: d, 1, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**6\/12 + 7*w**5\/12 - 35*w**4\/24 + 5*w**3\/3 - 62*w**2. Let g(l) = 0. Calculate l.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 10 = 11*k. Let f(c) = -2*c**3 - c**2 - c - 4. Let g(t) = t**3 + 2. Let m(l) = -6*f(l) - 11*g(l). Let v be m(k). Which is greater: -6 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + y**5 - 898 - 10*y**5 + 894 + (19*y**2 - 32*y**2 + 18*y**2)*(-2*y**3 + 4 - 4).\nAnswer: -19*y**5 + 2*y**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8442452 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 43\/14 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/32 and 35\/424.\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -52, 5.\nAnswer: -52, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4)*c)\/((c\/(c*c**4))\/c*c))\/(c*c*c**2)**(-4) assuming c is positive.\nAnswer: c**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1942646 to the nearest integer?\nAnswer: 1394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11637*w + 4304*w + 11053*w.\nAnswer: 26994*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*f - 16*p + 20*p - 4, 0 = 3*f - 2*p - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 5:25 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 81?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 11:11 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1372*r - 1. Let h(f) = -138*f**2 + 2 + 137*f**2 - 2. What is h(n(u))?\nAnswer: -1882384*u**2 + 2744*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**3 - 15*p**2 + 3*p + 13. Determine o(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -683640 (base 9) to base 13.\nAnswer: -114504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000048244 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2 (b) 3 (c) 0.5 (d) -2\/75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 9 (c) -4 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + -18. Let f = -783 + 744. Let k = f - x. Solve 4*u = k*u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3856 divided by -8?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(-9)*(0 - 3). Let i be 9\/6*4\/3. Suppose 5*p + 3*f = -33, -p + i*p + 2 = 4*f. Which is greater: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+1537257\nAnswer: 1537256.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e (base 15) in base 8?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-390)\/(-780)*5\/1.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3192944 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 110 = -4*h, 4*v = 3*h - 2*h - 30. Solve 39*s = 13*s + h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329699257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/8 + (-105)\/12. Let k be 2\/f + (-60)\/(-27). Factor -k*j**4 + 0*j**2 - 3*j**2 + 3*j - 3*j**3 + 5*j**4.\nAnswer: 3*j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**3 - t + 2*t**3 + 2*t**4)*(9 + 6 - 5) to the form v + h*t**4 + j*t**3 + g*t + r*t**2 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j*k*u + 330*j*k - 3*j*u - 2160*j - 2*k**2 - 2*u + 1 with respect to k.\nAnswer: 3*j*u + 330*j - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-414)\/10)\/((-6)\/20). Suppose -2*g + g - l = -h, 0 = -2*h - 4*g + 264. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1159936576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252666887.\nAnswer: 11, 41, 560237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 50 = 4*m, 2*r + r + 4*m + 69 = 0. Let a be 2\/(-6)*(4 + r). Solve -d - a*l = 15, 3*d - 8 = 4*l + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 1, i: 1, t: 1, g: 1, u: 2}. Give prob of picking 1 t, 1 u, and 1 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + z + 1)*((2*z - 4*z + 3*z)*(-4*z - 3*z + 5*z) + 5*z**2 + 0*z**2 - 4*z**2) to h*z**3 + a + f*z**2 + s*z and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**3 - 159544*g**2 - 2200800*g wrt g?\nAnswer: 18*g - 319088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(((t*t**(-2\/3)*t*t)\/t)\/t*t*t))\/t)**(3\/41))**(-5) assuming t is positive.\nAnswer: t**(35\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m - 1351 = 719. Calculate the greatest common factor of 115 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 - 6*n**2 + n**2 + (2 + 2*n - 2)*(-6 - 2 + 5 + 2*n).\nAnswer: -n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/1)\/((-1)\/1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5879410 is divided by 909?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**5\/3 - 30140*q**4\/3 + 3785390*q**3\/3 + 15533180*q**2\/3 + 3905885*q = 0. Calculate q.\nAnswer: -6151, -3, -1, 0, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 30*n - 23 + 38)*(35*n + 4*n - 5*n) in the form w*n**2 + m*n + q and give w.\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 316 and 59882.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11841, -11836, -11831, -11826, -11821?\n\"Answer: 5*o - 11846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2634, 1.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 100101110000001110 (base 2) to base 13\nAnswer: 55503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -26*p**2 + 0 - 1\/12*p**5 + 2\/3*p**3 - 1\/3*p**4 + p. Factor t(x).\nAnswer: -(x + 2)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, f: 1, q: 7}. What is prob of picking 1 f and 3 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + (sqrt(76))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-5))\/((-2)\/(-10)). Let h be 3\/y*-17*20. Suppose 8*g - 3*g - h = 0. What is the remainder when g is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30715 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -434\/5 + 86. Suppose 2*k - 4*h + h + 17 = 0, 2*h = 10. Which is the third biggest value? (a) k (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 30\/7929863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21992858*u + 13*u**3 - 21992858*u.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15309203 and 910?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2717399591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -736, -538, -208, 254, 848, 1574?\n\"Answer: 66*y**2 - 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45 - 71*m**3 + 74*m + 37*m**3 + 36*m**3 + 20*m wrt m.\nAnswer: 6*m**2 + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1134\/81*52\/98)\/((-3)\/(42\/(-4)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 43038?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**3 - 9 - 10 - 5*t**3 + 4*t**3 in the form p + f*t + y*t**2 + d*t**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.0000004 - 9. Round z to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-567438)\/4)\/((-575)\/170 + 3). Let v = o + -370703. Let w = 314 - v. Which is the nearest to -0.1? (a) 4\/3 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o - o + 11*o - 4*o - 4*o - 969 to the form a + t*o and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbebqee. Give prob of sequence bq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2450382107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.9 + 1.3. Let c = 11.6 + z. Suppose 1 = 3*b - 4*b. Are c and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2515 - 1.5745. Round a to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(204) - -1*sqrt(204)) + sqrt(204)))\/(sqrt(432) - (5*(sqrt(432) + (-3*sqrt(432) - sqrt(432))) + sqrt(432) - sqrt(432)))*3.\nAnswer: 3*sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6 + l - 3 + 0. Suppose -15 = 5*o, -o - 69 = -5*t + 2*o. Let j be k(t). Is j != 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**3 - 34*b + 17. Let f be c(0). Solve -32 = 4*m + 3*v, 3*v = -26*m + 25*m - f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckwwpijwcpppp. Give prob of picking 1 k and 1 j.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*i**2 + 115*i?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7*k - 2. Let v(s) = 21*s - 7. Let r(a) = -11*b(a) + 4*v(a). Let x(i) = -i. Let g(h) = -r(h) - 5*x(h). What is the units digit of g(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 4*k - 6 = 2, 29*k + 5 = 28*k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 21. Let v = a - 9. Let m = v + 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) 14 (c) -1\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 4*k + 17*k - 6 - 2 + 0 + 3*k**2. Let a be m(-10). Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 219 and 54624?\nAnswer: 3987552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (55869\/(-2))\/((-880)\/(-17600)). Round x to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19\/2 + -55\/6. Which is bigger: v or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.206901286 times 3?\nAnswer: 0.620703858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 2*v**2 + 326*v + 59. Determine r(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 10 = -14*j. Sort 0, 2, j in increasing order.\nAnswer: 0, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 10. Let x be g(5). Let l be (-3 - x)\/((-39)\/(-26)). Does 13 divide (-41 - 0)\/(l\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2\/11, -3, 1\/4, 4, -212 in decreasing order.\nAnswer: 4, 1\/4, 2\/11, -3, -16, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 167 - 466. Let q = 725 + i. What are the prime factors of q?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001401276636 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*b - 8302*b**3 - 2877*b**2 + 6430*b**3 - 4*b - 5*b wrt b?\nAnswer: -11232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11855 + 992*z**2 - 11855 - 162*z**4 + 7*z**3 - 94*z**2 wrt z.\nAnswer: -3888*z + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (13\/(-39))\/(1\/(-6)). Suppose 0 = 3*s - z*s - b, -3*s - 3*b = -12. Factor 0 - 2\/9*u - 2\/9*u**s.\nAnswer: -2*u*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(((t\/((t*t**(-2\/21))\/t))\/t)\/t)*t*t**(4\/9)*(t\/t**(-2\/3))**(-5\/3) assuming t is positive.\nAnswer: t**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/15)\/((-3)\/45). Is (-38)\/(-8) + 5\/h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*n**3 - 26 + 24 + 343*n**3.\nAnswer: n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37 - 31 + 19)*(-47*t - 56*t + 20*t) to the form i + m*t and give m.\nAnswer: -2075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1. Let k(l) = -l**3 - 98*l - 8*l**2 + 4*l**2 + 25*l**2 + 4. Let y be k(7). Which is the nearest to -1\/5? (a) 4\/9 (b) u (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -145\nAnswer: -11\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (5 + -2 + 1 - 1) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**4\/4 - 203*m**3\/2 + 303*m**2 + 4686*m. Find d such that z(d) = 0.\nAnswer: 1, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039087?\nAnswer: 7, 79, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 7:20 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/155 and -41\/55.\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.8 - 33. Which is the fourth biggest value? (a) o (b) -0.5 (c) 7\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1459 * 0.2\nAnswer: 291.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-5*(sqrt(475) - 4*(-3 + sqrt(475))))**2 + -2).\nAnswer: -110473 + 9000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**12\/((f\/f**(-2\/13))\/(f**(-1)*f))*(f\/(f\/f**4)*f\/(((f\/(f*f*f**1*f))\/f)\/f))\/f**(-2\/7) assuming f is positive.\nAnswer: f**(1923\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**3*k**2 - 29*c**2*k**2 + 43*k**2 - k wrt c?\nAnswer: -3*c**2*k**2 - 58*c*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/17 (b) -2 (c) 9\/5 (d) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -306 by 9.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 6. Let m(q) = 2*q - 5. Let w be m(v). Suppose 17 = 3*x - w. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 860 + 11317 = z + 186*c + 1942, 3*z + 260 = -2*c + 7*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0812172 * -0.6\nAnswer: 0.04873032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31266*r**3*z**2 - r**2*z - 5*r - 108*z**2 + 2*z wrt r?\nAnswer: -187596*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(1260\/(-135))*(-3)\/(-99).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*j = -105, 2*x - 5*j + 4*j = 55. Let l = 11 + -8. Suppose g - x = -0*g - 3*o, 0 = l*g - 4*o - 127. Is g 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 dytoot. What is prob of sequence tt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122439, 122444, 122449, 122454?\nAnswer: 122459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -12*l - 52. Let j be q(-7). Let w(d) = 42 + j - 6*d - 74. Let u(z) = -2*z**2. Give u(w(g)).\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245 (base 10) to base 6.\nAnswer: -1045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i - 10. Let c(x) = 3*x - 7. Calculate 7*c(r) - 5*o(r).\nAnswer: -4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.32730749458 take away -0.03?\nAnswer: -7.29730749458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4558182\/(-90)*(-3)\/(-24118). Let k = -138264 - -1667325574\/12059. Let v = k + n. Calculate the common denominator of -1\/10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5594293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i - 174 + 599 = -100 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from uouuuuouoo.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**5 + 93*v**4\/4 - 57*v**3 + 153*v**2\/4 + 27*v\/2 = 0.\nAnswer: -1\/4, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25951799 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x - 12. Let k(j) = 2*j + 6. Let m(r) = 6*f(r) + 13*k(r). Let d(i) = -3*i + 5. Calculate -5*d(p) + 4*m(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128.9 - -187.6. Let s = w - 59. What is the closest to 0.2 in -2, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p = 8. Let z(m) = 4 + 0*m**3 - 3*m**3 - p + 2. Let j(n) = -3*n**3 + 3. Suppose s = -2*b + 8, 0 = 3*s - 2*b - 3*b + 31. Determine s*j(w) + 3*z(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*a - 9 = 0, -5*a + 2 = 5*f - 13. Let p(v) = -v**3 - 2. Let g(b) = -b**3 - 1. Determine f*p(l) - 2*g(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*g + 10*g + 45*g + 35*g + 9*g + 10*g**3.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1608623107 to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*d**5 - 17711*d**4 + 84*d - 5068.\nAnswer: 420*d**3 - 212532*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -684\/7*i + 58482\/7 + 2\/7*i**2.\nAnswer: 2*(i - 171)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Suppose -m - r*a + 10 = -2*a, -a = -2*m + 14. What is the units digit of (-2)\/(6\/m - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -15*p. Let l(g) = 26*g**2 + 72*g - 6. Let k(w) = -60*w**2 - 143*w + 14. Let a(h) = -3*k(h) - 7*l(h). Determine a(n(c)).\nAnswer: -450*c**2 + 1125*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*s = -v + 1567860, 2*v = -3*s - 3135705. Let h(j) = -407539*j**2 + 3. Let f be h(3). Let l = f - v. Round l to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**5 - 324*b**4 - 296*b**2 + 3026738*b?\nAnswer: -20*b**3 - 3888*b**2 - 592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-3 - (-364)\/120)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -461*a**2 - 56*a - 7. Let g(p) = -923*p**2 - 126*p - 15. Calculate 4*g(k) - 9*h(k).\nAnswer: 457*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400, 3523, 12198, 29269, 57580, 99975, 159298, 238393?\nAnswer: 340104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2. Let p(f) be the third derivative of -f**4\/24 - 70*f**3\/3 - 69*f**2 + f. Give p(g(u)).\nAnswer: 2*u**2 - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -25*q + 376. What is the thousands digit of x(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 22*o**2 - 5340*o - 16166. Calculate a(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*((sqrt(684) - (-1 + sqrt(684)))*1 - sqrt(684)) - (0 + (sqrt(684) - sqrt(684)*2) - (sqrt(684) - (sqrt(684)*2 - sqrt(684))*-2))))**2*-5*2.\nAnswer: -6156360 + 21600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -176*q**2 + 495 + 495*q**2 + 468*q**2 wrt q?\nAnswer: 1574*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/(450\/(-80)))\/(20\/(-15)). Solve 2*i = -2*g + 1 + 1, g = z*i - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 1:09 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 63740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycwmz. What is prob of picking 1 w and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4003 is divided by 143?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 333.37 + -333.37000208815. Round z to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -253.9606 + 254. Round m to 3 decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4973940, -19895778, -44765510, -79583136?\nAnswer: -124348656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(28)*1.\nAnswer: 5 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368, -3924, -9850, -18146, -28812, -41848, -57254?\nAnswer: -75030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3155537885?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48958508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -9*f**3 - 11*f**2 - 2*f - 4. Let i(o) = -7*o**3 - 8*o**2 - o - 3. Give 4*i(k) - 3*x(k).\nAnswer: -k**3 + k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/21146980 and -58\/215?\nAnswer: 909320140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1204.184 + 1200. Let u = 79 + -83.1. Let a = b - u. Round a to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 846 and 270?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -705*y = -716*y + 84942. What are the prime factors of y?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000543464 to six decimal places.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2441461?\nAnswer: 11, 221951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 8*r**2 + 6*r + 9. Let c be s(7). Suppose -5*l - 20 = 0, -j + c*j - 48 = 4*l. Calculate the highest common factor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 - 118. Let g = 370\/19 - 5333\/228. What is the common denominator of g and 257\/x - 10\/(-35)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494106131 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -660 + 660. What is the closest to w in 4, 0.05, -0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) 3\/5 (c) -1 (d) -2\/3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3765 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0. Let k be (-22)\/(-12) - z\/(-6). Let o be 5\/(-2)*k\/(-30). Sort o, 0.1, 2\/9 in descending order.\nAnswer: 2\/9, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*c**3*z**3 + 3*c**3 + 3*c*z**3 + c*z**2 + 83209*z**3 + 73595594*z**2 wrt z?\nAnswer: 144*c**3 + 18*c + 499254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**3\/3 - q**2\/2 - 6*q + 11. Let i be x(3). What is the smallest value in i, 2\/19, 2\/5, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2509\/3 - -840. Suppose -z*x**2 + 2\/3*x + 0 = 0. Calculate x.\nAnswer: 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54\/18*4\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4 = 4*x - 3*i, 0 = -x - 4*i + 11. Suppose -k = -s - 177, -s + 8 = x*s. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0223 and 169525.4.\nAnswer: 169525.3777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from rkrkrkrkkkrk.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 17988 = 2*r + 4554, 0 = 4*r + v - 26882. Is 84 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2420*q**2 + 475*q**2 + 8440*q**2 in the form c*q + u + h*q**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4 + 12 + 8 + 6 + 2 + 6*t. Determine f(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60763.\nAnswer: 60763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**(2\/7)\/m*m))\/(m*m**(-11\/2)*m))\/(m**7)**(15\/4) assuming m is positive.\nAnswer: m**(-589\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5752165613?\nAnswer: 5752165613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 55305?\nAnswer: -55311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2112310331 (base 4) to base 5.\nAnswer: -124232124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73673343?\nAnswer: 3, 97, 84391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**6\/120 + 7*i**5\/60 + 7*i**4\/24 + 2*i**3 + 22*i**2. Let f be w(8). Solve -f*n = n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**2 + 2*c. Give t(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5212575, -10425153, -15637731, -20850309?\nAnswer: -26062887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most -39\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvnnrnrvrrr?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in -0.2, -1\/10, 2\/11, -3\/4, -2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1158 is divided by 35.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*v - 11605 = 0, 4*j - 23654 = 4*v - 8178. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1704*o - 149 + 149.\nAnswer: -1704*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*a - p - 21, 0 = 2*a + 5*p - 61 + 92 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*t + 3, -3*c - 4*t = 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58534 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 12. Let x be y(0). Suppose -50*d = 25*d. Suppose -x*u - 30 - 6 = d. Let g(b) = b**2 + b - 3. Determine g(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5237 (base 14) in base 13?\nAnswer: 65a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-6 + 2 + 12 + -3 + -10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 12694861.\nAnswer: -5\/12694861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4346950 or 1\/9?\nAnswer: 4346950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**(-1\/10)*p)))**10*(p\/((p*(p**(-11)*p)\/p*p)\/p))\/p**(-2\/11) assuming p is positive.\nAnswer: p**(222\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -76639775 divided by 5?\nAnswer: -15327955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -26. Let x = a - 120. Let v = x + 108. Solve 0 = -3*n - v + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.08 rounded to 0 dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-11.7\nAnswer: -4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1343 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 228 = -0*g - 3*g, 380 = 5*g - 2*m. Let k = g + -107. Which is smaller: k or 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1783\/15 + 661\/6. Find the common denominator of q and -2 + (-6153)\/(-1182) + -3.\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbgb when four letters picked without replacement from {b: 5, g: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 140 = -85. Calculate the remainder when 107 is divided by p.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/28*23\/(2185\/(-38)))\/(-1)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32463 = -5*v - 4*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 + -1 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 20 + 49 + 59, 9*z - y - 28 = 12*z - 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 734576398 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 34 = 3135. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(51\/28220)*(-5547)\/9245?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n - 2*n - 2 + 9*n.\nAnswer: 22*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1107, -5\/2, 9?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 4*l**2 - 2*l + 2. Suppose 4*w = -2*s - 2*s + 20, 5*w = 3*s + 9. List the prime factors of u(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 37 - (19 + 80\/(-8)). Suppose -89 = -3*d - 5*c, -4*d = -7*d + 3*c + 57. Suppose j*l - 405 = d*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = -5*c + 5, 273*v = 258*v + c - 16 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3 - 4*o - 5 + 6*o + 2 - 5*o. Let g(r) = 8*r + 17. Let f = -2 + 6. Let v = 37 - 26. What is f*g(b) + v*a(b)?\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -214122 (base 6) in base 2?\nAnswer: -100010101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17912*x**3 - x**2 + 17*x - 5992004 with respect to x.\nAnswer: -53736*x**2 - 2*x + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 9. Let g be n(10). Let l be 1\/(-3 + 4\/g). Let a be 78\/44*(-14)\/21 + l. Put a, -3\/5, -0.08 in descending order.\nAnswer: -0.08, a, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 2289460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1536*h**2 + h - h - 1557*h**2.\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1170 and 7950.\nAnswer: 310050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w + 11*w = 36*w - 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1419.072, 2 in ascending order.\nAnswer: -3, 2, 1419.072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5176 is divided by 5173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5507789, 5507788, 5507787, 5507786?\n\"Answer: -g + 5507790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 35?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -22. Let o = 25 + j. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: d (base 16) to base 13\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 divided by -55?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22375 - 5033. What are the prime factors of l?\nAnswer: 2, 13, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -575*u**9\/84 + 7*u**5\/60 + 8*u**3\/3 + 4*u**2 - 89*u. Find the third derivative of i(j) wrt j.\nAnswer: -414000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - t + 1. Let b(k) = 2*k - 2. Let z(y) = -b(y) - 2*g(y). Let r(s) be the third derivative of -s**5\/30 + 2*s**2. Give 5*r(n) - 4*z(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 10 = 2*w. Let y = -17 + 20. Suppose 3*x - x - 20 = w*c, y*c = x - 4. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 703*f**3*l + f**3*s**2 - f**2*l*s - f**2*s**2 - 5*f**2 + 99*f*l*s wrt f.\nAnswer: 4218*l + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/14)\/(10\/(-35)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29091.\nAnswer: 3, 9697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*f**2 + 62*f**2 - 674407 + 674407.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -340200 divided by -3\nAnswer: 113400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 - -69. Calculate the highest common divisor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8025131 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3538 + -154?\nAnswer: 3374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 936230 and 4?\nAnswer: 1872460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 1:58 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f + 31. What is q(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**3 + 2*c**2 - 11*c - 22. List the prime factors of g(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*((-1)\/1)\/((-2)\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.28 and 11.133.\nAnswer: 3.11724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13.14063 litres?\nAnswer: 13140.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/2 - 87*c**2\/2 - 2523*c\/2 - 24389\/2.\nAnswer: -(c + 29)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/1125)\/(36\/(-75))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34*1\/14 + ((-129766)\/1519 - -84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2459197 to the nearest one thousand.\nAnswer: 2459000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from {a: 1, b: 2, d: 3, h: 3, j: 4, f: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**3 + 5*j**2 + 4*j + 5. Let p(h) = -3*h**2 + 29 - 2*h - 4*h**3 + 2*h**3 - 32. What is -3*b(n) - 5*p(n)?\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. Let p be (-43560)\/25047 - 12\/46. Let u = 0.3 - 0.2. What is the closest to -0.05 in p, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 39. Suppose z + 5*j + 12 = r, 2*j + 8 = -2*z - 0*z. Let g = -5 + 3. Is g < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-45 - (2 - -1)). Let d = l - 20. What is the derivative of -d*a + 26 + 31*a - 22*a**4 wrt a?\nAnswer: -88*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -365945*n**2*s**4 - 2*n**2 + 4*n*s**2 + 1135*n*s - 4*s**5 + 3*s**2 + s wrt s.\nAnswer: -8782680*n**2*s - 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2\/17 - 6391952*y\/17 - 31959810\/17 = 0?\nAnswer: -5, 3195981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Let z = -0.19 + 0.29. Let f = -15\/2 + 7. Which is the closest to -1? (a) f (b) z (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v - 8. Let i be x(6). Let m = -6 - -10. Suppose 13 = m*h - 3. Solve -1 = 3*l + h*c, 0*l = -4*l + 2*c - i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 189 and 1512?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3221, 3224, 3229, 3236, 3245?\nAnswer: 3256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*f - 7*f + 13, -5*f + 7 = u. Suppose 2*x + 2 = f. Solve 0*n - 2*n + 2 = x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2 - 7516*j + 15024 = 0. What is j?\nAnswer: 2, 3756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 2*l**3\/3 + l**2\/2 - 509*l + 7. Let x be k(0). Let j be x - (-3 - 0 - -4). Round j to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 28*s**3 + 12*s**2 + 31*s - 192. What is the remainder when r(3) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 375*p**2 + p**5 - 2*p**5 + 92703 - 92703 + 156*p**4 wrt p?\nAnswer: -60*p**2 + 3744*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2376319484 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -13*p**2\/2 - 2. Let h(r) be the second derivative of 3 + 0*r**3 + 5\/12*r**4 + 0*r**2 + 2*r. Calculate l(h(u)).\nAnswer: -65*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**3 - 9*q**2 + 21*q - 79. Determine i(4).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -3 - (-1 - 1). Suppose -4*g + 13 = -5*k, -f*g = -6*g - 5*k + 1. List the prime factors of (6\/(-10))\/(g\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, g: 1, s: 7, c: 1, d: 8}. Give prob of picking 1 s, 1 g, and 1 d.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 129553422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-247)\/130 - 8\/(-4)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 4778504?\nAnswer: 4778500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 250031?\nAnswer: 15\/250031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (22\/24 - 57\/228)\/(2\/(-30))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(605) - sqrt(5))**2 - (sqrt(5) + 0 - sqrt(5))*-2.\nAnswer: 40*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7729220?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(9)\/sqrt(3)*3 + 4 + (-2*sqrt(3))**2*-2)*4.\nAnswer: -80 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 18*n**3 + n**2 - 2*n + 1. Suppose -3*g - 5*t = -t - 29, -25 = -2*g + 3*t. Suppose 0 = -3*u + 41 - g. What is the least common multiple of r(1) and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2257, 5, 3, -1, 0, 1 in ascending order.\nAnswer: -2257, -4, -1, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + h + 12 = 0, h = d + 6 + 2. Let f be (-2)\/(-2) + 1 - (d + -12). Suppose 7*b = 12 + 9. Solve 3*y + b*i = -f - 3, -5*i - 29 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9303 + 5?\nAnswer: 9308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -543\/3086 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 f, and 1 m when three letters picked without replacement from vmjafawamff.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 512473.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 3, 1\/4, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/585 + ((-153117)\/(-28188))\/53?\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from {v: 1, s: 2, y: 2, t: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -8\/3*z**3 + 0*z**2 + 0 - 9\/5*z**5 - 10\/3*z**4 - 1\/21*z**7 - 7\/15*z**6 - 5*z. Factor n(l).\nAnswer: -2*l*(l + 1)*(l + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -30196*y - 28. Let h(r) = -r + 1. Let v(k) = 8*h(k) + z(k). Suppose -39*g + 16*g = 115. Let a be v(g). Round a to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a factor of 3885354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8 from -10847102.\nAnswer: -10847102.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0, -2\/7, 19\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 12:34 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -79*o**2 - 8*o + 2. Let l(z) = 155*z**2 + 15*z - 5. Let a = -59 - -54. Let v(t) = a*w(t) - 2*l(t). Factor v(j).\nAnswer: 5*j*(17*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*k**3*x - 14*k**3 - k**2*x + k + 254*x wrt k?\nAnswer: 42*k*x - 84*k - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1821?\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128 * -1.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*n + 6 = 0, 0 = -4*d - 91*n + 92*n + 12. Let x(a) = 3*a**2 + 5*a + 1. Let q(l) = -2*l**2 - 3*l - 1. Give d*x(k) + 5*q(k).\nAnswer: -k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 699*c**2 - 4*c - 8. What are the prime factors of m(-2)?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbc when three letters picked without replacement from {c: 2, o: 1, k: 1, b: 2, s: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8*k - 12. Let o be f(2). Let x(a) = -1. Let p(r) = -9*r - 9. Let j(u) = -p(u) - 6*x(u). Is 9 a factor of j(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+3343565663168\nAnswer: 3343565663166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8491367 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102778974?\nAnswer: 2, 3, 17, 335879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1715.1828 months to years.\nAnswer: 142.9319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -3. Suppose -14*d = -11*d - w. Suppose -l + 4*u + 185 = u, d*l + 5*u - 403 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 = -0*g. Suppose -36 = i - g*i. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-1*2)\/(sqrt(6) + sqrt(48)\/sqrt(72)))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45208990 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -142565, 2, 5, -5 in ascending order.\nAnswer: -142565, -5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13986 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: Calculate (1 + 0)\/((1 - 1) + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-27)*u\/u**(-7\/8))\/(u**14*u)**(7\/6))**39 assuming u is positive.\nAnswer: u**(-13299\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23604060.3999978 + 23604058. Let v = 15 - 17.4. Let p = v - i. Round p to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -0.016.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 20*m**2 - 3*m - 7. What is the remainder when 158 is divided by z(-20)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 5. Let a(g) = g**2 + g + 53. Suppose 2*r - 4*c - 3 = -c, 0 = -5*c - 5. Calculate the remainder when a(r) is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/((g*g**1\/g)\/g*g*g)*g**(2\/3))\/(g**(2\/5)\/g**(1\/6)))**(2\/3))**40 assuming g is positive.\nAnswer: g**(104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -10668.5.\nAnswer: -10669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 3:14 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = i + 3*d, 16 = -2033*i + 2036*i + d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 9*c**5\/2 + 3*c**4\/4 - 63*c**3\/4 - 3*c**2\/4 + 45*c\/4 = 0?\nAnswer: -5\/3, -1, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-1)\/1)*3. Suppose -f - 10 = -11*f. Which is the nearest to f? (a) 0 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2063 to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 45. Let u = -2157 - -2132. Let b = u - p. Sort b, 8, -0.1 in increasing order.\nAnswer: -0.1, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -25.97. Let i = -0.03 + l. Let b = 0.1 - 1.1. Is b at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 42 = -3*z, -2*m = -z + 63394 - 63360 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 55?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 11*j - 31 - j + 0*j + 3*j. Does 23 divide v(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.50314 nanoseconds to minutes.\nAnswer: 0.000000001241719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 + 10\/(-4) + 0. Which is the fourth smallest value? (a) -5 (b) m (c) -1\/2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - h - 63, -2*h + 1675 - 1533 = 2*t for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/21 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 6*g - 8*g + 1109, 3*s - 2777 = -5*g. Suppose -5*w - 5*u = -1240, -3*w + g = u - 178. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from {p: 1, o: 1, j: 2, z: 1, q: 1, a: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 637 (c) 159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**5\/20 - v**4\/4 + 2*v**3\/3 - v**2\/2 - 3*v + 18. What is m(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u - 27. Let m be b(-14). Suppose d - 63 = m. Suppose -146 = -c + d. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11920)\/(-24)*54\/5. Let z = p - -5277. Suppose 2*v = 1759 + z. Round v to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14495926 to the power of 1\/2, to the nearest integer?\nAnswer: 3807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2557814 or 2557815?\nAnswer: 2557814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + -48 - (9 + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1305 + 1328. Put 1\/5, 1, -0.2, p in descending order.\nAnswer: p, 1, 1\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from qioioiovcoiffq.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 621 - -964. Suppose 6*f + 22139 + w = 0. Is (1 - (-2)\/(-4))*(4 - f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - x + 9. Let u be (484\/(-726))\/(2\/12). Determine w(u).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 + 4.05. What is the third smallest value in n, 2\/9, -2\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72136)\/(-508))\/(-2*3\/4*4).\nAnswer: -71\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + (-590)\/(-12) - (-12)\/(-72) is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14152537 to the nearest integer?\nAnswer: 3762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1700 - -1724) + 39 + (0 - -1)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8598 - 7807. List the prime factors of t.\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*o - 160. What is the remainder when o is divided by (-64)\/(-6) - -2 - 405\/243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = -58 + 34. List the prime factors of (-5 - m)\/(-4*7\/12082).\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 60*z**4 - 12655*z**3 - 1060*z**2 + 1055*z = 0.\nAnswer: -1\/3, 0, 1\/4, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6561 + 6573. Solve -p*d - 56 = 16 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 3*n = -5, -4*z - n = -2*z - 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*m**2 + 13*m**2 + 6*m**3 + (-m - 3*m + 3*m)*(m**2 + 3*m**2 - 2*m**2) - 6*m**3 + m**3 - 3*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42420 is divided by 719?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**2 - 7 - 5 + 11*j + 19 - 14*j - 3*j**3. Calculate the least common multiple of a(-2) and 49.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 1, 286334.\nAnswer: -3, 1, 5, 286334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g. Let t(w) be the second derivative of w**3\/6 - w. Give b(t(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5528 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 i(d) = -d**3 - 37*d**2 - 31*d - 715. Calculate i(-37).\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/42 - (-1 - 25\/(-35)). Solve m = 5*h + 25 - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 18*l**3 - l**2\/2 - 2*l + 4728. Determine z(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2995119949?\nAnswer: 2995119949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2123 - 2099. Calculate the lowest common multiple of 2007 and d.\nAnswer: 16056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.018 - 5. What is k rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (26\/3)\/(46\/(-2139)). What is c rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56119817459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.01991\nAnswer: 0.001991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**2 + l. Let p be j(-1). Suppose -t + 60 = p*r, 3*r = 1 + 5. Suppose 136 = 5*c + 3*f - t, -4*c + 4*f + 168 = 0. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242982665 to the power of 1\/2, to the nearest integer?\nAnswer: 15588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004349 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/8735 and 71\/170.\nAnswer: 296990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1944*j**2 + 12*j + 2*j**3 - 108*j - 256 + 0*j**3 + 2*j**3 + 1968*j**2 = 0.\nAnswer: -8, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 807219.5 decades to years.\nAnswer: 8072195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vssv when four letters picked without replacement from {s: 2, v: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 492*h. Let y(w) = 4391*w. Calculate k(y(z)).\nAnswer: 2160372*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 is divided by 195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(4\/(-10))*198\/10. Let k = 381 + q. Suppose -o = -7*o + k. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + -2 + 4 - (374 + -369).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -4*j + 35, -j - 3*j = -2*z - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 10263933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417 + 211 - 930*o**3 + 206.\nAnswer: -930*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1550\/20)\/((-1)\/(-2)). Suppose z - s = 4*u, 4*u = -3*z + 395 + 22. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 0 + 0*n**2 - 3*n + 1\/6*n**3. Let k(b) = -5*b**2. Calculate k(t(g)).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d - 6*d + d + 0*d - 2*d + 3*d + (0*d + 3*d - d)*(1 - 3 + 3).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*q + 264 = 0, 3*b + 188 = 2*q + 3*q. Let r be (-2)\/7 - 16\/b. Is -4\/3 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 40298.\nAnswer: 8059.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 17 = -0*g - 2*h, 0 = -4*g + 5*h + 61. Calculate the highest common divisor of 234 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.865 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-1 - -4) - -6. Suppose 3*o = 3*q + 2*q + 50, 0 = -3*o - 3*q + 18. Find the third derivative of o*s**2 + 2*s**l - 9*s**2 + 0*s**6 wrt s.\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuyuuuquiuqqqququxu. What is prob of sequence xi?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 6*o + 5. Let d be m(-3). Let g(t) = 2*t**2 + t + 1. Let z be g(-1). Sort d, z, -2.\nAnswer: d, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -200 or -1394\/7?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 (base 7) in base 8?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194974 is divided by 32478?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 6 = 3*h - 2*r, -4*h + 4*r = -12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 7*a**2 - 5. Let b(m) = m**3 + 9*m**2 + 3*m + 20. Let g(v) = -4*v + 19. Let x be g(7). Let r be b(x). What is w(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + (sqrt(78) - -1*sqrt(78)*-5))\/(sqrt(600) - -1*sqrt(600)) - -4*(-3 + (1 + sqrt(468) - sqrt(13))**2 + sqrt(13) + (1 + sqrt(13))**2*-5).\nAnswer: 77*sqrt(13)\/20 + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15925.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -20*(-5 - 76\/(-16)). Solve -u + o*u - 16 = -2*m, -2*u + 12 = 3*m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132035658.\nAnswer: 2, 3, 22005943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**6\/40 - u**5\/5 - 5*u**4\/8 - u**3 - u**2 + 5*u. Let t(l) be the first derivative of o(l). Factor t(q).\nAnswer: -3*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 131*a*m*r**3 + 7*a*r**3*y**2 + a*r*y**3 - 3*m*r**3*y**3 - m*r*y**2 - 21*m*y**3 - y**3 wrt y?\nAnswer: 6*a*r - 18*m*r**3 - 126*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196 (base 12) to base 3.\nAnswer: 100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, s: 9}. Give prob of picking 2 s and 1 e.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10684*n + 10692*n = 23392. Is 34 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 15*n**2 + 42*n + 141. Suppose 5*c + 85 = 4*x, 3*c - 2*x + 51 = -5*x. Give y(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000033148 rounded to 6 dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-2)\/((-2)\/23). Let f = t + 45. Sort -4, 5, f, 3.\nAnswer: -4, f, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276887203?\nAnswer: 461, 600623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 612795304 to the power of 1\/3, to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:15 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/1530 - 10696\/630?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105352190, -105352192, -105352194, -105352196?\nAnswer: -105352198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - k + 6*k = -449, 5*q + 5*k = 595. Let l = q + -115. Let j(s) = -2*s**2 - s. Let h(v) = v. Give l*j(d) + 3*h(d).\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*t**2 - 38*t - 47 - 38*t - 43*t - 46*t - 18*t**3 + 167*t wrt t?\nAnswer: -108*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - 32*l + 13. What is n(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 15 + 9 - 73*u + 14*u + 29*u. Let y be q(-3). Let l = -88 + y. Is l a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2505 - -2529. Calculate the greatest common factor of i and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyt. What is prob of picking 1 y and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -776*a. Let i(t) = 1036*t. Let p(n) = -6*i(n) - 8*y(n). Let f(k) = 10*k - 8*k + 10*k. What is f(p(s))?\nAnswer: -96*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2034.8602 rounded to zero dps?\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 + 0)*(-k**2 + k**2 + 3*k**4) + 5*k**2 - 8*k**2 + 5*k**2 - 4*k**4.\nAnswer: 20*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = 4*p - 3*v, 3*p - 5*v - 181 - 75 = 0. Is 91 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**3)**(-1\/12)*(r*(r**(-2)\/r)\/r)**(-5\/8) assuming r is positive.\nAnswer: r**(49\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32833, -32861, -32905, -32971, -33065?\n\"Answer: -w**3 - 2*w**2 - 15*w - 32815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11000010101 (base 2) to base 11\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9227*b**2 - 6088*b**2 + 58230*b**2.\nAnswer: 61369*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3126701 litres in millilitres?\nAnswer: 312.6701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 2 + ((-70)\/22 - -3). Let z be (-2)\/4*2\/(-6). Which is the nearest to -0.2? (a) o (b) -1\/6 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a week in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2228148 divided by 8073.\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50\/118389 or 0?\nAnswer: 50\/118389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 12. Suppose 4*z = z + 36. Let t be s(z). Solve -3*p = r - 9, -5*r + 5*p - 15 = -t*p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3158818 by -121493.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -656912?\nAnswer: -656912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.5924615m?\nAnswer: 0.0005924615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.4*13.3875.\nAnswer: 58.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.097489us?\nAnswer: 0.000002097489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - -2 - (-20)\/4. Let m = l + -5. Let x = -95 + 98. Solve -5*f + 20 + 5 = 0, x*f + 1 = -m*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86 - -161. Let h be (-203)\/5 + 4\/(-10). Let x = h - -71. What is the greatest common divisor of n and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, d: 2, p: 1, w: 1, k: 4}. What is prob of sequence bwb?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -373260\/55133 + 4\/4241. Let z = i + 90\/13. Let f = 3 + -2. Which is the biggest value? (a) z (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*g - 49*g + 36 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11862459 divided by 441.\nAnswer: 26899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 6*l - 832 + 958 = 0 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 2*o - 7, -29 = -6*m - 5*o - 27 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1621.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 - (-42 + -15 + -43)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 75 in -2\/11, -3, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2311, 2168, 1937, 1612, 1187, 656, 13?\n\"Answer: -n**3 - 38*n**2 - 22*n + 2372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 2:58 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h - 4*h + 11*h + h in the form y*h + b and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, -2, -1286.\nAnswer: -1286, -9, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 4 (b) 17\/6 (c) 4\/7 (d) 2146 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - g - 20 = 0, -35 = -3*s - 4*g - 0*g. Suppose s*n = -10 + 10. Suppose 4*c - 80 = -3*a, n = -0*a + a - 3*c - 5. Solve 0 = 4*y + 4 - a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2061 - -354. Which is smaller: -1711 or r?\nAnswer: -1711","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**3\/6 + v**2 + v - 2. Suppose 3*j + 10 = 1, -3*w = -4*j - 36. Calculate the least common multiple of 10 and b(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17990.02 meters?\nAnswer: 17990020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -25764 = -27293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v. Let g(t) = 3*t**2 + 10*t - 3. What is -6*b(j) - g(j)?\nAnswer: -3*j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (55\/(2090\/76))\/((-12)\/24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*g + 2223185 = 557018. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(0*r**4 - 8*r**4 - 3*r**4) + (-10*r**2 - 13 + 13)*(-173*r + 173*r + r**2).\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 16*i - 14. Let c be x(-17). Factor 0*s**5 + 20*s**4 + 12*s**2 + 32*s**3 + 4*s**5 + 14*s**c - 18*s**3.\nAnswer: 4*s**2*(s + 1)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -b - 2 - 5, 21 = 2*o + 5*b. Let f = -4 + o. Let d = f + 6. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/44 and -61\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 50, 32, 6, -28, -70, -120?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 350 + -390 - (-5754)\/144?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-4 - (-4158)\/1041)?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 968932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*f + 19 = 0, 3*t = -4*f + 2 + 1. Suppose 3*s = 2*z - 6, 43 = 4*z + t*s + 9. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4403 is divided by 867.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -216 - -1219. Calculate the remainder when m is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0, 5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 2*h - 3*h)*(1 - 1 - 2) + 5 + 6*h - 2 - 2 - 17*h - 132*h - 481*h.\nAnswer: -626*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/(q\/(q*q**(-11)))*q*q))**(-18)*(q**(-12)*q)\/(q**(-3\/4)\/q) assuming q is positive.\nAnswer: q**(-613\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 133*w - 13. Let r(l) = -264*l + 21. Calculate 5*m(x) + 3*r(x).\nAnswer: -127*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 278902826 to the nearest one hundred thousand.\nAnswer: 278900000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 175 - 125. What is the greatest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -17*p**6\/60 - p**4\/12 - 79*p**3\/6 - 13*p**2 - 7*p. Differentiate i(o) with respect to o.\nAnswer: -102*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3635 in 0.18, 2\/7, 1, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100845409*d**6 + 7*d**2 + 2172*d + 5099?\nAnswer: -12101449080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302031 is divided by 17766?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-4)))\/a**(-2\/7))**(-4) assuming a is positive.\nAnswer: a**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202330 rounded to the nearest ten thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, 0.7, -0.5 in ascending order.\nAnswer: -0.5, 0.7, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1692268.698455781 - 0.365544219. Let l = -1692479.06399837 - g. Let n = l + 210. What is n rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -7. Suppose 5*w + 7 = -3*h, -6 = 2*h - 4*w - 38. Suppose h = 4*f - i. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*u + 10678, -u + 4264 = h + h. Is h\/33 - 1\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3*g = 3*s + 4, 4*s + g = -18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/129 (b) -1 (c) 0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 722 and 0.056?\nAnswer: 40.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (16\/20)\/((-32)\/(-320))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*l**2 + 93*l - 178*l - 2 + 0 + 86*l to the form v*l + y*l**2 + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100120 (base 3) in base 5?\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 - 2*c + 1. Let v be u(1). Suppose -4*x + o = -120, -v*x - o + 68 - 8 = 0. Let a = x - 18. What is the remainder when 22 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 1 = 2*g, 1 = 4*o + 2*g - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.035 in 6639, 3\/2, 3\/4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(30\/4))\/((-516)\/(-1935)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49.115 - -0.115. Let o = 48.8 + x. What is the smallest value in o, 0.4, -0.05, 2\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0114 + 0.0886. What is the nearest to t in -0.4, 2\/13, -2\/17?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7508986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48137.9 times -5?\nAnswer: -240689.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -1 in descending order.\nAnswer: -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 - 53 = 12*u. Calculate the greatest common factor of u and 315.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63 + -2393a4a?\nAnswer: -2393ab1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 305 - 278. Calculate the lowest common multiple of n and 102.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 3:04 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -27*u - 2. Let y(r) = 11*r**2. Determine j(y(t)).\nAnswer: -297*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.411 - -4.351. What is the nearest to 9 in 3\/4, -0.3, d, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 14. Let f(v) = -v + 13. Let o(w) = -7*f(w) + 6*x(w). Let q = 85 - 79. Calculate o(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1362 and 7037?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2889*v + 8875 = -3592*v - 46662 for v.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4211, 8029, 11913, 15875, 19927, 24081, 28349, 32743?\nAnswer: 37275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35\/24 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 136 + -155 + (6 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**5*(d*d**(-2\/47)\/d)\/d)\/(d**(5\/3)*d*d\/(d**(-3\/7)\/d)))**33 assuming d is positive.\nAnswer: d**(-1496\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l = 27*l + 9*h + 54, l = -h - 16 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13542 divided by 2\nAnswer: -6771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from {u: 1, j: 1, t: 9, r: 5}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l\/((l\/l**(-9\/5))\/l))*l)\/l*l)\/((l**(-5)*l)\/l))\/(l**34*l**(-44)\/l))**(-1\/3) assuming l is positive.\nAnswer: l**(-89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*w + 21 - 5, -2*j - 5 = 3*w. What is the closest to -2 in 0.4, 1, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/7 (b) 23 (c) 1 (d) 2221 (e) -2 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/13 + 8\/13*h**2 + 10\/13*h = 0. Calculate h.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 - 108 = -2*q. Which is the closest to q? (a) 2\/5 (b) 2 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119072.3kg in milligrams?\nAnswer: 119072300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2100)*-3*-5)\/((sqrt(700) + 2*sqrt(700))*-6).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-2)\/4*432\/(-3 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 12. Suppose 2*p - p - 5*k = 53, -5*k = -2*p + 111. Let h be p\/(-18) - (1 + (-22)\/18). Let y(s) = s + 6. What is h*u(d) - 5*y(d)?\nAnswer: -2*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 38 (b) -1\/4 (c) 4 (d) 875 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1891 - 948 = 41*v for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-36)*(1079\/(-65) + 16)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - n = 5, 0 = -14*v + 9*v + 4*n + 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 1. Let i(q) = -7*q + 4. Suppose -4*h + 783 = -h. Suppose -h*y = -262*y - 2. Determine y*v(c) - i(c).\nAnswer: 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 1\/191, 4, 1\/9, -1\/8 in ascending order.\nAnswer: -42, -1\/8, 1\/191, 1\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -13*x**3\/6 - 2*x**2 + 1131*x. Give k(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*j**4 + 207*j**3 - 811*j**2 - 615*j + 396 = 0. Calculate j.\nAnswer: -33, -1, 3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 4 + 0)*(-3*w**2 + w**2 + w**2) + 14*w + 5*w**2 - 14*w)*(-62*w + 40*w + 30*w) as k + t*w + r*w**3 + c*w**2 and give r.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 12*f**2 - 6*f + 23. Let i be w(12). Find the common denominator of 31\/(-1)*1\/(-4) and i\/(-22) + (-72)\/(-33) + -2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - 2*g**2 - 3*g**2)*(-2*g + 3 + g - 6).\nAnswer: g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*a - 25 = 0. Let i be (a\/2)\/((-5)\/(-130)). Suppose -2*z + i = 3*z. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224, -2224, -7412, -17306, -33424, -57284, -90404?\nAnswer: -134302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/3 + 3290*q\/3 + 16475\/3 = 0. Calculate q.\nAnswer: -5, 3295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 12*o + 2 + 7*o + 2 - 20*o. Let s(z) = 1. Let k(h) = 4*s(h) - t(h). Let b(p) = -6*p. Calculate b(n) + 5*k(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/408)\/((-6)\/216*9).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 18 (b) 3125 (c) -0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2677 a factor of 48631060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 2. Let c be t(-6). Let m(r) = -2*r - 6. Let k be m(c). Let y = 12 - 10. Solve -i = y*n + 5, n = i - 6 + k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 12:51 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*o = 1229, 5*i - i = -3*o + 1597. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -7*t + 5*t + 20, 4*t = w + 12. Solve -2*k - t = 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {o: 5, i: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + (6 - ((8 - (1 - 7)) + -13 - -3))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -827 + 4686 - 3857 - 432*h.\nAnswer: -432*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-324)\/1080*-10*1\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 6 = 0, -17*u = -12*u + 3*l - 19. Let o(y) = y**2 - 15*y - 11. Let k(q) = -2*q**2 + 27*q + 21. Let h(j) = 3*k(j) + 5*o(j). Give h(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + q - 8. Calculate f(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 8 - 887. Let p be (2049\/6)\/(2\/(-4)). Let v = b - p. What is v rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 1, b: 2, n: 1, p: 2}. Give prob of sequence bq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2 + 3)*0)\/(-1). Let m = -7 - -19. Suppose k = -o + 3*o - m. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 89*m**2 + 443*m + 494. Calculate x(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2633 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 14. Suppose -2*p - 6 + 8 = 0. What is the nearest to p in t, -1\/3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311 = -13*l + 2770. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -368 divided by -8?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (43 + -43)*((-8)\/6 - 15\/(-18)). Let j = -197 + 342. Let o be j\/(-612) - (-2)\/8. Is s at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {k: 4, w: 2, t: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6720000 is divided by 1600.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -15098 < -15098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/(2\/((-16)\/20)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9)*-9*(-2)\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - -34?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*n**2 + 9*n + 8223 wrt n.\nAnswer: 104*n + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.048, 0.4, 7\/267, -0.3?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/1091300 and -59\/975.\nAnswer: 42560700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -150849*a**2 - 61. Let m(o) = 3*o. What is m(s(l))?\nAnswer: -452547*l**2 - 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6 (b) 0 (c) 3\/2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 37*n**3 - 2*n**2 + 2*n - 1. Give l(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 38. Let y be 22\/(-8) - 4\/o. Let r be (3 - (y + -34))*1. What is the highest common divisor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72321 (base 8) to base 5.\nAnswer: -1424110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81*h**3 - 386*h**2 + 32*h + 386*h**2 wrt h.\nAnswer: -486*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*r**3 - 381*r + 36*r**3 - 936*r + 53*r**3 in the form p*r**3 + t*r**2 + y*r + x and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 10 = f, -110*f + 113*f + 15 = -6*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -44 (b) 4 (c) 2 (d) -229 (e) -0.6 (f) 2\/7 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 32, 53, 80, 113?\n\"Answer: 3*y**2 + 6*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-2)*3\/6. Let f(y) be the first derivative of 2*y**3\/3 - 1. What is the units digit of f(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d\/(((d\/(d**(-1)\/d)*d)\/d)\/d)*(d\/((d\/(d\/(d*d**(-1)*d*d)))\/d))**(-25))\/((d\/d**2)**(1\/15)*d\/(d**(-9)\/d)*d\/((d**3*d*d)\/d)) assuming d is positive.\nAnswer: d**(-164\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 99660825.\nAnswer: 99660825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*i + 1)*(4 - 4 - 1) + 31*i - 332*i - 53*i - 2*i - 5 + 5 + (2*i - 5*i + 4*i)*(0 + 1 - 2) - 3*i - 3*i + 5*i - 5*i - i + 5*i.\nAnswer: -361*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**3\/3 - 5*k**2\/2 + 5*k + 1. Suppose j = 2*f + 7 - 1, 3*j + 3*f - 9 = 0. Give d(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1456 and 5040?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*z - r, 0 = 2*z - 3*z + 5*r + 20. Suppose -30 = -5*k - 3*p, 3*k + z*p = -p + 22. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 88. Let w = -37 - o. Solve -d = -w*d + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600 = 5*q - 610 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2 + 5 + 9*l + 1 - 2 - 3. Give p(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 116538*n + 40562685.\nAnswer: -3*(n - 345)*(n + 39191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 60*g**2 + 18*g - 66. Does 22 divide y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 11*j + 6. Let f(k) = -11*k - 4. Let o(c) = 3*f(c) + 2*l(c). Suppose 9 + 4 = -5*p - 4*h, 3*h + 6 = 0. Calculate o(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286 and 307579987?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3. Let i(l) = -24*l + 6. Let u(g) = g + 1. Let y(c) = r*i(c) - 2*u(c). Is y(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2512149 = -18*i + 1178322 - 202809. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p + 16*p + b + 5 = -20*p, 0 = 3*b + 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00871 to four dps.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 95*j - 93*j - 10. List the prime factors of (j\/(20\/(-4)))\/((-3)\/1569).\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68723.33km in micrometers?\nAnswer: 68723330000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 14 - 23 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, a: 2, q: 2, m: 1}. What is prob of sequence mqs?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 253308836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*a, 14 = 5*j + 2*a + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -379262 - -1?\nAnswer: -379261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -52940 rounded to the nearest one thousand?\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 10:07 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2798 is divided by 217.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38143242.\nAnswer: 2, 3, 109, 19441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**8\/112 - k**7\/15 - 3251*k**5\/60 + 4221*k**2. What is the third derivative of m(p) wrt p?\nAnswer: -180*p**2 - 336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36025 (base 7) to base 16.\nAnswer: -2440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 5*x - 25 = 0, 2*l = -69*x + 72*x - 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -941*k + 1587*k - 14858 = 0 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -14*o + 1. Let p be h(-4). Suppose p = -k + 4*k. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 29) + (4 - (1 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 53222, -3.\nAnswer: -3, 1.1, 53222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1. What is the smallest common multiple of 1\/((4\/(-4))\/(-2)) and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 305162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -f - 46 + 53, -5*f = 3*g - 29 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24805157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -6 - -7 - (-6 - -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/4*188\/6 is divided by 34\/3 - (-16)\/24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 4*u**2 + 4*u + 17. Let n be z(-4). Which is greater: n or 5\/27?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 26 = -3*l, -6 = 15*l - 14*l + b. Suppose 4*c + 2 = -2*z + 4, -5*c = -2*z - 16. Let j = -16 - -21. Put c, j, l in ascending order.\nAnswer: l, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(45) + 4*sqrt(405))*-4)**2.\nAnswer: 486720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**2 + 9053 - 9053 + 8*u**2 + 3*u**2.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3328 - 13313\/4. What is the smallest value in j, -5238, -0.3?\nAnswer: -5238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**7\/210 + j**3\/3 + 3*j**2 - 6*j. Let w(q) be the first derivative of r(q). Differentiate w(o) wrt o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10533.4 and -598.7.\nAnswer: 9934.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 - -56. Let x be 4 - v - (-2 - 1)*-1. Suppose h - 4 - 1 = 0. Solve x*q - 8 = -3*u + 6*q, 5 = 5*u + h*q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23128\/26432)\/(1\/32)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/3)\/((-18)\/27)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*v**3 - 14*v**3 - 19*v**2 + 5*v**2 wrt v.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - (4*sqrt(55) + sqrt(55)))\/sqrt(11) - (-5 + sqrt(5)*-3).\nAnswer: -sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 16*t**2 + 13*t + 217. Give d(-19).\nAnswer: -1113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -40. Let f(q) be the first derivative of -q**2 - 3*q + 2. What are the prime factors of f(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 66 = -0*i. Suppose 4*x - x = i. Suppose 8*h - x = 7*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -403 (base 5) to base 13\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1471994 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 14*k + 2*k)*(37 - 2*k**4 + 120*k - 120*k).\nAnswer: -34*k**5 + 629*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h - 25 - 31 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**6\/10 - y**4\/3 + y - 6. Let r(i) be the first derivative of l(i). What is the third derivative of r(t) wrt t?\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/15 + 184\/(-10). Let g = 23 + x. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(5\/1))\/(24\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 less than 392\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1459 = 5*f + 609. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 79.577.\nAnswer: 79.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30007 + 12175?\nAnswer: -15612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.55 - 23.55. Let n = 1462.3 - 1485. Let k = x - n. What is the closest to 0.2 in -0.1, -4, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 91521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + 89.3. Let p(m) = m**3 - 4*m**2 - 3*m - 11. Let w be p(5). Let y = -0.1 - 0.9. What is the closest to y in q, -0.03, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -707281*a**3 + 2277441456*a**2 + 10832076*a + 12880 = 0. What is a?\nAnswer: -2\/841, 3220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278630, -1114508, -2507638, -4458020, -6965654?\nAnswer: -10030540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-2 + -2 + 3). Let l be (p\/6)\/(2\/33). Let z = -7 + l. Calculate the lowest common multiple of z and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 0*v**2 + v**3 + 9 + 25*v**2 + 2. Let r(o) = 3*o**3 + 50*o**2 + 21. Let d(i) = -7*h(i) + 3*r(i). Differentiate d(c) with respect to c.\nAnswer: 6*c**2 - 50*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 4*n + 48, 14*o - 19*o - 10 = 0 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeyleyeyrlerreeeel. Give prob of picking 2 l.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 832 + -817. Solve -z*d + 12 = -18 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3134084 is divided by 32310.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*k**2 + k**3 + 11*k**3 + 46*k**2.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 720 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/40, -0.0149, -2\/13 in descending order.\nAnswer: -0.0149, -1\/40, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 - 38. Let o = -22 - -92. Let t = -65 + o. What is the smallest common multiple of t and q?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*s = s + 22, -2*w + 5*s + 24 = 0. Let v = 173 + -177. What is the closest to w in 3\/7, v, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9227800 and 250?\nAnswer: 46139000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 77\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4596 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-one halves of a tonne?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4482946, 8965898, 13448850, 17931802?\nAnswer: 22414754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 8.1, -0.571 in ascending order.\nAnswer: -0.571, 1\/8, 8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 44 (b) -5\/2 (c) 27 (d) -6 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3*283\nAnswer: -849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*1\/1)\/2. Let h = 72 - 1082\/15. Which is the closest to w? (a) 4\/7 (b) 2\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 44\/5 of a milligram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -4*d**3\/3 - 87*d**2\/2 + 4946*d. Determine p(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 3978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1000311201 (base 4) to base 14\nAnswer: 6cad3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -517 by 230.\nAnswer: -517\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9190 divided by -9190?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmq when three letters picked without replacement from wmmwq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -4, -5, 16\/255, -0.32?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1177 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.29999896 - -13.3. What is r rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Let g = 1.19 - 0.19. Put q, 11, g in ascending order.\nAnswer: g, q, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1101001100001101011011?\nAnswer: -1101001100001101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p**2 + 7*p + 5. Let h(f) = -f**2 - f - 1. Suppose -10*b + 33 = 23*b. Calculate b*l(d) + 6*h(d).\nAnswer: 2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 16 = 5*u, -7*s + 9*s = -2*u - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = m + 130 + 170, 0 = -5*m - 3*o - 1428. Let v = m - -337. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.059 in 5\/3, 1\/31, -7?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -472285737 rounded to the nearest 1000000?\nAnswer: -472000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12250 and 84?\nAnswer: 73500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-440)\/3520*1*-2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29052 by -61.\nAnswer: -29052\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 2)*(-39 - 119*i + 39)*(24 - 103 - 82) in the form a + h*i and give h.\nAnswer: -38318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -46. Let t be (f*-5*(0 + 2))\/(-2). Suppose 3*s - 2 = 3*q + s, t*q + 4*s - 26 = 0. Solve -5*b + 23 = -q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-2\/3)*m)\/m*m)\/m)\/(m\/m**(2\/27))*(m*m\/(m\/(m\/(m*m**6))))\/(m**(-1\/10)\/m))**28 assuming m is positive.\nAnswer: m**(-20762\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 24 = -10*h, 14*h - 16*h = b - 50 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6 = 0, 3*l + 4*c - 3 = 14. Suppose 29*y - 56433 = -17573. Suppose l*w + 7*w = y. List the prime factors of w.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2199399164 to the power of 1\/3, to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 16. Suppose 2*f - 5 = -5*g + b, 2*g = 2*f. Let q = -10 - -22. What is the smallest common multiple of f and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -23 - 15. Let p = 115 - j. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 - d + 6*d**2 - 10*d**2 - 12*d**2. Suppose 0 = 12*j - 2 - 10. What is s(j)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*x = 135141 - 11656, 2*x + 123465 = 5*y. Let u = y + -13865. Suppose -2*r - 4320 = -2*a, -r + u = a + 4*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**3 - 16*s**2 + s**3 - 2 + 1 in the form n*s**2 + g*s**3 + o + r*s and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -4. Let b = 2 + j. Suppose -b*m + 46 = 16. Solve -2*w = w + m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4704 and 2970?\nAnswer: 2328480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + h**2 + 1 + 0*h**2 - 5. Suppose -5*a = -a - 12. Suppose -a*k = -k. Calculate q(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155 and 20057.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5*x**(2\/7)\/x)\/(x**(-5)*x*x**0\/x)*(x*x*x*x*x\/(x*x\/(x\/(x\/((x**1*x)\/x)))))**(-39)*(x*x**(3\/10))\/(x*x**(-2\/13)) assuming x is positive.\nAnswer: x**(-133097\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10 - -15)\/20)\/1. Is n at most -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2769 + 2*u - 9*u**2 + 1380 + 1384 in the form h*u**2 + w*u + j and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 8) + -1 + (-3 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 630 - 367 + 10*t - 11*t + 2*t - 3*t + 3*t - 1 + 2*t + 1 + 2*t - t - 2*t + (4*t + t - 4*t)*(0 + 0 + 2) + 0*t + 2*t - t - 2 + 2 - 2*t.\nAnswer: 3*t + 263","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1735522 to the power of 1\/2, to the nearest integer?\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 234*k**3 - k**2 - 140*k - 2 wrt k?\nAnswer: 1404*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 80 times 4\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -8*k**2 + 5*k + 1. Let s(u) = 9*u**2 - 6*u - 1. Let p(m) = -7*b(m) - 6*s(m). Determine p(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1193 + 5173. Suppose -r = -33*h - 195. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 8*j + 11. Let c be a(9). Suppose 4*w = -2*m - 0*m - 6, 5*m - 2*w = 33. Suppose -m*t + 4*t = 0. Solve -3*p - c*x + 6 = t, 2*x - 3*x = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*n**2 + 12*n - 15350 - 15353 - 15346 + 46049.\nAnswer: -30*n**2 + 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + 3*(sqrt(133) + sqrt(133)*-1 + sqrt(133) + sqrt(133)))\/(sqrt(49)\/sqrt(7)*-4).\nAnswer: -7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (660\/(-18))\/(7\/(551796\/8)). Suppose -3*g - g + 13045180 = 0. Let j = g + o. What is j rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*s + 1030 - 940. Solve s*v - 8 = 2*i, -5*i = -2*v + 6 + 17 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 9*t**2 - 9*t - 11. Let l be o(-8). List the prime factors of ((-153)\/(-45))\/(l\/(-75)).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -7467036\/13?\nAnswer: -7467036\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 284621 greater than 284622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2848567010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2136 by -8.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2 - 8. Suppose d*c + 260 = -132. Is 25 a factor of (-17 - c) + (-3)\/((-6)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1534, -1535, -1536, -1537?\nAnswer: -1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-4)\/16*-18. Suppose -134 - 361 = -o*q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 32. Let l = j - 31. Let y = 3126\/11 - 284. Which is the second smallest value? (a) l (b) -1 (c) y (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = -m + 2*w, -w + 8 = 2*m. Suppose 3*l - 4*k = 11, -3*k + m*k = -4. Suppose g = -2*g + l. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 8.01, -4\/5, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5379.3939 less than -125757?\nAnswer: -131136.3939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/108)\/((-50)\/(-75)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 3:03 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7 and -848.\nAnswer: -848.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/9668050 and -53\/14?\nAnswer: 9668050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.03 or 0.06015?\nAnswer: 0.06015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38.53 + -38. Let a = r - 0.34. Let k = a + -2.19. Sort -0.1, 0.3, k in ascending order.\nAnswer: k, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*k + 244 = 2*k, 3*b = k + 193. What is the lowest common multiple of b and 91?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(19\/2))**19)**28 assuming y is positive.\nAnswer: y**5054","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/9*(2 - 2). Suppose -5*b = h - 8, s*h + b + 4 = -3*h. Let m be h + (8 - (4 + -3)). Put -3, m, -1 in descending order.\nAnswer: m, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-15)*30\/(-9). Suppose b*j + j - 185 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14614666?\nAnswer: 2, 11, 29, 22907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 334 + 22. Suppose -2*p + j = -4*v, p - 63 = v + 118. Let u = 376 - p. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/2*(2 + (-27)\/6). Suppose -b - f = -12. Calculate the remainder when 54 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*g - 36. Find the second derivative of 4*c**3 - 7*c + 0*c**2 + 6*c**2 - g*c**2 wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 334*v - 10 + 7 = 343*v, 2*m + 4*v = -6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*z**4 - 5*z**3 + 2*z**2 + 18*z?\nAnswer: 360*z - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1912*x - 286806. Give b(150).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -5 - 2*-1. Let g be w\/9 - (-49)\/(-63). Is -3 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/3)\/((-22)\/(-2299)). Which is smaller: t or -623?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tooooottotot. What is prob of sequence too?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - g = -10, z = -2*g + g + 4. What is the remainder when 1 - 7*(-3 + 2) is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -3. Let x = -3 - -2. Let w = r + x. Let z(l) = -4*l - 2. Give z(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 10:29 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/4984 and 21\/3560.\nAnswer: 24920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z + 104 = 0. Let i = 421 - 567. Let h = z - i. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8550978940 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 3 - 6)\/((-12)\/20). Suppose -l*m + 8*m - 774 = 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 s(j) = 2*j**2 + 24*j + 23. Let l be s(-11). Which is smaller: -4\/145 or l?\nAnswer: -4\/145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*z + 5 + 1 = 0, -5*b = 5*z - 30. Suppose 0 = 4*q + b*q - 1534. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2. Let g(l) = 4*l - 14. Let p(f) = -f + 3. Let y(x) = -3*g(x) - 14*p(x). Determine a(y(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 - 19*t**2 - 74.\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*r - 354 - 566 - 190 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -590.5311 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200 and 400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 7. Suppose -f - 360 = r*w - 64, 1120 = -4*f - 4*w. List the prime factors of 3\/(-5) - f\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 508 and -3.81 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -689 - 1085?\nAnswer: -1774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000944 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 220b584 (base 12) to base 8\nAnswer: 30602564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 203*x + 194. Let c(s) = 409*s + 390. Let t(v) = 3*c(v) - 7*f(v). What is the hundreds digit of t(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004753 rounded to seven decimal places?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*1.808006.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(425) + 4*(sqrt(425) + 1) + sqrt(425) - sqrt(425) - sqrt(425)) + sqrt(425) + 4))**2*4.\nAnswer: 25600*sqrt(17) + 684096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 23 * -20248\nAnswer: -465704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.8567638 greater than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4779, -4782, -4795, -4824, -4875, -4954, -5067, -5220?\n\"Answer: -r**3 + r**2 + r - 4780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -8*l - 8. Determine u(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (216\/351)\/(2\/26)*3\/(-6). Suppose 0 = -5*p + 4*p. Sort f, 64, p, 5 in descending order.\nAnswer: 64, 5, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkakkkkakakkakk. What is prob of sequence aaa?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 28 - 1 = 4*v, 5*v + 37 = 4*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j + 32*j = -270. List the prime factors of (297\/15)\/((-2 + 0)\/j).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: -10335 (base 6) to base 5\nAnswer: -21202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 1. Let q be n(-5). Is ((-23)\/(-2))\/(2\/q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43945.\nAnswer: 5, 11, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38587, -38598, -38621, -38656, -38703?\n\"Answer: -6*g**2 + 7*g - 38588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17.72 from 0.0574.\nAnswer: -17.6626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*t = 58*t + 2*p - 2, -4*t - p + 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4998*l - 3 + 3*l**2 - 5078*l + 3. Let n(d) = d**2. What is b(n(x))?\nAnswer: 3*x**4 - 80*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20009378 and 205202.\nAnswer: 4366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7 + 2 + 2 - 2. Let i(m) = m + 11. Calculate -5*h(v) - 2*i(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9917393?\nAnswer: 23, 431191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-424764)\/2943)\/(-18) - (-10)\/(-15)*12?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41438*u**4 + 12*u**2 - 2469348*u.\nAnswer: 497256*u**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/15, 5, -166, 0.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13315177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14436 (base 7) to base 3.\nAnswer: 12111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/5 - 212*g\/5 - 120.\nAnswer: -4*(g + 3)*(g + 50)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 3)*(2 - 2 + 2) + 3 - 2 + 0)*(3*x**3 + 0 + 0).\nAnswer: 21*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -356*c - 89. Let x be z(-4). Suppose -3*f - 3*t + 3570 = 0, f - x = -3*t - 153. List the prime factors of f.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**3 + 10*y**2 + 2*y - 18. Let p(a) = 3*a**2 + 22 - 2*a**2 - 21 - a - a**3. Let i(m) = -n(m) - 2*p(m). Let i(q) = 0. Calculate q.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4)*(90 - 41 + 18)*(-3 - 2*m + 5 - 3*m).\nAnswer: -670*m + 268","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1440)\/150*(-10)\/4)\/(13\/(-13)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5697008377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211202 - 2200120020?\nAnswer: -2201101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -441 - -108. Let r = c - -554. Is 2 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/33)*g*g**(-1\/23)*(g\/g**(-1\/10))**(3\/23))**(-31) assuming g is positive.\nAnswer: g**(-11563\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67 + 333\/5. Let b(f) = f**2 + 3*f - 4. Let k(q) = q**2 + 9*q - 4. Let m be k(-9). Let n be b(m). Is x at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 53 - 196 = 5*h, 4*z - 4*h = -212. Let c(j) = j - 29. Let a be c(8). Let x = a - z. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 94 + 110. Let i(f) = -8*f - 12 - 25*f + o. Let b(g) = 4*g**2. What is b(i(m))?\nAnswer: 4356*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - 2*p**2 - p**2 + (-2*p - 3*p + 3*p)*(-2*p + 4*p - 3*p) + 3*p**2 + 4 - 4 + 0*p**2 + 4*p**2 - 2*p**2)*(1 - 1 - 1)*(6 - 4 + 0).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 9. Let w(q) = 6*q**2 + 13*q - 28. Let y be w(2). Put -4, g, y in decreasing order.\nAnswer: y, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7, -11, -53, -119, -209?\n\"Answer: -12*d**2 + 18*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 33\/5 of a millennium?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 11:22 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k, -k = -3*l - 2*l + 36680. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -261635 + 2?\nAnswer: -261633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = -2*f, -h = 5*f - 4*h - 26. Let w(m) = 3*m - 4. Let x be w(f). Is (422\/8)\/(2\/x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**2 - 3*y - 5. Let h be p(-4). Let r = h - -64. What is the remainder when 46 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -527*j + 528*j + 5*k - 2819, 2803 = j + 3*k. Does 26 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538291341?\nAnswer: 3, 7, 8544307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 2*m**7\/21 - 2*m**6\/15 - m**5\/5 + m**4\/3 - 6*m. Find t, given that w(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*z - 3*q + 6*q, -3*q - 39 = 3*z. Let w be ((-75)\/z)\/((-6)\/(-27)). Factor w + 15*j + 3\/2*j**2.\nAnswer: 3*(j + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -2*w**4\/3 + w**3\/6 - 52*w + 5. Let u(d) = d**2. Determine h(l) - 5*u(l).\nAnswer: -13*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6*2 - 1. Suppose -3*u - 3 = -2*o + 18, -3*u - 15 = j. Suppose -2*r**2 + r + 2*r**3 + 0*r**2 - r**o = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 18. Let w be s(-13). Suppose -2*i = y + 2*i + 13, -3*y + 4*i - 119 = 0. Let z = w - y. Solve -4*k + 4*m = 16, z*k + 18 = -0*k + 4*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21022221222 (base 3) to base 15.\nAnswer: -2cb5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 - -0.1. Let b = -0.1 - 0.9. Let f = -1226\/9 + 136. What is the closest to f in v, b, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 2\/66009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -113*o**3\/6 - 9*o**2\/2 + 40*o + 3. Let l(i) = -6*i + 1. Let q(m) = a(m) - 3*l(m). Differentiate q(g) wrt g.\nAnswer: -95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35015451.\nAnswer: 3, 11671817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 53887292929 + -736.7?\nAnswer: 53887292192.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 464 and 20851.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by (21\/5)\/((256\/80)\/16).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2)*(3 + -1). Let b(l) = l**2 + l - 1. Let w be b(z). Suppose -32 = -4*k + 4*t, 0 = -5*k - 4*t + t + 8. Which is smaller: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 101. Let o(j) = j**3 + 16*j**2 + 5*j + 32. Let p be o(-16). Let a = p + k. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 3*y + 4. Let j be g(0). Suppose -j*h - 100 = -108. Find the second derivative of -r**5 + h*r - 20*r**5 + 13*r wrt r.\nAnswer: -420*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.1 (b) 3 (c) -4\/9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1131, 1, -34, -3 in decreasing order.\nAnswer: 1, -3, -34, -1131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2178, 8464, 18868, 33390, 52030, 74788?\n\"Answer: 2059*q**2 + 109*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -184461, -184457, -184453, -184449?\n\"Answer: 4*r - 184465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*7\/(-28)*1. Suppose 1\/2*t - 1\/4*t**2 + f = 0. Calculate t.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.1 (b) -17 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -4. Let o(c) = c**3 - c**2 + c - 4. Let y be o(0). Is v\/(-8) + (-1625)\/y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 264 = m. Suppose 2*g - 208 = m. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1586.4 - -1586.8. Which is the smallest value? (a) -5 (b) -1\/4 (c) 1\/5 (d) 1 (e) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11113, -22198, -33259, -44296, -55309?\n\"Answer: 12*v**2 - 11121*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**2 - v + 4. Let j be z(6). Calculate the highest common factor of 55 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-5)*(4 + (-5 - -2)). Let j(d) = 4*d**2 - 2*d - 3. Let p be -9*1*(-3)\/9. Let s be j(p). Calculate the greatest common divisor of s and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63153666*n + 181199786?\nAnswer: 63153666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 plus -792111.1?\nAnswer: -792081.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = m - 30, 0 = 4*l - 18 - 2. Let z(h) = 2*h - h - m*h + 3*h. Let w(v) = 2*v**2. Let x(y) = y**2. Let a(p) = w(p) - 5*x(p). Calculate a(z(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -156 - -160. Suppose g*o + 236 = 1652. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**3 + 86*t**2 - 15*t - 9. Is u(25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1505 + -73748\/49. Which is the third biggest value? (a) d (b) -2 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 28*m + 33. Let i be v(-29). Suppose 0 = -i*k + 2*z + 1814, 2*k - 916 = -3*z + z. Is k a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 414 - 418. Suppose 0 = 4*n - 0*n. Sort n, -7, c in ascending order.\nAnswer: -7, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.4, 4\/5, -1\/3 in ascending order.\nAnswer: -0.4, -1\/3, 4\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -320, -1, 0, 5, -3 in descending order.\nAnswer: 5, 0, -1, -3, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1760*b = 395*b - 7987 - 9253 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (131\/4585)\/(36\/(-20)).\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 2*z**2 - 3*z**2)*(-30 - 30 + 67).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p - 5. Let w be l(3). Suppose w*n = 14*n + 280. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4402728 by 187.\nAnswer: 23544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccccc. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7c30 (base 15) in base 4?\nAnswer: -12130002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2200536 (base 7) to base 3\nAnswer: -111200020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-4) + 12\/(-8). Let g be 1 - (-1)\/s*2. Suppose g*q = t + 2, -3*t - 1 = -4*q + 3. Calculate the highest common divisor of q and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 4*a + 12. Let v be (-5)\/(-2)*(-33 + 35). Let w(j) = j**3 - 5*j + 13. What is v*w(d) - 6*z(d)?\nAnswer: -d**3 - d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + l - 40 = 4*l, -4*l - 61 = -3*g. Let s be (-4)\/10 - 54\/(-10). Let f = g + s. Calculate the highest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273 = -1773*u + 1786*u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + 3463 + 7479 + 5*y.\nAnswer: -2*y + 10942","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:19 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1866, 1913, 1982, 2085, 2234?\nAnswer: 2441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 + 3*k**2 + 5*k + 7. What is r(-4)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**2\/2 + 3*t - 1. Suppose -3*z - 2 = 5*w, 3*w - 117 = -3*z - 129. Let q be b(z). Solve g + 3*g = -q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 x when three letters picked without replacement from crcccxx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/995, -1, 2\/5, 7, -4, 1\/4, 4 in decreasing order.\nAnswer: 7, 4, 2\/5, 1\/4, -6\/995, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8271 is divided by 2550?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39, -81, -123, -165?\n\"Answer: -42*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/2 + (-6)\/94. Suppose 5*d + 4 = -4*n + 5*n, -n + 3*d = 2. Let i(a) = -a**3 - 9*a**2 + 23*a + 11. Let z be i(n). Is z equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106648.\nAnswer: 2, 13331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1718 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466312114?\nAnswer: 2, 233156057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2769*h**2 + 3*h - h - 915*h**2 - 913*h**2 - 938*h**2 - 2*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1580 - 9002 = -5*j + 7418. Is j a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1145, -1269, -1393?\n\"Answer: -124*r - 1021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 0*k + 4*k)*(-1 + k + 1) - 3*k**2 + 0*k**2 + 5*k**2 + 21*k**2 - 21*k**2 + 9*k**2 + (-5*k**2 + 2*k**2 + k**2)*(-4 + 5 - 2) + 3*k - 3*k + k**2.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -144*k + 140*k - 12, -k - 4*k - 29 = -3*l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 570 and 690?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in -3, 3\/2, 1\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*z - 66*z + 72 = 0. What is the remainder when z is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 (base 14) in base 9?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1695 + 1741. Solve -t - 74 = 15*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -107 in increasing order.\nAnswer: -107, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8536 - 5?\nAnswer: -853b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(720))**2 + sqrt(5))*1.\nAnswer: -23*sqrt(5) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 91*u + 21*u)*(9 - 9 + 6*u**3).\nAnswer: -384*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 50*l - 528. Let n be q(20). What is the greatest common factor of 768 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2650\/7 - 378. What is the closest to -1\/3 in -2\/3, f, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 - 8*v - 23\/3.\nAnswer: -(v + 1)*(v + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -44. Let i = 24 - c. Let q(j) = -23*j**3 - j**2 - 2*j - 2. Let h be q(i). Calculate the highest common divisor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5244394 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 3*l - 7. Let b be i(-5). Let r = 85\/69 + 10\/23. What is the nearest to -2 in 1, b, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/4 - 4*l**3 - 55*l**2\/4.\nAnswer: -l**2*(l + 5)*(l + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 113 * -31.\nAnswer: -3503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-552)\/230)\/((-2)\/(-5)). Let h(t) = -t**3 - 4*t**2 + 7*t + 1. Let k be h(-5). What is the remainder when 105\/(-14)*(-2 + x\/k) is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 786233?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 47915 to the nearest one hundred.\nAnswer: 47900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1254 and 1938?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3947895 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 z when four letters picked without replacement from djgwwgjgzwjzjjjwjgyd.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (44\/9)\/((-18)\/27)*3. Let v be 4\/2 + 33\/u. Sort -3, v, -1.2 in decreasing order.\nAnswer: v, -1.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a milligram in micrograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001111011011111 - 1101?\nAnswer: -101001111011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - ((-1)\/(-1) - -12 - 3). Let v be 1 - 0 - d\/(6762\/(-3565518)). Let x = v + 3690. Is x bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6408, 25637, 57686, 102555, 160244?\n\"Answer: 6410*t**2 - t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/5)*c**9*c)\/((c\/(c*c**(3\/7))*c*c)\/c**(-1\/3)) assuming c is positive.\nAnswer: c**(766\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-14 - (-16 + 7 + -3) - -11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 38 + (0 + 13 - (86 - 65))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2305 + 22*f**2 - 477 - 28*f**2.\nAnswer: -6*f**2 + 1828","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 2517804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 10, -5*l + 2*l = -2*b + 44. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/5325437 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(704) + (sqrt(77)\/(sqrt(35)\/sqrt(5)))**2 + -5*(sqrt(704)*3 - sqrt(704))**2*6 + -5.\nAnswer: -84474 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + h + 31 = 0, -7*h = 4*z - 3*h - 20. Let g be (-6)\/z - (-16)\/6. Find the third derivative of -5*p**3 + 14*p**g + 5*p**3 + 8*p**3 wrt p.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -197 greater than or equal to -103732\/523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-5))\/t)**(1\/16)*(t*t**(1\/32)*t)\/(t**(-13)\/t*t*t) assuming t is positive.\nAnswer: t**(459\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 11?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (11 - (6 + 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 130*c - 651. Let s be y(5). Is 13\/184 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 2*b**3 + 0*b**3. Let f = -324 + 318. Let c(o) = -4*o**3 + 3*o**2. Let k(p) = f*y(p) - 2*c(p). Find the third derivative of k(m) wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1032\/3661 - -2\/523. What is the nearest to -0.1 in -2, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Let c(i) = i**3 - 8*i**2 + 9*i - 9. Let l be c(7). Suppose g - 13 = -n + 5*n, 12 = -3*g - l*n. Let z(o) = 5 - g - 6*o - 4. Give y(z(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51358, 51349, 51344, 51343?\n\"Answer: 2*m**2 - 15*m + 51371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.933 - -14.152. What is u rounded to 1 decimal place?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 91. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2, -2*r = -7*r + 4*v + 286. Let o = r - 288\/5. What is the nearest to 2\/7 in -1, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a factor of 3442075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782 - 3\/(9\/12) - -5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 529258761 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1626713.17 to the nearest 100.\nAnswer: 1626700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(10)*1)\/sqrt(5)*-5 - ((sqrt(2) - -4*sqrt(2)*2) + -2))**2.\nAnswer: -280*sqrt(2) + 1980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 339, 533, 743, 975, 1235, 1529?\nAnswer: 1863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -24, -1, 4 in ascending order.\nAnswer: -24, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*l - s, l - 3*l + 40 = 4*s. Let c be (l - -3)*6\/9. What is the greatest common divisor of 70 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {z: 3, h: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 6813*t + 13630.\nAnswer: -(t - 6815)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1764 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -5 (b) 8025\/11 (c) -1\/69 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/7 (b) -0.53 (c) -0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**2 - 6*s**2 + 34*s - 35*s)*(726 + 1003 + 1579 + 1431 - 652) to x*s + c + w*s**2 and give x.\nAnswer: -4087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/795390 and -89\/20.\nAnswer: 1590780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6541 - -1224?\nAnswer: -5314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmhh when four letters picked without replacement from {e: 5, q: 1, m: 3, h: 11}.\nAnswer: 33\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 117*c**2 + 9*c + 2. Let o(r) = 133*r**2 + 7*r + 3. What is 4*m(f) - 5*o(f)?\nAnswer: -197*f**2 + f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 31, -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*o = -0*x - 25, -2*o + 91 = -5*x. Let q be (-2)\/(((-8)\/x)\/(-4)). Suppose -23*k + 534 = -q*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 123 - 122. Suppose -319 = 4*x + s. Is -81 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159685535 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6977*s - 6978*s - 46*s**3 + 16*s**3 + 16*s**3 + 21*s**3.\nAnswer: 7*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1498 is divided by (-11 - (37 - 42)) + (0 - 1 - -23).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.84781 weeks to milliseconds.\nAnswer: 33776755488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2 + q + 7. Let u(i) = 99 + 97 - 195 - i**2. Calculate s(l) - 6*u(l).\nAnswer: 2*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/12*0*-1. Suppose 10*x + 12 = 14*x. Suppose -8*j + x*j - 70 = i. Which is greater: j or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(375) - 2*sqrt(375)*1)*-3)\/((sqrt(30)\/sqrt(6) - sqrt(5))*-1 - sqrt(245)*1))**2.\nAnswer: 675\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-2)\/48).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 34 - 6?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -17*b**2 + 3*b - 1. Determine d(2).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -45*h**3 + 102*h**3 - 51*h**3 + 4*h - 4*h**2 + 2 - 15 - 6. Let p(x) = -11*x**3 + 7*x**2 - 7*x + 37. Determine -4*p(q) - 7*r(q).\nAnswer: 2*q**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - 24) + ((-10)\/(-1))\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170685707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, r: 3, j: 4, y: 1, d: 4}. Give prob of sequence jrf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -263051 - -1.083316215?\nAnswer: -263049.916683785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 11 = -c, -2*c - 11 = 2*c - 4*k - 67 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-54) + (-4)\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**5\/4 - 45*g**4\/2 - 1353*g**3\/4 + 5841*g**2 - 18981*g = 0. Calculate g.\nAnswer: -19, 0, 6, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6\/11))**(-1\/3) assuming p is positive.\nAnswer: p**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6327*h - 6359*h - 169 - 279 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 3*c + 21*c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 4*i + 17. What is l(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 9*a - 7. Let g be z(12). Let h = -31 - g. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 29681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7864*g + 7 + 7886*g + 1 in the form m + f*g and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.6 * -0.6\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.23.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19134 divided by -6378.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffxxfxcfc. What is prob of sequence fxff?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 7*s**2 - 10*s - 10. Let r be y(-8). Let d = 20 - 14. Suppose 2*i + 80 = d*i. Solve r*w - i = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 10 = 2. Let b be 1178\/8 + (-3)\/12. Suppose -5*y = z*p - 233, -3*y - 2*p - p + b = 0. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118.7 - 118.699457. What is i rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260*-0.4.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 264*d**2 + 86*d - 29. What is the units digit of k(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -126 - -39. What is the remainder when 71 is divided by (w\/(-15) - 2)\/(13\/65)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, o: 13}. What is prob of sequence dood?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + 2 + sqrt(1216)*-1 - ((sqrt(2736) - sqrt(2736)*1)*4 + -4))*-6.\nAnswer: -8 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13494609 is divided by 13494586?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 27*v + 14751 = 0. What are the prime factors of v?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 14) to base 9.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 4*s - 11 - 2*s**2 - 3 - 1 + 0. Let t be q(-2). What is the greatest common factor of t and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 633452 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*d + 18 = -210*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19187426 and 1066.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -29. Let g = -2 - 1. Is g >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 193 + -56. Calculate the remainder when b is divided by (420\/18)\/(2\/3).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 604.7627 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40098944?\nAnswer: 2, 313273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 20318*h + 2 + 11385*h - 19722*h to the form c*h + j and give c.\nAnswer: -28655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -1985*j**4\/4 + j**3\/6 - 541*j**2\/2 - 3711*j. What is the second derivative of l(f) wrt f?\nAnswer: -11910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 765, 744, 709, 660, 597, 520?\n\"Answer: -7*u**2 + 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*o - 1 + 105*o + 2*o**2 + 1.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1884351*u + 2 + 1890179*u)*(-4 - 3*u**3 + 4).\nAnswer: -17484*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4134227?\nAnswer: 23, 179749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 10:21 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 9*q - 2*d = 5, 45 = -4*q - 5*d. Let i(m) = m**3 + 5*m**2 - m - 5. Give i(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26.6 + 28.78. Let j = -0.12 + 0.3. Let w = j - n. Which is the closest to -0.2? (a) -5 (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1497*m**2 + m + 3. Let g(d) = -162*d. Calculate g(x(f)).\nAnswer: 242514*f**2 - 162*f - 486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 528883350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 28*q - 93. Let c be v(-24). Let x(a) = 796*a**3 - 798*a**3 + c*a - 2*a. What is x(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - h**2 + h**2 + 0*h + 1 + 3*h**2. Let l be i(-1). Suppose -l = -r - 1. Solve u - 3*u + 8 = 0, 0 = r*j + u - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(95)\/sqrt(5) + -5 - sqrt(19)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u + 4. Let o be l(2). Calculate the greatest common divisor of 144 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1022.9 + -1023. What is the closest to 5 in -36, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29782?\nAnswer: 2, 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 3, 879 in descending order.\nAnswer: 879, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 2*s**2 - 2*s - 2. Let b be x(-2). Let w(o) be the first derivative of 3 - 2\/9*o**3 + 1\/3*o**b + 4\/3*o. Determine i, given that w(i) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -12 + 4 + 8 + 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, l: 2, c: 2, z: 1, h: 2, i: 4}. What is prob of picking 1 h, 1 z, 1 l, and 1 c?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**5 + 0*g**5 - 2*g**5 + (0*g**3 + 3*g**3 - g**3)*(2*g**2 + 2 - 2) - 2*g**5 + 5*g**2 - 5*g**2 - 3*g**5 - 4*g**5 + 0*g**5.\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(20) + 4).\nAnswer: -10*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4 + 13. Let g be ((-1)\/f)\/(1\/(-3)). Suppose 55*a - 34 = 21. Is g bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (165*y - 90*y - 90*y + (6 - 3 - 4)*(1 - 1 - 2*y) - 4*y - 1 + 1)*(-y**4 - 3*y**4 + y**4) + (1 - 1 - 2*y)*(4*y**4 - 3*y**4 + y**4).\nAnswer: 47*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(5\/180*-2). What is the remainder when 23 is divided by k\/30*(-15)\/6 - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 5 - 0)*2. Let t be r\/12 + 94\/4. Suppose -5*i + 8*i = t. What is the remainder when 13 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/((4\/9)\/(770304\/12744)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -470d - c89?\nAnswer: -5598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n + 6*n - 4 + n**2 + 12. Let k be g(-7). What is the highest common divisor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2057)*-2 + sqrt(2057))*6)**2*-3 - (sqrt(102)*-2*4)\/(sqrt(6) + (sqrt(150) + 1*sqrt(150) - sqrt(150)))*-6.\nAnswer: -7997616 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + (-594)\/88)\/(((-63)\/102)\/7).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 360145, 720287, 1080429?\n\"Answer: 360142*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 203*x**3 - 208 wrt x?\nAnswer: 609*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 7 = -13. Suppose -i + 2 = -3*i - 4*f, -5*i + 13 = f. Sort m, 0, i in decreasing order.\nAnswer: i, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 19*y - 25*y + 1 + 4*y**3 - 5*y**3 - 8*y**2. Give r(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.51 + 1.4. Let y = 0.31 + n. What is the smallest value in y, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + -2.03. Let o be 22\/99*18\/16. Sort -3, q, o in ascending order.\nAnswer: -3, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 f when four letters picked without replacement from mfbffmq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j**2 + j - 130. Let o(z) = -269*z. Determine g(o(k)).\nAnswer: -434166*k**2 - 269*k - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + 16*v + 94. What is the least common multiple of 16 and f(5)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, n: 2}. Give prob of picking 4 s.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1867 = 17*n + 320. Let p be (-382)\/(-7) - 52\/n - -1. What is the highest common divisor of 121 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1571, -6358, -14363, -25586?\n\"Answer: -1609*n**2 + 40*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**7\/1050 + 2*r**6\/75 + 21*r**5\/100 - 2*r**4\/15 - 32*r**3\/15 + 12*r**2 - 2. Factor m(b).\nAnswer: (b - 1)*(b + 1)*(b + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1705 - (7 - (-6 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.0648 - 0.0648. Which is the nearest to 2\/3? (a) 2\/13 (b) -5 (c) q (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83379 - 0.5?\nAnswer: 83378.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 1\/128364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/77)\/f)\/f)\/(f**19*f) assuming f is positive.\nAnswer: f**(-1692\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(16\/48)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 2*d. Suppose 5*p + 10 = 0, -b + 3 = 5*p + 8. Suppose -b*j - 12 = -2. Let k(a) = -2*a**2 + 4*a. What is j*k(t) + 5*v(t)?\nAnswer: -t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-4)\/48)\/(1\/(-2)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 745496 (base 12) to base 2\nAnswer: 110111111110001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {v: 2, c: 6}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -647 = 4*w + 9*p - 577, 4*w - 2*p + 4 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7609*t + 109493 + 65514 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-4))\/(1\/(-4)). Suppose 5*x - 8 = 12. Suppose -6*p + 3*h = -p + 12, -h = 4*p - x. Solve -q + 4*j - 7 = -p*j, -o*q + 34 = 3*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -85, -157, -229, -301?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*z = -481, 5*d + 283 = -5*z + 1483. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3839*y + 894 - 2113*y - 894 in the form g*y + v and give g.\nAnswer: -5952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(56\/7)*4*(-6)\/(-72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(21))\/((sqrt(3) - sqrt(3)*-3)*-1).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15428610 a multiple of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44010 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 904*q - 8645*q - 6000*q + 2893*q in the form n*q + c and give n.\nAnswer: -10848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 0.08 (c) 4 (d) 2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1300)*-2 - sqrt(1300))*-1 - (2*2*sqrt(1300) + 3 + -1*sqrt(1300)))**2.\nAnswer: 900*sqrt(13) + 292509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 416198231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229323 is divided by 17640.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 17*o**3 + 12*o**2 + 8*o + 8. Let l be (2\/7)\/((-2022)\/(-168) - 12). Let g(i) = -6*i**3 - 4*i**2 - 3*i - 3. Give l*g(t) + 3*v(t).\nAnswer: 3*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: 5 * 1282\nAnswer: 6410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -940*d**2 - 6*d - 5. Let o be g(-1). Let y = o + 1418. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1859?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8 = -4*f. What is the units digit of (-18)\/(-4 + f\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*l**2 - 15*l**2 + 9*l**2 in the form i + p*l**2 + j*l and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*j**3 + 10*j**3 + 13478*j**2 - 6736*j**2 - 6736*j**2.\nAnswer: -26*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138 and 517017.\nAnswer: 1034034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1516, 1982, 1400, -230, -2908?\n\"Answer: -524*t**2 + 2038*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/3 + 418\/76)\/(42\/8). Which is bigger: 7 or p?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.789 * 10084.\nAnswer: -350812.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -700 in -8, -3, -7, 115?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6871196 to the nearest integer?\nAnswer: 2621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17509 + u - 26312 + 37838.\nAnswer: u - 5983","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 q when four letters picked without replacement from uuuuquuuuquuuuquuuuu?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3 + 315*y**2 + 314*y + 212. Let s be j(-104). Sort -2, 9, -17, s.\nAnswer: -17, -2, s, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 8:35 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 867353 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1361250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2. Let m(v) be the first derivative of v**3\/2 + 8*v - 4. Let y(i) be the first derivative of m(i). What is y(o(a))?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 90*d**3 - 272*d**2 + 135*d + 30. Let v(s) = -30*s**3 + 91*s**2 - 45*s - 10. Let h(c) = 6*n(c) + 17*v(c). Factor h(l).\nAnswer: 5*(l - 2)*(l - 1)*(6*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**2 - 132*d + 268 wrt d.\nAnswer: -4*d - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**7\/21 - z**3 + z. What is the second derivative of a(i) wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, u: 1, w: 2, j: 2, c: 4}. Give prob of picking 1 c, 2 v, and 1 w.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3745233652.\nAnswer: 2, 29, 32286497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 72 = -0*u. Let k be (-3075)\/((u\/80)\/3). What is k rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 16 = 4*c, q + 5*c + 28 = 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 - 63?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhr when three letters picked without replacement from {w: 1, y: 9, r: 4, h: 1, e: 1, x: 1}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/45)\/((-11)\/1446) - (-12)\/66.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-189)\/(-360) - (-66)\/(-176). Let b(m) be the third derivative of 0*m + 17*m**2 + 11\/6*m**3 - 3\/8*m**4 + 0 + k*m**5 - 1\/120*m**6. Determine b(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -22. Let y be i\/(-25) - 42\/(-5). Solve 2*l = -0*l + y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a**2 + 245*a - 91. What is the ten thousands digit of c(41)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a + 17*a = 94. Does 48\/31 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9533*l**6 - 5*l**3 - 136012*l**2 + 2*l?\nAnswer: -1143960*l**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -6*h**3 - 20 - 27 + 71 - 15*h**2 + 69*h - 27*h = 0.\nAnswer: -4, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 41*z - 40*z. Suppose p - m - 5 = 0, z*m + 10 = 2*p + m. What is the derivative of -2*f + p*f - 5 + 3*f wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/12 and -16\/297.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-16 - (1 - -6) - 33).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microsecond in nanoseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9593*t*x**3 + t*x**2 - 124*t*x - 27271*t + 56*x**2 wrt x.\nAnswer: -57558*t*x + 2*t + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1564862 rounded to three dps?\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 1, 3, 2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.402372873 to five decimal places.\nAnswer: -0.40237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27, -126, -279, -432, -585?\n\"Answer: -153*z + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137643761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 192 + -70. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 - -97. Suppose -4*y + r = -16 + 45, -43 = 5*y + r. Let m = 12 + y. Calculate the least common multiple of d and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/265770 and 73\/3744.\nAnswer: 55280160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 17?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0062194497 to 6 dps.\nAnswer: 0.006219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-78))\/((-1048)\/(-10218))\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vatybaveb. What is prob of picking 2 a?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 3, g: 2, e: 3, p: 8}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + 23 - 1) + -17 - -58.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -153 + -4?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -0.6. Which is the nearest to h? (a) -5 (b) 0.5 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -180, -171, -146, -99, -24, 85, 234?\n\"Answer: k**3 + 2*k**2 - 4*k - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -1 + 3)*2\/10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 1 - 13 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 10*h - 8. Let z be m(11). Suppose -5 = -z*s + 2*s. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -86, -102, -116, -128, -138, -146?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 2*w**3 + 11*w**2\/2 + 5*w - 5. Let f(d) = -1 + 1 + 2 + 2*d**2 + 4*d. Calculate 8*f(x) - 3*o(x).\nAnswer: -2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*t + 0*t + t)*(-5*t**2 - 7*t**2 + 5*t**2) - t + t + 2*t**3 + 2)*(-15 - 14*t + 15).\nAnswer: -224*t**4 - 28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -1\/2 (c) 1.6 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 61219, 61224, 61229, 61234, 61239?\n\"Answer: 5*l + 61214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/48 and -79\/24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 484452, 484463, 484488, 484533, 484604, 484707, 484848?\nAnswer: 485033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 16 = 0, 31*r - 36*r = 3*n - 4*n + 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 486*c. Let p be g(1). Let r = 176 - p. Round r to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108 - 49 - -261) + -8?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 54 + -11 + 5 - (5 + -1)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 17 = 3*q + 14, -2*q - 30 = -5*m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 131082 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -214715400 rounded to the nearest 100000?\nAnswer: -214700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40, 16, -12, -38, -56, -60, -44, -2?\n\"Answer: h**3 - 8*h**2 - 7*h + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 699270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 1314*r**2 - 55 - 370*r**2 - r**3.\nAnswer: -r**3 + 944*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 9:32 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 + -152220?\nAnswer: -152247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 938, 3319, 7288, 12845, 19990, 28723?\nAnswer: 39044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**4\/3 - 14*u**3 + 44*u**2 - 49*u - 154. Let b(v) be the first derivative of f(v). Factor b(r).\nAnswer: -4*(r - 1)*(r + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r**4 - 93*r**2 - 27527 wrt r?\nAnswer: -8*r**3 - 186*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3702124.\nAnswer: 2, 17, 54443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550*y - 10856 = 20494 for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9129 + 12544. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*n + 2*z, -n = -136*z + 141*z + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k. Let n(s) = -8*s - 51. Let p be n(-13). Let z(w) = w**3 - 7*w**2 + 7*w + 4. Let u be z(7). Let i = p - u. Calculate c(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/(-154) - (-234)\/(-429).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1014 * -0.2.\nAnswer: -202.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**(2\/11))\/t*t)\/t)**27*(t**(-13)*t*t)\/t**(-3))**4 assuming t is positive.\nAnswer: t**(-568\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(8\/5)\/t**(2\/41)*(t**(-2\/5)*t)**(-1\/35) assuming t is positive.\nAnswer: t**(11007\/7175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w - 17. Let p be 40\/16*(5 + -1). What are the prime factors of d(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from aeaieppvepec.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22015*d**3 - 1 - 11069*d**3 - 11003*d**3 + 1.\nAnswer: -57*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68777401.228240493 - -114210.771698507. Let k = 68891736 - f. Let x = 124 - k. What is x rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 6:54 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 1 - (-2 + 10). Let w be -3 - -1 - q - 0. Suppose -3 = -5*j + 37. Solve a = w*a - l + j, 0 = -4*a + 4*l - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.104 - -2.104. What is the nearest to w in -2, 1, 2\/325?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(156) + sqrt(156) + sqrt(156) + sqrt(156) + (-1*sqrt(156) - sqrt(156)) + sqrt(156) + sqrt(156)))\/(sqrt(1728) - sqrt(1728)*2).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000014680241 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.11294593 + 2?\nAnswer: 3.11294593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 + 105. Calculate the remainder when 47 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.152 - -13.548. Let i = j + -13.2. What is the closest to 1 in 4, 0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a028500 - -6?\nAnswer: 1a028506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1823 is divided by 1719.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 648200627 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 372*z - 1505. Calculate m(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/7)\/((j\/j**(1\/4)*j*j)\/j) assuming j is positive.\nAnswer: j**(-61\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 1\/20, 1\/4, 49, 3, -0.5 in decreasing order.\nAnswer: 49, 3, 3\/7, 1\/4, 1\/20, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpf when three letters picked without replacement from {a: 1, c: 4, p: 1, f: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 12*z**5 - 98108*z**4 - 98120*z**3\/3 + 65408*z**2\/3 = 0.\nAnswer: -2\/3, 0, 1\/3, 8176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*u + 2*u = 5715, -5*u = -d + 1922. Suppose -9*n - 134 = -d. What are the prime factors of n?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3, -5*w + 2*p + 196636 = 25788. Suppose -m + w = 7360. Suppose -289190 = 4*f + m. Round f to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.517293 - 2118998\nAnswer: -2118998.517293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/25676 and 45\/10388?\nAnswer: 1360828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 1:46 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11180 and 4096560.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108172365 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3456832 at most as big as -3456831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2635*g*i - 2459*g + i**4 + 1 with respect to i.\nAnswer: -2635*g + 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -2*x - 0*x. Let l = x - -35. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 17) + 25\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 310, 655, 1108, 1657, 2290?\nAnswer: 2995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/18 in 38, 5\/6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -40\/19*r**2 - 16\/19*r**3 - 32\/19*r + 0 - 2\/19*r**4 = 0?\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s + 0*s + 2 - 4*s - s**2. Suppose -7*y + 4 - 18 = 0. Let d be l(y). Solve d*i = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**2 + 2*p + 18. Let d(s) = 8*s + 9. Let n(k) = 2*d(k) - 9*w(k). Let g(y) = -8*y - 3. Calculate g(n(h)).\nAnswer: 16*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 8:28 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -22*r + 397. What is the tens digit of b(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4534 + -2402. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -266072\/5 - -474672603\/8920. What is the common denominator of m and 103\/20?\nAnswer: 8920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-2)\/18)\/((8\/(-1080))\/(331\/1986))\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -43 in descending order.\nAnswer: -1, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5922 and 18?\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 44*h - 40*h = 939088, 5*t - 9*h = 1565037. Round t to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1036 + -556. Suppose 4*m + 2*m = s. Calculate the remainder when m is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 204*v**2 - 5525*v**2 + 446*v**2 + (4*v**2 + 2*v**2 - 5*v**2)*(4 - 2 - 4) + v**2 + 1 - 1 - 3*v**2 + 8*v**2 - 3*v**2.\nAnswer: -4874*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -340 - -625?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 112.5671042 and 53?\nAnswer: 59.5671042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erwemiree. What is prob of picking 1 w and 1 e?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 4 (b) -3\/4 (c) -2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 - 11*o**3 + 2 + 24*o**3 - 11*o**3 - 5*o**3 + 4*o**4 as a + c*o**2 + m*o**3 + u*o + w*o**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 - 61 - 55)*(-3*f**2 + f**2 + 0*f**2) in the form b*f**2 + w + j*f and give b.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2146, 2144, 2142?\nAnswer: 2140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10549980, -42199921, -94949824, -168799689?\n\"Answer: -10549981*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -486 - -516. Let k(g) = g - 9. Let r be k(13). Suppose -q + 6*q - 121 = b, 0 = r*q - 5*b - 101. What is the least common multiple of j and q?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15623 (base 7) in base 12?\nAnswer: 268b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/5687774 and 45\/22?\nAnswer: 62565514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 + 10123?\nAnswer: 10232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 369*n**2 + 299*n - 26367. What is g(-370)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 3*h**2 + 2*h**5 + (2 - 2 + 2*h**2)*(-2*h**3 + 0*h**3 + 0*h**3) - 4*h**5 + h**5 + h**5 + 2252*h + 2*h**5 + 365*h + 498*h - h**2.\nAnswer: -2*h**5 - h**2 + 3115*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**2 - 3*u. Let a(z) = z**2 - z. Let g(v) = -6*a(v) + h(v). Give g(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15513439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 1, 0.4, 3, 73, 0.0779?\nAnswer: 0.0779","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001133 (base 4) in base 16?\nAnswer: 105f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d + 8 = 2*k, 2*k = 5*d + 5. Let u = -12 + 86. Suppose u = -k*o + 399. Is 27 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 104.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2142.3?\nAnswer: 2142.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 12:31 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-80)\/24*(-6)\/4. Suppose t*j + 260 - 2395 = 0. What are the prime factors of j?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -1898 + 1896. Let f(a) = 5311*a**2 - 6*a - 2. Let h be f(-4). Let p be (r - h)\/((-2)\/(-120)). Round p to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 + 22*x**2 + 47*x - 271. Let k be n(12). Determine q, given that -242\/7*q**k + 0 - 88\/7*q**4 + 234\/7*q**3 + 88\/7*q**2 + 8\/7*q = 0.\nAnswer: -1, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**2 + 5*t - 2. Let i(j) = -4*j**2 + 7*j - 2. Determine -2*i(w) + 3*u(w).\nAnswer: -4*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70448 - -70439.60025. Let f = 8.4 + z. What is f rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1440.9 to the nearest integer.\nAnswer: -1441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**3 + 189*m + 4*m**2 - 182*m - m**2 + 0*m**2. What is the hundreds digit of l(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4868*d - 232 + 412 - 178 as s + j*d and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, -6545, 1, 5 in increasing order.\nAnswer: -6545, -0.1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 922, 6099, 14748, 26875, 42486, 61587?\n\"Answer: u**3 + 1730*u**2 - 20*u - 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3810000 and 24?\nAnswer: 3810000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) - 7\/(-4). Let m = -41.55 - -42. Let u = m - 0.54. What is the closest to -1\/3 in u, t, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4065688 (base 9) in base 12?\nAnswer: -8874a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 2*w**2 - 3*w + 2. Let o be t(3). Suppose 13 + o = 3*g. Let v = -2\/15 + -1\/5. What is the closest to 1 in g, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2606.\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2 = 4*r, -2*r + 6 = 3*d - 2. Suppose -62 - d = 2*z. Let y be ((-12)\/z)\/(-3)*2. Which is the closest to 0? (a) y (b) 4 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**7\/315 - 11*u**5\/120 - 3*u**4\/4 - 10*u. Let f(a) be the third derivative of b(a). Differentiate f(q) with respect to q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20111 - 19407. What is the greatest common factor of 726 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -789 smaller than -2363\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 22.7. Let q = u - -0.3. Let j = 5.5 - 6. Which is the closest to q? (a) j (b) -0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427876483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, -4, 65, -31\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 27*n**2 - 18*n. Let x(p) = -27*p**2 + 16*p. Calculate 6*w(b) + 7*x(b).\nAnswer: -27*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.499 minus 1.223?\nAnswer: -0.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.207731um to millimeters.\nAnswer: 0.000207731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h**2*i**2 + 300*h**2*i*p + 53*h*p + 3*i**2 + 3*i*p - 3*i + 8944 wrt h?\nAnswer: -6*h*i**2 + 600*h*i*p + 53*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/36 and -125\/259344.\nAnswer: 259344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*i**2 - 346*i + 3320 wrt i?\nAnswer: -74*i - 346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-75)\/100 - 21*1\/4. Is 10 a factor of (-2)\/t - (-7365)\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1133120 + 211312?\nAnswer: 2011032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -7*j**3\/5 - 4091*j**2\/5 - 45792*j\/5 + 27504\/5 = 0.\nAnswer: -573, -12, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-7)*m)\/m**(9\/4))**(-30\/7))**(-1\/2) assuming m is positive.\nAnswer: m**(-435\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -138 - -58. Let u be ((-18)\/21)\/((-2)\/(-14)). What is the remainder when w\/u + (-3)\/9 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6*c = -5. Solve -c*d - 4*n - 8 = 0, -n + 6*n + 10 = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 6*q - 5. Let v be n(2). Suppose x + 2*w = 10, 0 = v*x + w + 4 - 19. Suppose 0 = r + x*r + k - 12, 4*r + 5*k = -3. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**5\/20 + j**4\/12 - j**3\/6 - j**2\/2 + 2*j + 82. Let b(p) = 4*p**3 - 5*p**2 + 7*p + 5. Give b(d) + 5*r(d).\nAnswer: -d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12 + 0 = 0. Suppose -4*a = -2*a. Suppose a*k + h = 4*k - 87, s*h + 18 = k. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v. Let z(y) = 4*y + 15. Let c(x) = -5*d(x) + z(x). Let t be c(12). Suppose -9 = t*j - 45. Calculate the greatest common divisor of j and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20834 + 20897. Calculate the remainder when 1824 is divided by t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101576887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2784 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -x - 0*x - 104, -3*r + 418 = -4*x. Let u = 110 + x. What is the hundreds digit of (0 - 1)*1*-241 - u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68198\/15, 5, -0.7, 128 in decreasing order.\nAnswer: 128, 5, -0.7, -68198\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v + 34. Let d be h(-10). Let j(n) = -n**2 + 6*n. Let k be j(d). Suppose -4*g - k = -16. Solve 6 = g*x - 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from {l: 5, k: 2, h: 8, d: 2}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q + 20*q - 201 = 71 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116219\/18 - -6450. Calculate the common denominator of o and 81\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2. Suppose 5*b + 5*t = 45, 9*t = -3*b + 4*t + 37. Let w(o) be the third derivative of 0 + 0*o**3 + 1\/24*o**b + o**2 + 0*o. Determine w(f(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((149942 + -6)\/8)\/(10\/25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -368714 >= -368703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3258890 - 2151244. Let n = t + -1107687.999968. Let u = n + 42. Round u to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 63*j + 178. Calculate n(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 x when three letters picked without replacement from dxlxdfo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9002 less than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13203 (base 6) in base 3?\nAnswer: -2202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747180 a multiple of 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**2 + 74*j + 22. Let t be i(15). Solve -2*p = a - 7 - 4, 0 = -3*a + 2*p - t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + 327*k**3 + 311 - 311 + 53*k**3 + 2*k**2 to the form f*k + c*k**3 + o*k**2 + d and give c.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*n - 2*n + 2*n)*(2*n + 42 - 42 - n**3 + n**2) in the form y*n**4 + l*n**3 + x + z*n**2 + f*n and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.153 - 0.147. Let y = p - -12. Do y and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 34 = -6*j. Find the first derivative of -157*f + j - 88 - 232*f + 481*f wrt f.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 5\/12*n**3 - 20*n + 0 + 1\/6*n**4 - 1\/2*n**2 - 3\/40*n**5. Determine u so that q(u) = 0.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 20 = 0, -4*h = 2*v + 3*v + 84. Let b(q) = q**3 + 3*q**2 - 4. Let s be b(-3). What is the tens digit of h\/(-3)*(-9)\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 3:59 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -1630383934260.\nAnswer: 1630383934259.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwccwwccwwcwwccw. What is prob of picking 1 w and 2 c?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 12:11 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**5\/20 + 5*i**4\/12 + 4*i**3\/3 + 2*i**2 - 432*i + 1. Suppose 0 = -3*h + 2*b - 3*b + 18, -4*h = 5*b - 24. Calculate t(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93525 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Find l, given that 0*l**2 + 48 - 24*l + 3*l**2 + 0*l = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6563?\nAnswer: 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/11, 0.03?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + x = -b - 13, -47*b + 52*b + 178*x = -717 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*z**3 - 180901*z**2 - 23579647*z wrt z.\nAnswer: -168*z - 361802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/7)\/c)\/c)**(-2\/51)*(c*c*c**(-2\/9))**(-44) assuming c is positive.\nAnswer: c**(-83704\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/6*(-2424)\/2880. Let r be ((-118)\/(-12))\/((-5)\/(-3)). Let h = p - r. What is the common denominator of h and -37?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -25. Let t(b) = b**2 + 6*b - 9. What is the lowest common multiple of 4 and t(i)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*3*9\/(-18). Suppose -p + 5*p - 100 = 0. Let f = p - k. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) - ((-4*1*sqrt(120) + sqrt(120) - sqrt(120)) + sqrt(120) + sqrt(120)))\/sqrt(10))\/(-4*sqrt(72)\/(sqrt(48)\/sqrt(4))).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1467008, -1467078, -1467148, -1467218, -1467288, -1467358?\n\"Answer: -70*o - 1466938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*n = 164*n - 91872. Calculate the remainder when n\/(-176)*(-1 + (-2)\/2) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 + 0*q**5 + q**5 + (2 - 2 - q)*(-q**4 - 5*q**4 + 5*q**4) + (-12*q - 2*q - 26*q + (-2 - 2 + 23)*(-q + 3*q - 3*q))*(2*q - 1 - q**4 - 2*q).\nAnswer: 58*q**5 + 59*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -602\/5 - -120. Suppose 5*x - 64 = x. Let b be 10*(-2)\/x*1. Sort 3, -1, h, b in descending order.\nAnswer: 3, h, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -20. Let b(f) = -f**2 + 7*f. Is 10 a factor of b(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 13*k - 25. Does 4 divide u(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 5 - (20 - 0)) + 100 + -104.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -627225a (base 11) in base 14?\nAnswer: -167b6c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-4)*(-16)\/160?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97 - 69. What is the greatest common factor of k and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1500256\/176 + (-6)\/33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305315 is divided by 16961?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9044896?\nAnswer: 2, 7, 149, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 + -98. Let u be 196\/91 - (6\/v + 4). Factor 0 + u*i**2 + 2\/13*i.\nAnswer: 2*i*(i + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**5\/d*d*d*d**1*d*((d\/(d*d**5))\/d)\/(d*d**(2\/15))*((d\/((d\/(d**(1\/6)*d))\/d*d*d))\/d**(1\/3))**(-1\/9) assuming d is positive.\nAnswer: d**(509\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152181.\nAnswer: 3, 37, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1286367250?\nAnswer: 2, 5, 7, 735067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65\/2 - -33. Let s = -20194.05 + 20194. Let i be (-2*(-2)\/22)\/2. Which is the second smallest value? (a) 2 (b) s (c) v (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to -957\/250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718323 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2abd4 - 3?\nAnswer: -2abd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*sqrt(187)*2)\/sqrt(11).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (0 + 0)) + 4. Suppose 5*o - 10 = 10. Suppose -o*i + 2*c + 32 = 0, y*c - 33 = -5*i + c. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2245, -2249, -2253, -2257, -2261?\nAnswer: -2265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1063, 0.2, -0.2, 1\/4, -5 in increasing order.\nAnswer: -1063, -5, -0.2, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -19*g**7\/70 - g**6\/120 - 11*g**5\/60 + g**4\/24 - 8*g**2. What is the third derivative of l(h) wrt h?\nAnswer: -1368*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31265?\nAnswer: 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 1007\/277?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) + (sqrt(34) - sqrt(68)\/sqrt(2)))\/sqrt(2) + -1 + sqrt(17) + 0 + -4*sqrt(136)\/sqrt(32))*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 597 divide 11421144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -535 - -1067. Is 28 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11427986 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.1 - -0.1. Let l = i + 7. Is 0.1 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76396169 and 43130.\nAnswer: 4313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53051778?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 + 10*d - 49)*(3*d**3 - d**3 - 3*d**3) + d**4 + d**4 - d**4.\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**4 - z**4 + 2*z**4 + (2*z - 3*z + 3*z)*(-5*z**3 + 3*z**3 + 4*z**3) + 14*z**4 + 102*z**4 + 124*z**4.\nAnswer: 242*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -77678.271316 from -27.\nAnswer: 77651.271316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuu when three letters picked without replacement from {u: 2, z: 3, y: 1, p: 4}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4*t + 7)*(-3*t + 4*t - 1 - 6)*(-46 + 46 + 23*t + (2 - 2*t - 2)*(2 + 3 - 3) - 3*t + 2*t - t + (2*t + 3 - 3)*(1 + 0 - 2)).\nAnswer: 60*t**3 - 420*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-72)\/192)\/(3\/10)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2420, 21278, 72464, 172142, 336476, 581630, 923768?\nAnswer: 1379054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.138 and 29977?\nAnswer: 29977.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 23. Which is the third smallest value? (a) j (b) 0.3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 957.1285l?\nAnswer: 957128.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 119513 to the power of 1\/2, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27425203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 190*z**2 + z - 1. Let r be (-1)\/4 - 102\/(-24). Let q be 4*1\/r*-2. Is m(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3245\/7 - 463. Which is the second biggest value? (a) h (b) -2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*a**3 + 4 + 31*a**3 - 1 + a)*(3 + 2 - 4 - 1 + 2 - 3 + (-2 - 1 + 4)*(-4 + 5 - 2) + 1 + 1 - 3) to the form c*a**3 + s*a + j*a**2 + w and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -5, 7\/72, 0.07, 4?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5)*1\/2)\/(1246449\/6525 - 191).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - -37)*(14 - 1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0527142 to three dps.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -29.99 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 9 = -115. Find g, given that -5 + 38*g**2 - 111*g - 37 - x*g**2 = 0.\nAnswer: -7, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q + 2*q)*((3 + 4 - 3)*(-5 + 1 + 2) + 5 - 2 - 5 - 52 - 52 - 27)*(q**3 + q**3 - 10*q**3).\nAnswer: 2256*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 24913.17?\nAnswer: -4982.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 87234*g**2. Let s(n) = 2143*n. Give i(s(y)).\nAnswer: 400617696066*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 727 = -763 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-4 - -16 - 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 263074565 and -0.06.\nAnswer: 263074564.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 4*d - 368, -2*d = -a + 3*d + 91. Suppose -4*h + a = 3*q, -3*q - 2*q = h - 155. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -549 + -571. Let h = -1132.61 - f. What is h rounded to 0 decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - 14) + -7 + 8. Let j(o) = -15*o**2 - 15*o - 132. Let u be j(i). Is -582 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257493 is divided by 154.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 12 = -0*d. Suppose -3*a - 3 = -0. Let y be (-5 + -2)\/(-1) - a. Calculate the greatest common factor of d and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3555, 7280, 11009, 14748, 18503, 22280?\n\"Answer: l**3 - 4*l**2 + 3730*l - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6)*(6 + -3). Let y be (4 + -8)\/(2 - 0). Let b(c) = -2*c + 2 - 1 + c. Let q(l) = -l + 1. Calculate j*q(x) + y*b(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 - 2*p. Let j be d(2). Let v = -7 - j. Calculate the greatest common factor of 25 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114331008 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2157 = -63*g + 1590 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*s - 73*s + 4*b = -86, -2*s = 3*b + 40 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a hour in seconds?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1169448 is divided by 5490.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 - -33. Let w = 154 + r. What is the highest common divisor of 30 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33200 (base 4) in base 13?\nAnswer: 5b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 6*b + 61*b = -864 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 351532.\nAnswer: 351532","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -411.5 + 384.551. Round k to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20806246 divided by -12139.\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(4\/15))**(10\/13)*(y**(-2\/9))**(-49) assuming y is positive.\nAnswer: y**(1388\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -564, -1223, -2134, -3291?\nAnswer: -4688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 12*d**2 - 12*d - 7. Suppose j + 3*j - 52 = 0. Let r be c(j). Suppose 30 = r*m - 4*m. Solve -5 + m = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -880*a**5 - 4395*a**2 wrt a.\nAnswer: -52800*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-184*c - 2030*c**4 - 172*c + 336*c**4 + 356*c)*(-3*c + 2*c - c).\nAnswer: 3388*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63 - 213*b**5 - 4*b + 7 + 2*b + 0*b - 29*b**5 wrt b?\nAnswer: -4840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + u + 3. Let f(d) = -d**2 + 2*d + 2. Let k(r) = 5*f(r) - 6*l(r). What are the prime factors of k(7)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-32))\/((-1)\/4). Let m(y) = -18*y**2 + y + 1. Let q(a) = 72*a**2 - 5*a - 5. Let g(h) = -9*m(h) - 2*q(h). What is the units digit of g(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*g - 48 = -123, 2*l + g + 50 = 0. Sort l, -1, 2 in increasing order.\nAnswer: l, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**4 + 621*x**3 + 31155*x**2 - 105525*x - 330750 = 0.\nAnswer: -105, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5684\/(-294)*-381*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.3? (a) 0.08 (b) 8\/277 (c) 0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 3 in increasing order.\nAnswer: -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*z + 70, -r - 163 + 128 = -4*z. Solve -b - z = 0, 0 = -5*x - 5*b + b - 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (121\/(-33) + 0)*3. Put -4, 10, 4, p in increasing order.\nAnswer: p, -4, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 7, j: 4, u: 2, l: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6 and -434.\nAnswer: -694.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598806?\nAnswer: 2, 3, 13, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 66 (b) 0.2 (c) 1\/2042\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72634 by 46.\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4e (base 15) to base 8.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -557*b + 112*b + 180*b + 64*b. Let c(i) = -6*i. Calculate n(c(v)).\nAnswer: 1206*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4) - 800\/896.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Suppose -5*y = -3*t - 4, t + 2*y - 7*y + 8 = 0. Let v(i) = -i - 1. Let k(z) = 2*z + 1. Let a(q) = -5*k(q) - 4*v(q). Give t*a(x) + 14*h(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 5*j = -9. Suppose j*v + 2*v = 0. Let t be 4*(-4 - (-69)\/18). Which is smaller: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -92\/3. Let q = -2857 - -2857. Which is the third smallest value? (a) -4 (b) q (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 498975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-10 + 2 - (31 - 45)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 1, d: 8, w: 6}. What is prob of picking 1 w, 1 a, and 1 s?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 167.5811 and 4?\nAnswer: 670.3244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-72)\/40 - 6\/(-20). What is the second biggest value in p, -0.0617, 5?\nAnswer: -0.0617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 9:17 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -25, -5, 23, 59, 103, 155?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*c + 8 = -33*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29b8b17 (base 12) to base 14.\nAnswer: 11a1391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.983282 - -0.037718. Let a = f + -32. Let p = -0.021 + a. Sort p, 5, 2 in decreasing order.\nAnswer: 5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-2))\/(1\/(-8)*4). Suppose -3*d = -15, -2*d + 185 = w*f - 5*d. What is the smallest common multiple of 4 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 141, 5, 2\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 21*z + 4. What is i(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 10. Let m be l(-11). Let k(f) = 4*f - 1. Let v be k(m). Suppose 0 = -0*d - 4*d + 2*g + 436, -v*d - 3*g + 345 = 0. List the prime factors of d.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71 or -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96 - 40. Let u be (196\/k)\/((-7)\/(-6)). Solve -5*o + 2*c = 3*c, -u*o + 12 = 3*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-10)\/14) + 164\/(-14). Let l(t) = t**2 + 12*t - 4. Let c be l(i). Let p(q) = -4*q**3 + 4*q**2 - q - 7. Is p(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*(-69)\/598?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8787744 to the power of 1\/2, to the nearest integer?\nAnswer: 2964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1762014?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11860347 and 14064.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8381 = -5*l, 2*l - 10489 = -3*m - 2*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143029 + -26318. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**8\/2016 + a**6\/90 - a**5\/30 + 4*a**2. Let x(j) be the third derivative of d(j). Differentiate x(h) with respect to h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 16. Calculate the lowest common multiple of 2 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2154 + 2154 + 2722*q as j*q + u and give j.\nAnswer: 2722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 268 and 6834.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 + 1106*d + 2205. Give q(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483802 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 672*j - 1329. Let c be u(2). Let -33\/2 + 3\/2*t**2 + c*t = 0. Calculate t.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/3916 and -81\/14?\nAnswer: 27412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -4, -23, 2 in increasing order.\nAnswer: -23, -5, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2. Let m(n) = -6632*n - 5763*n - 11459 + 11459. What is s(m(g))?\nAnswer: -307272050*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829282196?\nAnswer: 2, 5179, 40031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i - 200. Suppose 0*k = -5*k + i. What is the remainder when -4*190\/(-40) + 4 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 551344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*1162\/830\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4635 > 4636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 932, 883, 832, 779, 724, 667, 608?\n\"Answer: -x**2 - 46*x + 979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d**3 - 15*d**3 + 33*d**3 - 523.\nAnswer: 2*d**3 - 523","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -770.222 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 4, -12 in decreasing order.\nAnswer: 6, 4, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34245*y**3 - 2*y**2 - 34226*y**3 + 2*y**2.\nAnswer: 19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 + 0*k**3 + 11*k - k**2 - 3*k**2 + 5*k**2 to the form i*k + j*k**2 + h + z*k**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28496 and 1537432?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66862 - 66832.1498. Let v = h - 29.8. What is v rounded to 3 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 4*f + 11, 3*l - 5*f - 11 = 24 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89729 - 9511203\/106. Find the common denominator of q and 61\/4.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 33 + 11 = 0. Calculate the highest common factor of 77 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-48))\/(1\/2 - 1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 12*v**2 + 6*v + 1. Let n(l) = l**2 + l + 1. Let u be n(2). What are the prime factors of o(u)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(720) + 3) + -1)**2 + (1*sqrt(80)\/sqrt(2))\/(sqrt(72)*2).\nAnswer: 4321*sqrt(5)\/6 + 6580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0031 times 6?\nAnswer: 0.0186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2781*q**2 + 13920*q - 75 = 0.\nAnswer: 5\/927, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v. Let b(l) = -2*l - 5. Let o be b(-6). Let h(z) = -7 + z**2 - o + 14. Determine h(k(d)).\nAnswer: 121*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.113 times 0.12?\nAnswer: -0.01356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 73287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14250 divided by -2850?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-2)\/10 + (-1269)\/180 + 9.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 83*a**3 + 5*a - 5. Let l be v(1). Let u = -73 + l. Calculate the greatest common divisor of u and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1152) - (-3 + sqrt(1152)*-1 - sqrt(1152))**2) + (sqrt(18) + -2 + -5)**2 + sqrt(18) + sqrt(36)\/(3*sqrt(2)) + sqrt(18).\nAnswer: -4545 - 299*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p - 34 = 22 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = 2. Let h(i) = 2*i + 26. Let p be h(w). Solve 5*q + 5*s + p = 0, -q = -0*q - 4*s - 21 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + 1 + sqrt(1100) + -4)*-3 - (3*(sqrt(132) - (sqrt(132) + sqrt(132)*2)))\/(2*sqrt(12)*3))**2.\nAnswer: -1062*sqrt(11) + 38372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8700988 divided by -6\nAnswer: 4350494\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20229286 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 830038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 86*2.09153\nAnswer: 179.87158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -322, 292, -8 in decreasing order.\nAnswer: 292, -8, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/7 and ((-38)\/(-4) + -3)*(-7)\/5?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2694\/18 - 2*2\/6. Suppose -4*m = -4*r + 580, -3*m = -r + m + 130. Let k = n + r. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -2*r + 0 + 0*r**2 + 0*r**3 - 5\/6*r**4. Let a(x) = -2*x**2. Give c(a(f)).\nAnswer: -40*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/10 - 1\/2. Let j = 2.08 + -4.08. What is the closest to j in d, -0.8, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6\/41 - -52\/205. What is the nearest to 0 in b, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 562600448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 < -0.0863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/28 + 2)\/((-24)\/(-676)) + -8?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 8*f - 4*f - f + 4*f + 5 - 2*f. Let u(g) = -11*g - 9. Give 6*u(y) + 11*z(y).\nAnswer: -11*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -110284*r + 6065606. What is b(55)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301\/42 - 295\/(-12390)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 444, -115, -1 in decreasing order.\nAnswer: 444, -1, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83.43 - 85.43. Let t = 2 - -2. Which is the closest to 2? (a) s (b) 11\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4392.14112 + -4392. Round u to 3 decimal places.\nAnswer: 0.141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76299995*i**2 + 2*i + 52884051 wrt i?\nAnswer: 152599990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 947150 to the power of 1\/2, to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -195 - -240. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 20*v + 93. Let o be h(-7). Which is the third smallest value? (a) -0.3 (b) -3\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - (2 - (-1 - 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 137.08 * -2\nAnswer: -274.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 988?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 476, 25, 2, 5, 1, -0.2, -1\/2?\nAnswer: 476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 3)*(8*a - 53*a + 22*a) + 16*a + 16*a - 21*a.\nAnswer: 80*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001101 + -100100000?\nAnswer: -110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*sqrt(76) + sqrt(76))\/(sqrt(20)\/sqrt(45)).\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -19.68?\nAnswer: 39.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107582039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35136240 and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5 - 1602*o**4 - 14742*o**3 + 42996*o**2 + 535059*o + 478926 = 0 for o.\nAnswer: -7, -1, 6, 543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 121 and -3235 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-92)\/(-230) + ((-8)\/(-10))\/(-2). Let g(o) be the first derivative of 3\/4*o**4 - 4 + u*o + 0*o**2 + o**3. What is the third derivative of g(k) wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208460a (base 11) to base 7\nAnswer: 43106644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22369, -22377, -22391, -22411, -22437, -22469, -22507?\n\"Answer: -3*o**2 + o - 22367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8180584?\nAnswer: 2, 1022573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 25*w**2 - 3 + w - 1 + 6. What is the tens digit of y(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(110) + 1*sqrt(110) + sqrt(110))*4)\/sqrt(10) + sqrt(77)\/(sqrt(7) + sqrt(175)) + (-1 + sqrt(11))**2*-4.\nAnswer: -167*sqrt(11)\/6 - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 5*m**2 + 4*m + 1. Let s be i(4). Calculate the lowest common multiple of (6\/s)\/(6\/4) and -2*5*60\/(-75).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2 + 5863*m + 457380 = 0.\nAnswer: -77, 5940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38\/21 + 8\/7. Which is the closest to 1? (a) 5 (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-8)*(-4)\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2 - 3) + 1 + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21219 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 9 = -5*y, -35 = -4*r + 2*y - 37 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 704 and 332880?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*9\/12 + (0 - -1)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b + 1\/2*b**2 + 0. Let y(d) = -53 - 2*d + 53. What is -n(f) + y(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3\/15 - 5072*r**2\/15 + 3386*r\/5 + 5076\/5 = 0.\nAnswer: -2538, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 - 338*i - 5553. Calculate q(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f - 10*f**4 + 7*f**3 + 111 - f**3 - 3*f**2 - 225 + 112 - 5*f**3 in the form w*f**3 + b*f**2 + i + p*f**4 + r*f and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/19, 7\/6, 102, -2\/7, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16350779?\nAnswer: 719, 22741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = -4*a - a. Suppose a = -4*u + 160 + 44. What is the greatest common divisor of u and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-54)*2*(-12)\/4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-4)*36\/30. Suppose -c*q + 1 = -5. Let g(a) = -5*a - a**2 - 8 - q*a + a. Give g(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c - c)*(1 - 1 + 3) - 7*c + 6*c - c - c + 0*c - 3*c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 239 + -239.14. Which is the nearest to -1\/2? (a) s (b) 5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 110322125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88182 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17\/429 - 0\/(-2). Let s = q + 2\/39. Let j = 349\/4 + -88. Which is the second biggest value? (a) j (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115298596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 13. What is g(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -104 greater than -52855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7*c**2 - 2)*(7*c + 9*c + 18*c).\nAnswer: -238*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*i + 45 = 0, -3*i - 6 - 49 = -4*v. Suppose -6 + v = 2*b. What is the fourth smallest value in 0, b, 1.5, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 15*b**3 + 2*b + 4. Let y be s(-3). Let t = -4891\/12 - y. What is the common denominator of t and -79\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 34, -36, 1, -38 in descending order.\nAnswer: 34, 1, -3, -36, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**5 - 575*w**4 - 11525*w**3 - 90125*w**2 - 296450*w - 315560 = 0.\nAnswer: -92, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0.4. Let h = 1.4 + a. Let q = 0.3 - h. Sort q, 4\/7, -2 in decreasing order.\nAnswer: 4\/7, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3)*d)\/d)**(-2\/19)\/(d*d**6\/d*d\/((d**4\/d)\/d)) assuming d is positive.\nAnswer: d**(-287\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12333, -24627, -36887, -49083, -61185, -73163?\nAnswer: -84987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 54569554?\nAnswer: -54569554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is c8d (base 16) in base 4?\nAnswer: 302031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*j + 296 = 241*j - 3*o, -4*j - o = -280. What is the remainder when j is divided by 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 4 = -10*v. What are the prime factors of (-177)\/12*1*v?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0488 and -1.3226?\nAnswer: 1.3714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and -14.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**2*g)*g*g*g\/g**(2\/9))\/(g**(-1\/3)*g\/g**(-2\/5))*(g**2*g**0\/g)**(-30) assuming g is positive.\nAnswer: g**(-1363\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*w + 695*w**2 + 46*w + 993*w**2 - 5514 with respect to w.\nAnswer: 3376*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/2))**15*(q*q**(30\/7))\/(q\/q**40))**(-17) assuming q is positive.\nAnswer: q**(-12325\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 8 + 0*a - 3*a**3 - 9\/5*a**5 + 0*a**2 + 0*a**4. Find the third derivative of l(i) wrt i.\nAnswer: -216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 720693?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + -1*sqrt(99)*1 + 2.\nAnswer: -3*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/580 and 115\/696.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 5 + sqrt(11) + -3)**2 + (sqrt(11) - (sqrt(1584) + 1)) - (0 + (sqrt(704)*2)**2 - 1*(sqrt(704) - (sqrt(704) + -2 + sqrt(704) + sqrt(704)))).\nAnswer: -2767 - 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9 = -4. Suppose -2*x + 434 = -5*n + n, 5*x - 2*n - 1117 = 0. Suppose -3*q = 2*q - x. What is the greatest common factor of u and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5)*((t*t**(-2)\/t*t*t)\/t)\/t)**10*(t\/(t*((t**(-5)\/t*t)\/t)\/t)*(t\/t**(-3))\/t)\/(t**(-2)*t**6) assuming t is positive.\nAnswer: t**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)*-2 - sqrt(100))*6*4)\/((sqrt(280)\/sqrt(7))\/sqrt(8) - (sqrt(5) - 2*sqrt(5))*1).\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b + 31 - 15 - 18)*(-500*b**2 + 223*b**2 - 10*b + 2 + 254*b**2).\nAnswer: -184*b**3 - 34*b**2 + 36*b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/1330 and -75\/28000588.\nAnswer: 2660055860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5\/3 - 12*v**4 - 80*v**3 + 1600*v**2\/3 = 0. Calculate v.\nAnswer: -20, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -0*y + 800. Suppose -2*u - 3*u + y = 0. Suppose 2*h - u = -2*h. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o - 80*o**2 - o - 7*o + 2*o in the form m*o**2 + l*o + p and give m.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 5*i + 40. Let b be u(4). Solve -n - 2*y = 2*y + 11, b*n = 4*y - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 1364?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 - 4*q**2 - 4*q**2)*(2*q**2 - 4*q**2 + 4*q**2) + (-2*q**3 + 4*q**3 - 7*q**3)*(-3*q + 3*q + q) - 154*q**4 - 48430*q**3 + 48430*q**3.\nAnswer: -167*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o + 1802 = -s, 4*s - 1095 = -3*o. Let u = o + 467. What is the highest common divisor of u and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 772487, 772556, 772675, 772844, 773063, 773332?\nAnswer: 773651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 23*t + 21. Let k be u(21). Let g be 1\/3 + 42\/k. Which is greater: g or 1\/51?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.05 + -0.05. Let h = -68 + 77. Sort q, 1, h.\nAnswer: 1, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*a - 304, -3*i - 2*i - 4*a = 1665. Let d = i - -463. Calculate the remainder when d is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b**2 - 9*b + 45. Let v(f) = 2*f**2 + f - 5. Let u(a) = s(a) + 9*v(a). Let l(p) = -2*p - 4. What is l(u(h))?\nAnswer: -24*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3960 and 13564890.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00366406315 rounded to four decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 13, t: 3}. What is prob of picking 3 t?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -189 - -347. Let a(c) = -46*c - 1222. What is the remainder when b is divided by a(-27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -10. Let p(c) = -c**3 - 3*c**2 + 6*c + 5. Let r be p(s). What is the highest common divisor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.22 - -0.12. Let a = -895 + 895.05. What is the biggest value in w, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 - 2 - -2 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 10*v**2 - 11*v + 5. Is 21 a factor of q(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 1) + (12 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**17\/((i*i**13)\/i)*((i*i**(2\/23)*i)\/i*i)**(-20) assuming i is positive.\nAnswer: i**(-868\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6042 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: Calculate prob of sequence ol when two letters picked without replacement from {l: 2, o: 10, x: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 5471 + 830 = 0. Suppose 7*b + j + 345 = 0. Let a be b\/(0 - 15\/10). Which is smaller: a or 97?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 4*l**4 + 2*l**2 - 2*l**4 - l**4 - l**4 + (-4 - 2*l + 4)*(-2 + 2*l**3 + 2).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 + 2a9a?\nAnswer: 2abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -833 = 331*u - 262*u - 212 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 65 = -70. Let t(w) = -1 - 14*w - 5*w + 0*w. Let d be t(-1). What is the highest common divisor of n and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.1 equal to 218451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38207818\/93 + 410841. Let o = m - -8\/93. Calculate the common denominator of 36*1*2\/26 and o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, -2, 3\/8, -0.92, 0.08, 1\/2?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4) + (-30)\/(-8). Suppose -k = 3*k - 120. Suppose 5*t + k = -g + 6*g, -5*g - 3*t = 10. What is the greatest common divisor of q and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -599549, -2398007, -5395435, -9591833, -14987201?\nAnswer: -21581539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.9817 millennia to decades.\nAnswer: 198.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 4, -37, -5, -4, -1, -2\/9, -2\/5?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.832 - 1.03. Let i = -45.72 - -45. Let p = u + i. What is p rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, 0.2, 11, 40.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*-2*1\/(-2). Let z(l) = l**3 - 2*l**2 - 8*l - 1. Let o(s) = s**3 - 3*s**2 - 7*s - 1. Let h(x) = 3*o(x) - 2*z(x). List the prime factors of h(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 108703645, 217407273, 326110887, 434814481, 543518049, 652221585, 760925083?\n\"Answer: -s**3 - s**2 + 108703638*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hih when three letters picked without replacement from {i: 3, h: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-5*(-4)\/40.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (3906\/(-216) + 3)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 2*u - 2. Let t be q(4). Suppose -9 + 23 = 2*j + 2*p, -j + 3*p - 13 = 0. What is the lowest common multiple of (-214)\/t + (-9)\/(-15) and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 - 4. Let r(i) = i - 109*i**3 - 3 + 2*i**2 - 216*i**3 + 324*i**3. What is -2*g(v) + 3*r(v)?\nAnswer: -3*v**3 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 20102147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 758450818 to the nearest integer?\nAnswer: 27540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(11\/4)\/v)\/(v**7\/v*v)*(v\/v**(3\/2))\/v*v*v**(-1\/28) assuming v is positive.\nAnswer: v**(-81\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 6 - 2 - 1 + 1 + (6 - 2 - 2)*(-1 + 2 + 1))*(1 + 244*j - 2 - 239*j + (3 - 6 + 0)*(6*j - 2*j - 3*j)).\nAnswer: 12*j - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1806594.\nAnswer: 2, 3, 277, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 38*x**2 - 346*x + 5. Let b be v(-15). What is the greatest common factor of 1620 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -3\/20, -5 in ascending order.\nAnswer: -15, -5, -3\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**4 - 1140*q**3 - q**2 - 33625*q wrt q?\nAnswer: 24*q**2 - 6840*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 34 = 96. Let k be 495\/(-48)*12\/i. Let o = k + -14\/13. Calculate the common denominator of -79\/14 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 4:16 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from ffwrfefrw.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v + 78. Let d be p(-19). Let u(f) = -4*f**2 + 4*f - 2. Give u(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-12)\/(-5))\/(6\/(-180)). Let m be 2 + 32 + -2 + 6. Let x = -26 + m. What is the greatest common factor of l and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8783 or 8994?\nAnswer: 8783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16100 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3458620 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + a + 37 + 20 = 0, 2*a = -4. Let o(d) = -d**2 + 9*d + 18. Let q be o(v). Which is bigger: -7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -654 (base 7) in base 14?\nAnswer: -19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -98.3 * -56.6\nAnswer: 5563.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106.18 - -106. Put u, -0.4, 81 in increasing order.\nAnswer: -0.4, u, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -1\/2 (b) 3 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41378 is divided by 1653?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**4 - 3*d**3 + 2*d**2 + 3*d. Let f(x) = 4*x**4 + 4*x**3 - 2*x**2 - 4*x. Let v(r) = -3*f(r) - 4*i(r). What is the third derivative of v(u) wrt u?\nAnswer: 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + 0 + sqrt(612) + sqrt(612) + 4 + sqrt(612))**2 - (2 + -1 + sqrt(612)).\nAnswer: 186*sqrt(17) + 9807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 1)**2*-4.\nAnswer: -1204 - 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20583012 plus 0.9?\nAnswer: -20583011.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y - 2*y**3)*(-y**2 - 5*y**2 + 4*y**2) + (45*y**5 - 4990*y + 4990*y)*(1 - 17 - 13 - 13).\nAnswer: -1886*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8))\/((-84)\/112)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1153 = q - 2332. What is the remainder when (-14)\/(-8) - q\/(-20) is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2878 and 2740370437.\nAnswer: 2740370437.2878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -30965, 1, -13 in descending order.\nAnswer: 1, -13, -30965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 658573*a**3 - 2*a**2 + 2055397*a.\nAnswer: 3951438*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 136820 + 234?\nAnswer: 136a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14159*y**4 + 260*y**3 - 2*y + 11195252 wrt y.\nAnswer: 56636*y**3 + 780*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5374 divide 523260096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 977755?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 2, k: 2, t: 1, j: 1}. What is prob of picking 1 k and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5 + 12*l**3 + 6 - 12*l**5 - 2*l**4 + 8*l**5 + 28*l**2 + 22*l.\nAnswer: -2*(l - 3)*(l + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 8\/21*q**3 + 4\/7*q + 9\/7*q**2 - 14. Suppose v(l) = 0. What is l?\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:11 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 99966*w**2. Let n(o) = -2*o**2. Calculate n(c(z)).\nAnswer: -19986402312*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11077 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 4238 and 4216 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = -r + 2*v - 175, -3*r = 5*v + 17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 1758335.\nAnswer: 56266720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2960 divided by -2960\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 + 0.04. Let z = i - 0.56. Let t = z - -0.3. Put t, 3, -3 in descending order.\nAnswer: 3, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 32, 31, 30, 29, 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47210 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/11766 and -3\/22.\nAnswer: 129426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/34 + -49\/170. What is the closest to 1\/6 in -1, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -8\/11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpvsvsldsldsjdv. What is prob of picking 2 l?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.075 to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3191.01267 to the nearest integer.\nAnswer: 3191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -24. Suppose x - 17 = 2*s, -s + 51*x - 52*x = -2. Sort 5, s, y, 0 in descending order.\nAnswer: 5, y, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 + 0.71. Let v = -0.06 - r. Suppose 0 = -3*s - 2*l - 11, -3*l + 0*l = -4*s - 26. Which is the nearest to v? (a) -5\/4 (b) s (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19935*l - 13307*l = 669428 for l.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2\/3 + 3416*d - 51140\/3.\nAnswer: -4*(d - 2557)*(d - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1057*c - 104578. Determine i(-99).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -81\/6296 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**5\/60 + 13*f**4\/12 - 43*f**3\/3 + 48*f**2. Find the first derivative of z(g) wrt g.\nAnswer: -2*g + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2663*c**2*w**4 - 117*c**2*w**2 + c**2 - 20*c*w**2 + 4*w**6 wrt w?\nAnswer: -63912*c**2*w + 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 5, -650, -4.\nAnswer: -650, -5, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, u: 1, n: 1}. What is prob of picking 1 f and 1 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 161*n**2 + 5 - 351*n**2 + 167*n**2 to the form x + z*n + i*n**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2564 minus -0.01?\nAnswer: -0.2464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - -6a2621?\nAnswer: 6a2607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 4 - 1)*(11*h + 20 - 14*h + 0*h)*(-5*h + 8*h + 11*h).\nAnswer: -378*h**2 + 2520*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45733 divided by 17.\nAnswer: -45733\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 13*n = 14*n + 221, -b = 3*n - 41. Suppose f + 31*w - 255 = b*w, f - 3*w - 245 = 0. Calculate the smallest common multiple of 24 and f.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2263 is divided by 126?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 0, -51*r + 5*v = -48*r - 4 - 14 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a day in hours?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccp when three letters picked without replacement from tpptcppcctppt.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -53264788 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 810240 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 3*h**2 + 0*h**3 - 1\/112*h**8 - 1\/20*h**5 + 0*h**6 + 0 + 0*h**7 + 0*h + 0*h**4. What is the third derivative of l(q) wrt q?\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 - 8049*z + 27 + 30.\nAnswer: -8049*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.036.\nAnswer: 0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 157386 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3472 + 3472. Let j(k) be the second derivative of -11\/12*k**4 + h*k**2 - 8*k + 10\/3*k**3 + 0. Find the second derivative of j(z) wrt z.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4296301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 13. Solve -24 = 4*l - a, -5*l - 3*a - a = d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a - 3. Let m(o) = 0*o - 1 + 2*o + 5 + 4*o. Let k(v) = v + 1. Let y(p) = 5*k(p) - m(p). Determine -2*w(b) - 5*y(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8471 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (59\/354)\/(2\/(-6))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17652163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -63, -41, 1, 69, 169, 307, 489?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 621, 4881, 16447, 38973, 76113, 131521, 208851, 311757?\n\"Answer: 609*s**3 - s**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 + 5*c**2 + 2*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 16, -5*y = -2*y - 3*z - 48. Let m be (y\/(-100))\/((-2)\/1970). Are 196 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 9*w**2 + 0*w**4 - 10\/3*w**3 + 0*w**5 + 0 + 0*w - 7\/60*w**6. What is the derivative of v(x) wrt x?\nAnswer: -42*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477334376 + -0.14546?\nAnswer: 477334375.85454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -334 + -1?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 489.62 decades to millennia.\nAnswer: 4.8962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-308)\/28*5\/1*1. What is the closest to t in 5, -2, -0.4, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3 + 4 - 1 - q - 6. Let a(u) = -5*u + 16. What is a(j(t))?\nAnswer: 5*t + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-2)\/(-5))*1. Suppose -l*k + 2*k = 4*o + 1, -o = -3*k - 11. What is the second derivative of 2*g + 3*g**2 - 3*g**o - 3*g**5 wrt g?\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101001 - 11011010100111001?\nAnswer: -11011011011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 184691 (b) -2\/23 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102.2088096 + -102.2. What is k rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 + 32. Let t be (7 + l)\/(2\/13). What is t rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**2\/19 + 180*l\/19 - 352\/19 = 0.\nAnswer: 2, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126927, -136564, -146187, -155790, -165367, -174912, -184419, -193882?\nAnswer: -203295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**6\/120 + d**5\/12 - d**4\/6 + 7*d**3\/3 + 8*d**2. Let c be i(-6). Suppose 15 = c*j - 21. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26865077 to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1061 = 3*d + 1085 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - (9 + -11 + -10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -1\/12*j**4 - 3\/2*j**3 - 2*j - j**2 - 61. Determine v(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (176 - 30) + ((-16 - 4) + 11 - -2)?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**3\/4 = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 + x. Let u be n(-1). Suppose -u*p = -r + 33, -2*r + 2*p = -0*r - 56. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 + 4*l**2 + 7*l - 12. Let p(n) = -3*n**3 + 5*n**2 + 8*n - 14. Calculate 6*i(d) - 5*p(d).\nAnswer: -3*d**3 - d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 102332 - 0?\nAnswer: 102332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c + 78. What is the hundreds digit of k(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139652?\nAnswer: 2, 34913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/2)\/(9\/(-12)). Let p = -1357 - -1354. Sort p, b, -1 in increasing order.\nAnswer: p, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -44.4377?\nAnswer: 177.7508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39\/(-84) + 1\/(21\/(-6)). Suppose -30 = -9*w - 6*w. Suppose -w = -s, -2*s + 5*s - 6 = 5*n. Sort -3, v, n in ascending order.\nAnswer: -3, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1677496*b - 1280 = -1677528*b for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-89)\/((-9434)\/212))\/(1\/19).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -5, -1\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60794 is divided by 1561.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1. Suppose -2*v - m + 3 = 0. Let q = -3\/482 + 128\/1205. Which is bigger: v or q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 866 and 4?\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270883 is divided by 270872.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1772 and 0.88.\nAnswer: 0.7028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4 - 2, d + 3*f - 9 = 0. Find the second derivative of -6*s + 4 - d*s + s**5 - 4 wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 2:45 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 15402 = 3*k - 11*z, -k - 2*z = -5134. List the prime factors of k.\nAnswer: 2, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0.6. What is the second biggest value in -1, w, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -844*f**3 + 14*f**2 - 5*f - 12. Let a be w(-2). Calculate the highest common factor of a and 166.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -21*m**2 + 12*m**2 - 21*m**3 + 7*m**2 - m. Let h(w) = -w**2 - 24*w - 96. Let q be h(-5). Calculate c(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) -3 (c) -0.051\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88214969 at most as big as 88214969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 5*y**2 + 2. Let b be f(5). Suppose b*k - 40 = -3*i + 6*k, i - 16 = 4*k. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 13. Let s be (-1 + 30\/i)\/(4\/(-8)). Let j(f) = -f**3 + 18*f**2 - 17*f + 8. Is 6 a factor of j(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1029) - sqrt(1029)*-2*1)\/(3*(sqrt(7) + sqrt(28)\/sqrt(4)) - sqrt(49)\/(2*sqrt(7))))**2 + 2.\nAnswer: 5534\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31278 greater than 29839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 = -0. Let z be (0 - y)*(-2)\/(-4). Let t be 2\/3*(-30)\/70. What is the nearest to t in -0.4, -4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + n + 1. Let u = -2 + 0. Let h be g(u). Let z = -3 + h. Solve -t = z*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/440*11*(2000\/128)\/25?\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-91)*(-63)\/36. Let h be (9\/12)\/(6\/20). Put 1\/2, h, -2, y in descending order.\nAnswer: h, 1\/2, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 6. Let s be 3\/3*(1 + -1). Let z be o(s). Let m = -1 + z. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**1\/q))**(-1\/14))**(2\/13)\/((q**(-2\/3))**7*(q**(1\/2))**(-7\/3)) assuming q is positive.\nAnswer: q**(3179\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1036 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**5\/60 + 7*r**4\/24 + r**3\/3 - 4*r**2 + 8*r. Let h(l) be the first derivative of j(l). Calculate h(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4356841*b**3 - 3*b**2 + 115*b + 7060.\nAnswer: 26141046*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34.5 - 35. Which is the closest to -2? (a) 1\/2 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6196, 32, -4, 3 in decreasing order.\nAnswer: 32, 3, -3, -4, -6196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 - 28*s + 18*s - 28*s)*(s**2 + 2*s**2 - 2*s**2 - 5*s**2 - 4*s**2 + s**2 + (-s + 2*s - 3*s)*(-2*s - s + 2*s)).\nAnswer: 15*s**5 + 190*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**7\/35 - 34*u**6\/225 - 14*u**5\/75 + 4*u**4\/45 - 261*u + 308. Let d(z) be the first derivative of i(z). Solve d(o) = 0.\nAnswer: -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from {o: 1, x: 1, n: 1, p: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7488 divided by 192.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 171 = -111. Let p = 49 + -22. Calculate the remainder when p is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-100)\/350 - (1 - 720\/21). Solve -w*l - 114 = 84 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 162*t + 2709. What is the tens digit of a(48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-105))\/((-41)\/(-20) - 2). Is -0.02 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 0*n**2 + 6*n**2 + 6 + n**3 + 5*n - 6 + 1. Let i be d(-4). Is (-2)\/i - 20615\/(-65) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**(-1\/3)*v*v)*v*v*v)\/(v\/(v**(2\/3)*v)))**(2\/109) assuming v is positive.\nAnswer: v**(8\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 - 5) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 3 - 3 = 0. Which is greater: 1\/48 or h?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1493*q**2 - 1477*q**2 + 2993*q**2.\nAnswer: 23*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26659, -53367, -80089, -106825, -133575, -160339?\nAnswer: -187117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43525557 divided by 3.\nAnswer: -14508519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42664, -44551, -46436, -48319, -50200, -52079, -53956?\n\"Answer: j**2 - 1890*j - 40775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 - 12*q**2 + 33*q + 27. Give k(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - 4*sqrt(448)) + sqrt(28) + (sqrt(224)*-1 + sqrt(224) + sqrt(224))\/sqrt(8))**2 + (sqrt(224)*1*-6)\/sqrt(8) + 2.\nAnswer: -12*sqrt(7) + 4734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3112279.\nAnswer: 3112279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 10*b - 31. Let s be q(5). Calculate the greatest common factor of s and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(153)) + (sqrt(425) + (sqrt(425) - -1*sqrt(425)*-2))**2.\nAnswer: -15*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(128) + sqrt(128) + -5)**2*-2.\nAnswer: -1074 + 320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + f + 126 + 4, -5 = f. Let h(j) = -34*j + a*j + 11*j. Let p(m) = 2*m - 2*m - 5*m**2. What is h(p(v))?\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -30, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 2*c**2 + c. Let z be n(2). Let u(a) = a**z - 2*a**2 - a**2. Let h(r) = -8*r**2 + 7*r**2 - r**2. What is h(u(y))?\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*n = -267, 3*n - 809 = -3*y + 4*n. Suppose 7*r - 10*r + y = 0. Let s be (r\/21)\/(2\/840000). Round s to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -7. Suppose 9*l - 13*l = p. Solve l = -3*r - 13 - 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.42 - 10.757. What is f rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13230700 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -5. Let b be ((-9)\/2)\/(3\/(-18)). Suppose 2*n - b = -n. Calculate the smallest common multiple of a and n.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3)*(-42)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-324))\/((-11)\/(-2574))\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3) - (-102)\/18. Factor 0*q**4 - 4*q**4 + 4*q**2 + 4*q**n + 12 - 12 - 4*q**3.\nAnswer: 4*q**2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10954*h - 21906*h + 10955*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 143, 5, -3, 6, -9 in descending order.\nAnswer: 143, 6, 5, 2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*o + 15, 0*d - 3 = 3*d - o. Suppose d = c - 60 - 10. Calculate the highest common factor of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2 - 1 = 0. Let h = 41 - 40. What are the prime factors of (k\/(-1) - -21)*h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t + 3. Let m be h(7). Suppose -4*a = m - 154. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 729713 or 729712?\nAnswer: 729712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17807, -17805, -17803, -17801, -17799, -17797?\nAnswer: -17795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7600899?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -429, -726, -1019, -1302, -1569, -1814, -2031, -2214?\n\"Answer: g**3 - 4*g**2 - 292*g - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/96*-16)\/((-2)\/(-53190))?\nAnswer: 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 37.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22281 - -1359143\/61. What is the smallest value in n, 7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 3:09 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12\/25 of a meter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1709685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -469*b + 1421. Let k be n(-6). Is 4235 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 7)*(-33*f + 6*f - 23*f - 93*f) as a*f + p and give a.\nAnswer: -1001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 11, 13, 17, 23?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127073377 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, o: 5, r: 4, w: 1, m: 1, y: 1}. Give prob of picking 1 t, 1 r, and 1 o.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 + 818*l\/3 - 2082719\/3.\nAnswer: (l - 1091)*(l + 1909)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2 (b) 4 (c) 1\/3 (d) -84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 + 641 - 5*c - 229 - 12*c**2 - 208 - 202 + 3*c**4 to f*c + b*c**3 + l + j*c**2 + y*c**4 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5025 - 5023 + 15065 - 5017 - n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**4 + 32065*j**3 + 45505075*j**2 - 19444039945*j = 0.\nAnswer: -3377, 0, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4\/8 - 3*z**3\/2 - 45*z**2\/8 + 27*z\/4 = 0. What is z?\nAnswer: -3, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48636, 48625, 48614, 48603, 48592, 48581?\nAnswer: 48570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + -80?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 0, 178, -1\/2, -4, -1\/4 in ascending order.\nAnswer: -4, -1\/2, -1\/4, 0, 0.05, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 221 = -265 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03013785 to five decimal places.\nAnswer: -0.03014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 378*b**3 - 91*b**3 + 56*b**3 + (-1 + 1 - b - 2)*(2*b**2 + b**2 - 4*b**2).\nAnswer: 344*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**5\/240 - 5*k**4\/96 + k**3\/6 - 2*k**2 + 6. Let z(r) be the second derivative of m(r). Suppose z(g) = 0. What is g?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-137)\/411*153\/3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10582*k + 1627*k + 1105*k - 596600 for k.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8882023 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*m - 64 = -252 - 32 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*sqrt(500) + 2 + 4 + ((-2 + sqrt(500))**2 - sqrt(500)).\nAnswer: -30*sqrt(5) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q. Let l(d) = d**2 + 6*d + 2. Let j be l(-6). Let m(u) = -1 + 2 + 0 + 3*u + 0. Let p(v) = j*n(v) - 3*m(v). Give p(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -14)*(-175)\/(-100)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 205073430 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 3, 79924, 6.\nAnswer: 0, 3, 4, 6, 79924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 - -0.29. Let g = -0.12 + f. Which is the nearest to 1\/5? (a) g (b) -4\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*u + 4*z, -5*u = -5*z - 25. Suppose -u*s = -5*m + 100, -31 = -3*m + 4*s + 21. Solve 0*v - v = -d, -5*d - 3*v = -m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from xkkqxgxkkkxkkg?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*m - 8*m - 19*m**2 - 8 + 23*m - 7*m wrt m.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16337*m - 16371*m - 16339*m - 6*m**2 + 49047*m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -340 - -349. What is the remainder when n is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 2*a**3\/3 + 41. Let t(y) = 59*y. Determine t(n(k)).\nAnswer: 118*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -25. Let m be (-22)\/99 - (-13)\/s. Is m smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21.13657 and -5?\nAnswer: 26.13657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 - 5 + (0 + 2 - 1)*(2 + 0 - 1) + (1 + 0 + 0)*(3 + 3 - 4) + 0 + 0 + 1)*(0*n**3 + 4*n**3 + n**3) to the form k*n**3 + r*n + a*n**2 + t and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*i - 217972 - 125603 = 0. What is the smallest common multiple of i and 5090?\nAnswer: 5090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*l - 108, -2*r - 3*l = r - 138. Calculate the remainder when r is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28467*o**5 - o**4 - 47*o**3 - 2431*o**2 - 685*o?\nAnswer: -1708020*o**2 - 24*o - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 5*s + 14, -4*s + 7*m = 3*m + 4. Let a(i) = -i - 3. Let c be a(-8). Suppose q - 12 = c*q. Is s < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 1548?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozvpozzvzvv. What is prob of sequence voo?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -11\/8, -2 in increasing order.\nAnswer: -2, -11\/8, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -75 + 2235. Let q be g*(-2 - (-9988)\/(-6)). Round q to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0 + 11 = 0. Let r(u) = -9*u**2 - 5*u - 7. Let o(d) = -5*d**2 - 2*d - 4. Let f(l) = s*o(l) + 6*r(l). Let z be f(8). Solve -y - z = -0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 8547*m - 177. Let w be p(-4). Is w greater than -34366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/9 - 172*t**3\/9 + 176*t**2\/3 - 532*t\/9 + 178\/9.\nAnswer: -2*(t - 1)**3*(t + 89)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/2)\/((-2)\/24). What is the units digit of (4\/q)\/(2\/(-228))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*s + 67 = -f, -2*s = 0. Let a = f + 27. What is the least common multiple of 1 - (-1 - a\/(-4)) and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*t - 1. Let g be 14 + 1 - t\/(2\/(-6)). Let s be 740\/24 - (-2)\/g. What is the highest common divisor of 217 and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 1917076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -37*y + 54. Solve g + 0 + y = -2*b, -2*g - b = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 11*k + 3. Let d(z) = 16*z - 28*z - 6 + 3 + 0 - 1. What is -4*d(x) - 5*o(x)?\nAnswer: -7*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 4\/7 (c) -0.25 (d) 1\/4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -2 + sqrt(8))*-5)**2.\nAnswer: 300*sqrt(2) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/4*5 - -194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.65797 + -0.05203. What is the closest to 0 in -1, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*i, 6*h = 3*h + 5*i - 52. What is the tens digit of -38*(135\/6)\/h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 34. Let k(h) = 2*h**3 - 69. Let o(y) = -6*k(y) - 13*w(y). Find the first derivative of o(l) wrt l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147608818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 2, -45, 0, 3 in descending order.\nAnswer: 48, 3, 2, 0, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 117738*k**3 - 3*k**2 - 4*k - 2. Let y be g(-4). Let z = y - -10835266. What is z rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*10*(-28)\/70 + (6142 - 43)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -98, -552, -1310, -2378, -3762, -5468?\n\"Answer: -b**3 - 146*b**2 - 9*b + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 1682\nAnswer: -3364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 16) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10381 - -5343. List the prime factors of r.\nAnswer: 2, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1730 - -1221. Let t = l + 519. Solve 2*s + 6 - t = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.56 - -1.59. Round w to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/101 - -95\/303. Suppose -24 = -3*t - 6. Let x(q) = -q + 6. Let n be x(t). Which is smaller: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3564\/18)\/33*(495\/(-10))\/9?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/(d\/(d\/((d*d\/(d\/(d\/(d\/d**(2\/7))*d)))\/d))*d))\/d*d)\/d*d)**(-2\/63) assuming d is positive.\nAnswer: d**(4\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10855545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12021.\nAnswer: 3, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2 + 3184*s + 22386 = 0 for s.\nAnswer: -7, 1599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.1 (c) 3\/19 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -430165, -1720639, -3871425, -6882523?\n\"Answer: -430156*f**2 - 6*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1966, -6, 8, -4 in descending order.\nAnswer: 8, 1, -4, -6, -1966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-340)\/(-8))\/((-13175)\/(-2635)).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6327, -2, -4.\nAnswer: -4, -2, 6327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.19, -3, -15, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 407312195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2 + 8*h**2 - 4 + 4 + h**3 - h. Let d be u(-4). Calculate the greatest common factor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c - 3. Let q be m(-2). Solve -3*t + 9 = 3*x, -t - 4 = -3*t - q*x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 393*s - 208 - 266*s - 115*s. Determine b(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/181?\nAnswer: 1\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 4)*(-19*d + d - 13*d)*(0 + 0 - 2*d**3).\nAnswer: 124*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-three eighths of a second?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**4\/12 - 4*v - 166. Let s(w) = -1079*w. Determine s(b(o)).\nAnswer: 1079*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -1, -0.5, 13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - 140354?\nAnswer: -140342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -797*d = -375*d - 375*d + 94 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/3, -0.1, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(153)*5 + (sqrt(153)*5 + sqrt(153))*-6)\/((sqrt(36)\/sqrt(64) + 1*sqrt(1296))*-2).\nAnswer: 102*sqrt(17)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-12) + (3 - 567\/(-12)). Suppose -38 = -2*c - l. What is c rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 29 = 2*c. Suppose -5*s + 4*k + 0 = -3, 0 = 2*s + 5*k - 21. Suppose s = -5*p + c. Solve -4*h + 2*h - p = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-2.91.\nAnswer: -0.1455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r + 3*t = 8*r + 13, -4*r - 4 = -4*t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6009 > -6004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22268 + 22231.993. Let p = -0.207 - v. What is p rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*g - 5*f + 8, -5*f = -2*g - 8. Suppose g = -3*j + 10. Let k be 4\/2 + 3\/(-3). Solve 4 = j*d + k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0)*(-4 + 1 + 2)*(3*k + 0*k - k) + 3*k + 2*k - 3*k + (0*k + 3*k - 2*k)*(2 - 1 - 3) - k + 0*k - 2*k as f*k + a and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 14*h**3 - 1. Suppose 2*y - 6 = -2*v, v = -0*y + 3*y - 1. Determine f(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.7798 - -0.15.\nAnswer: -41.6298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*x - 12*x - 21*x + 2.\nAnswer: 37*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -4*a**3\/3 - 2. Suppose -5*c + 6 = -3*c. Let h(o) = -c*o**2 + 0*o**2 + 5*o**2. Calculate h(d(x)).\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*g - 772*g + 53934 = 21451 - 37501 for g.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 9:40 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/7 and -76\/49167.\nAnswer: 344169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbdd when four letters picked without replacement from {b: 1, q: 1, x: 1, n: 1, d: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9974431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 19 = -y, 2*c + 4*y = -7 + 3. Suppose 0 = c*o - o + 3. Is 253 - (1 + -3)*o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.5162 + 0.4842. Let c = h + -11. What is c rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14789 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -15, -2, -52707, 3 in descending order.\nAnswer: 3, 1, -1, -2, -15, -52707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -206, -309, -406, -497, -582, -661?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2287097 + -2287096.94999934. Let g = 19.3 - 19.25. Let k = g - l. What is k rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30237.35l in millilitres?\nAnswer: 30237350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: c (base 16) to base 12\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, j: 6, m: 2, b: 4, d: 1, a: 1}. What is prob of picking 1 j and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -r. Suppose 2*j + r - 6 = 0. What is the remainder when j is divided by 4*(3\/2)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 592 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*l - 38. Let u = l - -3. Solve -4*k - u = 2*y, -5*y + 3*k = 5 + 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 82. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 37\/18*g**4 + 21*g**2 + 4 + 0*g - 4\/3*g**3 - 5\/6*g**5 - 91\/120*g**6 + 7\/90*g**7. Factor n(k).\nAnswer: (k - 6)*(k + 1)*(7*k - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14, -24, -34, -44?\n\"Answer: -10*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -12*s**2 + 41*s + 184. Give b(-6).\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -18672 + -2\nAnswer: -18674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21224 - -11?\nAnswer: -21213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x + 2*x + 0*x - 5*x + x - 4*x + (0 - 1 + 3)*(184 - 184 - 17*x) as d*x + r and give d.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/9)\/(s**(-26\/5)\/s))**11)**33 assuming s is positive.\nAnswer: s**(33154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 594, 595, 598, 603?\n\"Answer: p**2 - 2*p + 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0\/1 + (-684)\/(1 - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142813517 by -11.\nAnswer: 12983047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 82*d + 311 = 81*d, 3*h + 4*d + 479 = 0. What is the lowest common multiple of (h\/2)\/(1*1\/(-2)) and 12?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 32407, 1, 23 in increasing order.\nAnswer: 1, 3, 23, 32407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 4, h: 10, t: 2}. Give prob of sequence vvu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-h - 2*h + 2*h)*(-1 + 6 + 7) - 4*h + h + h)*(3 - 3 - 2*h**4).\nAnswer: 28*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 99.0186 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19128943 - 736.7.\nAnswer: -19129679.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/2 (b) -0.0922 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 13404*a - 5. Let r(k) = 28*k - 1. Let d(m) = -5*r(m) + y(m). Let f(w) = -w**2. Give d(f(c)).\nAnswer: -13264*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.28240183 + 1.28186. Round u to 5 decimal places.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-120)\/(-80))\/(10\/(-4) - -2). Let g(j) = j**2 - j + 1. Let y(o) = 45*o**2 - 40*o + 40. Give h*y(c) + 120*g(c).\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(2) - sqrt(10)\/(sqrt(5) - sqrt(20))) - sqrt(2) - sqrt(288)) + -1*sqrt(32)*5 + (sqrt(110)\/sqrt(5)*-5)\/(sqrt(11) - sqrt(704)*-1).\nAnswer: -275*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38713 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -547, -522, -481, -424, -351, -262, -157?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = -2, 0 = 4*x - 2*k - 172. Let c = -45 + x. Let j be c\/(-2) - -14 - (-2)\/(-2). What is the highest common factor of 104 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(5)*-3*-4.\nAnswer: 4 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10187896448957 and -0.02?\nAnswer: 10187896448956.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 26 + -5 - (-46 + 47).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2 + 3 + 0). What are the prime factors of -20*u*(-4)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 1\/20, 4, 0.0007, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 4*y + 10, 51*y = 48*y + 5*p + 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-1\/8)))\/((r\/r**(-2))\/r*r))\/(r\/r**(-2\/3)*r*r)**14 assuming r is positive.\nAnswer: r**(-1301\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 800*n**2 - 2503 - 76*n - 81*n - 109*n + 266*n wrt n.\nAnswer: 1600*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21\/17 in -5, -570, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -14. Which is the nearest to f? (a) 0 (b) 4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(256)*4)\/(sqrt(16)\/(sqrt(200)*-1 - sqrt(200))).\nAnswer: 320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7029878461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 104623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.5 + -4. Let t = y + 0.5. Let i = t + -4. Put -5, i, -4 in decreasing order.\nAnswer: i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/11 (b) 4 (c) -0.1 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 864416 = -447*c + 223*c. Is c > -3861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 2 = 28*o - 27*o. Calculate the lowest common multiple of 451 and o.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29986662 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 14300008 in increasing order.\nAnswer: -5, 3, 14300008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 977916.\nAnswer: 1\/244479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1060 - 438. Which is bigger: 3106\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 234, 372, 530, 714, 930?\nAnswer: 1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {w: 1, q: 3, c: 3, r: 6, n: 1, a: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 17776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.6. Let g = 0.4 + k. What is the closest to 4 in 2\/5, -0.1, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d = 5*d - 143. Let f be (-14)\/(1 + 1) - d. Solve 2*i + f = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8454053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 6*s**2 + 4. Let c be g(-6). Suppose 0 = c*d + 16, 0*d + 4*d = 3*t - 31. Solve 0 = t*i - k + 22, 0*i - k + 10 = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 49230.\nAnswer: 147690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1567*y**3 - 4*y**2 - 4*y - 36. Let a(o) = 3077589*o**3 - 7855*o**2 - 7855*o - 70695. What is -4*a(j) + 7855*k(j)?\nAnswer: -1571*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40895 - -61477. Is y a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2*b = -5. Let l be (-9 - -10)*b\/5. What is the smallest value in -0.3, l, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-74)\/90 + 6\/27. Suppose -z = -2*b - 4, z + 3 = 4*z + 3*b. What is the second biggest value in z, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*g = 1129, 0 - 5 = -g. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**4 - 2*z**4 + 3*z**4)*(16704 + 454 - 4012) - 2*z**4 - z + z as a*z**2 + q*z**3 + w*z + o*z**4 + d and give o.\nAnswer: -26294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {m: 3, x: 4, a: 1, f: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, n: 1, j: 1, u: 1}. Give prob of sequence jn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**2 - 10. Let c be 3\/(-21)*14\/(-4)*32. Let q(z) = 2*z**2 - 2. Determine c*q(m) - 3*g(m).\nAnswer: 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*s**3 - 1148544*s**2 + 1914015*s - 797475 = 0.\nAnswer: 5\/6, 10633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 11:14 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**3 + 8*j**2 - 11*j + 27. Let u(c) = -3*c**3 + 8*c**2 - 12*c + 29. Let h(n) = -7*u(n) + 6*w(n). Does 22 divide h(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32, 62, 92?\n\"Answer: 30*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 1, q: 1}. Give prob of sequence ib.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 358 + -353 - (1 + 5 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (198\/(-220))\/((-3)\/(-5))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 1402 = 3*y, -3*k - 3*y = 2*k + 1408. Let r = -20846 - -20565. Is k > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**5 - 2*g + 2*g)*(6 + 0 - 4) + (2016*g**3 - 2016*g**3 + 105*g**5)*(-1 + 5 - 3).\nAnswer: 107*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9491, -38134, -85871, -152702, -238627, -343646, -467759?\n\"Answer: -9547*d**2 - 2*d + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340 and 60?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*n + 3*z, -2 = -n + 6*n - z. Put n, -5, 8 in decreasing order.\nAnswer: 8, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -50, 19, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - -266?\nAnswer: 25b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 + 129 + 81 + 12*f + 132 - 464.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 o when four letters picked without replacement from {x: 1, r: 4, o: 4, q: 1, a: 5}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2370547327 - 21505605292711\/9072. Let m = x + 1\/9072. What is the common denominator of m and 1*((-128)\/14 - -2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(3\/23)*l*l\/(l*l**(-1\/11)))\/(l*l**(-2)*l)**(17\/4))**(14\/11) assuming l is positive.\nAnswer: l**(6944\/2783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -917*d**5 + 2795*d**5 - 991*d**5 + (-2*d + 3*d**3 + 2*d)*(6*d**2 + 0*d**2 - 3*d**2)*(0 + 3 - 4).\nAnswer: 878*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(833)*-1 - sqrt(833)) + 5)**2 - sqrt(833)).\nAnswer: -147*sqrt(17) + 3358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*m - 406181 + 400493 = 0 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1074046.\nAnswer: 2, 537023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 4*v**2 - 123*v + 0*v**2 - 42*v.\nAnswer: -v**2 - 165*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12906 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y - 3*v + 292, 0 = 5*y - 4*v - 365. Differentiate -104 + 71*r**2 - 244*r**2 - y + 45 with respect to r.\nAnswer: -346*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 10948.15\nAnswer: 54740.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 451755694 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.1942505 rounded to two decimal places?\nAnswer: -114.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*h = 27*h + 192 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (70\/(-28))\/((-1)\/2). Suppose -t - 18 = -5*w - d*t, -t = 4*w - 21. Put w, -4, -5, 2 in decreasing order.\nAnswer: w, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 12*c + 16. Determine q(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 at most as big as -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -334 times -17\nAnswer: 5678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 q, 1 i, and 1 c when four letters picked without replacement from {g: 2, c: 4, i: 3, m: 2, l: 3, q: 2}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 0*u + 3*u)*(70*u + 34*u + 86*u) - 3*u**2 + 0*u**2 + u**2 to l + s*u**2 + v*u and give s.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12, 57, 138, 261, 432, 657, 942?\n\"Answer: c**3 + 12*c**2 + 2*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*m + 5539 = 0, -o = 5*m + 590 - 3356. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -5d?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1911 - 1889. Solve -4*q = 4*m + 12, -4*q + 3 - a = -3*m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9750784*g**2 - 6486589 with respect to g.\nAnswer: -19501568*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10557)\/158355)\/((-2)\/1590)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24 + 22?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(1\/3)\/w*w))**18*(w**(-1\/3)*w)**(-19\/2) assuming w is positive.\nAnswer: w**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**5 + 20*p**4 + 9695*p**3 + 19270*p**2 = 0.\nAnswer: -41, -2, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/36 and 73\/37014.\nAnswer: 222084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 161123882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2527514, 5055028, 7582542, 10110056, 12637570?\n\"Answer: 2527514*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/8*(-2)\/(-24). Let a(d) = -17*d - 69. Let t be a(-4). Is t bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 26*h. Let u(i) = -9*i. Suppose 0 = 3*s - t - 20, 8*t - 5 = -5*s + 4*t. Suppose -3*r = v - r - 7, -s*r = 4*v - 13. Determine v*n(z) - 8*u(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9808847, -9808831, -9808805, -9808769, -9808723, -9808667?\n\"Answer: 5*s**2 + s - 9808853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31262 and 5075.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 + 223. Calculate the remainder when s is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 35*g + 2*g**4 + 0 + 3*g**3 + 7*g**3 + 2 - 12*g**3 in the form p*g**4 + w*g + u*g**2 + n*g**3 + x and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 66. Solve -p + d*c = -15, 3*p + 4 + 8 = -4*c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152 - 165 - 10 - 3*c - 30 - 1.\nAnswer: -3*c - 358","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + (-5 - (-1 + -2)) + 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -650, 1, -3 in decreasing order.\nAnswer: 1, -3, -7, -650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1745\/4 + -436. Find the common denominator of (-774)\/(-1140) - (-3)\/(-5) and v.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -3. Let t = 54 - 44. Calculate the lowest common multiple of t and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 11*k**2 - 6*k - 35. What is the remainder when c(-10) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)\/(sqrt(8) + sqrt(72) - sqrt(8)))\/(-2*sqrt(4)*2 - sqrt(4)).\nAnswer: -sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105130?\nAnswer: 2, 5, 13, 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 215\/38 + -3\/19. Calculate the common denominator of 79\/74 and p.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-40))\/(165985\/5968).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqjjhjjchpj. Give prob of picking 1 j, 1 h, 1 p, and 1 q.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1596*l - 5. Let y(b) = b - 30. What is o(y(v))?\nAnswer: 1596*v - 47885","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/7 + 378589*x\/7 - 1135776\/7 = 0. Calculate x.\nAnswer: -378592, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*d + 5, -2*d = 2*u + 6. Let c(y) = y**2 + 7*y + 7. Calculate the least common multiple of (u + 3)*0 + 11 and c(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 14*k + 72. Let z be x(-5). What is n in 4\/5*n**z + 1\/5*n + 3\/5*n**3 + 0 = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -339, -730, -1277?\nAnswer: -1980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*p**4 - 212*p**3 + 2*p - 3822?\nAnswer: 168*p**2 - 1272*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 + 70 + 23 - (0 - (27 - 5)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/150, 0.3, 5, 0.4, 2, 14554 in decreasing order.\nAnswer: 14554, 5, 2, 0.4, 0.3, 1\/150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*2\/(-6)*356\/(-1335).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 21*d = -26*d + 1075, 0 = 2*b - 5*d - 2150. Is b a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.13 - -0.33. Let b = g + 40. Let l = -0.5 - b. What is the biggest value in -4, 2\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 53*o - 49. Calculate the remainder when u(6) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 6*x**2 - 41 + 46 - 2*x**2 - x**2 - 18*x + 4*x**2. Let f be q(-9). Solve 6*p - 3 = f*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3838*l + 99790. Let f be m(26). Let i = 65\/646 + -7\/34. Sort -4, f, i, 5 in descending order.\nAnswer: 5, f, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.3 - -6.7. Let n be (-52)\/(-14) + (-4)\/(-14). Which is the second biggest value? (a) 0.01 (b) s (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8244\/(((-6)\/(-4) - -1) + -2). Suppose -3*l - 16508 = -2*b, -2*l = -5*l - 3*b - p. What is l rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8317.2, -0.3, 0.2, -2\/11?\nAnswer: -8317.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245*f**3 - 3476533725*f**2 - 1986590640*f - 283798660.\nAnswer: -5*(f + 14189933)*(7*f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9512 - 9517 + 28542 - 9513 - 4881*j - j + j - 2*j + (-1 + 0 + 3)*(0*j - j + 0*j) to the form g*j + l and give g.\nAnswer: -4885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/4 + 4 - (-1 - -1). Suppose 90 = -s*c + 3*c. Solve -3*k = 3*n, -3*k = -4*n + n - c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15410 to the nearest one hundred.\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 21 = -2*w + 2*c, 4*w - 2*c - 88 = 0. Suppose 25*v = w*v + 462. List the prime factors of v.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/245*7*15\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -110 = 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15911162 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 247876680 divided by 3?\nAnswer: 82625560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13483061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yu when two letters picked without replacement from {j: 3, p: 4, u: 2, y: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -61. Suppose 3*q - q - 5*f + 12 = 0, 5*q - k*f + 9 = 0. Is -0.03 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 6 + 11 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5090*i + 5089*i - 3*g = -2*g + 7, 31 = -3*i - 5*g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*o - 9*o**2 - o**2 + 21*o**2 - 10*o**2 wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*a + 33829, -6*c - 16913 = -8*c - 3*a. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8\/25 of a kilometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3642 + -3639. What is the biggest value in 5, -611, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.116 - -163.884. Let d = -164.4 + h. Which is the nearest to -2? (a) d (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 4*j**2 + (-6 + 3 + 4)*(-4*j**2 + j**2 + 5*j**2) - j**2 + 3 - 3.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3361, 3384, 3403, 3418?\n\"Answer: -2*h**2 + 29*h + 3334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-2))\/((-18)\/108))\/4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3. Let u be 1 - (-4)\/(-2)*-12. Suppose 2*l + 16 = 5*f + 3, -5*l = -5*f + u. Is r bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 726*u**4 + 680.\nAnswer: 2904*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*c - 458 + 17 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/280 and 107\/44.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1.5. Let l = -0.434 - d. Round l to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101013101212 - -2?\nAnswer: -101013101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2. Let b(k) = -3317814*k**2 + 1. Determine b(a(h)).\nAnswer: -3317814*h**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(5\/12))\/u)\/u)\/(u**(-35)\/u*u))\/(u\/u**(31\/4)*u**(2\/33)*u) assuming u is positive.\nAnswer: u**(432\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 2*x - 62 + 16, 0 = -2*x - 10. Suppose -t = 3*a - 69, a - 63 = -a + 5*t. What is the greatest common factor of a and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, a: 7}. What is prob of picking 4 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154178.5m to micrometers.\nAnswer: 154178500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqn when three letters picked without replacement from akxnkxxkqkkxqxxfa.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/r*r**(4\/7))\/((r**8\/r)\/(((r**(6\/7)\/r)\/r)\/r))*((r*r**(-4\/5)*r)\/r*r**(3\/4))\/((r\/r**(-6))\/(r*r**(-7)*r)) assuming r is positive.\nAnswer: r**(-2607\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 317 (b) -13 (c) 2125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2)**(-4\/17))**34 assuming x is positive.\nAnswer: x**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 591719.\nAnswer: 591719.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -185 less than or equal to -112137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwnwkninwpkwwnziww. Give prob of sequence kiiw.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a decade in years?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*f = -56*f - 417*f + 2988 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 3. Let m(a) = 2*a**2 - 5. Let n(j) = 3*m(j) - 5*r(j). Let d(w) be the third derivative of w**5\/30 - 50*w**2. What is n(d(h))?\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/4007 or 36.73?\nAnswer: 36.73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15853 or 15352?\nAnswer: 15853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**3\/3 + 2*c**2 + 6*c + 2. Let b = -5 - -15. Let s = b + -5. Calculate k(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and -29.07457.\nAnswer: 494.26769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 5, 85\/2, 3\/5, -3 in increasing order.\nAnswer: -3, -0.03, 3\/5, 5, 85\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.0615\nAnswer: -0.1845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -469, -470, -471?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595934 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -0.6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 380 + -135. Suppose 0 = 3*h + j - 5*j - q, -4*h + 328 = -5*j. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108 - -117. Solve 0 = 8*v - b*v + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 5, -1\/7, 0.4, -0.4, -161?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62655815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 2*m - 7050 + m - 4*m - 1389.\nAnswer: m - 8439","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*l + 4*l. Solve 5*d - 4 = -l*c + 1, 0 = -3*c - d - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = n + 9. Let x be (10\/14)\/(n\/(-21)). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -9)*(36\/24)\/((-63)\/264)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 2:51 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 439*h**3 - 5*h**2 - 5*h + 4. Let n be m(4). Round n to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 159 = 205. Let a(k) = k - 3*k - 3*k - 1. Let x be a(-1). Solve -4*q + j = n, x*n + 11 - 38 = -3*q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 105768.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j**2 - 1. Suppose y + 5*s + 18 = -y, 2*y = 4*s. Let q(x) be the second derivative of x**4\/4 + 3*x + 82. Give y*u(f) - 10*q(f).\nAnswer: -2*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**5\/60 + 7*i**4\/24 + 2*i**3\/3 - 3*i**2. Let f be r(-6). Sort f, 0.1, 4\/7 in increasing order.\nAnswer: f, 0.1, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133601380.1 rounded to the nearest one hundred thousand?\nAnswer: -133600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)\/g)**39*(g**(-2\/3)\/g)**(-14) assuming g is positive.\nAnswer: g**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -18100 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33, -252, -471, -690?\n\"Answer: -219*j + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1038 and 18?\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26471804 to the power of 1\/2, to the nearest integer?\nAnswer: 5145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 17)*(-27)\/(-5) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 10 = -4. Suppose -5*r + 12 = -q*r. Solve -3*y = r*g - 15 + 1, -2*g + 6 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 87*f = 1125. What is the remainder when 539 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*c**3 + 52 - 124 + 68.\nAnswer: -140*c**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21295.00053268 - 21295. Round u to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/6)\/(1\/20). Let x(l) = -2*l - 16. Let r be x(q). Differentiate 120*i**4 - r + 5 - 118*i**4 with respect to i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43287 is divided by 21625?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 10*w = -2*z - 500, -z + 4*w = 240. Is z at least -256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 2571*d**2 + 33930*d.\nAnswer: -3*d*(d - 870)*(d + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23757 = -115*k - 71*k + 16503 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**5\/6 - m**2\/2 + 6*m. Let h(z) be the first derivative of d(z). Let c(r) = -2*r**2. Determine c(h(v)).\nAnswer: -200*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 27, -40, -127, -240?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/12*-8*(-2)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 463*x**2 - 60776*x - 1602860.\nAnswer: -(x + 35)*(x + 214)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7044 take away 0.1?\nAnswer: -0.8044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 243, 234, 225, 216?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 1. Let d be o(9). Let t be (26 + 1)\/(d - -9) - -4. Suppose 91000 = -36*a + t*a. Round a to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/((v\/v**4)\/v))\/v))\/v*v**(-6)*v*v**1*v*v\/v**9)**(-2\/45) assuming v is positive.\nAnswer: v**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-4)*(-11)\/((-22)\/(-504)). Let a = -1823 + 1832. What is the highest common factor of a and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofso when four letters picked without replacement from rnofrttrosrro.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -109? (a) -2\/69 (b) -1\/4 (c) 1\/9 (d) 1 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, h: 2, o: 1, p: 4, y: 6}. Give prob of picking 1 y and 1 n.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 3*p + 167, 0 = -199*q + 195*q - 5*p + 131. Solve 18 = -52*d - q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176 divided by -22\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 21. Let r(p) = p**2 + 3*p. Determine u(r(a)).\nAnswer: 2*a**2 + 6*a + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(243)*2 + ((sqrt(150) + -2*sqrt(150))\/sqrt(5))\/sqrt(10)).\nAnswer: -85*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 1, u: 4, m: 3, o: 1, w: 2}. What is prob of picking 1 e, 1 a, and 1 m?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f + 15. Let h(q) = 2*q - 7. Let l(i) = -3*a(i) - 7*h(i). Calculate l(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -15608068.\nAnswer: 1\/15608068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130\/2207 + 240321\/220700. Calculate the common denominator of -169\/60 and g.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 1. Suppose 14 = -c + 2*x, 4*c + 4*x + 10 = 2. What is the units digit of h(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15755 and 337295.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -6) + 7 + 282 + -241?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23700 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 24, 1\/4, -5, -2\/11, 0.41?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -746*x**3 - 239 wrt x?\nAnswer: -2238*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1368\/(-81))\/(-38) - 50\/(-9). Solve -v*o = -37 - 11 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -40*3\/(-3 - 3). Let g(o) = 5 - 26*o**2 + 7*o + d*o**2 - 21. Let n be g(5). Round n to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 81 + -521?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a - 3*a + 4*a + (-3*a + 2*a - a)*(-1 - 1 + 0) + 179*a - 359*a + 209 + 182*a.\nAnswer: 5*a + 209","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1614 divided by -5.\nAnswer: -1614\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -61*l**2. Let s be x(1). Let c = 0 - s. Suppose 7*q = 2*q + m + 140, -c = -3*q - 4*m. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10557 and -0.2.\nAnswer: 2111.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -9, -1, 3, 7.\nAnswer: -20, -9, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) -46 (c) 693 (d) 0.15 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9655104 divided by 301722.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 2166.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2. Let m = 101627\/8 - 12703. Let s(c) be the third derivative of 0 - 26*c**2 + 0*c**3 - m*c**4 + 0*c. Determine t(s(y)).\nAnswer: -162*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 141*p**6\/10 + 2*p**3 + p**2 - 308*p. What is the second derivative of d(v) wrt v?\nAnswer: 5076*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-12))\/(-2 + (-20)\/(-12)). Solve -y*w = -4*w - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3031*m**3 - 29983*m**3 + 2.\nAnswer: -26952*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39037*r**2*z**2 + 30*r**2*z - 6*r*z wrt z.\nAnswer: 78074*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -3 (c) -134 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 25 = 7*t. Suppose -16 = -t*h - y, 2*y - 4*y - 4 = h. Calculate the remainder when h is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -3*z**2\/2 - 9*z + 28. Let o be l(-13). Suppose 16*x + o = 18*x. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*1\/(-3)*3. Solve q = 2*j - j - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.99 + -1. Let p = 2.2 + -2.4. Let i = -18167 - -18166. What is the nearest to p in a, i, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + a - a + (3*a - 3*a - 4*a**3)*(-37 + 202 + 95) + 3*a**3 - a**3 - a**3 to the form d*a + u*a**2 + b + i*a**3 and give i.\nAnswer: -1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000030355 to seven dps.\nAnswer: 0.0000304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3907 and -133.\nAnswer: 519631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 188*r**2 - 32*r**4 - 1 - r**3 + 3*r**3 - 189*r**2 - r**4 as q + s*r**2 + f*r**3 + y*r**4 + g*r and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 15. What is the remainder when 44 is divided by d(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27820 divided by -11\nAnswer: -27820\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 2*q + 2*q)*(-2 - 9 + 3) + (2 - 12 + 1)*(-q - 4*q - q) to the form g + t*q and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 66769 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*l + 2 = 0, -15*d + 11*d = 5*l - 35. Solve 5*f - 3*i = 8, 0*f - d*f + 4*i = -4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 34*s**2 - 7*s - 3. Suppose -4*z - 5*u - 32 = 0, 1 + 3 = -u. List the prime factors of m(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 8. Let u be (-2)\/g + (-528)\/36. Let z(p) = -p**2 - 15*p - 8. Let i be z(u). Solve 0 = b + b - i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9475600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -367, -729, -1091, -1453?\n\"Answer: -362*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 + 12633*j + j**2 - 12669*j + 22*j**2 - 1 as z*j**3 + o + b*j + u*j**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5095\/((0 - (-4)\/(-8))*-2). Let b = 538 - p. What are the prime factors of b\/(-77) + (-2)\/11?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*t + 0 - 6 = 0, -w = 5*t + 25. Sort w, -48, -1 in decreasing order.\nAnswer: -1, w, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64586, 258386, 581382, 1033574, 1614962, 2325546?\nAnswer: 3165326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 + 1 - 6*j**2 + 9 - 4*j - 10*j + 16*j. Suppose -u = 4*u - 25. Is 12 a factor of b(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-8)\/20))\/((-240)\/(-576)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1704 less than -304?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 0*o. What is the derivative of o - 19*y + 3*y**2 + 12 + 19*y wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5370*n**5*r**3 + 3*n**3*r**3 + 1318*n*r**2 + 3*r**3 wrt n?\nAnswer: 107400*n**3*r**3 + 18*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3\/23 - 9486*q**2\/23 - 325716*q\/23 + 4203760\/23 = 0 for q.\nAnswer: -44, 10, 4777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67132 - 38810. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 838975 and 72705?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1916 and -11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**8\/1008 - o**7\/126 + 13*o**6\/360 - 7*o**5\/180 - 279*o**2. Suppose u(k) = 0. Calculate k.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -131130144 + 5?\nAnswer: -131130135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o. Let f(q) = -2*q**3 - 11*q - 3. Determine f(c) - 6*y(c).\nAnswer: -2*c**3 - 5*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 48. Calculate the remainder when 35 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7653729 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 4. Let j = 4 + -2. Let x be j\/(-8) + (-1)\/(-4). Which is the third biggest value? (a) -2\/5 (b) x (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3286909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 393382*m**5 + 13*m**2 - 392550*m**5 - 13*m**2 + 2742*m wrt m?\nAnswer: 16640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 868 divided by -117631\nAnswer: -868\/117631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75.62 - 4.62. Let a = -16 - -15. Is u less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29948501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.41+-0.0491\nAnswer: -0.4591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtk when three letters picked without replacement from {t: 2, o: 3, v: 1, n: 1, k: 2, z: 6}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 849*s - 285*s = 283*s + 283*s, -4*s = 4*a + 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 0. What is the nearest to -1 in d, 1, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 602784420 - 13*s**2 - 602784420 - 3*s**2.\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60999*h**3*p + 9*h**3 + 6*h**2 - 2*h*p + 8323668*p wrt h?\nAnswer: 365994*h*p + 54*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + 1 + 0*r**2 - 8887*r + 17769*r - 8851*r + 2*r**2 to the form a*r + z + c*r**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 2:52 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.031 + 5.\nAnswer: 5.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 5. Let g = 23 + -20. Which is the nearest to 1\/2? (a) s (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 9*k + 4. Let b = -440 + 472. Suppose -b*g = -15*g + 119. Calculate u(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkjgjjzgzkkgje. Give prob of picking 2 j and 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 18 - (-9 + 22 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16652, -26364, -36076, -45788, -55500, -65212?\n\"Answer: -9712*p - 6940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (188\/10)\/(8*(-31)\/620)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - o + 87. Let q be l(8). Solve 0 = q*t + 5*t - 120 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1028 by 257.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*(83 - 81) + ((-136)\/32 - -7).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**20\/(k\/k**(-2\/13)) assuming k is positive.\nAnswer: k**(245\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 55. Suppose -n*c = -15*c. Factor -2\/5*v**3 + 2\/5*v**4 + c*v**2 + 0*v + 0.\nAnswer: 2*v**3*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36767265 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/121 - 1432\/(-11). Suppose -5*v + 3*c + 130 = 0, -4*c + p = 5*v - 3*c. Suppose 13 = -3*y - v. Which is smaller: y or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-11907)\/(-490))\/(-81))\/((-1)\/(((-15)\/(-1))\/3))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5498 - 3?\nAnswer: -54a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + ((-18)\/(-30) - (-64)\/10). Find the common denominator of -12\/11 and 69\/2 - (u - 5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 541849380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*g - g**2 + 17*g + 3*g**2.\nAnswer: 2*g**2 + 164*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1250 - -27088?\nAnswer: 25838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (46\/184)\/((-9)\/8)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 4*f - f**3 + (-16*f - 137 + 137)*(4*f**2 + 0 + 0) + f**3 - 2*f**3 - 7*f**3.\nAnswer: -73*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*j + 60 = 0, -9 = -3*d + 2*j + j. Let u(f) = 3*f**2 - 213*f + 22. Let s(r) = -r**2 + 77*r - 9. Let c(o) = 11*s(o) + 4*u(o). Calculate c(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3) + -1 - (-13 + 1 - -24)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 991846591 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38643*h + 38532*h - 444 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, 76, 4\/3 in increasing order.\nAnswer: 0.14, 4\/3, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = z - 19, -5*z = -3*j - 2*z - 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/10 - 6*w**4\/5 - 24*w**3\/5 - 8*w**2 - 24*w\/5.\nAnswer: -w*(w + 2)**3*(w + 6)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188786, 188698, 188610, 188522, 188434?\nAnswer: 188346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 3:42 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 27804861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/95*10\/4. Sort -0.3, b, -27\/7, 3, -3.\nAnswer: -27\/7, -3, -0.3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-710 + 713)\/(1\/(-2)*-3). Solve 0 = -3*v - 15, p + 21 = 2*h - 3*v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1048c61 (base 16) to base 11\nAnswer: 9702a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 91\/2 of a millennium?\nAnswer: 455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(3 + 1*sqrt(98)*-5).\nAnswer: -10 + 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4542 and 0.5.\nAnswer: 0.0458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(112) + -1)*-5 - (4 + (sqrt(112) - ((-1*(sqrt(112) + 3) - sqrt(112)) + sqrt(112)))))**2 + -5.\nAnswer: -56*sqrt(7) + 5484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -524a - -66?\nAnswer: -5194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -17053805.\nAnswer: 1\/3410761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13497, -13561, -13621, -13677, -13729, -13777?\nAnswer: -13821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 306 and 6834.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 10*l + 4. Let s be y(5). Let i = s - 26. Let n(c) = c**2 - 3*c + 3. Calculate n(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/46860 and -19\/33.\nAnswer: 46860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11905, 25860, 39815, 53770?\n\"Answer: 13955*n - 2050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 5, 2198179 in increasing order.\nAnswer: -3, 1, 5, 2198179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 2)*(m**2 - 4*m**2 + 4*m**2) - 138703 - 1048*m**2 + 138703 + (-m + 2*m - 2*m)*(2*m + 1 - 1) to the form f + q*m**2 + n*m and give q.\nAnswer: -1053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwwiac. What is prob of sequence iw?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 7*y - 3 + 0*y + 8.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, -46, -1\/5 in decreasing order.\nAnswer: -1\/5, -6\/11, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2. Let b(x) = 55865*x**2. What is b(r(h))?\nAnswer: 223460*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19671355 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20223 + 101118 + 3*r**3 - 20219 - 20221 - 20214 - 20223.\nAnswer: 3*r**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z. Determine a(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-184)\/46 - 122\/(-18)) + -3. Sort -4, -0.3, 1, x, 15 in decreasing order.\nAnswer: 15, 1, x, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115471253.\nAnswer: 115471253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 117 = 3*t. Let s be ((-100)\/(-8))\/(-5)*16. Let n = t - s. What is the smallest common multiple of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5741 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: Suppose t = 4*x - 9 + 1, -5*t = 4*x - 8. List the prime factors of x\/(8\/(-122))*-2.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109*b**5 - 5*b**4 + 2409*b.\nAnswer: -2180*b**3 - 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*m + 36, 5*m - 22 = -3*v + 106. Suppose -v*y + 1508 = -17*y. Let p(f) = 2*f**2 - 8*f + 9. Let k be p(7). Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (102*12\/72)\/(-6*(-31)\/186)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 4) + (7 - 15) + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 13*h - 24. Let y be n(-15). Let v = y + -4. Solve 2*w + 0 - 14 = -2*x, v*x - 4*w + 10 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**8\/105 - 3*a**4\/8 + 5*a**3 + 5. Let x(n) be the third derivative of c(n). What is the derivative of x(j) wrt j?\nAnswer: -64*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b - 9*b + 330. Let t = b + 119. What is the remainder when t is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07 - -0.17. Which is the closest to x? (a) 1\/2 (b) 3 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 - 2 + 4*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233, 443, 619, 743, 797, 763, 623?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*3*443\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18 + -2 - 0) + 2. Suppose 6*v = 3*v - u. What is the least common multiple of 14 and 4\/(-6) + (-52)\/v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(19) + -2 - (sqrt(475)*2)**2 - -6*(2*(sqrt(76)\/sqrt(4) + sqrt(19)))**2.\nAnswer: -80 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-177)\/(-472)*(-64)\/(-6). Solve -3*b - w*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*h = -1197, 5 = -2*h - 5. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 170 = 4*t, -5*n - 3*t + 674 = 223. List the prime factors of n.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1415*d**5 - 4*d**4 + d**3 - 14*d**2 - 84*d wrt d?\nAnswer: -84900*d**2 - 96*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3454773\/638 + -5415. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 4*r = -4*b + 15, -3*b - 12 = -4*r. Let w = 8.618 - 11.618. Sort w, -1\/15, b, 1\/3 in descending order.\nAnswer: 1\/3, b, -1\/15, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-3 + 0 + 0)*(-2 + 3 - 3)*(2*v + 4 - 4)*(-2 + 1 + 2).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(8)\/(sqrt(8)\/sqrt(2)) + (sqrt(2) - (sqrt(72) + sqrt(72)*4)**2).\nAnswer: -1804 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**3\/6 + z. Let u(k) be the third derivative of 36*k**2 + 0*k + 0*k**4 + 0 - 1\/60*k**5 + 0*k**3. Determine y(u(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 38 + 36)*(2*t**2 - t**2 - 2*t**2)*(540 + 208 - 90) to the form p*t + w*t**2 + h and give w.\nAnswer: -43428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -4\/97818793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3*n = n - 1, -4*n - 20 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1289169 divided by 399?\nAnswer: -3231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxcetitqeitcxecx. Give prob of picking 2 c and 1 e.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1064246*b - 17182424.\nAnswer: 1064246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -1203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -36, -1, 5.\nAnswer: -36, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 8520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*t + 37*t - 6*j - 10, t - 8*j - 7 = -4*j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -25 - 19. Let w = d + -15. Calculate the remainder when w is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 225880996 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1048 and 163.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 532*k - 3068. Calculate t(6).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, s: 4, e: 2}. What is prob of picking 3 i?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070154 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 382 divided by -590608?\nAnswer: -191\/295304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 136\/13 or -22311?\nAnswer: 136\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Let f(n) = n - 1. Let t(r) = -1. Let v(w) = -6*f(w) + 6*t(w). Determine k(v(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*u + 111 = 0, a - 5*u - 82 = -25. Let d = a + -33. Let j be (1 - d) + -4 - -5. Solve -3*l - 12 = -j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/9)*g)\/((g**2*g)\/g) assuming g is positive.\nAnswer: g**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + a**2 + 2*a + 1. Let m(l) = 6*l**3 - 3*l**2 - 4*l - 26. Determine -m(b) - 2*v(b).\nAnswer: -2*b**3 + b**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**3\/3 + 5*i**2\/2 - 3*i + 1. What is f(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 9 = 23. Let d be y*(-3)\/(-3) + 2. Solve 5*z - 3*z - 8 = d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w + 63 = -133 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u + 2. Let l(z) = 3*z - 5 - 3*z + 9*z. Determine 3*l(g) + 7*y(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 61 - (11 - 19 - (8 - (14 - -14)))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*l + 5*p, 3*l - p - 50 + 38 = 0. Suppose v - 7*d = -2*d + 25, 4*d = 4*v - 36. Let r = -0.1 + -0.3. Sort l, v, r in descending order.\nAnswer: v, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.04 + 1870205.6754\nAnswer: 1870209.7154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 1)*(2 - 2 - 1) - 2 + 0 - 6 + (3 + 1 - 5)*(-2 + 3 - 3))*(3 - 3 - 4*l**5).\nAnswer: 20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 621.2697 weeks in microseconds?\nAnswer: 375743914560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1194*u - 7158. Calculate l(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 6*a + 4.\nAnswer: 2*(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3\/7 - 1888*s**2\/7 - 8934158*s\/7 - 8932268\/7 = 0.\nAnswer: -1693, -1, 2638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 4*f**2 + 21*f - 2. Determine q(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 141*d - 2347. Give a(16).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-3)\/(-4))*26\/52.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -691 - -1341. Suppose 3*r - q = 6652. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -417.873 - -418. Let x = a - 0.127000173. What is x rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 944492\/9 - 105173. Let r = 229 + g. Which is the nearest to -1\/4? (a) r (b) -4 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 4*d**3 + 2*d**2 - d**2.\nAnswer: -4*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4172305, 4172307, 4172309?\nAnswer: 4172311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2 = -20, 0 = 3*h - 5*r - 42 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -1495\/3*t**3 + 0 - 36*t + 9\/2*t**2. Is y(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02921 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2142648.\nAnswer: 2, 3, 29759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1059\/27 + (-4)\/18. Let k be 2\/2 + (4 - -21). Calculate the greatest common factor of k and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.29 + -2.19. What is the second biggest value in -2, 43, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002671 to 4 decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 + 0)\/(-2) + 118 + 1188 is divided by 434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.2 times -0.017?\nAnswer: -1.4654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 133999 + -41.7?\nAnswer: 133957.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1018 - 674 - 820)*(2*j - 5*j + 2*j)*(7*j - 7*j - 26*j**2) to u*j**2 + z*j + f*j**3 + m and give f.\nAnswer: -12376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5791\/1530 - -23\/85. Calculate the common denominator of h and 27\/262.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62\/95 + -3627\/1045. Find the common denominator of w and (151\/(-18))\/((-1)\/1).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187)*-1 - sqrt(187))*-1 - (sqrt(187) - -6*sqrt(187)*-1))\/(-3*(sqrt(539) + -4*sqrt(539))))**2.\nAnswer: 17\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - p = 2*p + 11, 3 = x + p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 171681 <= 171643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 164, 138, 88, 8, -108, -266?\n\"Answer: -a**3 - 6*a**2 - a + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 0*g - 9 + 92*g**2 + 8*g - 48*g**2. Is h(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y - 1. Let w be p(1). Suppose 0 = -22*t - 19*t - 656. Is 13 a factor of (40\/t)\/(w\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84.5 - 44. Let w = r - 41. Let o(j) = -j + 4. Let y be o(0). Which is the closest to -2? (a) w (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-60) - 594745\/(-75) is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1114848)\/22540)\/(-316))\/((-3)\/(-10))?\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.1*-1.51\nAnswer: -3.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(90)*-2 - sqrt(90)) - (sqrt(76)*-2*-6 + sqrt(76)).\nAnswer: -235*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5228, 5218, 5198, 5162, 5104, 5018, 4898?\n\"Answer: -b**3 + b**2 - 6*b + 5234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, a: 6, l: 2, r: 2, n: 4}. Give prob of picking 1 n and 2 l.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**6\/120 + 3*k**5\/20 + 7*k**4\/24 - k**3\/2 + 7*k**2. What is the units digit of i(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-10) - (-5)\/50.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/46 (b) -0.2 (c) -2067\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/8*6\/(-9).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/1*(-1071)\/102. Let b be 4*1\/(8\/30). Calculate the highest common divisor of f and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*u**2 - 1481147*u + 407930483.\nAnswer: -10*u - 1481147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.15219 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + 40 + 18 - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 + 24*m**2 + 4*m**2 - 7*m**2.\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -18. Let w = 8 - d. Suppose j = 24 - w. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7)*-1*1).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/6)*l**(2\/5)*l)\/(l*l**(3\/11))**(-6\/25) assuming l is positive.\nAnswer: l**(4189\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -57, -3, 35, 51, 39, -7?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 56. Suppose -r = h - 7. Find c such that 0*c + 0 - 3 + 9*c + 3*c + 15*c**h = 0.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/(1\/(-4))*157\/((-83838)\/23763)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -10. Suppose -21 = -4*o + m. Solve 3*f + 6 = 0, 2*f = 4*p + f + o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8090082ng to tonnes.\nAnswer: 0.0000000000000008090082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 39. Determine f so that -24 + 11*f + 25*f - z*f**2 + 12*f - 8 + 4*f**3 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 428 + -809. Let q = a - -384. Let f = -1.02 + -0.28. Sort -3, q, f in descending order.\nAnswer: q, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 57, 78, 91?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 422212027, 422212028, 422212029, 422212030?\n\"Answer: o + 422212026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 400*t - 395.\nAnswer: -5*(t + 1)*(t + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8660.\nAnswer: 2, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 4. Let p(m) = -m**3 - 5*m**2 + m + 7. Let b be p(-5). Let l(o) = 0 + 5 - b. Determine 2*d(f) - 3*l(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -34. Let z(q) = 12*q - 7. Let o be z(1). Suppose 4*f - 2*j = 62, f + 8*j = o*j + 19. What is the remainder when p is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:16 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r**2 - 8*r. Let n(d) = -d**3 + 4*d**2 + 3*d + 7. Let y be n(5). Let x(h) = 3*h**2 + 3*h. Calculate y*w(p) - 8*x(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20584 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 2 + 6)*2. Suppose 2*u + 5*f = f + b, 3 = f. Suppose -39 = -u*o - 11. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (0 + sqrt(1377) + -1 + sqrt(1377) + 1 + sqrt(1377) + 3 - (sqrt(1377)*2*-4 + -2)) + -2 + -5)**2.\nAnswer: -1188*sqrt(17) + 166653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -19*r**7\/15 - r**6\/15 + 37*r**5\/20 - r**3\/2 + 2*r**2 - 413*r. What is the third derivative of g(t) wrt t?\nAnswer: -6384*t - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 4. Let m be c(3). Let f(s) be the second derivative of 1\/2*s**2 - 1\/6*s**3 + 0 - 2*s + 1\/20*s**m - 1\/12*s**4. Suppose f(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2912687 - -4403982901\/1512. Let z = -4\/189 - x. Put -2, z, 0.4, 35 in descending order.\nAnswer: 35, 0.4, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283\/(-8) - (-1344 - -1309)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -24 (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -8573 + 214493. Let o be -2*(-1)\/(-9) - 10816\/a. Is 1 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s + 35 = 143. Solve -1 = -4*n + 3*b, n = -3*b + s*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (0 - (-2)\/9). Let r = 2 - 2. Let z = -0.3 + -0.1. Which is the closest to 1? (a) r (b) z (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*j + 4*x, x + 4 = -3*x. Let p be (-4)\/j - 15\/(-6). Solve -2*q - 6 = 4*v + 4, 0 = p*v - 2*q + 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.04, 2, -6886 in increasing order.\nAnswer: -6886, -2\/7, 0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 19 + (-4 - (0*(0 + 1))\/3). Let t be (-6)\/(-4)*(-4)\/(-3). Let r be (-4 - -3)\/(t\/(-6)). Solve -5*d + 15 = s, -r*d = -8*d - 4*s + o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1402650 and 30186.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 39151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25124270.32 rounded to the nearest one hundred thousand?\nAnswer: 25100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 335 + -611. Let f = k + 288. Let y(g) = 16*g. Let b(p) = -p. Calculate f*b(d) + y(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204034 (base 7) to base 10.\nAnswer: -35011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 611697*j*r**3 + 23*j*r**2 - j*r - 2*j + 30462*r**2 + r wrt r?\nAnswer: 3670182*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2 and 35\/26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 3*x - 3. Let b be y(3). Let g(r) = 8*r + 2. Let t be g(2). What is the units digit of ((-4)\/b)\/(3\/t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -391*j - 63832. Give c(-163).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 2*o + 1)*(-2 + 57 - 22) + (1 + 9 + 4)*(-2 + o + 2))*(1 - 1 - 1) as u + m*o and give m.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**3 + d**2 - 5*d + 5. What is f(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.2, -2, 0.138, 5\/2, -3, 6\/7, -7\/3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 4*y**2 + 5*y + 4. Let w be b(5). Suppose v + w*u - 15 - 3 = 0, v = -3*u + 15. Calculate the least common multiple of v and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/200 and 89\/130.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109*i**2 - 31 - 108*i**2 - 108*i**2 + 4*i - 6*i + 326*i**2 to k + q*i**2 + s*i and give k.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 585 - 574. Suppose 5*t - d*p - 1384 = -8*p, 4*p = -12. Is t a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(16\/(-4)))\/((-2)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 8*s + 7*s + 0*s)*((-49 - 64 + 7)*(2 - 7 - 2) + (-1 - 2 + 1)*(7 - 2 - 3)) to p*s + r and give p.\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - 2.6. Let u = y - -2. Let s = 78\/5 - 229\/15. Is s at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -4, 0, 16 in decreasing order.\nAnswer: 35, 16, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-15))\/((-608)\/120 - -5). Put -1, z, -46 in descending order.\nAnswer: -1, z, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161279 = -161*t + 158220 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p**3 + 3*p**2 + 21*p - 9. Suppose 2*g + 0 = 10. Let i(y) = 5 - 10*y - y - y**3 + 4*y**3 - 2*y**2. Let r(x) = g*o(x) + 9*i(x). Factor r(b).\nAnswer: -3*b*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*z**2 - 4 + 0 + 1.\nAnswer: 53*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/3 (b) 0.8 (c) -5 (d) -0.757 (e) -39\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -13\/40*d**5 + 0*d - 1\/8*d**4 - 4*d**2 - 1\/4*d**6 + 0*d**3 - 9\/140*d**7 + 0. Suppose i(x) = 0. Calculate x.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -304, -457, -610, -763?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, 6, -5, 2, -1 in descending order.\nAnswer: 6, 2, 1\/10, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*k - 15, 0 = 2*t - 3*t + 2*k - 9. What is the units digit of (1\/t)\/(2\/(-102))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1 = -4. Let x(y) = -y**2 - y + 1. Let z(w) = 4*w**3 + 2*w**2 + 2*w + 2. Let o(b) = i*z(b) + 2*x(b). Find the first derivative of o(s) wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(84)\/sqrt(4))\/(-3*sqrt(252) + sqrt(252)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73308*o**2 - 73308*o**2 - 104*o**3 - 6*o.\nAnswer: -104*o**3 - 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 373090070 to the nearest integer?\nAnswer: 19316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -3, 86, -2\/523, -0.2?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 9. Let v = -4.2 + z. Suppose 5*p = -0*p + 25. Which is the second biggest value? (a) -0.1 (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - (7 + (-44)\/6). Which is smaller: 20\/17 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/115129 and -36\/9588601.\nAnswer: 67120207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2. Let k(i) = 3*i - 7 + 17 - 10. Give m(k(y)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g**3 - 9*g**2 - 3. Let n(p) = p**3 + p**2 + 1. Let i(z) = -f(z) - 6*n(z). Let l be i(0). What is the units digit of 2*l\/15 - 1092\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(5\/(-3) + 2). Suppose 45 = 4*l - g*l - 5*a, -3*l - 4*a - 30 = 0. Find the common denominator of l and 76\/(-21)*6\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 425 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18761988 divided by -3?\nAnswer: -6253996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2 - 2)*(-104*v**2 - 51*v**2 - 81*v**2) + (5*v + 2*v - 6*v)*(0 - 2 + 0)*(3*v + 2*v - 4*v)*(-2*v + 3 - 3).\nAnswer: -468*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 6 (b) 4 (c) 0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*h**4 + 8*h**3 - 12*h**2 - 14*h wrt h?\nAnswer: -504*h + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/48*(1 + 0)*-39. List the prime factors of 2 - l\/6 - (-44646)\/36.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-7)\/(-84)*-6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/210 and 193\/390.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*p + 51*p - 599 = 205 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:24 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**4 - 3*k**4 + 5*k**4 + (0*k + 4*k - 2*k)*(0*k**3 + 3*k**3 + 0*k**3).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.67 + 0.63. Let k = 7 - i. Let y = -0.7 + 1.1. What is the second biggest value in k, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q - 102. Let k(i) = -15*i + 413. Determine -2*k(w) - 9*s(w).\nAnswer: 3*w + 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1)*-1 + 2. Let j(q) = q + 10. Let w be j(-8). Suppose w*z = -o + 4*o - 225, -155 = -2*o + s*z. Calculate the remainder when o is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*u**3 - 448036*u**2 + 560024*u - 112004 = 0. Calculate u.\nAnswer: 1\/4, 1, 28001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12001003132 (base 4) to base 3\nAnswer: 2222010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*y = -78 + 74, 4*w - 52 = -4*y. Let t = 2\/13235 - -38540314\/39705. Let z = t - 962. Is z equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92064 - -1469459788?\nAnswer: 1469367724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from ilgllllggiilgl?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 9. Let n(o) be the second derivative of -o**4\/12 - 2*o**3\/3 + o**2\/2 + 6*o. What is the units digit of n(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7708.0294 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-1) + -9 + 10. Suppose -p*o = -4*o - 920. Calculate the remainder when o is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q. Let h be 3 - (-3)\/2*8\/6. Suppose -h*o + 28 = 4*j, 5*j + 5*o = 6*j + 18. Let u(w) = 156*w - 156*w + 6*w**j. Give u(c(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-180) - ((-2624)\/(-288))\/(-41).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = 2*w - 2*h, -6*h + 10 = -h. Let t = -70 - w. Let r = t - -631. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3321721 (base 10) to base 7\nAnswer: -40143214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + -1. Let n = 2.1 + -1.97. Let j = -0.03 + n. What is the third smallest value in l, j, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2060\/199899 + 2\/1197. Put 2\/13, 0, 1\/2, k in descending order.\nAnswer: 1\/2, 2\/13, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 21830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6728*h - 1773*h - 1724*h - 1728*h - 1664*h.\nAnswer: -161*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -253 + 841. Suppose -2*n = -5*k - 231 + 979, -4*k - n + y = 0. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -42 and -43 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5751 - -16327. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, y: 5}. What is prob of sequence zyzz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 36, 44, 50, 54, 56, 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 15*h**2 - 19*h + 70. Calculate the least common multiple of 218 and t(-11).\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26, 236, 808, 1922, 3758, 6496, 10316, 15398?\n\"Answer: 30*c**3 + c**2 - 3*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 o, and 1 i when three letters picked without replacement from xocaiaa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 934 - -3?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 8344.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -1 (c) 1 (d) 5 (e) -229\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 6*c - 2*c. Suppose -3 = t, 3*d + 1 - c = -4*t. Solve d*s = -3*a - 5 - 5, 6 = -3*s + 2*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 12*r. Suppose -2*v + 2*k - 32 = 6*k, 15 = -5*v + 3*k. Let t be v + 16 + -6 + -3. Calculate s(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*2\/(-8). Let v = -64 - -67. Which is the nearest to 2? (a) v (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 27 - 10 - 6 + 15*k - 8 - 10. Suppose 5*x = 2*p + x + 6, -3*p + x + 11 = 0. Is 22 a factor of m(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -175 - 15900*m**3 + 15900*m**3 - 10*m + 5183*m**5 wrt m?\nAnswer: 103660*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/4 + 715\/44. Suppose -l*x = 22*x - 576. Solve -19*a - 15 = -x*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 16*m**2 + 25*m - 17. What is q(17)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-2) - 38\/(-304) and -99\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8528181 centuries in months?\nAnswer: 1023.38172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.89 + 0.11. Let o = s + -5. Let y = 1\/20 + 17\/60. Which is the smallest value? (a) o (b) y (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21245.8 + 21246. Let a = -10 - -7. What is the second smallest value in l, -1\/22, a?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.4, 12, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6157904, -12315812, -18473720, -24631628?\nAnswer: -30789536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 5*y**2 + 8*y - 9. Suppose -12 = -2*x + c, x - 1 = -2*c - 0. What are the prime factors of k(x)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9 - ((-195)\/13 + 2). Solve 4*f + 35 = 6*h - 3*h, 5*f + 45 = a*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/6 and -14\/56700837.\nAnswer: 113401674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0)\/((-1)\/3). Let h(o) = o**3 + 2*o**2 + 2*o + 4. Let a be h(g). Let f(z) = 172728*z + 8. Let s be f(a). Round s to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59? (a) -48 (b) -1.12 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -138\/40675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 - 1. Let k be (10\/(-7))\/((-4)\/14). Which is the nearest to -1\/4? (a) k (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96+1163907\nAnswer: 1163811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 331447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, p: 1, n: 2, v: 2}. What is prob of sequence nonv?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5 - 165*c**4\/2 - 2201*c**3\/2 - 5486*c**2 - 9624*c - 2080 = 0.\nAnswer: -20, -13, -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*w**3 + 0*w + 0*w**2 + 0.\nAnswer: w**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -9*z**2 - 12*z. Let m(f) = -f**2 - f. Suppose -23*u + 60 = -18*u. What is u*m(o) - c(o)?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*f + 4*t, -5*t = f - t + 18. Let c be (f\/4)\/(-2 + (-21)\/(-12)). Solve 0 = c*m - g + 2*g, 0 = -3*m + 5*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-4))\/3*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 3*z + 2 - 4)*(z + z + 0*z - 2*z - 3*z + 4*z + (2 - 4 + 3)*(-3 + 3 - 2*z) + 0*z - 2*z + 0*z - 5*z + 3*z + 0*z + 5*z - 4*z - 3*z - 4*z - z + 4*z).\nAnswer: 16*z**2 + 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7712989ng to milligrams.\nAnswer: 0.0000007712989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/308 and -19\/353626.\nAnswer: 7779772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196093.\nAnswer: 157, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 r when four letters picked without replacement from rlgqacaacgqcq.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*n - 12 + 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 14*d**2 + 2*d - 1. Suppose 0 = 8*t + 5 - 13. Let l be p(t). Suppose 20*i = l*i - 4200. Round i to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8003 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywr when three letters picked without replacement from {w: 2, y: 1, g: 6, v: 2, r: 6}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -92, -176, -260?\n\"Answer: -84*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 8 + 8)*(3 + 30 + 27)*(-3*r**4 - 2*r**4 + 3*r**4).\nAnswer: 240*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 226519925 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + n + 5. Let y be c(0). Suppose -2*t + y + 17 = 0. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -109*p. Let x(v) = 2 - 2 - 645430*v**2 + 645428*v**2. Calculate b(x(g)).\nAnswer: 218*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 907*z + 6. Let o be l(-4). Let f = 1878 - o. Round f to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*y - 88 - 131 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 5:12 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 22.36. Let o = -6.56 + l. Let n = 6 + o. What is the smallest value in n, 1\/4, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121126 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/13 - 267\/(253383\/68182).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53881 + -2747882\/51. Find the common denominator of (-229)\/(-204) + 2\/8 and j.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1785495.\nAnswer: 3, 5, 119033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-480)\/(-816))\/(4\/34)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5 - 892*u**4 - 51052*u**3 - 147844*u**2 - 146080*u - 48400 = 0. Calculate u.\nAnswer: -110, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089 divided by -2608?\nAnswer: -1089\/2608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 0.2, -3.4, 1 in ascending order.\nAnswer: -5, -3.4, -2, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.11 - 0.91. What is the biggest value in 16, k, 0.4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40612 is divided by 7562?\nAnswer: 2802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 < 70168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-14))\/((-12)\/(-14)). Let v be (-8)\/6*(-12)\/24. Let u = -462530\/3 - -154178. What is the nearest to v in -2, u, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 165.48 - 0.48. Let p = f - 93. Let r = -72.0000224 + p. Round r to six decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(20)\/sqrt(160)*1.\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 566 + -588. Let k = 17\/5 + -124\/35. Which is the nearest to -1? (a) -5 (b) u (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-8*21\/8232*-3).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 3*z - z)*(2 - 2 - 1) + 56*z + 52*z - 8 - 110*z.\nAnswer: -5*z - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584302 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 1. Let t(n) = 6*n**2 - 3*n + 2. Let s = -96 - -100. What is s*y(c) + t(c)?\nAnswer: 6*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 3\/10 (c) 2\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 503197583 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 1.91108628?\nAnswer: 3.08891372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1800)\/330)\/30 + (-26)\/(-22). Let k be (0 + (-2)\/3)*-54. Suppose -u = -a + k. Is 36 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 561 (base 9) to base 10\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*d**2)*(-6980*d + 4 + 3370*d + 3512*d) to the form r + j*d**2 + y*d**3 + b*d and give y.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -103 - 101. Suppose -f*i - 48 = -70*i. Calculate the lowest common multiple of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9600 and 1189248.\nAnswer: 29731200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104512*y - 104512*y - 2*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -9. Let q(b) be the third derivative of 7*b**5\/30 - b**4\/12 + b**3\/6 + 2*b**2. Let j be q(c). What is the greatest common divisor of j and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4027.51 - -673.81. What is y rounded to the nearest ten?\nAnswer: -3350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46210595 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -43*v. Let p be y(-10). Suppose -4*g + p = -686. Suppose -879 = -k - g. What is k rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 12*u**2 + 15*u + 5. What is h(13)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 4, i: 1, x: 2}. Give prob of sequence xxz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1256\/5 + 250. What is the smallest value in c, 0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.007 - 20.993. Let o = x + 20.9997. Round o to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 8. Suppose b + 5*n = 13, -5 = 3*n + 2*n. Suppose 10*l - 5*l = -2*r + b, 0 = -5*l + 5*r - 10. Solve g = 3*h - l*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11105612 (base 7) to base 14\nAnswer: 1adc09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.2, 3\/7, -0.3, 4.477474, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)\/(sqrt(12) + (3*(-2*sqrt(12) + sqrt(12)) - sqrt(12)) + sqrt(12)))\/(sqrt(27)\/(sqrt(27)*1)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 375*u**5\/2 - 6655*u**4\/4 + 17147*u**3\/4 - 4869*u**2\/2 - 368*u - 8 = 0. Calculate u.\nAnswer: -1\/10, -2\/75, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, b: 13}. Give prob of sequence bb.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 1203376*z**2 + 89066252*z + 1647826968.\nAnswer: -4*(z - 300918)*(z + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -12 + 5 - (-11 + (2 - 1))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 49, 459, 1567, 3721, 7269, 12559, 19939, 29757?\n\"Answer: 58*n**3 + n**2 + n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 21*l + 593. Let b be j(-3). What is the greatest common divisor of 80 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 321976 and 11086.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 y when two letters picked without replacement from deeyedddeddeeud?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 11) to base 2\nAnswer: -110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-125)\/777075)\/((-14)\/328014). Let l = i - -2\/5579. Find the common denominator of -1\/4 and l.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/250 and (-162)\/42 + 4 - 197\/105?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-135)\/(-6))\/(((-35)\/(-10))\/7). Solve -5*o + 0*d + g = -4*d, 2*d = -4*o + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 5*t - 7. Let x(d) = -1. Let k(z) = 3*x(z) - y(z). Let i(o) = o**2 - 6*o + 5. Let v(r) = 4*i(r) - 5*k(r). Factor v(n).\nAnswer: -n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*b = -7, 5*y - b - 11 - 15 = 0. Suppose -4*m + 591 = 3*z, 2*z - 232 = y*m + 139. Is z a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 - (-23 - (-1 - -11))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (238\/14)\/((-63325)\/(-298))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (14\/28)\/((-2)\/8))\/2. Let i(w) be the first derivative of -1\/3*w**3 + 7\/2*w**s + 28 - 2*w. Give i(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110101010 (base 2) to base 9\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 3:23 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 322928 and 144?\nAnswer: 2906352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 5*w**2 + w - 7. Let h(y) = 4*y**3 - y. Let m(l) = 5*h(l) + k(l). Let x(o) = -10*o**3 - 3*o**2 + 2*o + 4. What is -3*m(t) - 5*x(t)?\nAnswer: -7*t**3 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w\/w**(-33))\/w*w*w)\/(w**12*w))\/(w\/(w*((w*w**7)\/w*w)\/w)*w)**(-36) assuming w is positive.\nAnswer: w**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -0.5341, 1\/5 in increasing order.\nAnswer: -0.5341, 0, 1\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1391 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 109*a + a**2 + 0 - 115*a - 4. Let b(m) = -2*m**3 - 5*m**2 - 6*m - 21. Let n be b(-3). Determine v(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 183837 + -0.1\nAnswer: 183836.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {l: 2, h: 5, e: 3, y: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - -26) + (17 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.05199 from -3.\nAnswer: -1.94801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 549 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170866 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 3. Let j be (-102)\/(-1377)*60*-1. Let g = j + 107\/18. Which is the third smallest value? (a) r (b) g (c) -0.1 (d) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {b: 4, l: 1, i: 3, c: 1, u: 5}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2973 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 809.3691ms?\nAnswer: 0.8093691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 513 and 12711.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 b, and 1 a when three letters picked without replacement from {o: 3, e: 1, a: 2, b: 3, w: 2, k: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45619*d - 31690*d + 166148*d.\nAnswer: 180077*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t + 20. Suppose 2*l - 4 = -8. Let m(x) = 3*x - 21. Let c(p) = l*g(p) - 3*m(p). What is the units digit of c(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72904627561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2900001 + 5\/(2 - -3). Round s to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-432)*-4)\/((-87)\/27 - -3). Let z = -7561\/6 + 1257. Let m = -10\/3 - z. Which is the nearest to r? (a) 1\/3 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nllllnl. What is prob of picking 2 l and 1 n?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 0*r**2 + 1\/6*r**4 + 1\/3*r**3 + r - 1. Let n(w) be the first derivative of i(w). Find the second derivative of n(f) wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2009242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -201181 or -201183?\nAnswer: -201181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 27. Let o(c) = c**3 - 8*c**2 + 3*c + 7. Let w be o(z). Suppose 5*a = 2*h - w, 0 = -4*h + 4*a - 21 + 53. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 704\/2415 + -2\/345. Suppose -z = 4*z. Let o be (0\/(-1))\/(-2) - z. Which is the nearest to y? (a) o (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 10:12 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 240.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8067*c**3*j**3 + c**3*j - c*j**4 - 4090*c*j wrt j?\nAnswer: -48402*c**3*j - 12*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/9 and -85\/414.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (2 - (4 - 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.05, 2, -4537, 0, 0.2 in descending order.\nAnswer: 2, 0.2, 0.05, 0, -3, -4537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 4*h - 4, -5*h = 4*f - 119. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-5))\/(6\/(-75)). Let j be 1 + (2*6)\/3. Suppose -5*t + j*y = -x, -2*t - y - y + 8 = 0. Solve 0 = t*s - 25, p - 6*p = 4*s - 40 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(119) + sqrt(119)*5) - sqrt(119) - sqrt(119))\/(sqrt(7)*-4*3) + -3)**2.\nAnswer: 17*sqrt(17) + 5237\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 k when three letters picked without replacement from {s: 1, w: 5, y: 3, k: 3, l: 8}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -9787*c - 48936. Give v(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 - 3*x - 3. Let z(a) = -11*a**2 + 11*a + 13. What is 9*q(p) + 2*z(p)?\nAnswer: 5*p**2 - 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**3*v**2 + 9*o**3*v + 6*o**2*v**2 - 108*o*v**2 - o*v wrt o?\nAnswer: -6*o*v**2 + 54*o*v + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -189.69 rounded to the nearest integer?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 14*w**2 + 163*w + 2369. Calculate the remainder when 221 is divided by c(-14).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628*o + 567*o = 197*o - 34930 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1804?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159824*b**2 - 159845*b**2 - 159828*b**2 - 159787*b**2 - 159812*b**2 + 958828*b**2 - 159832*b**2.\nAnswer: -100*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 15*o + 2730. Let s be (-2)\/(-3) + o\/(-39). Suppose -f = -14 - s. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1339435*j**4*m**2 - 5*j**2*m**2 + 2*j*m**2 + 114*j*m + 5*j + 2*m**2 + 24*m - 104 wrt j?\nAnswer: 16073220*j**2*m**2 - 10*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713 is divided by 59.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 6*p**2 + 4*p - 3. Let l be d(-5). Suppose l*o - 136 = -2*a, 8 = -2*a + 4*a. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -75 (b) -541 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273, 1127, 2561, 4575, 7169, 10343?\nAnswer: 14097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64294 - 64300. Let j = 9\/14 + -1\/7. Which is the nearest to j? (a) p (b) -0.2 (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-18 - (-8 - -9))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/54 and -139\/492.\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(121)*2 - -3*-3*sqrt(121))\/((sqrt(363)\/(sqrt(11)*2))\/(sqrt(3)*-2*6)).\nAnswer: 504*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2108 + 2109. Solve -23 = 6*c + m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -2 - 9*d**2 - 1 + 8*d**2. Let s(t) = 0*t + t + t. Determine i(s(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6*k**3 - 4*k**2 + 13*k. Let l(v) = -6*v**3 + 3*v**2 - 13*v. Let q(x) = 4*l(x) + 3*n(x). Find the second derivative of q(b) wrt b.\nAnswer: -36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.067698 times -0.26?\nAnswer: -0.01760148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, f: 2, h: 1, s: 1, v: 2}. What is prob of picking 3 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 13\/5 (c) 0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*n = 7078, 0 = -6*c + 2*c - 5*n - 14178. Suppose 19 = 5*a - 2*j - 67, -a - 5*j = -28. Does 18 divide 4\/a - c\/99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4*c = 8, -33763*p = -33765*p - 2*c - 16 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = -2*o - 24*x, 965 = -3*x + 950 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.8. Let i = 17 - 17.5. Suppose 0 = -3*y - 6 - 9. Sort i, v, y.\nAnswer: y, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8*n**3 + n**2 - 5*n - 15. Does 75 divide k(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117305 divided by -41\nAnswer: -117305\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6189c (base 14) to base 15\nAnswer: -49931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 71, 79, 87, 95, 103, 111?\n\"Answer: 8*p + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 7:09 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 12. Suppose -k*q - 9 + 33 = 0. Let f = 13 - q. Solve -2*n - 4*d + 14 = 0, n - 4*d - 6 = -f*d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79 at most -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -246*i + 79*i - 13 + 0 + 9 - 164*i to the form k*i + v and give k.\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(-2*n**3 + 2 - 2) - 2*n**3 + 5*n**3 - 4*n**3 - n**3 + 2*n**3 - 3*n**3 + (-9*n - 116 + 116)*(-3*n**2 + 5*n**2 - 3*n**2).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-1 + -28) - (-2 - -1 - 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**2 - 20*f**2 + 28*f + 17*f**2.\nAnswer: 8*f**2 + 28*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*h**4\/21 + 22*h**3\/3 + 428*h**2\/21 + 314*h\/21 + 20\/7 = 0. Calculate h.\nAnswer: -1, -3\/10, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 19*m - 7. Let c(i) = i**2 - 10*i - 3. Let n(a) = -11*c(a) + 6*f(a). Let j be n(6). List the prime factors of j\/12*0 - -94.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + 7. Suppose -3*m + 46 + y = 0. Solve 2*c - p - 6 = 0, -5*p - m = 3*c - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5735848?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -381455000 to the nearest 100000.\nAnswer: -381500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 50. Calculate the highest common factor of k and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31022022103 (base 4) to base 8\nAnswer: -15121223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1219 - -1327. Calculate the greatest common divisor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 13 = -3*v - 5*a, 0 = -2*v + 4*a + 16. Let x be (-2)\/v - (0\/4)\/(-1). Let d be -3 + x - -91 - 3. What is the greatest common factor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 3}. Give prob of sequence jjj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -8, -9, -2 in descending order.\nAnswer: 5, -1, -2, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from uwddw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -7882144.\nAnswer: 1\/3941072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(7\/10)*i**(2\/5)*(i*i\/(i**16*i))**(2\/135) assuming i is positive.\nAnswer: i**(79\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 5, 11.416949?\nAnswer: 11.416949","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-9\/4)\/((q**4*q)\/q)*(q*q*q\/q**(-26))\/q*q\/q**15 assuming q is positive.\nAnswer: q**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, 41, 90, 149, 212, 273, 326?\n\"Answer: -q**3 + 14*q**2 - 2*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901.\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192989 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, 0.3, 80, 3, -0.4 in increasing order.\nAnswer: -2, -0.4, 0.3, 3, 10, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 14. Let j be 6*l*(-2)\/24. Suppose 4*u + j + 10 = 0. Is -3 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*b + 56, 28 = b + 2*b + 4*c. Suppose 17 - 5 = 2*h. Suppose 0 = h*d - 0*d - 282. Calculate the remainder when d is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c - 10. What is u(-7)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47800 divided by -2.\nAnswer: 23900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, u: 4, g: 1}. What is prob of sequence uyg?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 25, -18, -1\/4, 4.\nAnswer: -18, -6, -1\/4, 4, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -3756.9\nAnswer: 3753.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 51*f**2 + 2*f. Let q be m(6). Suppose 14*i - 8*i - q = 0. Suppose 3*l - 7*l = -i. List the prime factors of l.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102504*x*z**3 - 22292*x*z**2 - 8*x*z wrt z?\nAnswer: 615024*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25964*n**4 - 252*n**2 + 81749*n + 421.\nAnswer: 311568*n**2 - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*d - 80 - 79 = 0. Let j(c) be the third derivative of -7\/30*c**5 + 0*c**4 + 16*c**2 + 0 + c**d + 0*c. Differentiate j(s) with respect to s.\nAnswer: -28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (4 - (4 - (-2 - -5)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -100*g - 174. Let l be d(-8). Let s = -631 + l. Sort -27, s, 12 in increasing order.\nAnswer: -27, s, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*w - 518, -3*w + 848 = 5*r - 499. Let n = -260 + r. Calculate the remainder when 20 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*z**2 + 2*z**3 + 7*z**2 - 11322 + 11333 + z**4 + 4*z in the form m + k*z**3 + g*z + j*z**2 + y*z**4 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**3 - 2*l**3 - 2*l**3 + (-9*l - 25 + 25)*(2 - 2 + 2*l**2).\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 + 0.35. Let k = -108 - -75. Let l = k + 163\/5. Which is the second biggest value? (a) l (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-708)\/(-138)*25139\/(-8744)?\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58653 and 1026?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) + 22\/6. Suppose l = -u*c - 0*l + 58, 0 = 5*c - 5*l - 90. Solve 4 - c = 5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75414846 + -4.\nAnswer: 75414842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 - 1097*c + 114919. Determine r(85).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2412.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*b + 59 + 301 = 0 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3923 = 77*p - 73*p, 0 = -p + 3*q + 972. Put -1, 2, -3, p in ascending order.\nAnswer: -3, -1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rppujppueuph. What is prob of sequence rp?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 737458*w**2 - 1129953?\nAnswer: 1474916*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -5.7 (c) 6 (d) -902\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5392274 < -5392264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 3*l**2 + 5*l + 1. Let i be (-1)\/((-7)\/4 + 2). Give r(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(54))\/(3*sqrt(18)).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -192, -301, -408, -513?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**14)**21*b**(-26)\/b**(-1\/4) assuming b is positive.\nAnswer: b**(1073\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007050615603 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22739 is divided by 464?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2762560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 85 - 109 = 0. Sort o, -4, 43, 1.\nAnswer: -4, 1, o, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.47, -37\/89, -1\/14, -0.2, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 40*g. Let u be v(1). Suppose 0 = -2*c - 3*c - m + 59, -u = -4*c + m. Suppose 5*d = 65 + 375. What is the highest common factor of c and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1536.003 weeks to microseconds.\nAnswer: 928974614400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 4:54 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*g**3\/7 - 312378*g**2\/7 + 208258*g\/7 - 34710\/7.\nAnswer: -2*(g + 17355)*(3*g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n + 14*n + 34*n - 2*n + 1 to the form h + m*n and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 626268197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 514, 11\/6?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*q = m + 16, 2*q - 8 = -4*m. Suppose 0*t - m*y = -t + 16, 5*t - 4*y = 36. Sort -1\/2, -3, t, 6 in decreasing order.\nAnswer: 6, t, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -581 - -759. Let h = q + -177.9. Which is the fourth biggest value? (a) 3 (b) 1 (c) -6 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -792, -1587, -2382, -3177, -3972, -4767?\n\"Answer: -795*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/833, 1\/2, 7, -5, 5 in decreasing order.\nAnswer: 7, 5, 1\/2, -3\/833, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, t: 1, s: 2, h: 3}. Give prob of picking 2 s and 1 h.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -9*q**4\/4 - q**3\/3 + 15*q**2\/2 + q + 3. Differentiate l(m) with respect to m.\nAnswer: -54*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/1 + (-384)\/(-4). Let v = 166 + a. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3447292533 to the nearest integer?\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 1)*(-50*a + 49*a + 96*a) + (3 + 3 - 7)*(a - a + a) + 1 - a - 1 to j + m*a and give m.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**4 + 5*m**2 - 5*m - 3. Let c(b) = -2*b**4 + 3*b**2 - 3*b - 2. Let r(v) = -10*c(v) + 6*l(v). Differentiate r(y) wrt y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q - 7*q - 3*q - 11*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 94, 12, -4?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**4\/4 + y**3\/3 - y**2\/2 + 22*y + 2. What are the prime factors of t(0)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 123 = -4*x, -5*x = -3*a + 28 + 68. Suppose 4086 = -31*u + a*u. List the prime factors of u.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2707 divided by 98\nAnswer: -2707\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 253957 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11001\/610 + 362\/61. Let p = 9785 - 215335\/22. Calculate the common denominator of p and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**9\/5040 + m**5\/60 + m**4\/12 + 2*m. Let i(b) be the third derivative of r(b). Differentiate i(a) with respect to a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 9*v**2 - 5*v + 6. Let q(g) = g**3 - 5*g**2 - 5*g + 2. Let f be q(6). Let x be h(f). Suppose -x = -5*i + 165. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 561 and 7359?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 189, 280, 433, 648, 925, 1264, 1665?\nAnswer: 2128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 8 - ((-64 - -76) + 1 + -6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 32329237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9207.474ml in litres?\nAnswer: 9.207474","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 16. Is 8 a factor of k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11403*v**3 + 11922*v wrt v?\nAnswer: 68418*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-552)\/(-48) - 1*-3 - 30\/60. Let m = -1 - 0. Which is the closest to m? (a) -0.1 (b) s (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*f - 3000 - 29025 = 64*f. Calculate the greatest common divisor of f and 427.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(49) + sqrt(1225)) - (sqrt(2401)*1 + sqrt(2401)))\/(sqrt(63)\/(sqrt(36)\/(sqrt(28)\/sqrt(7)))).\nAnswer: -26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -177, -173, -159, -129, -77, 3, 117, 271?\n\"Answer: h**3 - h**2 - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 - 1)*(-n - n + 4*n) + (-2 - 3 + 6)*(2 - 2 - 10*n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*y - 17. Calculate the remainder when 25 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 948*n**2*q**2 - 152*n**2*q - 20*n*q - 4*q**2 - 2 wrt q.\nAnswer: 1896*n**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1600 and 263390400?\nAnswer: 263390400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 9*h - 14. What is n(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 34\/5 of a second?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653.2235 milligrams to tonnes.\nAnswer: 0.0000006532235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 155750 and 35?\nAnswer: 155750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-14))\/y**(3\/16) assuming y is positive.\nAnswer: y**(237\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 14*n + 3. Let b(u) = -15*u - 2. Let k(l) = -5*b(l) - 4*m(l). Is k(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, 4, 1, 19, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -12*r**3 + r**2 - r - 2. Let t be f(-2). Suppose -t = -4*y - m - 3*m, 5*y - 153 = 2*m. What are the prime factors of y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 234808 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**8)**(-1\/31))**22 assuming s is positive.\nAnswer: s**(-176\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + t. Let s(z) = -z**2 - z - 1. Let f(v) = -7*v**2 - 8*v - 4. Let d(x) = -f(x) + 4*s(x). Let g(u) = d(u) - 4*q(u). Let c(b) = 13*b. Give g(c(w)).\nAnswer: -169*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1584)\/(-594)*3\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -486692*g**4 + 58*g**2 - 957857229 with respect to g.\nAnswer: -1946768*g**3 + 116*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 - 23. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 - 10*g**2 + 4*g + 8. Let z be c(4). Is ((-12)\/z)\/((-48292)\/24152 + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 + -2 - (-6 - -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13944 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 7. Let h be q(-12). Find the second derivative of -3*z**5 - 2*z**5 + 14*z**2 - 160*z + 237*z + 8*z**h wrt z.\nAnswer: 60*z**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(6\/5))*t*t*t*t\/t**(-1\/3))\/((t*t\/(t*t**(-10))*t)\/t**(2\/17)) assuming t is positive.\nAnswer: t**(-1619\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*g**6 - 8*g**4 - 81*g**2 + g.\nAnswer: 1560*g**3 - 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3093 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + (19 - 25 - (1 + -4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 2.1, -77, -5.5 in descending order.\nAnswer: 2.1, -1, -2, -5.5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3060671 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 16*h = -27. What is the remainder when 19 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-8)\/2256*-36)*2.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -13. Let u(x) be the third derivative of p*x + 0*x**3 + 0*x**4 + 1\/360*x**6 + 0 + 1\/180*x**5 - x**2. Factor u(g).\nAnswer: g**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 11:30 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 422258?\nAnswer: -1\/422258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2616 = 1749*n - 1640*n for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttgpgptfpptgdp. What is prob of picking 1 g, 1 p, and 1 f?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -5, 1065 in descending order.\nAnswer: 1065, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2*k + 6*k)*(-3 + 3 + 5*k) + (5*k + 5*k - 3*k)*(-3*k + 2*k + 3*k) - 251*k - 26*k**2 + 251*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 3)*(-174 + 174 + 64*w**3) to the form d*w**3 + b*w + s + o*w**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 252 + -217.8. Round h to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-308)\/35)\/((-7634)\/41640).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2607333 kilometers in nanometers?\nAnswer: 260733300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 + 94. Suppose 6 + 2 = 2*d, -5*d + 90 = -5*u. Let w = l + u. What is the second biggest value in -0.4, w, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4839185, 9678495, 14517805, 19357115, 24196425, 29035735?\n\"Answer: 4839310*c - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**5\/20 - 5*y**4\/12 + 3*y**2\/2 + 2*y. Let w be g(5). Suppose -r + 36 = w*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**4 - 3*d**2\/2 - d - 5. Let f(m) = -9*m**3 + 7*m + 3. What is 3*f(q) + 7*t(q)?\nAnswer: q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*w - 5*y, -6 = 7*w - 5*w - y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(275\/20) + (-31)\/(-6045)*-91.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjrjppjprpjrj. What is prob of picking 3 j?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + (-1 + 10 - 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 2*g - 8 = 7*g, 3*j - 4*g - 7 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -30 (b) 1\/4 (c) -2\/9 (d) 183 (e) -0.5 (f) 5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d + d + 4*d)*(d + d - d) - 1 + 2*d**2 + 1 + 2*d**2 - 3*d**2 + 2*d**2 + (-3*d + 4*d + 0*d)*(0 + 0 - d) in the form c*d**2 + n*d + r and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -7*f - 35*f + 66. Put 85, f, -12 in increasing order.\nAnswer: -12, f, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1883976066.\nAnswer: 2, 3, 7, 2729, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2800 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 428 - 220. Calculate the smallest common multiple of g and 56.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 10. Let r be -26 - ((-2)\/(-4) + -1). Let x = r - -26. Sort -2, x, l.\nAnswer: -2, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37452144 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*z + 24*z = 0. Let j(q) = 4*q**3 - 3*q - 3*q**3 + 4*q - 11. Determine j(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -19) + -15 - -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 + -26. Find the common denominator of ((-21)\/27 - -1)*x and -13\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h. Let z be q(4). Suppose -3 = 4*d + z*k + 1, -k = -3*d + 1. Let p = 333 - 332.7. Which is the nearest to -1? (a) -2\/15 (b) p (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 1, -3, 0 in decreasing order.\nAnswer: 38, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**2\/2 + 76053405*o\/2 = 0.\nAnswer: 0, 25351135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/4 and -105\/109406.\nAnswer: 218812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 35*l**3 + l**2 + 1 - l + 0*l - l. Suppose n - 5*h = -24, h - 9 + 3 = -n. What is the remainder when r(n) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (7 + -2))*-1 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 255.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31264577.8 rounded to the nearest ten thousand?\nAnswer: 31260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(0 + 0 + 6*p**4).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0 + 3 = -s, -3*s = 9. Let k be 3 - 3\/(-6)*i. Factor o**3 + 4*o**3 - 3*o**3 + 2*o**k - 12*o + 8.\nAnswer: 4*(o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/225)\/(2\/12*1)*(-340)\/(-17).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 + 1 - 2. Let t = -1.7 + 2.2. What is the closest to -1 in t, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 760 - -640. Round s to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**3 + 43*b**2 + 238*b - 5. What is l(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -26*q**3\/3 + 483*q**2\/2 + 20*q - 1. Let k be y(9). Solve 6 = 2*b + 2*u - 4, 3*u = -5*b + k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3 + 3. Do o and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17137*k*w**3 - 908*k*w + 783031579*w**3 wrt k?\nAnswer: 17137*w**3 - 908*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198360 is divided by 1678?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 2. Let h be p\/(-33) + 106\/22. Solve 7*n = 2*n - h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 - 18 = -2*r, 2*q + r - 27 = 0. Suppose 0 = 5*l + 25, -7*m + 2*m = 4*l. Suppose v - q = m. What is the remainder when 53 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 9*l = 270. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6061 and 238903682?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 + d + 3*d + d**2 - 31 + 68 to the form z*d**2 + p*d + u and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 3, o: 1, b: 1, h: 7}. Give prob of picking 1 o and 1 b.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1792, -1805, -1806, -1783, -1724, -1617, -1450, -1211?\n\"Answer: 2*b**3 - 6*b**2 - 9*b - 1779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.2 - -19. Let v = a + -5.188. Let f = v + 0.39. What is f rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -266 + 266.0465. Let b = k - -0.1535. Sort -2\/13, b, 2\/11, 74 in ascending order.\nAnswer: -2\/13, 2\/11, b, 74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-86580)\/2730)\/((-12)\/(-21)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 42336015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/17 (b) -1 (c) -2\/5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/2)*l)**(-4\/7))**(18\/5)*(l**2*l*l**3*l*l*l)**(-1\/7) assuming l is positive.\nAnswer: l**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 5:30 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8134 and 22819024.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-1))\/((-129837)\/1130 - -115).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - v + 1. Let m be s(1). Let r be (-9)\/(-36) + m\/4. Let w(z) = -z**3 - 2*z + 19. List the prime factors of w(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4346875, -8693748, -13040621?\n\"Answer: -4346873*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 20. Does 15 divide 47 + 2 + u\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 5583.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 l when three letters picked without replacement from {m: 1, l: 8, r: 3, o: 2, e: 1, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112334?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**21)**(-47) assuming g is positive.\nAnswer: g**(-987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 868, 3499, 7890, 14041, 21952?\n\"Answer: 880*g**2 - 9*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -54, -5, -462 in increasing order.\nAnswer: -462, -54, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.137358 rounded to three decimal places?\nAnswer: -0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 144665338 rounded to the nearest one hundred thousand?\nAnswer: 144700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -102. Suppose d + 2*d = 0. Suppose -4*a = -5*z - d + 51, z = 4*a + 23. Calculate the greatest common factor of z and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 0, 2, 3 in decreasing order.\nAnswer: 3, 2, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 7 + (-40)\/10. Let x = -138 - -149.4. Let n = 6.4 - x. What is the nearest to 1\/3 in n, 13, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -21*p**4\/4 - 957*p**3\/4 + 1443*p**2\/4 + 1533*p\/4 - 423\/2 = 0.\nAnswer: -47, -1, 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*o + 5*x - 13 = -65*o, 17 = -5*o + 4*x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 301 - 41. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 3:30 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*d - 273 = -q - 162*d - 868, -162 = 6*d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45360*j**3*l - 3641*j**2*l**3 + 9870740*l**3 + 6*l**2 wrt j.\nAnswer: 136080*j**2*l - 7282*j*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 16*p - 10. Let n be x(15). Suppose -n*j = -a + 23, -4*j - 3*a = 3 + 4. Let y(q) = 4*q**3 + 5*q**3 - 8*q**3 + 3*q**2 + 5 - 2*q. Give y(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.19 (c) -29376.69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 - 5*h + 5*h - 29*h**2 - 223.\nAnswer: -29*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 4*t - 4*t + (-2 - 2 + 5)*(t + 2*t - 2*t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*i**3 - 821 + 247*i**3 + 414 + 407.\nAnswer: 408*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/(r\/(r**(-7)\/r))))**(-35))**22)**(-3\/10))**(-2\/5) assuming r is positive.\nAnswer: r**(-4158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -26*b + 1. Let p be w(-11). What is the highest common divisor of 41 and p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 15*q + 1070. Give s(-70).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11480 and 410.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -479627 - -79627. Round m to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 - 47. Calculate the lowest common multiple of i and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*v + 28*v + 13 - 14 - 30*v.\nAnswer: 62*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13301*l**2 + 3 + 4*l**3 + 7*l**3 + 6304*l**2 + 6997*l**2 - 41*l**3.\nAnswer: -30*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2916383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqxbelzql. Give prob of picking 1 l, 1 e, and 1 x.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -7.33, 1\/423 in decreasing order.\nAnswer: 0.1, 1\/423, -7.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o**(-1\/30)*o)\/o)*o**16)\/(o**4\/o)**(-2\/35) assuming o is positive.\nAnswer: o**(3403\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.9, -7\/9, -1\/2, -14.4?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 570 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 7*d + 12. Let k(p) = -2*p**2 + 5 + d*p**2 - 8*p + 4*p - 7*p. Is k(11) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1978*g - 9893. Give a(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93 by 8906.\nAnswer: -93\/8906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (519 - 519 + 66*x**2)*(0*x + 0*x + x)*(-11 - 5 + 0).\nAnswer: -1056*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-7 - -6) + 6 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 27*g**2 - 54*g + 48. Does 4 divide t(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - 3*q**3 - 2*q**2 + 2*q**3)*(2 - 1 + 1)*(-1 + 6 - 3)*(-4*q**2 + 3*q**2 + 2*q**2).\nAnswer: -4*q**5 - 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 16 = 2*v - 5, -5*v + 4*d = -15. Suppose v*j + 95 = 12*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*j**3 - 78*j**2 + j - 3567 wrt j.\nAnswer: -15*j**2 - 156*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/14)\/(9\/(1260\/100)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 3:13 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 5*v - 4. Let b be d(3). Let y be (1686\/(-4))\/(-3) + 84\/(-168). What is the highest common divisor of y and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*w = -164, 6*w - 2*w + 16 = 0. Let a = -49 + 34. Let p = n + a. Does 23 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 2)*(2*i - i + 2*i)*(-2*i**3 - 1 + 3*i**2 - 3*i**2) as a*i**2 + p*i**4 + s*i**3 + x*i + v and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -390562\/16095 - -2692\/111. Let z = -3 + 2.5. What is the third biggest value in z, 1\/4, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffaaaafffaaf?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257238 divided by 2.\nAnswer: -128619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a. Suppose -4*f = f - 20. Let b(s) = -f*s + 4*s + s. What is b(i(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/6583 + 223860\/125077. Calculate the common denominator of -21\/16 and t.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161.72 + 162. Which is the fourth biggest value? (a) t (b) -2\/11 (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220664876?\nAnswer: 2, 71, 239, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*j - 9 = 0, 3*n = 7*n + j. Let p be (n - 1)*-1 - 0. Suppose 0 = -5*q + 2*u + 2*u + 46, 3*q + 2*u - 10 = p. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 199 = 1. Let t be ((-12)\/d)\/((-2)\/(-264)) - 4. What is the common denominator of 43\/9 and (-3 + t\/(-28))\/(4\/(-22))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*z - 5*p, 8*z - 10*z + 3*p + 11 = 0. Suppose 6*s = z + 14. Solve 0 = -o - s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/19, -112, -0.3, -198 in ascending order.\nAnswer: -198, -112, -3, -0.3, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4 - 46*k**3 + 42*k**3 in the form l + x*k**2 + i*k**3 + q*k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 = 107859*q - 107848*q for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1999 by 11.\nAnswer: -1999\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8595?\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27778350321 minus -188?\nAnswer: 27778350509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 32709\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 27*j**2 - 26*j + 29. Let o be n(-28). Sort -4, o, -0.4 in ascending order.\nAnswer: o, -4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 928417 and 14203.\nAnswer: 1883758093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152062 is divided by 411?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*l - 27*l**4 + 90*l**2 - 15*l**3 + 141*l + 22*l**4 = 0. What is l?\nAnswer: -5, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/20 - (-18)\/(-40))\/(24\/(-180))?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 3240204203?\nAnswer: -3240204203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -34, 49, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 233938980 divided by -2420?\nAnswer: -96669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (51\/2)\/(18\/24) and 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/33345974 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2280, -1750, -1210, -660?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-2*5)\/(1*15\/(-15))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*l + 449 = 4*l, -4*b - 3*l + 597 = 0. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 + 0.36. Let i = -71\/345 + 5\/69. What is the smallest value in a, i, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-198)\/88)\/((15\/2)\/5)*10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 2*y**3\/3 - 4*y**2 - 2*y. Calculate the lowest common multiple of 6 and d(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3626.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 56*a - 136 = -20*a. Sort 5, a, 0, 31.\nAnswer: 0, a, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/924 and -157\/12712700.\nAnswer: 38138100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 13*y**2 + 13*y - 14. Let j be r(-14). Suppose j = 5*m + 2*q - 6*q - 104, -5*q - 105 = -5*m. Calculate the least common multiple of m and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2163*f**2 - 6*f + 9390?\nAnswer: 4326*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27090 and 45?\nAnswer: 27090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/5 and -83\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*x + 106*x + 371*x + 112*x + 147*x.\nAnswer: 383*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**3 - 10\/7*v - 4\/7*v**5 + 2\/7*v**4 - 4\/7 + 2\/7*v**2 = 0.\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*h + 20 = -4*p + 83*h, 3*p + 15 = 6*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n - 7*n - 1380 = 0. Solve -3*r + n = -13*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, -0.1, -5\/4 in increasing order.\nAnswer: -74, -5\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + sqrt(1900) + 2*sqrt(1900) + 5 + (sqrt(1900) + 1)*-5 + -3 + -2)**2*3*-3.\nAnswer: -17325 - 900*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 5*w + 6. Suppose 3*t + t = -20. Calculate o(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 15*x - 134. Calculate k(12).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**4 + 6*c - 4*c + 0*c**4 + (6*c**2 - 3*c**2 - c**2)*(c**2 + 2*c**2 - 5*c**2) - c**4 - c + c + 3*c**4 - 3*c**4 - 2*c**4.\nAnswer: -10*c**4 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 1. Let l be h(3). Suppose 0 = -l*y + 52 + 33. Let o = 26 - y. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001295001609 to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*z**2 + 14*z**2 + 9*z**4 - 39*z**4 - z**3 wrt z?\nAnswer: -720*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*447\/4470*1\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 40 - -6?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 4:42 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - z + 5)*(39*z + 30*z - 27*z) + 2*z - 7*z**2 + 3*z**2 + z**2 in the form x*z + p + m*z**2 and give m.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 11:19 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(4\/3)*y*y*y*y**8)\/(y**(-9\/2)*y**(-1)) assuming y is positive.\nAnswer: y**(97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*g + 45 = -323*g + 171*g. Calculate the highest common divisor of 570 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -2*u + 14*u. Is 337 - (u - 0 - 12) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 0 + 11*i - 31\/12*i**4 + 0*i**2 + 0*i**3. Let g(a) = -4*a**2. Give f(g(v)).\nAnswer: -496*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (0\/1 - 4). Suppose -4*n + 2*s - 60 = s, 64 = -3*n - 4*s. Let u be -3*(n\/v)\/2. Solve -u*f - y + 14 = 0, 0 = -3*f + 3*y + 14 + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -543061 (base 7) in base 14?\nAnswer: -26731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 744714?\nAnswer: -744717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 688, 0.4, 2, 0.2, 11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzlzlzazalllllal. Give prob of picking 3 a.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 + 26*f**2 - 15*f - 14. Is t(12) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m + 4. Let s be c(-1). Suppose s = -4*u + 18 - 2. Solve 3*r = u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 37*b + 117. Suppose 5*u = -4*q + 35, 3*u + 7*q - 4*q - 18 = 0. Calculate the lowest common multiple of u and z(-3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 5*c = 58*c - 3053 for c.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -2\/11, 0.3, 0.5, -4 in decreasing order.\nAnswer: 15, 0.5, 0.3, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1061 - 2*f**2 - 81*f**4 + 82*f**4 - 1059 + 17*f**3 + f as k + t*f**3 + q*f**2 + y*f + u*f**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-two fifths of a day?\nAnswer: 14976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*l + 33*l - 2*l)*(l - l - 2*l + (-4 + 2 - 2)*(-2*l + 6*l - 2*l) + 2 - 2*l - 2).\nAnswer: -624*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**5\/4 + 498*r**4 + 471579*r**3\/4 - 97764845*r**2\/2 + 68250669*r - 19486638 = 0.\nAnswer: -311, 2\/5, 1, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 k when three letters picked without replacement from {k: 3, p: 9}?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -20\/24420343?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1470610593.\nAnswer: 3, 23, 151, 15683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -742.2 + 742. Let s = -1198\/225 - 2\/225. What is the third biggest value in j, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 - 87*a + 10. Let q(n) = n. Calculate h(q(t)).\nAnswer: 2*t**2 - 87*t + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-16)*-42 + -7 + 6\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62*y**3 + 17*y**2 + 190*y + 17467411?\nAnswer: 186*y**2 + 34*y + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2 + 36. Suppose g*r - 30582 = 18021. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975506508.\nAnswer: 2, 3, 151, 179453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - -21. Let b(z) = 11*z - 144. Calculate the least common multiple of b(15) and o.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3746 - -3754. Solve 0 = -3*y - 4*c - 9, 2*y - 3*c - 19 = -d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -3*g**6\/4 - 3*g**5\/10 + 3*g**4\/4 - 17. Factor k(o).\nAnswer: -3*o**3*(o + 1)*(3*o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 + 9*x + 3. Let f(r) = 3*r + 5. Let a be f(3). Suppose -10*y = -8*y + a. Is b(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1681 - 2?\nAnswer: -1683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255121.\nAnswer: 255121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-2 - -1) + (-7 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/7*(19770\/(-690) - 3420\/(-120)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 507 + 498 + b)*(-4*b**3 + b**3 - 5*b**3).\nAnswer: 24*b**4 + 72*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 779 and 2852083?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54704, -54779, -54854, -54929, -55004, -55079?\nAnswer: -55154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + (0 + sqrt(3))*2 - -4*sqrt(75)) + 5)**2.\nAnswer: 230*sqrt(3) + 1612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 12:15 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9*q**3 - 8*q**2 + 24*q + 33. Is g(18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(96\/(-20)))\/((-4470)\/(-447))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15 - 13 - (-2)\/(-1). Put -11, 8, t in decreasing order.\nAnswer: 8, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 149404 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) + (-1)\/4. Calculate the common denominator of 12\/(-8) - ((-69)\/2 - -2) and u + -32*(-1)\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2272*z**3 + 5196?\nAnswer: 6816*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200202020 + 3003?\nAnswer: -200133011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*p + 19 = 0, 0 = -0*j - j + 2*p - 4. Let z(f) = 2*f**2 + 3*f - 39. Let g be z(j). Solve -6*t = -t + g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2. Let k(f) = 447*f**2 - 605*f. Calculate k(u(t)).\nAnswer: 1788*t**4 + 1210*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1205049 to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 133000000 rounded to the nearest one million?\nAnswer: 133000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 16 - 11)*(2 - 2*b - 2)*((-5 + 18 - 12)*(2*b + 0 + 0) + b + b - 3*b).\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 851757072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220110 (base 3) to base 9.\nAnswer: 2813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.2 and -5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d - 6. Let x(i) = 3*i + 5. Let c(b) = -6*x(b) - 5*y(b). Let f(r) be the first derivative of 11*r**2\/2 + 18. Determine f(c(o)).\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 155e60 (base 15) to base 11\nAnswer: 645901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 46?\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + f**2 - 3*f + 6. Determine r(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (15 - (-33 - -32)) + (-54 - 4)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23724*h**3 - 489*h?\nAnswer: 142344*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -154?\nAnswer: -1\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/6)\/(-1)*(-11361)\/7574?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940 less than 2946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*l = x - 150, 4*x - 5*l - 223 = 0. Suppose -5*k + k = -x. Let d = k + 29. Calculate the remainder when d is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 376180364 by -644.\nAnswer: -584131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzyz when four letters picked without replacement from yzzzzyyzzyzzzygzy.\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -3*l - 11*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**3\/3 - 7144*z**2 - 258480*z - 2330208 = 0.\nAnswer: -18, 5394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13211 + -1001?\nAnswer: 12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5 - 2*i**4 + 2*i**3 + 2*i**2.\nAnswer: -2*i**2*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*j - 4*t - 2, 5*j + 6*t + 17 = 3*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 17, d: 1}. Give prob of sequence wwd.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/53? (a) 2\/11 (b) -2.8 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -446.64 times 184?\nAnswer: -82181.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38 - 110?\nAnswer: -109.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5 = -5*g, 3*g - 6*g - 4*j = -3. Let s(l) = g - 44*l - 6*l - 2 - 8*l. What are the prime factors of s(-2)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 405 - 403. Suppose u + 0 + 1 = 0. Let g be -1 + u - (-1 - 1). Sort g, q, 15 in descending order.\nAnswer: 15, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 take away -103.3?\nAnswer: 37.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -334, -323, -226, -1, 394, 1001, 1862, 3019?\n\"Answer: 7*d**3 + d**2 - 41*d - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -3) + 0 - -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 2. Let z be 3 + 15\/10*8\/6. Suppose 2*n - h = -z. What is the closest to -1 in n, -2\/5, -0.06?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116811*0.0521.\nAnswer: -6085.8531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*b + 3*m - 4, 0 = 4*b - m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80584628?\nAnswer: 2, 20146157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**5 + 5*c**4\/2 - 200*c**3\/3 + 160*c**2 + 7514. Factor j(l).\nAnswer: 5*l*(l - 4)*(l - 2)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -218 - -150. What is the common denominator of (-1)\/(-3) - i\/21 and 3 + (68\/22 - 3)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 748 and 682.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -4*h**4 + 149740*h**3 - 149728*h**2 - 299472*h = 0.\nAnswer: -1, 0, 2, 37434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*u**3*y**2 - 5*u**3 + 97*u**2*y**3 - 24*u with respect to y.\nAnswer: -4*u**3*y + 291*u**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110110 - -1?\nAnswer: 1110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 0.4, 1, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 3\/4 (c) -32 (d) 0.2 (e) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 5 - 21 = -3*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 44*i**5 - 2*i**4 + 27*i**2 + 5*i - 2. Let t(f) = f**4 - f**3 - f + 1. Let v(l) = -b(l) - 2*t(l). Find the third derivative of v(q) wrt q.\nAnswer: -2640*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575135132.\nAnswer: 2, 11, 13, 1005481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 12:13 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290 and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1. Let q(v) = v**2 + 10*v - 13. Let l(w) = -3*g(w) - q(w). Is l(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6299 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.18693024 to 1 dp.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242823 and 150319.\nAnswer: 3156699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (38 - 32 - (-3 + 3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -2*l**2 + 1211*l - 38. Is j(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158 * 0.11176\nAnswer: -17.65808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, q: 2, c: 4, x: 2}. Give prob of sequence xt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2243 + 6?\nAnswer: 2249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.49497126 + 3.4959. What is t rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwnnwqnwxnwwqnnxnxwq. What is prob of picking 1 q, 1 x, and 2 w?\nAnswer: 63\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 2. Suppose -2*j + 8*j - 270 = 0. Suppose -s - 3*i - 1 = -36, -2*s + j = i. Calculate the remainder when s is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b + 59*b - 2794 - 1822 - 1548 = 0 for b.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -194 and -0.919.\nAnswer: 178.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1477258112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-12)\/(a*a**(7\/5))*(a\/a**(5\/2))**0 assuming a is positive.\nAnswer: a**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 5)*(-2*n - 2*n + n)*(5*n**3 - 3*n**3 - n**3) + 68*n**2 - 68*n**2 - 23*n**4.\nAnswer: -29*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3172 and 258115156?\nAnswer: 3172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w - 4. Let g(c) = -23*c - 11. Let d = -56 - -73. Calculate d*q(s) - 6*g(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13389, 26650, 39907, 53160, 66409?\n\"Answer: -2*b**2 + 13267*b + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -6\/13*t**2 - 4\/13 + 14\/13*t = 0. Calculate t.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2322.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*z - 16 + 19. Let m(a) = 104*a**3 + a + 1. Determine m(z).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 123*d. Let h(l) = -189*l**2 + 70*l**2 - 5*l**2 + 72*l**2 + 78*l**2. Give g(h(i)).\nAnswer: 3198*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 2, f: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 605140581 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/5 - 2124\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -1, 4, -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**9\/30240 + p**8\/3360 - p**6\/90 - p**5\/30 + p**2. Let u(i) be the third derivative of h(i). Suppose u(x) = 0. Calculate x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357405739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 6, -692?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 13) to base 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.2 (b) -0.5 (c) 1922\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 4*o - 4*o)*(-22*o - o - 19*o)*(-15*o + 0*o + 4*o - 19*o).\nAnswer: -2520*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29566994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from bdubz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91285 is divided by 10688?\nAnswer: 5781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-2 - -7)) + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -496 - 119. What is the tens digit of (z\/9 + -7)\/(2\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 61, 27, 9, 1, -5, 4 in descending order.\nAnswer: 61, 27, 9, 4, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 291 and 408.\nAnswer: 39576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45447401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 650183 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 2*a + 0*a)*(0 + 4 - 2 + 3 - 23 + 3 + 3 - 5 + 1 + (2 + 3 - 4)*(2 - 2 + 1) + 2 - 3 + 0) + 4 - 4 - 2*a + (2*a - 3*a - a)*(1 - 3 + 0).\nAnswer: 34*a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Convert 123783 (base 15) to base 3.\nAnswer: 1122022202220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from nnnnmnnznztwznnzq.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127.999874 + -128. Round z to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v. Let t(o) = -238*o**2 + 4*o + 36. Give d(t(f)).\nAnswer: -952*f**2 + 16*f + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 - 6*a - 6. Let r(x) = -5*x**2 - 18*x - 17. Let n(d) = -8*i(d) + 3*r(d). Calculate n(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100111 - -11101?\nAnswer: 1101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40054354 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.7 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2593664 (base 10) in base 5?\nAnswer: 1130444124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 - 17*w. Let a be u(-5). Let n(f) = f**2 - 10*f + 6. Let t be n(a). Suppose -11*x = -t*x - 470. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-16)\/40*2\/26.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((25\/100)\/(1 - 0))\/(84\/32)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -64721*l**2. Let v(o) = o. Give g(v(t)).\nAnswer: -64721*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 397, 1594, 3577, 6340, 9877, 14182, 19249, 25072?\nAnswer: 31645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9819 - 94596?\nAnswer: -84777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21771*r**4 - 294*r**3 + 101552*r + 29 wrt r?\nAnswer: 261252*r**2 - 1764*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**5\/4 - 435*a**4\/4 + 7135*a**3\/4 + 1023555*a**2\/4 + 8304875*a\/2 = 0.\nAnswer: -79, -29, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 157*w + 10. Let c(m) = 2*m + 8. Determine -2*c(u) - d(u).\nAnswer: -u**2 + 153*u - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 e when four letters picked without replacement from {e: 3, s: 6, t: 2, i: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1519\/2805 + 1\/255. Suppose 0*w + 6 = -2*w. Let v be ((-8)\/(-12))\/((-10)\/w). Which is the nearest to i? (a) -2\/11 (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 0*a + 2*a)*(-a**2 - 2*a**3 + a**2) + 2*a**4 + 2 - 2 + 4*a**4 + 0*a**4 - a**4 + 6641*a - 6641*a - 258*a**4.\nAnswer: -251*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 15) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93929 = -2*g + 37*x - 42*x, 4*g - 5*x - 187873 = 0. What are the prime factors of g?\nAnswer: 67, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/(-10) + 1)*-10. Suppose -41 - 23 = -h*j. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49514283 is divided by 323?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 181 times 1084980\nAnswer: 196381380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(4\/7)\/n*n**(-4)*(((n\/((n\/(n\/n**2)*n*n)\/n))\/n)\/n*n)**(1\/3) assuming n is positive.\nAnswer: n**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 163055 or 163063?\nAnswer: 163063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u - 3 + u - 1 + 2*u. Let a(w) = 2*w + 8. Let k(v) = -3*v**3 + 24*v**2 - 20*v - 4. Let x be k(7). Calculate x*a(b) + 7*y(b).\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7515.357 + 7517.7890561. Let m = -12.1680529 - j. Let a = 14.6 + m. What is a rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51189?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 276074, 276063, 276046, 276023, 275994, 275959, 275918?\nAnswer: 275871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26224?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 231, 2, -352?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -91750350*h**3 + 311716626.\nAnswer: -275251050*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.274 + -0.774. What is the closest to 1 in a, -2\/3, -0.02, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 16*k + 10*k. Let b be 18\/(-63) + 2\/7. Let w(z) = -z**2 + 6*z + 5. Let s be w(6). Put b, k, s in decreasing order.\nAnswer: s, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**6\/60 - j**5\/60 + j**4\/24 + 7*j**3\/2 - 3*j**2. Is n(0) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114251 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -6*y. Let w be (-1)\/((-6)\/112) - y\/(-6). What is the highest common factor of 19 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 3*g**2 + 13*g - 1. Let o(u) = -u**3 - 4*u**2 + 12*u - 2. Let d(t) = -5*o(t) + 4*z(t). Let r be d(-9). Put 1, r, -9 in ascending order.\nAnswer: -9, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2537 + 6*b**2 + 94 - 5*b**2 + (-2 + 2 - 2*b)*(-2*b + 0*b + 0*b) + 2*b**2 + 2 - 2 + 3*b**2 - 2*b**2 - 3*b**2 + 0*b**2 - 2*b**2 + 0*b**2.\nAnswer: 3*b**2 + 2631","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5626251470 - 1386448031. Let u = -4239803245.0000097 + y. Let t = u - 194. What is t rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 172*j - 32. Let d(i) = -7*i + 1. Let r(a) = -24*d(a) - s(a). Let x be (1 + -3)\/((-2)\/8). Let q(b) = -3*b + 5. What is x*q(k) - 5*r(k)?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -15*c**3 + 2*c**2 - 1. Let r be x(1). Let z be ((-217)\/35 - -11)*90\/8. Let n = z - r. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 1289*h**7\/210 - 5*h**4\/24 + 73*h**3\/6 - 1019*h**2. What is the second derivative of r(j) wrt j?\nAnswer: 15468*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18422, 36844, 55266?\n\"Answer: 18422*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 != -5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -16*r**3 + 2*r**2 - r. Let m(w) = -33*w**3 + 5*w**2 - 2*w. Let x(g) = 5*a(g) - 2*m(g). Is x(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.38432 to 2 dps.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + 4 + 92 + -95?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(sqrt(21) - sqrt(21)*3) + sqrt(21))\/(sqrt(35)\/(sqrt(40)\/sqrt(8)) - sqrt(7) - sqrt(7)).\nAnswer: -9*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5626053 (base 8) in base 5?\nAnswer: -342044020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, -20\/13, -2\/3, 2\/13, -5.\nAnswer: -5, -3, -20\/13, -2\/3, 2\/13, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -171\/128 or -1?\nAnswer: -171\/128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.5054 centuries in years?\nAnswer: 20850.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 124546040 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 951545369 to the nearest integer?\nAnswer: 30847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/24 - (-2 + (-460)\/24). What is the derivative of -l - f**2 + 23 + 27 + 20 - 88*f wrt f?\nAnswer: -2*f - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -83, -629, -2111, -4997, -9755, -16853, -26759, -39941?\n\"Answer: -78*h**3 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 5*n - n + 0*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b*c**2*p**6 - 11*b*c**2 + 24097*b*p**4 - 2*b + c**2*p - 2*c**2 - 137*c*p**2 - 2*c wrt p.\nAnswer: 480*b*c**2*p**3 + 578328*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*w + 360, -83 = 3*w - 3*n - 629. Suppose 5*i + 3*v + 633 = 0, -i + 2*v - 376 = 2*i. Let l = i + w. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 greater than -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from {c: 3, b: 2, j: 9, u: 2, p: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (67 - (-2 + 19 - (41 + -34)))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3728724?\nAnswer: 2, 3, 310727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1827 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8476 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 1. Let p(z) = 4 + 4 - 2 + 3*z - 5. Determine 5*m(l) + p(l).\nAnswer: -2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41534039 to the nearest integer?\nAnswer: 6445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 219 - 879\/4. Let k = -2.4 + 2. Let y = 3 + 2. Which is the second smallest value? (a) k (b) l (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (31323 + -5)\/(2 - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 28*x + 54. Let f be h(-26). Suppose 4*r - 6 = -2*o, 4*o - 2*o = f*r. Which is the third biggest value? (a) 0.1 (b) r (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 129*b - 1908. Let t be q(15). Suppose -3*j - i + 101 = -61, 2*j = -2*i + 108. What is the greatest common divisor of j and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -12. Solve -w*i - 5 = -15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -131*v**6\/30 + v**5\/12 + 3671*v**4\/6 + 14*v**2 - 43. What is the second derivative of w(m) wrt m?\nAnswer: -3144*m + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 182 + 22*h**3 + 10*h**4 + 10*h - 22*h**3 - 12*h**4 wrt h.\nAnswer: -8*h**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42, 186, 464, 906, 1542?\n\"Answer: 5*t**3 + 37*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 6. Let l be q(6). Let r = -35 - -33. Let s be r\/4*(-3)\/l. Sort -2, s, 1\/9.\nAnswer: -2, 1\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -237*d**3*m**3 + 4*d**3*m*r + 5*d**2*m + 2*d*r + 16*m**3*r + r wrt d?\nAnswer: -1422*m**3 + 24*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 12\/5, -74 in increasing order.\nAnswer: -74, 0, 12\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -650463904 to the nearest one hundred thousand.\nAnswer: -650500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, t: 9, p: 7}. What is prob of picking 1 t and 2 o?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dntnhnd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s + 5. Let d be o(31). Let i = d + -239. Calculate the remainder when 76 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/14 - ((-32)\/(-2912))\/(-1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-5 - 0\/2. Let u(g) = -g + 1. Let m(k) = -3*k + 12. Let z(q) = m(q) - 4*u(q). Let a be z(f). Solve a*v = -v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - x)*(-11 + 15 + 9).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2773 - 2807 + 2*b**2 + 4*b**2)*(0 + 2*b**2 + 0) as w*b + z + o*b**4 + c*b**2 + t*b**3 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40 - 40 + 18*r**2)*(3 - 2*r - 3) to k*r**3 + c*r + q + h*r**2 and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33079 + 99242\/3. Let h(k) be the third derivative of u*k**3 + 1\/150*k**5 + 6*k**2 + 0*k - 1\/6*k**4 + 0. Suppose h(t) = 0. What is t?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4806.91 + 4807. Which is the closest to -2? (a) -1\/5 (b) z (c) -3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from {h: 4, n: 2, b: 1, x: 2, z: 4, u: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - 32. Let k = -47 - y. Suppose 1889 + 15 = k*g. List the prime factors of g.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6340491.\nAnswer: 3, 234833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 12. Let m = x + -1. Let t = 0 + m. Solve 0 = -3*c + t*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6513945363 to the power of 1\/3, to the nearest integer?\nAnswer: 1868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*u*y**2*z + u*y**2 + 652*u*z + 5*u - 11*y**2 + 13 with respect to z.\nAnswer: 35*u*y**2 + 652*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/123 + -880\/6519. Let j = q + -3647\/106. Calculate the common denominator of -47\/8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*w - 28 = 0, 6*l = 2*l + w + 17. Suppose 2*i - 35 = -l*i. Suppose -g = 9*g - 140. Calculate the greatest common divisor of g and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 7. Let n be i(6). Solve -3*y = -2*y + n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 4*s**2 - 12*s**2 to l*s**2 + w*s + f and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-two fifths of a microgram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2459785 is divided by 175698?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 13*b - 25, 0 = 4*i - 3*b - 1469. Suppose 356 = -a + i. Calculate the greatest common factor of a and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, t: 1, q: 7}. What is prob of picking 1 k and 2 q?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4062 or 0?\nAnswer: 4062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*x**5\/6 + 5465*x**4\/6 + 148855*x**3\/3 + 229070*x**2\/3 - 38540*x = 0. What is x?\nAnswer: -123, -94, -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230702653783\/760 - 303556068. Let h = u + -1016\/19. What is the common denominator of 64\/55 and h?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 185*h + 1. Let c be j(1). Let v = c + -130. Is ((-55)\/(-20))\/(2\/v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 53*n - 27. Let d be m(27). Put d, -5, 3, 1 in descending order.\nAnswer: 3, 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048948 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/2136 and -23\/104.\nAnswer: 27768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -433500, -1\/5, 599, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 7. Let c be -1 - (2 + 2 + -13). Let h be (b\/4)\/((-4)\/c). Sort h, 1, -4 in ascending order.\nAnswer: -4, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1, -2\/37, -8, 274, -23, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 834, 815, 796?\n\"Answer: -19*p + 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 108\/45*10\/6. Suppose 4*c - 4928 = -4*f, 1764 = -h*c - 5*f + 6694. Round c to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**1\/(q*q\/(q**(-5)\/q))*(q*q\/q**(2\/3))\/(q**(-6)\/q) assuming q is positive.\nAnswer: q**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 7*n**3\/3 + 3*n**2\/2 - 4*n + 36. Let v = -1 - -4. Let a be t(v). Calculate the greatest common factor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 69.8 and 82.\nAnswer: 151.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by -46.\nAnswer: 49\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145 divided by -6.\nAnswer: -145\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o + 3*o**3 - 1 - 4*o**3 - 8*o. Let v(x) = 3*x**3 - 3*x**2 + 21*x - 3. Let y(l) = -6*r(l) - v(l). Factor y(f).\nAnswer: 3*(f - 1)**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65818.47 kilograms in milligrams?\nAnswer: 65818470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - -5) + (-1 - -92) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -842 - 1204 = 186*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 0*c - 2*c)*(-5 + 3 - 5)*(-3*c**2 + 0*c**2 + c**2).\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w = -21*w - 180. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*k - 4*u, 14 = k - 0*k - 2*u. Let s be k\/55 + (-42)\/(-11). Suppose -4*m + 48 = s*b, 4*b = m + 7 - 39. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 245 = 5*m. Let j(s) = s + 2. What is the remainder when m is divided by j(11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -39. Let j = 31 + -15. Suppose 2*o + 0*o = j. Calculate the least common multiple of o and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.575 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 8*w**2 + 9*w + 5. Let g be u(9). Suppose g*n + 45 = -4*n. Let z(t) = -2 + 3 + t + 2. Calculate z(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1593 + -1590. Let f = 22 + -18. Solve -2*h + 0*w + 6 = f*w, o = h - w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/13, -3\/11, 5 in increasing order.\nAnswer: -3\/11, 3\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 4*i**2 + 3*i + 2. Let j = 22 + -19. Let s be d(j). Let c(w) = 5*w**2 + 0*w**s - 6*w**2 + 4 + 4*w + 0*w**2. What is c(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**18*r)**(-3\/10)\/(r**(-20))**(4\/5) assuming r is positive.\nAnswer: r**(103\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 8*y**2 + 11*y + 11. Let g be a(9). Let i = 24 + g. Let u = i - 7. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2*v = 0, 4*o - 5*v = -1 + 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 5*u**3\/3 + u**2 - 4*u. Does 11 divide r(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2151, -4146, -5663, -6462, -6303, -4946, -2151?\n\"Answer: 40*m**3 - m**2 - 2272*m + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/26906285 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.15, -154, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.3 (b) 4853\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3835 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 341 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzy when three letters picked without replacement from yyzzzzzz.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-76 - -57 - -47)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-130)\/260*(-36)\/15. Factor -1\/5*r + x - 1\/5*r**2.\nAnswer: -(r - 2)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-70)\/180 - ((-41)\/(-6) - 7). Which is the fourth smallest value? (a) -3 (b) 3\/2 (c) p (d) 0.93 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**3 + 14*k**3 - 54*k**3 + 10*k**3.\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/4 - 33687*x + 404352.\nAnswer: -3*(x - 12)*(x + 44928)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38767, 38761, 38755, 38749, 38743?\nAnswer: 38737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**11*k*k)\/k*k**(-12))**(-2\/19) assuming k is positive.\nAnswer: k**(42\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -769 and -771 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + (6 - (-73962)\/(-102)). Let u = -713 - f. Let g = 2.5 + -2. Which is the biggest value? (a) u (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2779074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*q + 13, -2*k + 32 = -3*q + 2*k. Let z(f) = -6 + 0 + 2 + 1 - 7*f. What is the tens digit of z(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 14064\/115 and 121 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-324 - 132 - 830)*(-2*m - 4 + 4 + (-m + m + 2*m)*(-2 + 1 + 2) + m - 3*m + m + 0 + 0 + m + 0*m + 3*m - m).\nAnswer: -2572*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2, -a - 9*r + 5*r = 0. Let j(u) = -4*u**2 + 3*u - 12. Let p be j(a). Let c = p + 152. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -99, -373, -825, -1455, -2263?\n\"Answer: -89*z**2 - 7*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17417\/14 - 1244. Let m = 10.2 - 11. Let d = m - -0.8. What is the closest to d in -2, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15352 (base 12) in base 9?\nAnswer: -44868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 + 6*n + 2. Let g be i(-1). Calculate the common denominator of (g\/(-7))\/(2536\/(-504) - -7) and 0 + 2\/((-40)\/6).\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 554610 divided by 21.\nAnswer: 26410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2841897 is divided by 94.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3 + 218*k**2\/3 - 160*k + 136\/3 = 0. What is k?\nAnswer: 1\/3, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34924967 * -1.\nAnswer: -34924967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3017652 = 9*p - 20238348. Round p to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 26. What are the prime factors of (p - 1) + 435\/15?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g. Let j be k(-2). Let w be 1*(2 - (-9)\/3). What is the remainder when 16 is divided by ((-72)\/j)\/4*w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w**2 + w - 1. Let v be l(1). Let i = v - -9. Let j(g) = -68*g + 30 - 70 + 22 + 24 + 69*g. Give j(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -21. Let d = 10 + i. Put -1, d, 0.5 in ascending order.\nAnswer: -1, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2 + 3*s + 2 + 4. Suppose 5*g - 4 = 3*n, 0 = 2*g - 3*n - 2 + 4. Let l(b) = -3 + 20*b - g - 24*b. Determine 5*h(z) + 4*l(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**7\/630 + l**5\/30 + l**4\/4 + 11*l. Let q(n) be the third derivative of t(n). Solve q(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380*p - 15374 = -3*k + 376*p, 20516 = 4*k + p. Which is greater: 5128 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*((-4)\/10)\/(30\/25). Put 1, -9, -5, l, -1 in decreasing order.\nAnswer: l, 1, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8*y**2 - 264*y + 7. What is i(-36)?\nAnswer: -857","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 + 1032\/132 + 76\/55. What is the smallest value in i, -2\/9, 5\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 6:54 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(-2)\/(-16)*-158. Let w = v - -40. Find the third derivative of -24*c**5 + 43*c**2 + w*c**4 - 119*c**4 wrt c.\nAnswer: -1440*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccbccbcccccc. Give prob of sequence cb.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7987)\/14)\/(2\/(-4)). Let u = s + -609. Suppose -3*t = t - u. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*t + 376013 - 373633 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23148 less than -0.22?\nAnswer: 23147.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -277 + 301. Calculate the smallest common multiple of 90 and n.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9122659087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-5))\/((-5)\/(-75)). Suppose -9*l + 15*l = a. Sort 2, 20, l in decreasing order.\nAnswer: 20, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 - 8*l**2 + 9*l - 5. Let d be c(3). Suppose 109 = d*m - 27. Is 34 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18060\/350 - (8\/(-5))\/4. Calculate the greatest common divisor of p and 598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 11:12 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -3)*2*51\/(-8). Let m = t + -53. List the prime factors of 270\/14 - m\/(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 12 + 20 = 0. Calculate the remainder when (u\/6)\/(3\/45) is divided by (12 + 2717\/(-228))*168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.434 and -5.6?\nAnswer: 6.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2413 - (215 + -20)\/15. Calculate the highest common divisor of 1050 and t.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -2. Let g = -51\/10 + 107\/20. What is the nearest to 1\/3 in j, -1\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*h + 68 = 98*h. Solve 16*p = h*p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95 times -1\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -5*d + 4*h - 5, 4*h - 18 = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1622566 by 1622566.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -4*r**5\/5 - 3*r**4 - 4*r**3 - 2*r**2 + 12. Solve o(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 2*h + 0*h)*(0*h + 0*h + 2*h) + 1 + 0 + 2 + 2*h**2 to the form q + v*h + z*h**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 23*d**2 + 2*d - 2. Let y be f(-2). Let m(c) = -3 + 81*c - 60*c + y*c. Is m(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11028)\/(-9))\/((-2)\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8\/13 - -3\/26. Let n be (-114)\/(-15) - ((-2)\/5 - 1638\/(-195)). What is the nearest to 1 in s, 0.8, -5, n?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 725\/11, -0.4?\nAnswer: 725\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + 5. Does 23 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*y + 14 + 14, y + 4*h - 8 = 0. Let d = -24 - -44. Calculate the lowest common multiple of d and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -2 (c) 4\/9 (d) -0.009 (e) 7\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3038 = -2*h - 0*h. Let o = 2362 - h. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13959 and 163053?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 - 11276*j\/5 - 67728\/5.\nAnswer: 2*(j - 5644)*(j + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 less than 54\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41057655 to the power of 1\/3, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 + -6.98. Let y = -11 - z. Let v be (6\/10)\/(2\/10). Which is the closest to -1? (a) v (b) y (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 1:44 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15*(2 - -1130)\/((-25)\/(-35))?\nAnswer: 2, 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 3*t**2 - t + 3. Let f be y(-3). Let n be 3 + ((-39)\/52)\/((-1)\/(-4)). Is f\/(-4)*-10 - n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41376, 82754, 124132, 165510, 206888?\nAnswer: 248266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 158 = -3*v, 2*v - 44 + 222 = -5*q for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 20*n**2 + 34*n - 28. Let w be d(-18). Let v be (-7)\/((-7)\/w) - 5\/1. Solve 4*u = -r + v + 6, -4*u = 4*r - 24 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 > 141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*s - d, 0*s + 5*d = s - 14. Let l(r) be the first derivative of -s*r - 1 - 1 - r**4 - 6*r**2 + 6*r**2. Find the first derivative of l(j) wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84*h**2 - 84*h**2 - 45*h**4)*(2*h - 1 + 1).\nAnswer: -90*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 12. Let f be b(4). Which is greater: 0.3 or f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-119)\/(1078735\/(-98))*(-5)\/(-1)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4810744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d\/(d*d**1))\/d)*d**(-30) assuming d is positive.\nAnswer: d**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40872779\/24 or 1703031?\nAnswer: 40872779\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**0*v*v*v\/(v*v**(-9\/2)\/v)*(v*v**0*v*v)**(-2\/23)*v\/(v\/(v**1\/v))*v*(v*v\/(v*v**3))\/v*v*v**(-9)*v*v**8 assuming v is positive.\nAnswer: v**(287\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.245 - 8.845. Sort 1\/7, 2\/7, v in decreasing order.\nAnswer: 2\/7, 1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 6406*q - 3239*q - 3225*q to j + k*q and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3 = -3*h. Let k(o) = -o**3 + 2*o**2 + 4*o. Let z be k(3). Let s = z - h. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 10*r + 3. Let m be 7*(2 + 33\/(-21)). Suppose 35 = 5*t - 5*d, -4*d = -5*t - m*d + 31. Calculate u(t).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2706191873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3816, -3844, -3884, -3930, -3976, -4016, -4044?\n\"Answer: z**3 - 12*z**2 + z - 3806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/8*p**4 + 27\/8*p**3 + 33\/2*p - 45\/4*p**2 - 9.\nAnswer: -3*(p - 3)*(p - 2)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6\/1169 (b) -2\/7 (c) -156\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 + -3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6552*c**2 - 91659*c - 969. Give y(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -63. Which is the nearest to o? (a) -1 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 420 and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 + 6*j**3 + 4*j**3 + 7*j**3 - 2*j**2 in the form x + n*j**3 + m*j**2 + i*j and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -789 + 861. Solve -19*l = 5*l + m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*2\/66)\/((-1)\/(-3)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a7b (base 12) in base 14?\nAnswer: 7b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 739241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16914*o**2 + 26 - 27 + 16910*o**2 + 707*o to q + k*o**2 + g*o and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -10143.297 to the nearest ten.\nAnswer: -10140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 249113*n**2 - 3487435*n - 12205851.\nAnswer: -(n + 7)**2*(n + 249099)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 308489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115\/78 - -1\/39. Suppose 287 - 335 = 2*i. Let r be 1\/(1 - i\/(-16)). Which is the second smallest value? (a) s (b) 3 (c) 13 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 141345 and 2645.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -60 in 19, 244, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 294*y**6 + 2*y**2 - 43*y?\nAnswer: 35280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280 and 667695?\nAnswer: 5341560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5309494437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvb when three letters picked without replacement from bybbvsnnynm?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.1, -11, 1\/280, 25?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnbd when four letters picked without replacement from nffbcuunfddndbud.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -35*o - 99. Let i(r) = -107*r - 196. What is 5*c(q) - 2*i(q)?\nAnswer: 39*q - 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*p**3 + c**3*p + 1476107*c**2*p**2 + 322330*c*p**3 - 2*c*p wrt p?\nAnswer: -6*c**3 + 1933980*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 835?\nAnswer: 27555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 7*r = 42 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -339804157 - 487?\nAnswer: -339804644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 7:18 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)*-4)\/sqrt(4) + (sqrt(49)\/sqrt(7))**2 + 1.\nAnswer: -4*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/80*1*-3*5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from mzzmmypzmm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.1 + 23. Is n != 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83590.3 kilograms in milligrams?\nAnswer: 83590300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*1 - sqrt(76) - sqrt(76))*-6)\/((sqrt(4) + sqrt(16) + sqrt(4))*4).\nAnswer: 3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a3602 + -2a?\nAnswer: 4a3583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 4:36 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1630835223.\nAnswer: 3, 543611741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -b + 3*u + 2, 4*b + 2*u + 24 = 0. Suppose -5*n + 9 = m, -8 = 5*m - 5*n + 7. Let d = m - b. What is the least common multiple of d and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 2:02 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -70325.\nAnswer: -2\/70325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (161\/14835*301)\/((-7)\/(-2))\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 98048649?\nAnswer: 98048649.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 4*j + 18. Let r(k) = 7*k**2 - 12*k + 13. Let b be r(1). Calculate the lowest common multiple of 22 and m(b).\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and (6\/(-3))\/(((-10)\/(-435))\/(-1)).\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 992\/3120 - (-4)\/10. Let b = o - 2\/39. Let j(t) = -2*t. Let m be j(-2). What is the biggest value in 2, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 469, 356, 241, 124?\n\"Answer: -v**2 - 110*v + 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21964*d**4 + 495753*d**2?\nAnswer: -527136*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -128 - 1545*i**2 - 2*i - 67*i**6 - 1354*i**2 + 128 wrt i.\nAnswer: -8040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 165 = 3*w, 4*w + 5*j - 165 = w. Let c = w - 53. Suppose 6 = 3*t, -c*a + 4914 = -t + 1114. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69806925.000134 + -69807054. Let b = -129 - u. What is b rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 553975 - 233052. Round g to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16092, -15916, -15740, -15564, -15388, -15212?\n\"Answer: 176*m - 16268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -105, -143, -181, -225, -281, -355, -453?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20*((-54)\/15 - -4). Let l = -10 + 32. What is the remainder when 338\/k + 11\/(-44) is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/6))**(-1\/11)*w**3\/w**8 assuming w is positive.\nAnswer: w**(-331\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 264\/7 less than -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 4039.46 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.101698 milligrams in micrograms?\nAnswer: 8101.698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*x + 3. Let f be (14\/35)\/(x\/(-10)). What is the third derivative of 2*k**2 + 0*k**2 - f*k**4 + k**4 wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*u*z - 92070*u - 95*z - 8216 wrt u?\nAnswer: 12*z - 92070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/39)*n\/(n\/(n\/(n**(6\/7)\/n*n)))*n**(-4\/17)*n**(-31\/5)\/n assuming n is positive.\nAnswer: n**(-168031\/23205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -940578, -940016, -938484, -935496, -930566, -923208?\nAnswer: -912936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 4048376.\nAnswer: 4048376.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -586 + -540?\nAnswer: -ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -558 + 560. Suppose -3*i = -5*p - 75, a*i = 12 - 2. Calculate the common denominator of -107\/26 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -22030*t - 523. Is a(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/12 in 15, 3\/7, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 1 + 7. Suppose -310 = -d*x - 3*x. Let a = x - 43. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + w**2 - 2081*w + 4141*w - 2084*w)*(-w + 5*w - 2*w) in the form a*w**3 + n*w**2 + h + x*w and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6780213 and 126873.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 36.74 (c) 2\/11 (d) 35 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 8. Let j = d + -2. What is the remainder when 1 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elu when three letters picked without replacement from {g: 1, q: 1, l: 1, u: 1, e: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*p - 2981076 - 3085082. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -3. Suppose -11*u + 14*u + 12 = 0. Sort -5, o, u in increasing order.\nAnswer: -5, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -76832a + -466?\nAnswer: -768795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*q - 202 + 14202. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -997\/2 at most -500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 8 (b) -3\/5 (c) 2 (d) 1\/83 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:18 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 - 2) - (-1 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/(6*(-6)\/(-216))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-12))\/((-406)\/261)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -10054.399?\nAnswer: -4021.7596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121*o**6 - 31*o**3 + 35663*o**2 wrt o.\nAnswer: -14520*o**3 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 15*w**2 - 3*w + 10. Is k(4) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.056 times -45\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17831 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 16 - (1 + -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121 a factor of 5060194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1100) + (sqrt(1100) + sqrt(1100)*-2)*6 - sqrt(1100) - sqrt(1100))**2 + -5*(4*(-1 + sqrt(1100)) + sqrt(1100) + sqrt(1100))**2.\nAnswer: -144183 + 2400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**5 + 3*y**3 - 3*y**3 + (0*y**2 + 2*y**3 + 0*y**2)*(3*y - 6*y**2 - 2*y - 2*y).\nAnswer: -10*y**5 - 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtwpk. What is prob of sequence dp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 + -75.011.\nAnswer: -59.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 2*r + 589. Let z(k) = 14 + 11 + k**2 - 8*k - 8 - 2. Let f be z(5). Is s(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 1\/6*a**3 + 0*a**2 + 2*a + 0 - 1\/4*a**5 + 0*a**4. Give b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -764 * 0.5\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1500 and 339500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3630334 is divided by 330027?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*r - 4*c, -r = -0*r + c - 5. Let n be 2 + 11 - (16\/(-4) + r). Solve -5 = -4*t + n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 6:54 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -317066374 and -317066374 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7480851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 2*d**2 - 13*d - 12. Let j(r) = -3*r**2 + 52*r - 174. Let g be j(13). Determine t(g).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -15*j + 13. Let m(v) = 13*v - 13. Let i(h) = -7*m(h) - 6*s(h). Let z be 13 + (2 - 1)*-3. Let r be i(z). Solve 6 = -k + r*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**2\/2 - 644825*w + 415799280625\/2 = 0.\nAnswer: 644825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286 and 432223.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 17048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 r, and 1 k when three letters picked without replacement from rqakhaaarraraaahr?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.155 <= -5424\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(175)*-3 + 3 + -4.\nAnswer: -15*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 6*n - 16 = 4*j, 5*n = -j - 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w - 4 + 0 + 4.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**3 + 315928*f**2 + 23716516*f + 46169288 = 0.\nAnswer: -73, -2, 79057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/1705*-99)\/((-2)\/((-40)\/6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 95, 206, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -5, 5, -4, -33, 7 in ascending order.\nAnswer: -33, -5, -4, 5, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0, -4\/7, 1, -0.14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1376*m**5 + 76866864*m**4 - 1073515695478*m**3 + 586672443992*m**2 - 92056833246*m + 3120563044 = 0. Calculate m.\nAnswer: 2\/43, 1\/4, 27931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n + 2. Let m(f) = f - 3 - 3 + 3 + 6 - 2. Give 4*m(y) - t(y).\nAnswer: 7*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506704.\nAnswer: 2, 11, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2036\/13 - 29739\/182. Let p = 6 + -5. What is the common denominator of q and ((-14)\/8)\/(-5 + p)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 720*y - 424 + 24 - 78*y**2 + 141*y**2 - 387*y**2 = 0. Calculate y.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 10:46 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 10. Let n = -8 + a. Suppose k - 8 = n. Calculate the remainder when k is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i + 18*i + 90 - 228 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448150105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11\/6))**(-14)*(s**(2\/79)\/s)**(2\/41) assuming s is positive.\nAnswer: s**(248941\/9717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = 0, -5*s - a - 2*a + 257 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9040 or -9122?\nAnswer: -9122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 238 + ((-2)\/18 - (-1540)\/252). Is m greater than 734\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2. Let p(w) = 546378860*w. Give k(p(q)).\nAnswer: 298529858654899600*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkqqjjqqk. Give prob of picking 2 k and 2 j.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/7)\/((((h*h**(-5))\/h)\/h)\/h*h)*h**(-2\/3)\/(h**4*h) assuming h is positive.\nAnswer: h**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9226612 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j = 2. Let f(g) = 2*g + 12. Let c be f(-5). Solve 0 = -j*t, -c = 3*h - 2*h + 5*t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-1 + 16 - 0) + 7 + 0).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -19\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 632 - 631.45. Let n = -0.6 - -0.2. Put 1\/5, k, n in increasing order.\nAnswer: n, 1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 12*q**2 + 76*q + 375. What is l(-4)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b5 (base 13) to base 2.\nAnswer: -10010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 48 = 4*o - l, 3*o - 5*l + 12 = 0. Let y be -14 - (o + 9 + 1\/1). Is -15 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/4, 0.5, 5, 1, -517.\nAnswer: -517, -2, -1\/4, 0.5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 127 divided by -5\nAnswer: -127\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 21. Let b be z(0). Let r = -18 - b. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 7) to base 8\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/7 (b) 42 (c) 282 (d) 25 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -61*q - 426. Let n = -24334 + 24327. Calculate k(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + f + 1)*(2*f**2 - 4*f**2 + 0*f**2) - 2*f**3 + 0 + 0 + 4*f**3 - f**3 - 5*f**3 - 2*f**3 - 2 + 2 - 2*f**2 + 2*f**2 + 2*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 33 + 22. Let d(b) = -b**3 - 13*b**2 - 22*b + 1. Let c be d(m). Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**6\/30 - 5*u**3 - 32*u. Let k(x) be the second derivative of i(x). Let y(h) = h**2. What is 4*k(n) - 54*y(n)?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 - 84.075?\nAnswer: -271.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/4292 and 17\/222?\nAnswer: 12876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6801, -13606, -20411, -27216, -34021, -40826?\nAnswer: -47631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, u: 5, n: 1, t: 9}. Give prob of sequence ntuo.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3729\/16 - 233. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2282 a factor of 452854107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15508 - 8*i**2 - 15526 + 31034.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a day in minutes?\nAnswer: 15264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90760, -90746, -90732, -90718, -90704, -90690?\nAnswer: -90676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 12:48 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*x = -136 - 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2304.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -20*r - 97. Determine x(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0*u**3 - 36*u**4 - 23*u**4 + 0*u**3 + 2*u**3 + 8*u**4 to the form p*u**2 + f*u**3 + h*u**4 + q*u + z and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -9029\/711?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 5:09 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 11:46 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6747*n**2. Let z(o) = -3*o. Give u(z(w)).\nAnswer: -60723*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 435 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/93222285 and 44\/18644457.\nAnswer: 93222285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 28*f**2 + f. Let u(o) = 44*o**2. Calculate z(u(q)).\nAnswer: 54208*q**4 + 44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -221\/1910 + 3\/191. Let h = 169\/153 + -15\/17. Sort h, f, -3\/7, -4.\nAnswer: -4, -3\/7, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(-x**2 - x**2 + 0*x**2) - 7*x**2 - 4 + 4.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 + 669891*i\/2 - 13062114.\nAnswer: -(i - 669852)*(i - 39)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/27 and ((-4)\/18)\/(143664\/34821)?\nAnswer: 8856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 6.2622?\nAnswer: 6.2622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*w + 3*m = -44*w + 45, 0 = w - 5*m + 43 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(18) - (sqrt(21) + -3*(-1*sqrt(21) - sqrt(21))))\/(sqrt(14)\/sqrt(32) + sqrt(224)\/sqrt(2)).\nAnswer: -80*sqrt(3)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -55. Suppose 5*s + u = -34. Let a = -4 - s. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -8. Suppose 0 = -3*n - 2*n. Suppose 2*z - 117 + 113 = 0. Solve -z*l - k = -n*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(4 + -1) - -3. Suppose u*w + 5*w = 25. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2\/1 + (-23)\/(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 443 or 19787?\nAnswer: 443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159115 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:39 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*n + 36*n = 180292. Calculate the remainder when n is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l + 46. Let n be -22 - (-935)\/44 - 34\/8. Calculate p(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 10:52 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9559586 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34.963624 - -0.014624. Let u = g - 0.051. Let l = -35.000053 - u. What is l rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*k = 136, 5*k - 133 = -4*d + 45. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, q: 2}. Give prob of sequence qbq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**3 - 250*g**2 + 2240*g - 4640 = 0.\nAnswer: -58, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 2*s + 2. Let d be o(2). Let a = -29 + 25. Sort d, a, 4.\nAnswer: a, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(18)\/(sqrt(36)\/sqrt(6)) + -5 + sqrt(132)\/(sqrt(77)\/sqrt(7)))*-2 + 5.\nAnswer: -15 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(3\/(18\/2)) + 15. What is the highest common factor of 8 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -90 - 1?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 6:47 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**5\/20 + 5*k**4\/12 - k**3\/2 + 5*k**2\/2 - 113*k - 95. Let c(n) be the first derivative of h(n). Give c(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/7 - 1012*l**2\/7 + 128102*l\/7 - 127088\/7 = 0. What is l?\nAnswer: -611, 1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3117 = 33*b - 708 for b.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1852*x - 1858*x + 1 + 13*x**3 + 3707*x - 8*x**2 + 3*x**2 to d*x + m*x**3 + p + z*x**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**3 - 5*y**2 + 4*y + 5. Let n be (603\/9)\/(1\/(-1)). Let s = -60 - n. What is the remainder when i(3) is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.016 * 65.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 439, -0.5, -5 in decreasing order.\nAnswer: 439, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 282 + -3664\/13. Let f = -9253 + 9255. Let t = -0.5 + 0. Sort 1, t, f, z in decreasing order.\nAnswer: f, 1, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-97)\/(-9) + (-6)\/(-27). Let v be ((-1)\/(1\/106838))\/(a\/(-63)). Suppose r = 10552134 + v. What is r rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 1\/865, 315, -1 in descending order.\nAnswer: 315, 1\/865, -0.08, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 - 5*j + 38. What is o(8)?\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2437 - 10660?\nAnswer: -13317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = 14*g - 1968. Calculate the remainder when g is divided by 3\/(4 - 3) - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-116)\/(-42) - 9\/27) + -2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -725 + 729. Solve d*o = -0*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 64*a - 237. What are the prime factors of l(60)?\nAnswer: 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 1. Suppose -11 = f - 5*u, 0*f + 4*f + 44 = -u. Let v(r) = 5*r**2 - r + 5. Let j(p) = f*c(p) - 2*v(p). Solve j(l) = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*f**5 + 692*f**4 - 928*f**3 + 208*f**2 = 0. What is f?\nAnswer: -26, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllylllyyll. Give prob of sequence yy.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 353883 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 148 minutes before 12:52 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*u - 5856 = -21*u + 44*u - 1306 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 4. Let q(n) be the first derivative of -8*n + 4*n + 2*n + 10*n - 30 + n**2. What is -4*q(f) + 9*w(f)?\nAnswer: f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d. Let r be (3\/((-9)\/(-6)))\/(18 + -20). Determine x(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1563*c - 1569*c - 72 = 0. Let s(i) = i + 27. What is s(c)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -201 (b) -4\/99 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -2692\nAnswer: -9\/2692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a**2 - 181*a - 186*a + 384*a to the form t*a**2 + y*a + k and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2333 + 31?\nAnswer: -2302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9*n + 16*n - 6*n. Let z(p) = -123*p. Calculate z(u(b)).\nAnswer: -123*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -97508192\/7 equal to -13929741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 990a9?\nAnswer: 990aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 116822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3))**(8\/9))**(-2\/15)*(g**(1\/2))**(-12)*g**(-5\/3)*g*g*g*g\/g**(7\/5) assuming g is positive.\nAnswer: g**(-2068\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - u + 91906, -3*u + 22620 = 5*w - 130554. Calculate the highest common factor of 276 and w.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*60\/200*64\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2522.3 + -4\nAnswer: 2518.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4782, -9592, -14436, -19326, -24274, -29292, -34392, -39586?\nAnswer: -44886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-34) + -26 + (-152724)\/(-5746).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 152 + 0*c**4 - 302 + 4*c**2 + 153 - 2*c**4 in the form l*c**4 + w*c + j*c**3 + q*c**2 + z and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-136)\/6)\/((-8586)\/(-12879)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 36. Let g be (8\/(-12) - (-8)\/12)\/2. Calculate u(g).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/13728*-110)\/((-10)\/(-4)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*t - 1931, 2*v - 3*t - 3832 = -t. Let d = v + -1298. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*k = 23, -35 = -5*j + 2*j + 5*k. Suppose -2*x = -5*s - 84 - 59, 5*s + j = 0. Let v = x - 13. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.38967 years to millennia.\nAnswer: 0.00938967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15243702*s**5 - 2661*s**2 - 427*s + 2?\nAnswer: -914622120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -65? (a) -0.2 (b) -57 (c) 2 (d) -2\/13 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15389466 is divided by 166?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 349*j**2 + 4*j**3 + 2 - 351*j**2 - j**4 + j + 0*j**4 as g*j**3 + a*j + h*j**4 + r + f*j**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r + 1420 = -61*r - 81*r + 286 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 z when three letters picked without replacement from wwwpwrwwrzwpwpprwpwr?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -179 - -186. Is y greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 967814874 and 8.\nAnswer: 967814882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(1 + 0 + 1 - 1 + 2 - 2 + 2 - 4 + 3 + (0 - 2 + 0)*(-3 + 5 - 4) - 2 + 4 - 1)*(48*u + 48*u - 16*u).\nAnswer: 1120*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 15 = 9*o. Solve 0 = o*d - 6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b + a = -9, -b + 4*a = -22. Let w be (2\/(-4) + 0)*0. Solve 2*k + b = 0, w = -5*d + 3*d + k + 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1006693 (base 10) to base 16\nAnswer: f5c65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -13. Suppose 48*c**3 - 21*c**2 - 15*c**4 - 63*c**3 + i*c + 3*c**5 + 42*c**3 = 0. Calculate c.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*q**2 + 8*q - 2*q**2 + 18*q**2)*(-86 + 86 - 62*q)*(1 + 0 - 5).\nAnswer: 992*q**3 + 1984*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from yiigeoz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8056487372*m**2 - 4 - 8056487377*m**2 + 4.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**3 - 82*g**2 + 43*g + 34. Let s be j(-21). Solve -22 = s*p + 30 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 2:52 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 421449 = 421450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 886.3585 decades?\nAnswer: 106363.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -56.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 14*i**2 + 3. Suppose -61*o + 265 = -66*o. Let h = -60 - o. Let q be a(h). Solve -q*u = u + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -51041 >= 138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 11\nAnswer: -38\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1620544.8 months?\nAnswer: 13504.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/(((-326)\/(-489))\/(2\/(-21)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.683867 + -125744?\nAnswer: -125744.683867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -9. Let t = -2 + c. Let f(w) = 2*w**3 - w**2 + 3*w - 2. Does 8 divide f(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373997061 a multiple of 1613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 + 35\/5)\/((-21)\/28). Which is greater: 1.26 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 8 + 39)*(-132*s - 70*s + 80*s) as n + r*s and give r.\nAnswer: -4026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 31*d**3 - 3*d**2 + d + 2. Let v(x) = -x**3 - x**2 + x. Let q(r) = v(r) - w(r). Let i be q(-3). What is the units digit of ((-6)\/(-4))\/(22\/i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/3)\/((-2)\/(-6)). Suppose 0 = f*q - 22*q + 72. Solve w = q*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152 (base 12) to base 14.\nAnswer: -10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 12*c**2 - 2*c + 16. Let x be 8\/(-40) - 32\/(-10). Suppose -x*l - 57 = 4*f, 2 = -l - 1. Does 11 divide j(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 1, -3*v - 3*p - 2*p = -20555. What are the prime factors of v?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 11*m - 407. Let q be u(39). Suppose -q*z + 2*z = -391940. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 - 49. Suppose 0 = 2*r - 90 + v. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 4978?\nAnswer: -1\/2489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/1)\/(4\/26). Suppose f = -5*p + 28. Find the third derivative of p*s**6 + 0*s**6 - s**6 - 2*s**2 wrt s.\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + j + 4. Let g(h) = 5*h**2. Let y be g(-1). Suppose 0 = -y*n + n + 4. Let u = 4 - n. Give m(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + k - 17. Calculate y(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = 130*h - 948 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**6\/120 + 3*h**5\/20 - 5*h**4\/12 + 7*h**3\/6 + 7*h**2. Let n be l(-10). Suppose -k + n = -1. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 723 - 229659*t**3 - 723.\nAnswer: -229659*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*r + 39*r - 25*r**2.\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 6:27 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2675 divided by 107\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**3 + 8*o**2 + 12*o**2 + 11*o**2 - 32*o**2 - 2 in the form r + h*o + x*o**2 + d*o**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1693 in -2, 0.7, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 43*p + 353. Let k be l(-33). Solve -b - 4*t = -k + 4, -4*t = -3*b - 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5 = -0. Solve -s = -2*w + 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*a + 2 + (2*a - 2*a + a)*(-5 + 3 + 3) - 2*a + 2*a + a)*(-7 - 42 - 38 + 14)*(1812*a**2 - 1812*a**2 + 77*a**3).\nAnswer: 5621*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*q = 28, 3*c = 2*q + 18 + 66. Suppose 4*p - p = -12. Let u(z) = z**3 + 4*z**2 - 2*z + 2. What is the remainder when c is divided by u(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -235, -525, -853, -1219, -1623, -2065?\n\"Answer: -19*m**2 - 233*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5581, 6142, 6701, 7258, 7813, 8366, 8917?\n\"Answer: -u**2 + 564*u + 5018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(4))\/sqrt(12) - (sqrt(2) + sqrt(6)\/(sqrt(12)\/sqrt(4))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -724?\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 16*q**2 - q + 7. What is the remainder when f(10) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-169)\/2366*2\/((-6)\/(-3)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 69*o - 355. What is m(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -485, -999, -1605, -2351, -3285, -4455?\nAnswer: -5909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 6, -5, -18?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {j: 3, e: 2, b: 6, u: 1, l: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3180909779.91 take away -1.4?\nAnswer: 3180909781.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361169 is divided by 1705.\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 20. Let g(u) = -u - 2*u + 1 - l*u + 9*u. What is g(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -c + 25. Suppose c*a - 20 = 5*g, -5*a = g - 4*g - 10. Let z = 5 + g. Solve 5*k + z = 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/((180\/990)\/((-160)\/(-22))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*1\/(-42)*10869\/8. Let o = -129 - c. Calculate the common denominator of o and -41\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1042 - 1037. Solve 2*c + 13 = t*h - 0*h, h = 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2 + 6*f**2 + 1 - 6 - f**3 - 3*f + 0*f**3. Let k(n) be the second derivative of -n**4\/12 - 7*n**3\/6 - 5*n**2\/2 - 8*n. Let g be k(-5). Determine b(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4292 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-4)\/(-5))\/1)\/4. Which is the smallest value? (a) 11 (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*i - 4*p + 12, 18 = -3*i + 3*p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145\/(-3)*(72\/4140)\/(17\/2346).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -814165*v**3 - 2 + 814160*v**3 + 5 - 562*v - v**2 - 1 in the form r*v + y*v**3 + m*v**2 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 12*p - 2. Let h(c) = 78*c - 697. Let i be h(9). Calculate z(i).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 990495 (base 11) to base 13\nAnswer: 434cb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 12560 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12134666 - -5?\nAnswer: 12134672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 23. Let y be w(17). What is the highest common divisor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 2*v**2 - 3*v - 109. Let h(w) = 3*w**2 - 2*w - 109. Let x(k) = 2*h(k) - 3*i(k). What is the derivative of x(r) wrt r?\nAnswer: 9*r**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Let h be (j\/(-4))\/((-1)\/(-2)). Which is smaller: h or 1\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 3)\/(-1) - 6. Calculate the remainder when 7\/3*(-18 - (6 - 33)) is divided by ((-8)\/(-6))\/(n\/(-27)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.97603 to zero decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110110 + -1010111100111010000110?\nAnswer: -1010111100110100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45 * -3.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0.6. Let o = l + -0.7. Let d = 12 - 8. Which is the closest to 0? (a) 1\/4 (b) d (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 25. Suppose 360 = z*d - 0*d. What is the remainder when d is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 28*q**3 - 1 + 29*q**3 in the form s + n*q**3 + v*q**2 + l*q and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*2*-5 - (sqrt(84) + (sqrt(84) - sqrt(84)*1*6)))\/(-1*sqrt(1200) - (1*sqrt(120))\/sqrt(10)).\nAnswer: 6*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.00000052 + 2. What is l rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(4\/5)))\/j*j)\/(j\/j**(-3))*((j\/(j**(2\/3)\/j)*j)\/j)**(4\/17) assuming j is positive.\nAnswer: j**(-1144\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -255574 - 1163?\nAnswer: -256757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-184 - -55 - -135) + (1 - (2 - -9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -210 and 4455.\nAnswer: 4245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*i = 47*i + 78 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 - (4 - -7)) + 5 + (-11 - (-1 + 2)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -355, 0.5, -228, 1 in decreasing order.\nAnswer: 1, 0.5, -228, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3*102\/(-136))\/(15\/(-1080)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 51878806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 256 and 601.\nAnswer: 153856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 319 and (4640\/(-12))\/5*(1 + (1 - 5)).\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8366?\nAnswer: 2, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-6)\/d*d))\/d)\/(d\/(d**4*d))*d**4\/d**(2\/3) assuming d is positive.\nAnswer: d**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1079964, -2159521, -3239078?\nAnswer: -4318635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.05, 0.03, -2, 0.38?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1569, 3103, 4637, 6171?\n\"Answer: 1534*g + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -190 - 1541892?\nAnswer: -1542082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/(532\/16758)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -7, 5, -47, -2, -56 in ascending order.\nAnswer: -56, -47, -7, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 + 27 - 1)*(-21 + 12*m + 21) + m + 3*m - 3*m in the form q*m + o and give q.\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 1. Let k be o(-1). Let b be (0 - k\/(-1))*0. Round b to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1469 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*d - 15*d + 14. Let t be (-8)\/3 - d - 2\/(-3). Solve -2*l + l = t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11737995 and 930.\nAnswer: 23475990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11447 - -22294. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = m + r, -4*m + 256 = -2*r + r. Let q = -20 + 33. What is the remainder when m is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 57*g**5 + 5*g**3 + 20*g - 5. Let q(t) = 86*t**5 + 8*t**3 + 30*t - 8. Let r(m) = -5*q(m) + 8*s(m). What is the second derivative of r(b) wrt b?\nAnswer: 520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j. Suppose j*d - 3*d + u + 10 = 0, -d = -4*u - 18. Is (-70)\/(-4)*d\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(0 - 3\/15). Suppose -2*h + 5*v = 13, 0*h = -4*h - s*v + 49. Solve 2*i + 17 = 3*f + h, i - 3*f + 10 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 1. Suppose -b - b = -u*z + 46, 4*b + 36 = 4*z. Let g be (-90)\/z - (-69)\/161. Sort -4, -2, g in descending order.\nAnswer: -2, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-14\/9)*k)\/k*k*k)**12\/((k*k**(-30))\/k*k**(-28)\/k))**(-46) assuming k is positive.\nAnswer: k**(-15686\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -2421325?\nAnswer: -2421321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:33 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7661 = -895*l - 6090 - 14093 - 8063 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**2\/2 + 9*u - 3. Let o be y(5). Solve -1 = o*d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 567 - 2*t - 6*t - 4*t + 14*t to the form m + j*t and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(704))*3 + -6*(sqrt(704) + sqrt(704)*-4))**2.\nAnswer: 3024*sqrt(11) + 310545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 0 + 64\/5*z**2 + 37*z + 32\/15*z**3 - 2\/25*z**5 - 2\/5*z**4 + 1\/75*z**6. Factor h(b).\nAnswer: 2*(b - 4)**2*(b + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 51, 116, 217, 360, 551?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3336)\/(-5560)*(1 + (-9)\/4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 13128.\nAnswer: 65640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**8\/420 + q**4\/8 + q**3\/6 - 6*q. Let x(y) be the second derivative of k(y). What is the derivative of x(b) wrt b?\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816 = -16*q + 784 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 115*v - 1. Let o(r) = 459*r + 1983. What is o(f) - 4*t(f)?\nAnswer: -f + 1987","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5))**(-16)*(p**0)**(-4\/3)*p**(-2\/5)*p**5\/p*p**(-1)\/p**(2\/9) assuming p is positive.\nAnswer: p**(-181\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b**2 + b. Let n(a) = a**3 - 11*a**2 - 11. Let v(u) = u**2 - u. Let x(k) = -n(k) + v(k). Let d be x(12). Calculate c(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 15896.\nAnswer: -1\/3974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 35 - 90 = -5*j, -2*j - 44 = -5*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 22 + -3 - (-1292 - -1285)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 212353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0482 + -0.046656. Round c to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11040 and 21270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*z - 2*j - 170, -4*j + 40 = 2*z. Let q = z + -20. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67408992?\nAnswer: 2, 3, 7, 29, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*w + 47. Suppose -k + 5*x - 12 = 22, w = 5*x. Is 14 a factor of ((-4)\/(-3))\/(k\/(-189))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/12327925 (b) 0.4 (c) 1 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 9:47 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 593, 591, 593, 599?\n\"Answer: 2*u**2 - 8*u + 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j + 1. Let i be q(16). Put -4, i, 1 in increasing order.\nAnswer: i, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5972753?\nAnswer: 29, 205957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5) + sqrt(15)\/sqrt(3)*5) + (sqrt(3) - (2 + (sqrt(6)\/sqrt(2))**2) - (sqrt(363)*-2 + sqrt(363) - sqrt(3))).\nAnswer: -5 + 79*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1269*i = -1257*i - 4560. What are the prime factors of i?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 671 and 303699.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from cxxctjxccxtttqtxc?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((1 - 3)\/(-6))\/((-15)\/(-15)) - -1. Which is the fourth biggest value? (a) 2 (b) 0.3 (c) n (d) 5\/6 (e) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/151892 and 29\/598?\nAnswer: 151892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*k**2 - 7*k**2 - 143*k**2 + 766708*k - 766790*k)*(3*k**2 - k**2 + 0*k**2 + (2*k + 0*k - k)*(0 + k + 0) + k**2 + 0 + 0).\nAnswer: -916*k**4 - 328*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7\/c)\/(c**(2\/11)*c*c)*((c\/(c**(3\/5)\/c*c)*c)\/c)\/c**(1\/9) assuming c is positive.\nAnswer: c**(2033\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/33388, 0.2, -1.\nAnswer: -1, 1\/33388, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1604 + 1994 = 130*m. Solve i + 10 = m*k, i - 3 + 7 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h + 6. Let k be y(-5). Let u be -1*(10 + (-36)\/4). What is the closest to u in 5, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 2*n)*(-3 + 2 + 2) + (-2*n + n + 2*n)*(0 - 5 + 4))*(0 + 1 - 2).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.8 - 0.2. Let b = v + -2. Let p = -86.4 - -90.4. Sort p, b, 3\/4.\nAnswer: b, 3\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -2\/3 (b) 773 (c) 0.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66045 is divided by 9435?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (13 - (-12 + 1 + 6))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a day in hours?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -3*m**3\/2 - 13*m**2 - m. What is the remainder when 52 is divided by w(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6610 - 0.89.\nAnswer: -6610.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a factor of 83957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/3444 + -26401\/10332. Calculate the common denominator of u and 71\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 10*k - 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 divided by 71.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 + 1.7. What is the nearest to q in -2\/9, -1, -2\/37, 4?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9 = -3. Let r be -2*(18\/8 + (-1)\/i). Is 44\/12*(-2)\/(r\/318) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = 4*i, 0 = -5*d - 5*i - 0 + 5. Suppose -2*t + t - 58 = -4*j, d = -3*j - 3*t + 36. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from {v: 6, d: 6, x: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4001 - 2243. Suppose -6*l = -d - 276. List the prime factors of l.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/((-15)\/(-6)))\/((-60)\/(-25)). Which is the second smallest value? (a) y (b) -4 (c) 0.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-905)\/225)\/((-96)\/(-432))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x. Let d(i) = -2*i**2 + 2*i - 1. Suppose -37*f - 28 + 65 = 0. What is f*d(m) - 4*q(m)?\nAnswer: -2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -144 + 2?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(1452) + (sqrt(1452) - (sqrt(1452) + sqrt(1452) + -3*sqrt(1452)))).\nAnswer: sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - -45. Let c = d + -82. What is the greatest common factor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -28*n + 15. Solve n*s + 20 = -5*w, -w + 2*w - 3*s = -8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/(-6))\/((-6)\/(-6822))*-2 is divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9\/944 - 54307\/2832. Calculate the common denominator of c and -35\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 11376 + 1076 = 0. List the prime factors of l.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1192*p + 1191*p + 1194*p + 1195*p - 4773*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 - 129*s**3 + 879*s**2 - 1383*s + 630.\nAnswer: 3*(s - 35)*(s - 6)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l = -1690 + 286. What is the highest common factor of 132 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12113 (base 5) to base 2\nAnswer: 1110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 10*s**2 - 22*s - 9. Give g(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.065 (b) 1 (c) -3 (d) -0.3 (e) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*d**2 - 5*d**2 + d**2 + 13*d**2.\nAnswer: 43*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/14 - (-6)\/(6 + 162)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssdvvswvff. Give prob of sequence ss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 611 + 148 = -5*x, x - 971 = 4*q. Let d = q - -509. List the prime factors of d.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7011525 (base 10) to base 4\nAnswer: -122233303011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2. Let s(p) be the first derivative of 5*p**4\/3 + 9*p + 39. Let i(q) be the first derivative of s(q). What is i(t(d))?\nAnswer: 80*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by ((-150)\/(-100))\/(3\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 78, 98, 94, 60, -10?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjq when three letters picked without replacement from qkmjjqmjqkkqjqmm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w - 2*w - 1 + 8*w. Is p(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 3 - 3*t + 2 + 3*t. Suppose -1 - 8 = -3*o. What is the units digit of y(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12420.2904791 - 0.7314791. Let c = g - 12474.5. Let s = c + 55. What is s rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**4 - 55*j**3 + 5945*j**2 + 18295*j - 24180 = 0.\nAnswer: -39, -4, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8485029 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 88 + 2 + 9*p - 9*p.\nAnswer: -3*p - 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*j + 12*j + 10. Suppose -4*n = j*c - 252, 5*c - 4*n - n - 225 = 0. What is the common denominator of (151\/c + -4)*-3 and -35\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k - 191*k**2 + 193*k**2 - 10*k**3 - 2*k.\nAnswer: -10*k**3 + 2*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 961932 and 0.09.\nAnswer: 961932.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -115*x - 19. Calculate r(-1).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129500 by 9250.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 9*x**2 + 9*x + 26. Let l(g) = -g**2 + 24*g - 88. Let b be l(20). Let n be s(b). Calculate the greatest common factor of 18 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*s**3 - 464*s**2 - 226*s - 28.\nAnswer: -2*(s + 14)*(4*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -15. Let g = -1 - q. Solve g + 5 = -h - 5*k, 5*k = -2*h - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5560 and 32.\nAnswer: 22240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25060 and 12530.\nAnswer: 25060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 9*m - 2. Is 3 a factor of o(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1734652837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 11. Suppose -2*l = -4*d - 4, 2*l - 4 = 3*d - r. Find the second derivative of 4*u - u - u**5 - 6*u - l*u wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1697717868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - g)*(5 - 3 - 4) + 0*g + 0*g - 6*g + (16 - 9 - 3)*(2*g - 2 + 2).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-96034 - 82441 + 165465)*(0*n - n**2 + 0*n) to d*n**2 + j + y*n and give d.\nAnswer: 13010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**2 + 132160*k - 1056960 = 0. Calculate k.\nAnswer: 8, 26424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-309)\/(-721) + (-3)\/105?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -537 (base 14) to base 5.\nAnswer: -13104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - (0 + 1)) + (-13 - -46 - (33 + -4))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1304?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.1 (b) 3\/4 (c) -43\/365 (d) -0.2 (e) -1.1 (f) -2 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**17)**(-23\/2)*(s**7*s\/(s*s*s\/s**(-2\/11)))\/(s**(5\/2)*s**(3\/8)\/s) assuming s is positive.\nAnswer: s**(259\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 33\/6)*56. Let x be (-3 + (-114)\/(-24))\/(2\/104). Suppose 3*w - 539 = x. What is the greatest common divisor of c and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155*p**3 + p**2 - 26*p + 26*p + 938*p**3 + 2*p**4 to u*p**2 + k*p + h*p**3 + l*p**4 + y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 1\/20*h**6 - 1\/2*h**3 - 1\/8*h**4 - 1\/28*h**7 + 9\/40*h**5 + 0 - 4*h + 0*h**2. Let m(f) = 0. What is f?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, 14 in descending order.\nAnswer: 14, 10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 - 5*k + 3. Let d(c) = 7*c**2 - 9*c + 6. Let z(n) = 2*d(n) - 5*m(n). Let j be z(6). Solve 5*g + 7 = j*p, -4*g + 16 = 3*p - 0*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-129)\/(-344)*112\/441*-14.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9147 - 140*j + 9135 + 0*j)*(-j**3 - 4*j + 4*j) in the form r*j**3 + b + d*j**2 + c*j**4 + y*j and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -41*o**3 - 2*o**2 + 1. Let f be z(-1). Suppose 5*l = f - 15. Let p(u) = 1 + 2*u**3 - l*u - 4*u**3 - 5*u**3 + 8*u**3 + 5*u**2. Give p(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}